Find the surface area of the rectangular prism with the following dimensions:
length = 9 m
height = 10 m
width = 12 m
636 m squared
710 m squared
Streak Boost.
630 m squared
1080 m squared

Answers

Answer 1

Solving the the provided question we can say that here the surface area will be SA = 2(lb + lh + bh) = 2(108 + 120 + 90) =  636 cm sq.

what is surface area ?

An indication of the overall space occupied by an object's surface is its surface area. A three-dimensional shape's surface area is the total amount of space that surrounds it. A three-dimensional shape's entire surface area is known as its surface area. The surface area of a cuboid with six rectangular faces may be calculated by adding the areas of each face. As an alternative, you may use the formula below and name the box's dimensions as follows: Surface (SA) = 2lh + 2lw + 2hw. Surface area is a measurement of the entire amount of space filled by a three-dimensional shape's surface (a three-dimensional shape is a shape that has height, width, and depth).

here,

length = 9 m

h = 10

w = 12

SA = 2(lb + lh + bh)

= 2(108 + 120 + 90)

=  636 cm sq.

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Related Questions

how to find the acute angle of each angle in a triangle if the given angles are in the form of an equation

Answers

To find the acute angle of each angle in a triangle if the given angles are in the form of an equation follow the steps in the main answer part

What is the acute angle?

To find the acute angles of a triangle given the angles in the form of an equation, you can use the following steps:

Write down the equation for the triangle's angles, typically in the form of "angle A + angle B + angle C = 180 degrees".Use the equation to solve for one of the angles. For example, if the equation is "angle A + angle B + angle C = 180 degrees", you can solve for angle A by subtracting angle B and angle C from 180 degrees.Repeat step 2 for the other angles.Check if the angles are acute or not. An acute angle is an angle that measures less than 90 degrees.If an angle is not acute, use the property of the triangle that the sum of all the angles is 180° and subtract the angle from 180° to get the acute angle.

Example: Let's say you are given an equation,

A+B+C = 180°

If

A = 70°

B = 70° then

C = 40°

C is not acute, so subtract it from 180° to get C= 140°

Now you have A = 70° and C = 140° which are acute angles.

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ASAP
If f(x)= 3x-4, which of these is the inverse of f(x)?
O A. f-¹(x)=X-4/3
B. f¹(x)=x+4/3
OC. F¹(x) = x/3+4
OD. ¹(x)=x/3-4

Answers

Answer:

Step-by-step explanation:

f(x)=−3x−4

f

(x)=−3x−4  as an equation.

y=−3x−4     Interchange the variables.

x=−3y−4     Solve for y

y=−x3−4

3  Replace y with f−1(x) to show the final answer.

f−1(x)=−x3−43 Verify if f−1(x)=−x3−43

is the inverse of (x)=−3x−4.

F−1(x)=−x3−43

A student solved the following problem and made an error:

Triangles ABC and DEF. Angles A and F are congruent and measure 135 degrees. The coordinates for the vertices are at A 0, 2 and B 2, 4 and C 0, 0 and D 2, 0 and E 4, 4 and F 4, 2.


Line 1 segment AC equals 2, segment DF equals 2, segment AC is congruent to segment DF
Line 2 ∠A ≅ ∠F
Line 3 Length of segment AB.
A (0, 2)
B (2, 4)
d equals square root of quantity x sub 1 minus x sub 2 squared plus quantity y sub 1 minus y sub 2 squared, then d equals the square root of quantity 0 minus 2 all squared plus quantity 2 minus 4 all squared, then d equals the square root of negative 2 squared plus negative 2 squared, then d equals the square root of 4 plus 4, then d equals the square root of 8
segment AB = 2.83
Line 4 Length of segment FD.
D (2, 0)
F (4, 2)
d equals the square root of quantity x sub 1 minus x sub 2 squared plus quantity y sub 1 minus y sub 2 squared then d equals the square root of quantity 2 minus 4 all squared plus quantity 0 minus 2 all squared, then d equals the square root of negative 2 squared plus negative 2 squared, then d equals the square root of 4 plus 4, then d equals the square root of 8
segment FD = 2.83
Line 5 segment AC is congruent to segment FD
Line 6 triangle ABC is congruent to triangle FDE by SAS

In which line did the student make the first mistake?

Answers

Triangle ABC is congruent to triangle FDE by SAS congruence. Therefore, students did mistake in line 1.

What is the congruence theorem?

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

Given that, in triangles ABC and DEF

∠A≅∠F=135°

The coordinates for the vertices are at A(0, 2), B(2, 4) and C(0, 0)

In triangle DEF, we have D(2, 0), E(4, 4) and F(4, 2)

AC= 2 units and DF= 2 units

AC≅DF

Length of segment AB.

A (0, 2) and B (2, 4)

Here, d=√[(x₂-x₁)²+(y₂-y₁)²]

= √[(2-0)²+(4-2)²]

= √8

AB = 2.83

Length of segment FD.

D (2, 0)

F (4, 2)

Here, d=√[(4-2)²+(2-0)²]

FD= = 2.83

AC≅FD

Triangle ABC is congruent to triangle FDE by SAS congruence

Hence, students did mistake in line 1.

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If mary had 456 apple, and her iter had half of mary apple, and they both give half of their apple to their mom, nhow many apple doe the girl till have?

Answers

Answer:

Mary:228

iter:114

Step-by-step explanation:

Mary's "iter" would have 228 apples (half of what mary has) and would be left with 114 after giving half to her mother.

Mary would be left with 228 apples because 456/2=228.

what is y=x-1 if y=x+5

Answers

Answer:

I think your question is incorrect

He tax rate a a percent, r, charged on an item can be determined uing the formula StartFraction c Over p EndFraction minu 1 equal r. – 1 = r, where c i the final cot of the item and p i the price of the item before tax. Louie rewrite the equation to olve for the final cot of the item: c = p(1 ). What i the final cot of a $40 item after an 8% tax i applied?

Answers

A $40 item will ultimately cost $43.2 when an 8% tax is included.

The formula Lousie used is:

c = p(1 + r)

We will solve this problem with the help of percentages.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

We are given that the price of the item is $40

r = 8% .

Therefore,

c = 40(1 + 8%)

c = 40 (1 + 8/100)

c = 40 ((100+8)/100)

c = 40 (108/100)

c = 40 * 1.08 = 43.2

Final cost = $43.2

Therefore the final cost of the $40 item after an 8% tax is applied will be $43.2.  

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Juanita has saved 20% of the money that she needs to buy a new bicycle If she has saved $36 how much money does the bycycle cost

Answers

Answer:

$180

Step-by-step explanation:

20*5=100

36*5=180

Answer: the cost of the bicycle is 180$

Step-by-step explanation:

If Juanita has saved 20% of the money she needs to buy a new bicycle and she has saved $36, we can calculate the cost of the bicycle using the following formula:

(100% - 20%) x cost of bicycle = $36

To find the cost of the bicycle, we can divide both sides of the equation by 80% (100% - 20%), like this:

cost of bicycle = $36 / (100% - 20%)

We know that Juanita has saved $36 and the percentage saved is 20% , so the cost of the bicycle is $180

Do sides 7cm 24cm 25cm form a right angled triangle *?

Answers

Given, sides of the triangle are 7 cm, 24 cm, and 25 cm. Squaring the lengths of the sides of the, we will get 49, 576, and 625. Therefore, the above equation satisfies, Pythagoras theorem. Hence, it is right angled triangle.

Which are side of a right triangle 7 24 and 25?Yes, 7, 24, 25 is a Pythagorean Triple and sides of a right triangle. Yes, 9, 40, 41 is a Pythagorean Triple and sides of a right triangle. No, 11, 56, 57 do not represent the sides of a right triangle.The triangle is therefore not acute. Thirteen plus seven equals twenty, and twenty is more than nine. The Triangle Inequality Theorem is satisfied by this set of side lengths. A triangle is formed by these lengths. No, not in the traditional sense of the word (Euclidean geometry). A "degenerate triangle" is possible, but it isn't exactly a triangle in the sense that we often think of triangle 8 + 7 = 15 the length of any two sides added together.

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Use the origin as the center of dilation and the given scale factor to find the coordinates of the vertices of the image of the polygon.

k = 2

Answers

The coordinates of the points after dilation is P'(6,10), Q'(8,0), and R'(2,2).

What is dilation?

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size.

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size.

Given that the scale factor is 2. The coordinates of the points after dilation is,

P(3,5) = P'(6,10)

Q(4,0) = Q'(8,0)

R(1,1) = R'(2,2)

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6. Keith's charge account uses the unpaid-balance method to compute the finance charge
at a monthly periodic rate of 1.5%. His previous balance was $200. During the month,
he charged $178.62, made a $200 payment.
a. What is Kieth's unpaid balance?
b. What is Kieth's finance charge?
c. What is Kieth's new balance?

Answers

Keith's unpaid balance is $178.62, finance charge is $2.6795 and new balance is $181.2995

Kieth's unpaid balance

To find Keith's unpaid balance, we need to find the difference between the previous balance and the payments made during the month.

Keith's previous balance was $200.

During the month, he charged $178.62, made a $200 payment.

So, Keith's unpaid balance is:

$200 (previous balance) - $200 (payment) + $178.62 (charges) = $178.62

Finance charge

To find Keith's finance charge, we need to multiply the unpaid balance by the monthly periodic rate (1.5% in this case).

Keith's finance charge is:

$178.62 (unpaid balance) * 0.015 (monthly periodic rate) = $2.6795

New balance

To find Keith's new balance, we need to add the finance charge to the unpaid balance.

Keith's new balance is:

$178.62 (unpaid balance) + $2.6795 (finance charge) = $181.2995

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Why 5 Is it possible to construct a triangle with lengths of its sides as 4 cm 3 cm and 7 cm give reason for your answer?

Answers

It is not possible to construct a triangle with the given lengths (4,3,7).

A triangle is a polygon. It has three sides and three vertices. It is one of the famous shapes in geometry. A triangle has three vertices A, B, and C, and is denoted ΔABC.

Triangle Inequality Theorem :

The summation of the lengths of any two sides of a triangle is greater than the length of the third side.

Given three sides are 4,3,7cm

We know that the summation of two sides of a triangle is greater than the third side.

But given sides, 4+3=7 ( using addition)

Hence, it is not likely to construct a triangle with lengths of sides 4cm, 3cm, and 7cm.

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HELPPP AGAIN PLEASEE. What is the equation of the line that passes through the point (-6,5) and has a slope of -3/2?

Answers

Answer:

y - y1 = m(x - x1)

y - 5 = -3/2 [x - (-6) ]

2 (y - 5) = 2 × -3/2 [x - (-6) ]

2y - 10 = -3 [x + 6]

2y - 10 = -3x - 18

2y- 10 + 3x + 18 = 0

2y + 3x -10 + 18 = 0

2y + 3x + 8 = 0

Step-by-step explanation:

I stated the formula to find the equation of the line . Then replaced the y1 and x1 with -6 and 5 respectively. I multiplied the whole equation by the LCM, which is 2. Group the whole equation to the left and equate it to 0. Then group like terms and solve. The final answer is the equation of the line

24. Mr. Karbon is 35 years old and his heart beats on average 62 beats per minute.
How many times has his heart been beating during his life? (assume there are no leap
years)

Answers

Mr. Karbon 1,14,05,52,000 times has his heart been beating during his life.

Adults typically have a resting heart rate between 60 and 100 beats per minute. A lower resting heart rate typically indicates improved cardiovascular fitness and more effective cardiac function. A well-trained athlete, for instance, might have a typical resting heart rate that is closer to 40 beats per minute.

Based on your age, you may calculate your maximum heart rate. Subtract your age from 220 to get a ballpark idea of your maximal age-related heart rate. For instance, the predicted maximum age-related heart rate for a 50-year-old person would be computed as 220 - 50 years = 170 beats per minute (bpm).

There are total 60 minutes in an hour,

1440 minutes in a day,

There are 365 days in a year,

and Mr. Karbon has lived for 35 years.

his heart beats on average 62 beats per minute.

His heart has beaten for 35 × 365 × 1440 × 62

1,14,05,52,000 times has his heart been beating during his life.

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52.8% as fraction in simplest form

Answers

Answer:

66/125

Step-by-step explanation:

%52.8 = 52.8/100

= 0.528

0.528/1 x 1000/1000

=528/1000

=66/125

If the length of each side of a square is represented by 3x + 5, which expression represents the perimeter?
(1)
2)
3)
4) 9x² + 6x + 25
6x +10
12x + 20
12x² + 20

Answers

The expression that represents the perimeter is 12x+20 the correct option is C



What is perimeter?

Perimeter is the sum of length of the sides used to made the given figure. A regular figure with n-sides has n equal sides in it, and they are the only parts of it(that means, nothing more than those of equal length n sides).

Given;

The length of each side of square= 3x+5

Perimeter of square= 4a

where, a is the length of each side

So,

 perimeter= 4 x (3x+5)

                  = (4 x 3x) + (4 x 5)

                  = 12x +20

Therefore, the perimeter will be12x+20

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What is the quotient of 2.506 × 108 and 8.95 × 104
* expressed in scientific
notation?

Answers

The quotient of 2.506 × 10^8 and 8.95 × 10^4 expressed in scientific

notation is  2.8 x 10^3.

What is the quotient?

Quotient is the result of the division process. Scientific notation is a method that is used to compress larger numbers into smaller numbers. In order to write a number in scientific notation, the number is expressed as a power of 10. For example, 1000 in scientific notation is 1 x 10³.

(2.506 x 10^8) ÷ (8.95 x 10^4)

= (2.506 / 8.95) x 10^8 - 4

0.28 x 10^4

2.8 x 10^4 - 1

= 2.8 x 10^3

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The total charge on 4 particles is −36 units. All the particles have the same charge. What is the charge on each particle? (3 points) a −9 units b −8 units c 8 units d 9 units

Answers

We are given
total number of particles =4
and
total sum of charge=-36
Since, all the particles have the same charge
and total charge is negative
so, charge on each particle must be negative
now, we can use formula to find change on each particle
charge on each particle = (total sum of charge)/( total number of particles)
now, we can plug values
and we get
The charge on each particle is

-36
= -----
4

= -9 units..............Answer

Melissa is planning a rectangular vegetable garden with a square patch for tomatoes. She wants the length of the garden to exceed three times the length of the tomato patch by 2 feet. She also wants the garden’s width to exceed the width of the tomato patch by 5 feet.

Let x represent the length, in feet, of the square tomato patch.

Write expressions to represent the length and width of Melissa’s vegetable garden in terms of x.

Enter the correct answer in the box.
y = ____

Answers

The expressions to represent the length and width of Melissa’s vegetable garden in terms of x include the following:

y = 3x + 2.

y = x + 5

How to write the required expressions?

In order to write the expressions representing the length and width of Melissa’s vegetable garden, we would assign variables to its dimensions as follows;

Let the variable x represent the length of the tomato square patch.Let the variable y represent the length of the rectangular vegetable garden.

Since Melissa wants the length of her rectangular vegetable garden to exceed three (3) times the length of the tomato square patch by 2 feet, the length of the rectangular vegetable garden with respect to its length is given by:

y = 3x + 2.

For the width, an expression for the rectangular vegetable garden's width with respect to the width of the tomato square patch is given by:

y = x + 5

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What is the equation of this line in slope intercept form?
y = mx + b

m = slope
b = y-intercept

Answers

The equation of the line in slope intercept form is y = -4x + 1.

What is Slope?

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Intercept of a line is the point where the line touches with one of the axis.

The general equation of a line in slope intercept form is,

y = mx + d, where m is the slope and d is the y intercept.

y intercept point touches the y axis.

Take any two points from the line.

Let it be (0, 1) and (-1, 5).

Slope = (5 - 1) / (-1 - 0) = 4 / (-1) = -4

m = -4

We have the point (0, 1), where the line touches the Y axis.

y intercept, d = 1.

Equation of the line is,

y = -4x + 1

Hence the equation of the line is y = -4x + 1, when slope is -4 and y intercept is 1.

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6(x + 3) = -84
Show work

Answers

Answer: -14

Step-by-step explanation:

1) Distribute

6(x+3) =-84

6*x + 6*3 =-84

6x + 18 = -84

2) Addition/Subtraction Inverse

6x + 18 =-84

-18. -18

3) Divide/Multiply Inverse

6x = -84

-84/6x = -14

Answer:

x = -17

Step-by-step explanation:

6(x + 3) = -84

6x + 18 = -84

6x = -84 - 18

6x = -102

x = -102 : 6

x = -17

------------------------------------

check

6(-17 + 3) = -84

-102 + 18 = -84

-102 = -84 - 18

-102 = -102

the answer is good

i need help on question 7 please!!!

Answers

For a single serving, 1 4/5 pounds of chicken is needed.

What is the fraction?

A fraction is a way of representing a part of a whole. It consists of two parts: the numerator and the denominator. The numerator represents the number of parts being considered, and the denominator represents the number of parts in the whole.

To find out how many pounds of chicken will be needed for a single serving, we need to divide the amount of chicken needed for 4 servings by the number of servings.

The amount of chicken needed for 4 servings is 4 4/5 pounds. To convert it to a single serving we will divide it by 4.

(4 4/5) / 4 = (4 + 4/5) / 4 = 4/4 + 4/5*4/4 = 1 + 4/5 = 1 4/5 pounds

Hence, for a single serving, 1 4/5 pounds of chicken is needed.

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one more than the difference between 18 and 7 times a number is -9

eight times a number plus 6 less than twice the number is 34

twelve less than the quotient of a number and 8 is -1

i don't think they're supposed to be fractions as going over the others in class didn't and tried checking over my work

Answers

Answer:

The difference between 18 and seven times a number:    18 - 7x

Step-by-step explanation:

(ii)  One more than the difference between 18 and seven times a number:

Add 1 to the expression from step (i) and get

1 + (18 - 7x)

(iii)  One more than the difference between 18 and seven times a number is -9:

Set expression from step (ii) equal to -9 and get

1 + (18 - 7x) = -9

You can simplify and solve for x.

Is it possible to have a triangle with the following sides 3cm 5cm 7cm?

Answers

One can create a triangle with the sides 3 cm, 5 cm and 7 cm.

We can check the possibility of constructing a triangle through side-side-side. It states that the sum of any two sides of triangle should be greater than third side of the triangle. Therefore, let us say 3 cm is side a, 5 cm is side b and 7 cm is side c.

Now, checking the rule.

Side a + side b > side c

3 + 5 > 7

Add the digits on left

8 > 7

Side b + side c > side a

5 + 7 > 8

Add the digits on left

12 > 8

side c + side a > side b

8 + 5 > 7

Add the digits on left

13 > 7

The side-side-side rule of triangle is followed in all the cases, and hence triangle formation is possible.

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What is the accepted ratio * 1 point of an enlarged scale drawing?

Answers

Scale is represented as a ratio, such as 1:100. A drawing with a scale of 1:100 indicates that the thing is 100 times smaller than it would be in real life. You may also remark that one unit in the illustration equals one hundred units in real life.

What is the ratio of the larger scale?

Enlarging scale indicates that the drawing is made with larger dimensions than the real dimensions of the thing. A representative proportion of 1:0.2 equals 5:1, implying that the depiction is five times larger than the actual thing. As a result, the scale is increasing in size.

On November 28, 2022, it was revised. A ratio scale is a quantitative scale with a real zero and equal gaps between nearby points. In contrast to an interval scale, a zero on a ratio scale indicates that the variable being measured is completely absent. Ratio scales include things like length, area, and population.

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Scale is represented as a ratio, such as 1:100. A drawing with a scale of 1:100 indicates that the thing is 100 times smaller than it would be in real life. You may also remark that one unit in the illustration equals one hundred units in real life.

What is the ratio of the larger scale?

Enlarging scale indicates that the drawing is made with larger dimensions than the real dimensions of the thing. A representative proportion of 1:0.2 equals 5:1, implying that the depiction is five times larger than the actual thing. As a result, the scale is increasing in size.

On November 28, 2022, it was revised. A ratio scale is a quantitative scale with a real zero and equal gaps between nearby points. In contrast to an interval scale, a zero on a ratio scale indicates that the variable being measured is completely absent. Ratio scales include things like length, area, and population.

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Assignment is due tonight!!!! Please help

Erik and Nita are playing a game with numbers. In the game, they each think of a random number from 0 to 20. If the difference between their two numbers is less than 10, then Erik wins. If the difference between their two numbers is greater than 10, then Nita wins. Use the information in the interactive and what you know about absolute value inequalities to better understand the game.

Answers

The inequality for Erik to win is

|x- y| ≤ 10

And for Nita to win

|x- y| ≥ 10

What is Inequality ?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), larger than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Inequalities define the connection between two values that are not equal. Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than. The different inequality symbols, characteristics, and methods for resolving linear inequalities in one variable and two variables will all be covered in this article along with examples.

In the problem let the number chosen by Erik and Nita be x and y respectively .

here both x,y  ≤ 20

so the inequality for Erik to win is

|x- y| ≤ 10

And for Nita to win

|x- y| ≥ 10

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Is my birthday divisible by 3?

Answers

Yes, your birthday is divisible by 3.

To check if a number is divisible by 3, the sum of its digits must be divisible by 3. To determine the sum of the digits of your birthday, we can use the formula:

Birthday = abc

Sum of digits = a + b + c

For example, if your birthday is the 7th of December, 2020:

Birthday = 07122020

Sum of digits = 0 + 7 + 1 + 2 + 2 + 0 + 2 + 0 = 14

Since 14 is divisible by 3, your birthday is divisible by 3.

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Find the missing side length. Tell if the side lengths form a Pythagorean triple. Also, identify the correct explanation.

Answers

The missing side length is 17 and the side lengths 8, 15, and 17 form a Pythagorean triple.

Side lengths: 8, 15

Missing side length: 17

Yes, the side lengths form a Pythagorean triple. The side lengths 8, 15, and 17 form a Pythagorean triple because 8^2 + 15^2 = 17^2.

To answer this question, we first need to determine if the side lengths 8, 15 and the missing side length form a Pythagorean triple. To do this, we use the Pythagorean theorem which states that the sum of the squares of the two shorter sides of a right triangle is equal to the square of the longest side. If this is true, then the side lengths form a Pythagorean triple.

In this case, we can plug in the side lengths 8 and 15 into the Pythagorean theorem. 8^2 + 15^2 = 17^2. Since the equation is true, this means that the side lengths 8, 15 and 17 form a Pythagorean triple. Therefore, the missing side length is 17.

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Quarter 2 Assessment
The line models the temperature on a certain winter day since sunrise. What is the y-intercept of the
line? What does the y-intercept represent?
Temperature (degrees Celsius)
10-
6
4
0
Temperature Since Sunrise
2
6
4
Hours after Sunrise
00-
8
10
I
The y-intercept is
What does the y-intercept represent?
O
O
O
O
The rate the temperature increases
The temperature at sunrise
The temperature at sunset
The rate the temperature decreases

Answers

The point on a line where it crosses the y-axis is known as the y-intercept.

Graphs and charts are useful visual aids because they make information accessible and quick to understand. Therefore, it is not unexpected that print and electronic media frequently use graphs. When data is displayed as a graph rather than a table, it can often be easier to understand because the graph might show a pattern or comparison.

The temperature initially climbs to 5 degrees Celsius.

formula for a line

A line's y-intercept, also known as the point where the x-coordinate equals zero, is where the line intersects the y-axis.

You can see from the graph that the line intersects the y-axis at y = 5. This demonstrates that the temperature initially increases to 5 degrees Celsius.

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Complete question -

What was the principal for continuously compounded account earning 3.9% for 15 years that
now has a balance of $2,656,586.66?
$4,768,549.11
$1,496,548.42
$1,480,000

Answers

This problem is related to the concept of continuous compounding, which is a method of calculating the interest earned on an account over a certain period of time. The formula for calculating the principal amount for a continuously compounded account earning 3.9% for 15 years is as follows:

P = A/ (1 + r)^t

Where P is the principal, A is the balance after 15 years, r is the rate of interest and t is the number of years.

In this problem, P = $4,768,549.11, A = $2,656,586.66, r = 3.9% and t = 15.

Therefore, the principal for the continuously compounded account earning 3.9% for 15 years is $4,768,549.11

What are the lines of longitude also called as Class 6?

Answers

Longitudes: The vertical lines running north-south, join the two poles. They are called the meridians of longitude. They are spaced farthest apart at the equator and converge at a point at each pole.

Horizontal lines called latitudes are used to measure distances north or south of the equator. Vertical lines known as longitudes are used to determine the west or east of the meridian in Greenwich, England. Latitude and longitude work together to help cartographers, geographers, and others find specific locations on the globe.

What is the uses of latitude?

Any location's distance from the equator may be determined using its latitude, which is based on its degree. We can locate any point on Earth using longitude and latitude. The GPS or Global Positioning System uses these coordinates.

The grid system that enables us to locate absolute or precise places on the surface of the Earth is made up of latitude and longitude. Latitude and longitude can be used to pinpoint certain locations. Landmark identification also benefits from knowledge of latitude and longitude.

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