The perimeter of the isosceles triangle with altitude 30 inches and base 10 inches is calculated to be 70.82 inches
How to find the perimeter of the isosceles trianglePerimeter of a triangle refers to the surface dimensions, this is calculated by the formula
Perimeter, P = a + b + c
where
a, b, c are sides of the triangle
The third side of the triangle will be calculated using Pythagoras theorem given by the the formula
hypotenuse² = opposite² + adjacent²
The right triangle consist 1/2 the isosceles triangle base = 5 inches and the altitude = 30 inches
plugging the values as in the problem
let x be the required distance
x² = 30² + 5²
x² = 900 + 25
x² = 925
x = √925
x = 30.41 inches
Perimeter of the isosceles triangle
= 30.41 + 30.41 + 10
= 70.82 inches
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There are 100 marbles in a jar
There are 9 times as many red marbles
as there are blue marbles. How many
blue marbles are in the jar?
Answer:
Step-by-step explanation:
take 9 divided by 5 wich = 1.8
You are at an altitude of 250 feet in a hot-air balloon. You turn the burner on high and rise at a rate of 20 feet per minute for 5 minutes. Your altitude h after you have risen for t minutes is given by the function h = 250+ 201. (a) Make a table to show the altitude as a function of the number of minutes you have traveled. (b) Graph your data points-make sure to label the units on your axes. (c) Does it make sense to connect the points on the graph? Explain. 400 Altitude # of minutes ( in feet) 350 300 1 250 1.5 200 150 3 100 4 50 1 2 4 5 6 3. 2. Question Name: Date: Page 5 of 6 7. You are at an altitude of 250 feet in a hot-air balloon. You turn the burner on high and rise at a rate of 20 feet per minute for 5 minutes. Your altitude h after you have risen for t minutes is given by the function h = 250 + 20t. (a) Make a table to show the altitude as a function of the number of minutes you have traveled. (b) Graph your data points-make sure to label the units on your axes. (c) Does it make sense to connect the points on the graph? Explain. 400 Altitude # of minutes ( in feet) 350 300 1 250 1.5 200 150 3 100 4 50 5 1 3 4 5 (d) After 5 minutes, you turn the burner to low. This gives just enough heat to keep the balloon from falling but not enough to make it rise any higher. Plot a point on the graph to show how high the balloon is after 6 minutes. (e) Does it make sense to connect the point plotted in part (d) to the rest of the graph? Explain. (f) What is the domain of the function? (g) What is the range of the function? Transcribed Image Text:Name: Date: Page 5 of 6 7. You are at an altitude of 250 feet in a hot-air balloon. You turn the burner on high and rise at a rate of 20 feet per minute for 5 minutes. Your altitude h after you have risen for t minutes is given by the function h = 250 + 20t. (a) Make a table to show the altitude as a function of the number of minutes you have traveled. (b) Graph your data points-make sure to label the units on your axes. (c) Does it make sense to connect the points on the g
Yes, when we connect the points, we get straight line.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Given that, you are at an altitude of 250 feet in a hot-air balloon. You turn the burner on high and rise at a rate of 20 feet per minute for 5 minutes.
Your altitude h after you have risen for t minutes is given by the function h = 250+ 20t.
a) Make a table to show the altitude as a function of the number of minutes you have traveled.
t h
0 250
1 270
2 290
3 310
b) Graph the points, (0, 250), (1, 270), (2, 290) and (3, 310).
c) Yes, when we connect the points, we get straight line.
Hence, graph the points, (0, 250), (1, 270), (2, 290) and (3, 310).
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find a number such that 30% of it is 1260
well, that number is "x", which oddly enough is the 100%, now, we also know that 30% of that is 1260, so hmmmm
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 1260& 30 \end{array} \implies \cfrac{x}{1260}~~=~~\cfrac{100}{30} \\\\\\ \cfrac{ x }{ 1260 } ~~=~~ \cfrac{ 10 }{ 3 }\implies 3x=12600\implies x=\cfrac{12600}{3}\implies x=4200[/tex]
Where did Nathan make a mistake?
In Step 1, Nathan did not multiply
both terms in parentheses by-3.
In Step 2, Nathan did not simplify
5x 3x correctly.
In Step 3, Nathan did not divide
by the correct number.
In Step 4, Nathan did not simplify
correctly.
<->) -24
8
Answer:
The question is not detailed enough
Answer:
In step 2, Nathan did not simplify 5x - 3x correctly.
Step-by-step explanation:
In step 2, Nathan was one number off the correct simplification.
The numerical coefficient of 3xy2 is 2 true or false
Answer:
false
Step-by-step explanation:
[tex]3xy^{2}[/tex]
The coefficient is 3
Hope this helps
I need help with these two questions please help!!
An unknown numerical value in an equation or algebraic expression is represented by a symbol (often a letter) in algebra. The variable is 28 square feet with x = 150 and A = (4)(7).
What is the simple definition of variable?A variable is anything that can take on any one of a number of values, such as a quantity, a sign for a variable, or an element of a scientific experiment that is susceptible to change.
Any traits, figures, or amounts that may be gauged or counted are considered variables. Another name for a variable is a data item. Variables include things like age, sex, business income and expenses, birthplace, capital expenditures, class grades, eye colour, and vehicle type.
A variable is a value that can be altered depending on the mathematical issue. Numerous mathematical expressions and equations use the generic letters x, y, and z.
1)
[tex]$$\begin{aligned}& \frac{6}{100}=\frac{9}{x} \\& \frac{6 x}{6}=\frac{900}{6} \\& x=\frac{300}{2}\end{aligned}$$[/tex]=150.
2)
[tex]$A=(4)(7)$[/tex]
[tex]$A=28$[/tex] thirty feet
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1 yard in 6 minutes
Question 1
Part A
Find the unit rate.
Enter the correct answer in the box.
Answer: 0.166666667 yards OR 0.1524 meters OR 0.5 feet
Step-by-step explanation:
1 / 6 = 0.166666667 yards
1 yard = 0.9144 meters
0.9144 / 6 = 0.1524 meters
1 yard = 3 feet
3 / 6 = 0.5 feet
Find the value of x .
Answer:
x = 45°
Step-by-step explanation:
x° + 45° + 90° = 180°
x° + 135° = 180°
x° = 180° – 135°
x° = 45°
i hope this helped
AMERICA EATS 350 PIZZA SLICES EVERY SECOND HOW MANY DO THEY EAT IN HALF IN HOUR
630,000
Step-by-step explanation:
350x60=21,000
21,000x30=630,000
Mississipi has the lowest income at 40.6 thousand dollars.Mississippi also has about 207 bacherlors degree per 1000 people what does the linear model estimate for that number of bachelors degrees per 1000 per person for Mississippi based on the median income? How good is this estimate?
Answer: A linear model is a type of mathematical equation that describes the relationship between two variables, such as median income and the number of bachelor's degrees per 1000 people. In order to estimate the number of bachelor's degrees per 1000 people for Mississippi based on the median income, you would need a linear equation that describes that relationship.
Without that equation, it's not possible to estimate the number of bachelor's degrees per 1000 people for Mississippi based on the median income.
Additionally, without more information about the data that the model was trained on, the correlation between median income and the number of bachelor's degrees per 1000 people and how accurate and reliable the model is, it's difficult to determine the goodness of this estimate. However, in general, a linear model may provide only a rough estimate, especially if the relationship between the variables is complex or non-linear.
Step-by-step explanation:
Ready
Equivalent Expressions & the Distributive Property-
A tiny house has a length of 25 feet. The width of the kitchen is 3 feet, and the width of the
remaining living space is 12 feet.
Which expression represents the area
of the tiny house?
3(12+25)
25-3+12
25(3+12)
3-12 +25
25 ft
3 ft
12 ft
Answer: The area of the tiny house can be represented by multiplying the length of the house by the width. Since the width of the kitchen is 3 feet, and the width of the remaining living space is 12 feet, the total width of the house is 3+12 = 15 feet.
So the area of the tiny house is 25 ft * 15 ft = 2515 = 375 sq ft.
The expression that correctly represents the area of the tiny house is 25 * 15 =375.
So the correct answer is 2515 = 375 ft^2
The other expressions you gave are not the correct representation of the area of the house
3(12+25) = 3 * 37 = 111 ft^2
25-3+12 = 25 - 3 + 12 = 34 ft^2
25(3+12) = 25 * 15 = 375 ft^2
3-12 +25 = 3 - 12 + 25 = 16 ft^2
25 ft , 3 ft and 12 ft are not represent the area of the house.
Step-by-step explanation:
A company tests a new battery for an electric car. The distance the car travels, d km, and the charge left in the battery, C%, are measured. Some measurements are shown in the table. Find the C-axis intercept of the line. Pls help I would really appreciate it!
Based on the measurements shown in the table, the C-axis intercept of the line is equal to 100.
What is y-intercept?In Mathematics, the y-intercept of any graph such as a linear function, exponential function, polynomial function, quadratic function, etc., generally occur at the point where the value of "x" is equal to zero (x = 0).
What is the x-intercept?In Mathematics, the x-intercept can be defined as the point at which the graph of a linear function, exponential function, polynomial function, quadratic function, etc., crosses the x-coordinate and the value of "y" is equal to zero (y = 0).
In this scenario, the C-axis intercept of the line simply refers to x-intercept. Therefore, we can reasonably infer and logically deduce that the C-axis intercept of the line (x-intercept) is equal to 100 while the d-axis intercept of the line (y-intercept) is equal to 200.
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The manager of a theatre recorded the number of people that brought tickets for each movie. What is the probability that next person in line will purchase a ticket to see movie #2
how many movies were there?
(1,0) m=-5
Formula
Y-Y1 = m(x-x1)
Slope form
Slope form -
y - y1 = m(x - x1)
y - 0 = -5(x - 1)
y = -5x + 5
Philip is twice as old as Annie. Paul is 4 years older than Phillip and Chris is 2 years younger than Annie. Which represents the order of the children by age, from oldest to youngest? A. Paul, Phillip, Annie, Chris B. Chris, Paul, Annie, Phillip C. Annie, Phillip, Paul, Chris D. Paul, Phillip, Chris, Annie
Option -A is correct that is the order of the children by age, from oldest to youngest is Paul, Phillip, Annie, Chris.
Given that,
There are 4 children's. The names of the children's are Philip, Annie, Paul and Chris.
Philip is twice as old as Annie. Paul is 4 years older than Phillip and Chris is 2 years younger than Annie.
We have to find which represents the order of the children by age, from oldest to youngest.
We know that,
Lets us take the ages if the children's as a,b,c,d of Philip, Annie, Paul and Chris.
Philip is twice as old as Annie.
That means a = 2b
Paul is 4 years older than Phillip and
That mean c =4+a
Chris is 2 years younger than Annie.
That means d=b-2
So,
If we take the age of Philips as 20
Then Annie is 10, Paul is 24 and Chris is 8.
Therefore, Option -A is correct that is the order of the children by age, from oldest to youngest is Paul, Phillip, Annie, Chris .
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two angles add up to 180 if and only if they are supplementary
Answer:
True
Step-by-step explanation:
You want to know if it is true or false that "two angles add up to 180° if and only if they are supplementary."
Supplementary anglesTwo supplementary angles have a sum of 180°. That is the definition of supplementary angles. The offered statement is True.
Given m || n , find the value of x.
Answer:
54°
Step-by-step explanation:
Angles corresponding in parallel lines are the same
Select the locations on the number line to plot the points 1, 4, and −3.
The locations of the points on the number line are:
point 1: 1 step to the right of 0.
point 4: 4 steps to the right of 0.
point -3: 3 steps to the left of 0
How to select the locations on the number line to plot points?
A number lines is an horizontal straight line in which the integers are placed in equal intervals.
All positive numbers on the number line are on the right side of zero while the negative numbers are on the left side of zero.
To locate 1: starting from 0, count 1 step to the right.
To locate 4: starting from 0, count 4 steps to the right.
To locate -3: starting from 0, count 3 steps to the left.
Check the attached image to see the points.
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A right triangle with coordinates A (-2,5), B (-2, 9) and C (4,5) is first rotated 90 degrees clockwise and then
translated 1 unit left and 2 units down to form triangle A'B'C'. What is the measure of angle B'A'C', in
degrees, in the resulting figure?
Answer:
90 degree
Step-by-step explanation:
since the angle BAC is 90 degree, no matter the triangle is rotated, or translated , the angld of the triangle do nit change.
To illustrated this, see attached pages.
The vehicle's fuel efficiency is no less than 35 miles per gallon and I have fuel efficiency of eight new cars so what is the percentage of these cars? The fuel efficiency of the new cars is 42, 16, 54, 13, 31, 23, 13, 27
37.5% of the cars have a fuel efficiency of at least 35 miles per gallon.
What is the Percentage of Cars?To find the percentage of cars that have a fuel efficiency of at least 35 miles per gallon,
We first need to determine how many of the eight cars meet that threshold.
To do this, we can compare each car's fuel efficiency to 35 miles per gallon, and count the number that is greater than or equal to 35.
Identify the cars that have a fuel efficiency of at least 35 mpg: 42, 42, 54,
count the number of cars which is 3
divide it by 8 which is the total number of cars
Multiply the result by 100 to get the percentage, so:
3/8 * 100 = 37.5%
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The width of a rectangle measures (k+3)(k+3) centimeters, and its length measures (k-9)(k−9) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
Answer:
(k+3)(k+3) + (k-9)(k-9), or p = (k+3)^2 + (k-9)^2, or p = 4k^2 - 24k + 180
Step-by-step explanation:
A rectangle has four sides, two sides both have equal width, while the other two have equal length. The perimiter is the total sum of these sides. We can use the following equation to represent the perimiter using the width and length:
p = 2w + 2l
We know that the width equals (k+3)(k+3), so 2w would equal 2(k+3)(k+3). In the form of a quadratic equation, this would equal 2k^2+12k+18.
We also know that the length equals (k-9)(k-9), so 2l would equal 2(k-9)(k-9). As a quadratic equation, this would equal 2k^2-36k+162.
Plugging these values into our equation we get:
p = (k+3)(k+3) + (k-9)(k-9), or p = (k+3)^2 + (k-9)^2.
Or in the form of a quadratic equation:
p = 2k^2 + 12k + 18 + 2k^2 - 36k + 162
=
p = 4k^2 - 24k + 180
Hope this helps!
The perimeter of the rectangle can be calculated using the formula 2(length + width). Substituting the given expressions for length and width, we get 2[(k+3)(k+3)+(k-9)(k−9)]. This simplifies to the expression 4k^2-24k+180.
Explanation:The perimeter of a rectangle is calculated by adding the lengths of all its sides. With the width given as (k+3)(k+3) centimeters, and the length as (k-9)(k−9) centimeters, we can substitute these into the formula for the perimeter of a rectangle, which is 2(length + width).
Therefore, the expression representing the perimeter of the rectangle is 2[(k+3)(k+3)+(k-9)(k−9)]. This simplifies to 2[(k^2+6k+9)+(k^2-18k+81)], which further simplifies to 2[2k^2-12k+90], and ultimately simplifies to 4k^2-24k+180.
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graph f and h , write h in terms of f, describe the transformation from the graph of f to the graph of h .
the equation :
f(x) = x; h(x) = x + 1
Equations go into one of two categories: identities or conditional equations. An identity holds true for each value of the variables. A conditional equation is valid only for certain values of the variables.
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
Finding the variables' values that cause the equality to be true is the first step in solving an equation with variables. The variables for which the equation must be solved are also known as the unknowns, and the unknowns' values that fulfill the equality are known as the equation's solutions. Equations can be categorized as either identities or conditional equations. For each value of the variables, an identity holds true. Only specific values of the variables make a conditional equation true.
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Please help will mark Brainly
Answer: A) solution is 1
Step-by-step explanation:
17.
Marita purchased an item for 25% off the original price, plus an additional 20% off the
sale price. She also had a $10-off coupon, which the salesclerk applied after these two discounts. Marita's
final purchase price for the item was $30. Assuming she paid no sales tax, what was the original price of the
item Marita purchased?
Answer:
Marita had a $10-off coupon, so she paid $50 - $10 = $40 for the item
Step-by-step explanation:
To find the original price of the item, we need to work backwards through the discounts and find the price of the item before any discounts were applied.
We'll call the original price of the item "x."
First, we know that Marita received a 25% discount on the item, which means she paid 100% - 25% = 75% of the original price.
Then, Marita received an additional 20% discount on the sale price, which means she paid 100% - 20% = 80% of the 75% discounted price.
So, Marita paid 80% of the original price, which was reduced by a 25% discount. That means she paid 0.8 * 0.75 = 0.6 * original price = $30.
Therefore, the original price of the item was $30 / 0.6 = $<<30/0.6=50>>50.
Finally, Marita had a $10-off coupon, so she paid $50 - $10 = $40 for the item.
The point (0,0) is located on a line with slope of 3/4. which point could also be located on the line?
Answer:
Below
Step-by-step explanation:
The equation of the line will be y = 3/4 x pick ANY value of 'x' to find the corresponding 'y' value
Say x = 8 then y = 6 8,6 is a point on the line
Answer:
(1 , 0.75)
(2 , 1.5)
(3 , 2.25)
(4 , 3)
(5 , 3.75)
(4 , 3)
(6 , 4.5)
(7 , 5.25)
(8 , 6)
(9 , 6.75)
(10 , 7.5)
(11 , 8.25)
(12 , 9)
Step-by-step explanation:
To find the other points we must put the given information into the slope-intercept form: [tex]y=mx+b[/tex] m = slope and b = y-intercept
[tex]y=\frac{3}{4} x+0[/tex] or [tex]y=\frac{3}{4} x[/tex]
Then just simply start inputting any numbers for x so you can solve for [tex]y=\frac{3}{4} x[/tex] to get the other points of the line.
Solve for : -3(x+8)=30
Answer: -18
Step-by-step explanation:
Distribute the -3 to the values inside the parentheses, (x and 8) which equals -3x-24.
Then, use inverse operations by adding 24 on both sides (it will cancel on the left) to get -3x=53
Then divide -3 on both sides to get x by itself
Answer:
-18
Step-by-step explanation:
-3(x+8)=30
by dividing 3 from both sides
-(x+8)=10
by multiplying -1 for both sides
(x+8)= -10
by subtracting 8 from both sides
x = -18
i’m need help !!!! thanksss
Answer:
x=77
Step-by-step explanation:A triangle is always 180 degreesin total so u would take 26 away from 180 witch is 154 then devide it as the angles that are left are corresponding angles. Then you dwvide 154 by 2 witch is 77. X=77
Beginning from a depth of 35 feet below the surface, a whale swims upward and jumps to a height of less than 17 feet above the surface. Use an inequality to model the possible change in the number of feet, r, of the whale's elevation.
Answer:
R=17
Step-by-step explanation:
R=17
It says the whale has swam upwards and jumps to a heigh less then 17 and it says model the possible change in the number of feet, (R)
Thus R=17 Will Be correct
The equation of a ellipse is given below.
Graph the ellipse find the center, vertices, foci, and equation of major axis.
(y+5)^2/9 + (x+5)^2/25 = 1
Therefore , the solution of the given problem of equation comes out to be Focii (-2,5 ± (2√5 x 1/√5) and vertex ( − 2,5 ± 2√√5).
Explain the equation.An equation is a mathematical representation of two identical variables, one on each side of a "equals" sign. Common difficulties can be solved using equations. We commonly seek pre algebra help to resolve problems in real life. Pre-algebra is the fundamental building block of mathematics.
Here,
[tex](x + 2)^{2}[/tex] / [tex]a^{2}[/tex] + [tex](y-5)^{2}[/tex] /[tex]b^{2}[/tex] -=1 is (h, k).
the ellipse's nucleus
The major axis is the larger of the two axes, which are 2a and 26.
(H, a, k) and (H, k, b) are the vertices. Vertices are those along the major axis in this case, and covertices are those along the minor axis.
[tex](x + 2)^{2}[/tex]/16 + [tex](y-5)^{2}[/tex] /20 =1
can be written as
[tex](x + 2)^{2}[/tex]/ [tex]4^{2}[/tex] + [tex](y-5)^{2}[/tex] /(2√/5)2
hence centre is (-2, 5), maor axis is 2 x 2√√5 = 4√√5 and minor axis
is 2 x 4 = 8
Vertices are ( 2,5 25), or ( 2,5 25) and ( 2,5 + 25), while covertices are ( 2 4, 5) and ( 6,5), respectively.
As a result of the presence of a vertical major axis, eccentricity e and focii are
(h, k ± be). e is given by the relation a2 = b2(1 − e2) i.e.
=> e = [tex]\sqrt{1 - \frac{a^{2} }{b^{2}} }[/tex]
a2= 16 and b2= 62
=> e = 1/√5
Focii (-2,5 ± (2√5 x 1/√5)
or (-2,5±2) i.e. (-2, 7) and (-2, 3).
Therefore , the solution of the given problem of equation comes out to be Focii (-2,5 ± (2√5 x 1/√5) and vertex ( − 2,5 ± 2√√5).
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pls find the angle HAF in the diagram
Answer:
∠HAF ≈ 64.90°
Step-by-step explanation:
You want the angle HAF, a base angle in the isosceles triangle formed by the face diagonals of the cuboid with dimensions 6 cm, 6 cm, and 8 cm.
Diagonal lengthsThe lengths of the diagonals can be found using the Pythagorean theorem:
HA² = HD² + DA²
HA² = 6² +6² = 2·6²
HA = 6√2 . . . cm
FA² = FB² +BA²
FA² = 6² +8² = 36 +64 = 100
FA = 10 . . . cm
Diagonal FH is the diagonal of a rectangle with the same dimensions as the rectangle whose diagonal is FA:
FH = FA = 10 . . . cm
Law of CosinesThe angle A can be found using the law of cosines:
FH² = FA² +HA² -2·FA·HA·cos(A)
A = arccos((FA² +HA² -FH²)/(2FA·HA))
A = arccos((100 +72 -100)/(2·10·6√2)) = arccos(72/(120√2))
A = arccos(0.3√2) ≈ 64.90°
Angle HAF is about 64.90°.