Solution:
Step-1: Find the area of the rectangle.
Area of rectangle = L × BL = 5/8 foot; B = 4/9 foot
=> Area of rectangle = 5/8 × 4/9=> Area of rectangle = 20/72 = 10/36 foot²Step-2: Verify all the options.
Option A => 1 ft² => 36/36 ft² Option B => 4/9 ft² => 16/36 ft² Option C => 1/4 ft² => 9/36 ft²Option D => 0 ft² => 0/36 ft²Looking at all the options, we can see that Option C (1/4 ft²) is the best estimate of the area we obtained as 10/36 and 9/36 are really close fractions.
Thus, Option C is correct.
On a piece of paper, use a protractor to construct a triangle with angle measures of 100° and 30°.
Which statements about this triangle are true?
Select all correct answers.
The third angle measures 50°
The third angle measures 90°
The third angle measures 130°
All sides have different lengths.
Two sides have the same length,
The third angle measures 50° and all sides have different lengths.
What is a triangle?A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, equilateral, scalene and right angled.
The sum of angles in a triangle is 180 degrees.
A triangle with angle measures of 100° and 30°, let x represent the third angle, hence:
x + 100 + 30 = 180° (sum of angles in a triangle)
x = 50°
Also, all sides have different lengths since all the angles are different.
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Answer:
The third angle measures 50°.
The third angle measures 50°.
I need Help plz !? I don’t understand
4x-40+104 = 180
4x+144 = 180
subtract 144 from both sides
4x = 36
divide both sides by 4
x = 9
Below is a diagram of a rabbit tunnel in the shape of a triangular prism.
What is the volume of the tunnel?
Answer: 412.5cm cubed
Step-by-step explanation:
Volume of a prism: area of base ( in this case it’s the triangle) times the height
First: half x 90 x 120 = 165
Then times the height
So, 164 x 2.5 = 412.5
The volume of the given pyramid will be 1.35m³.
What is a pyramid?
Design or construction with a base that is a polygon and sides that are three or more triangles that come together at the top.
A pyramid is a 3D shape where 3 triangle comes and meet in such a way that the base side creates a triangle.
The volume of a pyramid is given by
Volume = (1/3)base²×height.
Volume = area of cross-section × length
Given,
Area of cross-section = area of the base (triangle)
Since the area of the triangle = (1/2)base×height
So,
Area of cross-section = (1/2)1.20×0.90 = 0.54 m²
So,
Volume of pyramid = 0.54 × 2.5 = 1.35 m³.
Hence " The volume of the given pyramid will be 1.35m³".
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Tia wrote a perfect square trinomial on the board, but a value is missing. Which of the following statements must be true?
Answer:
c
Step-by-step explanation:
i think it's C cause it shows you the 4×
The missing value in the given perfect square trinomial is 20. (option 2)
What is a perfect square trinomial?A perfect square trinomial is a trinomial that can be written as the square of a binomial.
Given that, Tia wrote a perfect square trinomial on the board, but a value is missing.
The trinomial is =
4x²+?+25
When comparing with (a+b)² = a²+b²+2ab
We get,
a² = 4x²
a = 2x
b² = 25
b = 5
We are asked to find, 2ab,
Therefore,
2ab = 2×2x×5
= 20x
Hence, the missing value in the given perfect square trinomial is 20.
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Ahmad is choosing a password to access his teacher’s web page. He must choose a capital letter and three non-repeating digits from 0 through 9. The letter can be in any position in the password. Which shows part of the sample space for Ahmad’s password?
Answer:
its a or the A135 one
Step-by-step explanation:
because the last 2 have a lower case or no letter and the second one is wrong for no reason so it has to be a or the 135
Answer:
A!!!!!!!!!!!!!!!!!
Step-by-step explanation:
What is the area of the rectangle in square units? Explain how you found your answer.
Answer:
...........
Step-by-step explanation:
Write the equation of the line that goes through (-2,4) and (2,8)
The probability of two candidates A and B passing an exam are 2/3 and 3/4 respectively find the probability only one will pass at least one will pass
Answer:
[tex]\rainbow{\rule{10000pt}{900000pt}}[/tex]
Given m|n, find the value of x.
+
(6x+5)°
(7x-4)
Answer: 9
Step-by-step explanation:
6x+5 = 7x-4 [alternate exterior angles theorem]5 = x - 4 [subtract 6x from both sides]9 = x [add 4 to both sides]7. What is the precision of the measurement 4 quarts?
0.1 quarts
4 quarts
O 1 quart
O 10 quarts
A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y). The results of the regression were: y=ax+b a=-0.761 b=20.501 r^2=0.643204 r=0.802 Use this to predict the number of situps a person who watches 2 hours of TV can do ( to one decimal place )
Answer:
The number of situps is approximately 19
Step-by-step explanation:
Regression Line
A regression line is a line that best fits any given dataset in terms of having the smallest overall distance from the line to the points.
Regression lines are useful to forecast the behavior of the dependent variable.
We are given the statistics related to determining if there is a relationship between hours of TV watched per day (x) and the number of situps a person can do (y).
The line is given as follows:
y=-0.761x+20.501
The rest of the parameters can only be used as a reference to evaluate how good the line approaches the dataset.
Now use the line to predict the number of situps a person who watches x=2 hours of TV can do:
y=-0.761*2+20.501
y=19
The number of situps is approximately 19
Topic 7
Performance Task
Grade
Can Tabs Collected
6th
19 13
pounds
16
171
pounds
7th
8
8th
1
12- pounds
2
32 pounds
189 pounds
23 pounds
14 pounds
Pls help need asap!!
Answer:
12 1/4 or 49/4
Step-by-step explanation:
3 1/2= 7/2 so 7/2×7/2=49/4= 12 1/4
Zach throws a ball upward so that it follows the equation
y= 16x^2 + 64 +5 where y is the height of the ball and x is time.
How many seconds will it take for the ball to hit the ground?
Hey there!
=> y= 16x^2 + 64 +5
Let's obtain a formula for x
=> y= 16x^2 + 64 +5
=> y=16x^2+69
=> y - 69 = 16x^2
=> y - 69/16 = x^2
=> y - 4.3125 = x^2
=> x = √y - 4.3125
=> x = y - 2.08
Question error ಠ︵ಠ
Mandy is trying to subtract 9 - 10, and she has asked you for help. How would you explain the process of solving the problem to Mandy, using an number line?
The initial number of carbon-14 atoms in the organism at death is
.
After 11,460 years, there will be
carbon-14 atoms in the organism.
After
years, there will be 24.298 carbon-14 atoms in the organism.
Answer:
5,730 years.
Step-11by-step explanation:
Answer:
The death is 500, there will be 125 carbon-14 atoms, and after 25,000 years.
Step-by-step explanation: I just did it in math edg. HAVE A GREAT DAY!!
select the digit in the thousands place for 689,234
Answer:
The answer is 9
Step-by-step explanation:
600,000, 50,000, 9,000, 200, 30, 4
Answer:
The remaining number in thousands units is 9
---
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I hope help you :)
Kind regards, Antonio.
Which of the binomials below is a factor of this trinomial?
x^2 + 14x + 40
A. x + 4
B. x^2 + 4
C. x + 10
D. x - 9
Answer:
A , C
Step-by-step explanation:
x² + 14x + 40 = ( x + 4 )( x + 10 )
main formula: x² + ( a + b )x + ab = ( x + a )( x + b )
If mR = 2x2 - 7°, mS = 4x2 - 6x + 40°, and mT = 18x + 3°, what is mR?
A.
11°
B.
43°
C.
25°
D.
65°
Answer:
its C
Step-by-step explanation:
Pyramid A with height 8 has lateral edges of length 10. Pyramid B with height 12 has lateral edges of 15. Both A and B are regular square pyramids. What is the ratio of the heights of the pyramid?
Answer:
8:12
Step-by-step explanation:
The heights of both the pyramids are stated in the question so...
Pyramid A height: 8
Pyramid B height: 12
The ratio is (pyramid A : pyramid B) so our final answer should be...
8:12
I need help quickly please
Answer:
Step-by-step explanation:
Nikke has a set of 5 cards numbered 1 through 5. She shuffles the cards at random she repeats the process several times and records the results in the table below based on her results what is the experimental probability of choosing a 1?
Answer:
20%
Step-by-step explanation:
Divide the product of 5/7 and -13/25 by the sum of 4/15 and -7/50.
Step-by-step explanation:
From the question above one can put down an expression as;
(5/7 × -13/25) ÷ (4/15 + (-7/50))
-13/35 ÷ 19/150
-13/35 × 150/19
-390/133
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You have a credit card that has a balance of $3850 at an APR of 13.99%. You plan to pay $300 each month in an effort to clear the debt quickly. How many months will it take you to pay off the balance?
Answer:
about 14 months
Step-by-step explanation:
Questions regarding loan payments, values, interest amounts, number of payments, and so on, are conveniently answered by the financial formulas available in many apps, calculators, and spreadsheets. Here, we want to solve for the number of payments.
__
The time-value-of-money app on a TI-84 calculator tells us the number of monthly payments is 13.98. It will take about 14 months to pay off the credit card balance.
__
Alternate solutions
You can also use a graphing calculator to find the time value needed in the amortization formula that corresponds to a monthly payment amount of $300 on a loan of $3850 at 13.99% interest compounded 12 times per year. This is shown in the second attachment.
The algebraic solution is a little messy, and involves logarithms, but you can solve it that way, too.
A = P(r/n)/(1 -(1 +r/n)^(-nt))
gives the monthly payment A on a loan of principal P at annual rate r compounded n times per year for t years. We want to find the value of nt for P=3850, A=300, r=0.1399, n=12.
Putting in the numbers, we get ...
300 = 3850(0.1399/12)/(1 -(1 +0.1399/12)^(-nt))
(1.011658333...)^(-nt) = 0.8503847222... . . . . isolate nt term
nt = -log(0.8503857222...)/log(1.011658333...) ≈ 13.982213...
2. Solve for X. SHOW YOUR WORK.
(7x - 25)°
(4x + 2)°
Answer:
the answer is 9,
Step-by-step explanation:
i looked it up and passed my test with a 100
Between what two ten thousand 105,159 is between
Answer:
110,000
Step-by-step explanation:
Which number below is a prime number?
a
O A. 76
B. 79
C. 100
D. 66
Answer:
79
Step-by-step explanation:
↓ Define Prime number ↓
Prime number ⇒ A positive integer that has no positive integer divisors other than 1 and itself. To prove whether a number is a prime number, first try dividing it by 2, and see if you get a whole number.
Solve:
76 is not a prime number. The number 76 is divisible by 1, 2, 4, 19, 38, 76.
79 is a prime number. The number 79 is divisible only by 1 and the number itself.
100 is not a prime number. The number 100 is divisible by 1, 2, 4, 5, 10, 20, 25, 50, 100.
66 is not a prime number. The number 66 is divisible by 1, 2, 3, 6, 11, 22, 33, 66.
Hence 79 is a prime number
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Plss help mee
you need to show your work
At the school's fall bake sale, all of the pies were cut into 6 pieces, so each person who bought a piece bought 1/6 of a pie. Each slice of pie sold for $1.00. How much money did the school make if all eleven pies were sold? (In other words, find 11 divided by 1/6 .)
Answer:
$66
explanation:
1/6 of a pie costs $1
11 divided 1/6
11 ÷ 1/6
11 * 6
$66
The school earned total: $66
Answer:
2 ⅓
Step-by-step explanation:
division is the same as a fraction
the dividend is the numerator and the divisor is the denominator
7÷3 is the same as 7/3
change 7/3 into a mixed number which is 2 ⅓