Mathematics High School

Find the area of the shape below:

NOTE: The figure is NOT drawn to scale

Answers

Answer 1

Answer:

Find the rectangle's area on the left hand side, using the formula:

A = l x w

Where 'l' represents the length and 'w' stands for the width.

Plug in what you know:-

A = l x w

A = 15 x 5

A = 75 square units is the area of the left rectangle.

Now let's find the rectangle's area on the right hand side, using the formula:

A = l x w

Where 'l' represents the length and 'w' stands for the width.

A = l x w

A = 15 x 4

A = 60 square units is the area of the right rectangle.

Now find the middle small horizontal rectangle's area, using the formula:

A = l x w

Where 'l' represents the length and 'w' stands for the width.

But, let's figure out the length first.

We know that from the left rectangle, the two side lengths beside the unknown length of the middle rectangle area 5 and 7.

The unknown length plus those two lengths (5&7) will have to equal 15 since that is the total length, so;

15 - (5 + 7) = x

15 - 12 = x

3 = x, so the unknown length of the middle rectangle is 3.

Plug in what you know into the formula:

A = l x w

A = 3 x 7

A = 21 square units is the area of the middle rectangle.
Now add up all the areas together:

75 + 60 + 21

= 156 square units is the area of the shape.

Related Questions

A series contains 18 numbers and has a sum of 4,185. the last number of the series is 275. what is the first number? 42.5 190.0 465.0 740.0

Answers

The first term of the series if the series contains 18 numbers and has a sum of 4,185 is 190

Sequence and series

Series are sum of sequences

The formula for calculating the last term of a sequence is expressed as:

Sn = n/2(a+l)

Given the following

Sn = 4185

n = 18

l = 275

Required

first term "a"

Substitute

4185 = 18/2(a + 275)

4185 = 9(a + 275)

465 = a+ 275
a = 465 - 275
a = 190

Hence the first term of the series if the series contains 18 numbers and has a sum of 4,185 is 190

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Mr.Portillo says that he can solve 32 divided by 8 by thinking about 8 x ? =32. Why is this true?

Answers

Answer:

this is true because he knows that 8 times 4 is 32 then he will automatically know that 8 divided by 32 will be 4 since 8 was a factor.

Step-by-step explanation:

I suck at explaining stuff but yeah this is true bc two factors of a number divided by it will always be the other factor yk

Please help! Will mark brainlyest. :)

Answers

Answer:

Step-by-step explanation:

base times hight times times 1/2

24X4X1/2

Answer: choice 4: 48

Step-by-step explanation:

to get the area of a triangle, you multiply the width times the height divided in half. So you get:

1. 24*4= 96

2. 96/2= 48

This table represents a quadratic function with a vertex at (1,2). What is the
average rate of change for the interval from x = 5 to x = 6?
х
у
1
2
2
3
3
6
4
4
11
תס
5
18
O A. 27
OB. 9
O C. 18
O D. 3

Answers

Answer:

9 -- B

Step-by-step explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

The average rate of change for the interval from x = 5 to x = 6 is - 22.

What is quadratic function?

A quadratic polynomial in mathematics is a polynomial of degree two in one or more variables. The polynomial function defined by a quadratic polynomial is known as a quadratic function.

Since, the quadratic function has a vertex at (1, 2),

Hence, the equation for the function can be written in vertex form as:

⇒ y = a(x - 1)² + 2

Where "a" is a constant that determines the shape of the parabola. To find the value of "a", we can use one of the other points on the parabola.

Let's use the point (2, 1):

1 = a(2 - 1)² + 3

1 = a + 3

a = - 2

So, the equation for the quadratic function is:

y = -2x² + 2

Now we can use this equation to find the average rate of change between x = 5 and x = 6. The value of the function at x = 5 is:

y = - 2 x 25 + 2 = - 48

The value of the function at x = 6 is:

y = -2 x 36 + 2 = - 70

The average rate of change between x = 5 and x = 6 is:

(y₂ - y₁) / (x₂ - x₁) = (- 70 - (-48)) / (6 - 1) = - 22

Therefore, the average rate of change for the interval from x = 5 to x = 6 is - 22

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1. Which of the following shows the value of (4.3 x 10-7)(1.5 x 10-3) in scientific notation? a. 6.45 x 10-10 b. 64.5 x 10-9 C. 0.645 x 10-11 d. 645 x 10-8

Answers

The product of the expression in scientific notation is expressed as 6.45 * 10^-9

Scientific notations

The standard scientific notation is expressed as:

A * 10^n

A is any value between 1 and 10

n is any integer

Given the product

(4.3 x 10-7)(1.5 x 10-3)

= (4.3 * 1.5)(10^-7 * 10^-3)
= 64.5 * 10^-10
= 6.45 * 10^-9

Hence the product of the expression in scientific notation is expressed as 6.45 * 10^-9

Learn more on scientific notation here: https://brainly.com/question/5756316

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Given the figure below, find the value of x and z.

Answers

Answer:

x=10, z=106

Step-by-step explanation:

vertical angles: 10x-26=74

10x=100

x=10

supplementary angles: 74+z=180

z=106

x=10
z=106
EXPLAINED:
To get x you would need to set the equation like this (10x-26)=74 (since 74 and the equation with the variable are parallel), then solve normally for x.

To get z you would have to know that the straight line through it equals 180 degrees so you would simply subtract 74 for 180 and there you have it you have the value of z.

Hope this helps!!

factor the polynomial

x^2y + x

Answers

Answer:

x(xy + 1)

Step-by-step explanation:

The two terms have the common factor x.

x²y + x = x(xy + 1)

Please help this is due in 10 minutes!!!

Answers

Answer:

3053.63 un³

Step-by-step explanation:

Hello!

The diameter is 18, so the radius is half of the diameter, or 9.

Using the volume of a sphere formula: [tex]\frac43\pi r^3[/tex]

Solve:

[tex]\frac43\pi r^3[/tex][tex]\frac43\pi *9^3[/tex][tex]\frac43*729\pi[/tex][tex]972\pi[/tex]3,053.6280592893 ≈ 3,053.63

The volume is 3053.63 un³.

The number of stamps in a stamp collection can be modeled by the function y = 2x² + 13x + 45, where is the number of years since the collection was started and y is the number of stamps. After how many years did the stamp collection have 195 stamps?

Answers

Answer:

X=8 years, option F

Step-by-step explanation:

Answer

6 years

Step-by-step explanation:

The answer is 6 years

2x2-11x/2-1+y/z
if x = 3, y = 7, and z = 2?

Answers

Answer:

Step-by-step explanation:

subsitute the value of the variable into the expression and simplify.

Learn with an example
A car rental agency has 4 vehicles available, of which 2 are coupes.
What is the probability that a randomly selected vehicle will be a coupe?
Simplify your answer and write it as a fraction or whole number.
P(coupe)
=
Submit

Answers

Answer:

50% or 1/2

Step-by-step explanation:

There are four cars total and of which two are coupes, so the fraction would be 2/4 and simplified would be 1/2.

Which equation of a line is parallel to y=4/5x-1?
a. y=4/5x+2
b. y= -5/4x-1
c. y= -4/5x+3
d. y=5/4x-6

Answers

Answer:

Step-by-step explanation:

you need to have same kx for lines to be parallel.

y=kx+l

l is where the line is going through ordinate and it doesn't matter, but the kx has to be the same

Will give brainlist
Identify the multiplication problem that matches the model.

4 x 3/4

4 x 1/3

4 x 3

3 x 3/4

Answers

4 x 3/4 Sure hope this helps you

make x the subject from m=n+x/p

Answers

Answer:

x = p(m - n)

Step-by-step explanation:

Solve m=n+x/p for x. Start by eliminating the fraction: Multiply all three terms by p. Then we have mp = np + x, which is the same as x = mp - np, or

x = p(m - n)

help pls !!!!! will mark brainliest

Answers

Answer

The first option would be your answer.The probability would be 1/16 or 0.0625 or 0.063

Step-by-step explanation:

simplify each expression 3(m-5)+m

Answers

When you have a product of a single term and a binomial, you have to multiply it in to both terms.

3(m-5) + m

3m - 15 + m

4m - 15

Find (f•g) (x) if f(x)=3x^2 and g(x)=5-x

Answers

Answer:

f(g(x))=3x^2-30x+75

Step-by-step explanation:

We want to find the value of f(x) when x is equal to g(x)

So we can substitute the value of g(x) into the f(x) equation

f(g(x))= 3(5-x)^2

f(g(x))= 3(25-10x+x^2)

f(g(x))=3x^2-30x+75

Completely simplified version: 3(x-5)^2

A student will ask his classmates one survey question. Which of the following is a statistical question that should result in varied responses?
A.
What is the length of a yardstick in inches?
B.
What is the total number of inches in 3 feet?
C.
What is the total number of cups in 1 gallon?
D.
What is the number of gallons of water in a pool?

Answers

Answer:

D) What is the number of gallons of water in a pool?

Step-by-step explanation:

A statistical question consists of varied responses and not just 1 specific answer. For example, the first 3 questions only have 1 specific answer each, while the last question can vary depending on the size of the pool.

D. what is the number of gallons of water in pool

[tex]\sf what's\: the \:answer\:?[/tex]
[tex]4x+3(x-1)=67[/tex]

Answers

Answer:

x = 10

Explanation:

4(x) + 3(x-1) = 67

apply distributive method

4(x) + 3(x) -3(1) = 67

simplify

7(x) - 3 = 67

change side

7(x) = 67 + 3

simplify

7(x) = 70

divide both sides by 7

x = 10

area of a regular polygon with a radius of 4

Answers

A = (n × s × a)2 A = ( n × s × a ) 2 , where n is the number of sides, s is the length of one side, and a is the apothe

What is the value of the expression below?
( - 4/9 ) x (4 1/3 )

Answers

Answer:

[tex]-\frac{52}{27}[/tex]

Step-by-step explanation:

Let's first convert everything to improper fractions as it becomes easier to compute with.

[tex]4 \frac{1}{3} = \frac{4*3+1}{3} =\frac{13}{3}[/tex]

Now we can put that back into the expression:

[tex]-\frac{4}{9} * \frac{13}{3}[/tex]

Nothing cancels out so the answer we get is:

[tex]-\frac{52}{27}[/tex]

I will give Brainlyist to the first person who replies and gets most of the answers correct.

Answers

31) 12
32) integers ??
33) 3/5
34) 6.5 ???
35) 3,000,000
36) 8
37) 15
38) 1

The radius of a semicircle is 1 meter. What is the semicircle's perimeter?

Answers

Answer:

5.1416

Step-by-step explanation:

L = πr + d = 1 * π + 2 [meter] ≈ 5.1416 [meter]

Bruno will spin the arrow on the spinner 2 times. what is the probability that the arrow will stop on c at least once? 19 29 13 59

Answers

The probability that the spinner will land on c at least once is 5/9

How to determine the probability?

From the complete question, the probability that the spinner will not land on c when spun twice is:

P = 4/9

Using the complement rule, the probability that the spinner will land on c at least once is:

P' = 1 - P

This gives

P' = 1 - 4/9

Evaluate

P' = 5/9

Hence, the probability that the spinner will land on c at least once is 5/9

Answers

Answer: 2584

Step-by-step explanation: Length × height × width

A hot air balloom travels 18 miles in 3 hours. At this rate how many miles will the hot air balloon travel in 3/4 hour?

Answers

Answer:

4.5

Step-by-step explanation:

Find the amount of miles in 1 hour. 18/3=6

Now multiply 1.5x3=4.5

3/4=75

This is how i got 4.5 miles

A box shaped like a rectangular prism has a height of 9 inches, a width of 5 inches, and a volume of 315 cubic inches. What is the length?

Answers

Answer:

7 in

Step-by-step explanation:

L * W * H = volume

L * 5 * 9 = 315

L = 315 / (5*9) = 7 in

Which constant term would mean that the expression is completely factored? x2 – 3x

Answers

factor x2−3x−10x2−3x−10=(x+2)(x−5) Answer: (x+2)(x−5)

have a nice day !!!

Answer:

answer is 10

Step-by-step explanation:

Look at the image below.
11
10
6
Find the area of the parallelogram,
square units

Answers

Answer:

Step-by-step explanation:

im so smart. its on khan academy.

Fatima is solving the equation 3x² - 6x +2=0 with the quadratic formula.
Which values could she use for a, b, and c?
O a = 3, b = -6, c = 2
O a = 3, b = -6, c = -2
O a = -3, b = 6, c = -2
O a = 3, b = 6, c = 2

Answers

Answer:

[tex]a=3,~ b = -6,~ c=2[/tex]

Step-by-step explanation:

[tex]\text{Compare}~ 3x^2 -6x +2 =0 ~\text{with the standard form of quadratic equation,}\\\\ax^2 +bx +c =0[/tex]

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Find the area of the shape below: NOTE: The figure is NOT drawn to scale

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Find the area of the shape below:

NOTE: The figure is NOT drawn to scale