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3 years ago

Find the area of the composite figure. Please help me

Mathematics

1 answer:

denis-greek [22]3 years ago

7 0

Answer:

51.5 ft^2

Step-by-step explanation:

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Subtract 10x - 7 from 2x – 6.

hichkok12 [17]

(2x - 6) - (10x - 7) # Starting expression

-8x - 1 # Combine like terms

Final answer:

-8x - 1

Hope this helps!

8 0

3 years ago

Read 2 more answers

a point on the rim of a wheel moves with a velocity of 80 feet per second. What is the angular velocity of the point if the diam

valentina_108 [34]

The angular velocity is 16 radians per second

Solution:

The angular velocity of point is given by formula:

$w = \frac{v}{r}$

Where,

w is the angular velocity in radians

v is the linear velocity

r is the radius

Given that diameter of wheel is 10 feet

$radius=\frac{diameter}{2}$

$radius = \frac{10}{2}=5$

Thus radius is 5 feet

A point on the rim of a wheel moves with a velocity of 80 feet per second

Linear velocity = v = 80 feet per second

Therefore, angular velocity is given as:

$w = \frac{80}{5} = 16$

Thus angular velocity is 16 radians per second

6 0

3 years ago

A number consists of two digits. The number is 2 more than 8 times the sum of the digits, and if 54 is subtracted from the numbe

Gennadij [26K]

Let the units digit = x

Let the 10s digit = y

Equations

10y + x - 2 = 8 * (x + y) (1)

10y + x - 54 = 10x + y (2)

Equation 1

10y + x - 2 = 8 * (x + y) Remove the brackets on the right

10y + x - 2 = 8x + 8y Subtract 8y from both sides

10y - 8y + x - 2 = 8x Subtract 8x from both sides

2y + x - 8x - 2 = 0 Combine

2y - 7x - 2 = 0 (3)

Equation 2

10y + x - 54 = 10x + y Subtract 10x

10y - 9x - 54 = y Subtract y from both sides.

9y - 9x - 54 = 0 Divide by 9

y - x - 6 = 0 Multiply by 2

2y - 2x - 12 = 0 (4)

Solution

Subtract (3) - (4)

2y - 7x - 2 = 0

2y - 2x - 12 = 0

- 5x + 10 = 0 Subtract 10 from both sides.

- 5x = - 10 Divide by - 5

x = 2

Use (4) to find y

2y - 2x - 12 = 0 Let x =2

2y - 2(2) - 12 = 0 Remove the brackets

2y - 4 - 12 = 0 Combine

2y - 16 = 0 Add 16 to both sides.

2y = 16 Divide by 2

y = 8

Answer 82

I'll leave the check to you, but the answer of 82 is correct.

4 0

3 years ago

mark is drawing a map of his favorite park. the park is 3 miles long and 1.5 miles wide. the map scale is 1 inch = .25 miles. ho

Brilliant_brown [7]

Answer: 6 inches

Step-by-step explanation:

1.5 miles wide * 1 inch / 0.25 miles = 6 inches :D

7 0

2 years ago

Read 2 more answers

Can anybody help me on this 16 16π 16π - 16 16 - 16π are the answer choices

kvasek [131]

The answer is 16 pi - 16. The area of each triangle is 8, so both triangles are 16. The area of the circle is pi times the radius squared, 16 pi.

3 0

3 years ago

Read 2 more answers