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3 years ago

9

The figure is made up of a semicircle and a triangle. Find the perimeter. Round your answer to the nearest hundredth. 25 ft 7 ft

24 ft The perimeter is about feet

1 answer:

Mashutka [201]3 years ago

8 0

120.27 or rounded to the nearest tenth is 120.3

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Y=4x(8-x). Linear or nonlinear? explain.

NemiM [27]

Answer:

not linear

Step-by-step explanation:

this equation becomes y = -4x² + 32x which is a quadratic equation that, when graphed, forms an upside down u-shaped curve (upside down because the x² term is negative; if it's positive then the curve is u-shaped)

4 0

3 years ago

Read 2 more answers

1. Bob’s age is twice that of his sister. When you add Bob's age to his sister's age, you get 24. How old is Bob and his sister?

zmey [24]

Answer:

8 and 16

Step-by-step explanation:

16 + 8 = 24

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3 years ago

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Danny's truck has a fuel tank with a capacity of 20 gallons of gas. The truck averages 17 miles per gallon of gas. The function

Fittoniya [83]

For this case we have the following function:

$M (g) = 17g$

Where,

g: number of gallons of gas

M (g): number of miles that Danny's truck travels

We know that the maximum capacity is 20 gallons of gas.

Therefore, the maximum distance the truck can travel is given by:

$M (20) = 17 (20)$

$M (20) = 340$

Thus, the domain of the function is:

$0 \leq g \leq 20$

The range of the function is:

$0 \leq M(g) \leq 340$

Answer:

A domain and range that are reasonable for the function are:

D. D: 0 ≤ g ≤ 20

R: 0 ≤ M (g) ≤ 340

5 0

3 years ago

The longer leg of a right triangle is 4cm longer than the shorter leg. the hypotenuse is 8cm longer than the shorter leg. find t

Alexeev081 [22]

Longer leg = x + 4

Shorter leg = x

Hypotenuse = x + 8

Using Pythagorean Theorem:

a^2 + b^2 = c^2

(x + 4)^2 + x^2 = (x + 8)^2

x^2 + 8x + 16 + x^2 = x^2 + 16x + 64

2x^2 + 8x + 16 = x^2 + 16x + 64

2x^2 +8x = x^2 + 16x + 48

2x^2 - 8x = x^2 + 48

x^2 - 8x = 48

x^2 - 8x - 48 = 0

You can complete the square from here or use the quadratic formula.

Completing the square:

x^2 - 8x = 48

x^2 - 8x + (-8/2)^2 = 48 + (-8/2)^2

x^2 - 8x + 16 = 48 + 16

(x - 4)(x - 4) = 64 or (x - 4)^2 = 64

x - 4 = +√64 OR x - 4 = -√64

x - 4 = +8 OR x - 4 = -8

x = 12 OR x = -4

However, you can't use negative 4 as a length because your length needs to be a positive.

So x will be 12.

Shorter leg: 12

Longer leg: 12 + 4

Hypotenuse: 12 + 8

8 0

3 years ago

Can someone please help me with this? I'll give brainliest :)

vlabodo [156]

The slope of y = 3x - 4 on the interval [2, 5] is 3 and the slope of y = 2x^2-4x - 2 on the interval [2, 5] is 10

<h3>How to determine the slope?</h3>

The interval is given as:

x = 2 to x = 5

The slope is calculated as:

$m = \frac{y_2 -y_1}{x_2-x_1}$

<u>16. y = 3x - 4</u>

Substitute 2 and 5 for x

y = 3*2 - 4 = 2

y = 3*5 - 4 = 11

So, we have:

$m = \frac{11 - 2}{5 - 2}$

$m = \frac{9}{3}$

Divide

m = 3

Hence, the slope of y = 3x - 4 on the interval [2, 5] is 3

<u>17. y = 2x^2-4x - 2</u>

Substitute 2 and 5 for x

y = 2 * 2^2 - 4 * 2 - 2 = -2

y = 2 * 5^2 - 4 * 5 - 2 = 28

So, we have:

$m = \frac{28 + 2}{5 - 2}$

$m = \frac{30}{3}$

Divide

m = 10

Hence, the slope of y = 2x^2-4x - 2 on the interval [2, 5] is 10

Read more about slopes at:

brainly.com/question/3605446

#SPJ1

3 0

2 years ago