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2 years ago

Please help me with this.

Mathematics

1 answer:

JulijaS [17]2 years ago

3 0

The <em>speed</em> intervals such that the mileage of the vehicle described is 20 miles per gallon or less are: v ∈ [10 mi/h, 20 mi/h] ∪ [50 mi/h, 75 mi/h]

<h3>How to determine the range of speed associate to desired gas mileages</h3>

In this question we have a <em>quadratic</em> function of the <em>gas</em> mileage (g), in miles per gallon, in terms of the <em>vehicle</em> speed (v), in miles per hour. Based on the information given in the statement we must solve for v the following <em>quadratic</em> function:

g = 10 + 0.7 · v - 0.01 · v² (1)

An effective approach consists in using a <em>graphing</em> tool, in which a <em>horizontal</em> line (g = 20) is applied on the <em>maximum desired</em> mileage such that we can determine the <em>speed</em> intervals. The <em>speed</em> intervals such that the mileage of the vehicle is 20 miles per gallon or less are: v ∈ [10 mi/h, 20 mi/h] ∪ [50 mi/h, 75 mi/h].

To learn more on quadratic functions: brainly.com/question/5975436

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PICTURE ABOVE <br> find perimeter in inches <br> PLEASE HELP !!!

Vsevolod [243]

Answer:

C. 52

Step-by-step explanation:

First, find the base of the triangle. You can do this by looking at the top of the figure. 14 inches is the width of the rectangle, and 20 inches is the width of the rectangle and the base of the triangle. You can find the base of the triangle by subtracting.

$20-14=6$

The base of the triangle is 6. The height of the triangle is equal to the height of the rectangle, 8. Now you need to find the hypotenuse of the triangle using the Pythagorean theorem:

$a^2+b^2=c^2$

c is the hypotenuse. Find c:

$6^2+8^2=c^2\\36+64=100\\\\\sqrt{c^2}= \sqrt{100}\\c=10$

The hypotenuse of the triangle is 10. Now that you know the hypotenuse, you can find the perimeter. Add all the sides:

$10+20+8+14\\30+8+14\\38+14\\52$

The perimeter is 52 inches.

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4 years ago

Elijah drives 9 miles to his friends house in 1/6 hour. How fast does Elijah drive, in miles per hour? If he drives at this rate

katrin [286]

Answer:

He drives at 54 mph. He will get 108 miles if he drives at that rate for 2 hours.

Step-by-step explanation:

9 miles in 1/6 of an hour

9x6=driving speed of 54mph

54x2 is 108 miles

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4 years ago

Jaime’s parents have told him he needs to pay his credit card bills on time to establish good credit How will good credit help h

iVinArrow [24]

Answer:

The answer is C

Step-by-step explanation:

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3 years ago

.The area of a square is 900 square inches. What is the perimeter?

Irina-Kira [14]

Answer:

area=s²

$\sqrt{900$ =30

side=30

perimeter=side*4

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<h2>D.120inches</h2>

Step-by-step explanation:

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3 years ago

Segment addition with variables

oksian1 [2.3K]

<em>x equals 22</em>

<h2>Explanation:</h2>

____________________________________________

The Segment Postulate states the following:

<em>Given two end points A and B, a third point C lines on the segment AB if and only if the distances between the points satisfy the equation:</em>

$\overline{AB}=\overline{AC}+\overline{CB}$

____________________________________________

From the figure:

$\overline{AC}=8+x \\ \\ \overline{CB}=10 \\ \\ \overline{AB}=40$

Our goal is to find x:

$\overline{AB}=\overline{AC}+\overline{CB} \\ \\ Substituting \ values: \\ \\ 40=(8+x)+10 \\ \\ 18+x=40 \\ \\ Subtracting \ 18 \ from \ both \ sides: \\ \\ 18-18+x=40-18 \\ \\ \boxed{x=22}$

<h2>Learn more:</h2>

Dilation: brainly.com/question/2501119

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3 years ago