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2 years ago

A car travels 120 miles in 3 hours. What is the constant speed of the car in miles per hour?

Mathematics

2 answers:

irinina [24]2 years ago

6 0

Answer: 40

Step-by-step explanation: if you divided 120 by 3 you will get 40 miles per hour

elena55 [62]2 years ago

6 0

Answer: the car travels 40 miles per hour

Step-by-step explanation: First you have to set the ratio up as 120 miles over 3 hours. After you do that you need to divide 120 by 3 which will give you for which gives you 40 miles per hours

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Which of these four sets of side lengths will form a right triangle? Set 1 4 cm, 5 cm, 6 cm Set 2 8 in., 12 in., 20 in. Set 3 10

Alenkasestr [34]

Answer: The correct option is (D) SET 4.

Step-by-step explanation: We are to select the correct set of side lengths that will form a right-angled triangle.

To form a right-angled triangle, we must have the following relation:

Perpendicular² + Base² = Hypotenuse².

Hypotenuse is the length of the largest side; perpendicular and base are the two legs of the triangle.

SET 1 : 14 cm, 5 cm, 6 cm.

We have

$5^2+6^2=25+36=61,\\\\14^2=196.$

Therefore,

Perpendicular² + Base² ≠ Hypotenuse².

So, this set will not form a right-angled triangle.

SET 2 : 8 in., 12 in., 20 in.

We have

$8^2+12^2=64+144=208,\\\\20^2=400.$

Therefore,

Perpendicular² + Base² ≠ Hypotenuse².

So, this set will not form a right-angled triangle.

SET 3 : 10 mm, 20 mm, 30 mm.

We have

$10^2+20^2=100+400=500,\\\\30^2=900.$

Therefore,

Perpendicular² + Base² ≠ Hypotenuse².

So, this set will not form a right-angled triangle.

SET 4 : 12 ft, 16 ft, 20 ft.

We have

$12^2+16^2=144+256=400,\\\\20^2=400.$

Therefore,

Perpendicular² + Base² = Hypotenuse².

So, this set will form a right-angled triangle.

Thus, the SET 4 will form a right-angles triangle.

Option (D) is correct.

5 0

3 years ago

Read 2 more answers

The diagram shows one side of a storage barn.

EastWind [94]

Answer to A and B.

The area of rectangle: 22.8×14.5=330.6 ft²The area of rectangle: 22.8×14.5=330.6 ft²

The area of triangle: 12⋅12⋅22.8=136.8 ft²The area of triangle: 12·12·22.8=136.8 ft²

The total area of figure: 330.6+136.8=467.4 ft²The total area of figure: 330.6+136.8=467.4 ft²

B: In order to find how many gallons of paint are needed, we need to divide the total area that needs to be painted (467.4 square ft) by the area one gallon covers (350 square ft)

467.4 ÷ 350 ≈ 1.34 gallons

Since only whole gallons of paint can be purchased, you will need 2 gallons of paint.

At $20 each, the cost will be 2 x $20 or $40.

5 0

2 years ago

A teacher randomly selects three students each month from a class of 30 students to be the students of the month. Each student r

Lunna [17]

Answer:

10 groups

Step-by-step explanation:

because 30 divided by 3 is 10

4 0

3 years ago

The height of mount everest, in meters, can be found by multiplying 8.85 by 1,000. Find the height of mount everest. Can u expla

max2010maxim [7]

For this case we have that the height is given by the following product:

$h = (8.85) * (1000)$

When we multiply a number by multiples of 10, what we must do is move the decimal to the right as many spaces as the number of zeros that has the multiple number of 10.

We note that 1000 has three zeros. Therefore, we must move the decimal three spaces to the right.

We have then:

$h = 8850 m$

Answer:

the height of mount everest, in meters, is:

$h = 8850 m$

4 0

2 years ago

Write the equation in slope-intercept form of a line that has a slope of and passes through the point (-6, 0). 3. 1 = -2 3. 1 =

Alexus [3.1K]

$(\stackrel{x_1}{-6}~,~\stackrel{y_1}{0})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{\cfrac{1}{3}}(x-\stackrel{x_1}{(-6)}) \\\\\\ y=\cfrac{1}{3}(x+6)\implies y=\cfrac{1}{3}x+2$

3 0

1 year ago