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3 years ago

The line graph shows the miles per gallon for a car.

Mathematics

1 answer:

Vikentia [17]3 years ago

6 0

The unit rate of gas usage is 35 miles per gallon.

Step-by-step explanation:

"Unit rate" refers to the number of miles for 1 gallon.

From the graph given,

it can be determined that, the car goes 2 miles for 70 gallons and 3 miles for 105 gallons.

To find miles per gallon, use rate formula

Rate= Given miles/ Given gallons= 2/70

Unit Rate= miles/ 1 gallon= X/1

where "X" term refers to number of miles per gallon.

By Comparing the rates we get,

2/70 =X/1

X=35 miles per gallon

Similarly,

3/105 =X/1

X=35 miles per gallon

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The point (16, 12) lies on the terminal side of an angle. find cos, tan, and sin

frez [133]

The terminal side means that it's 16 to the right and 12 up. Which means that the triangle made from this has the sides of 16 and 12 and the hypotenuse is 20 units long. Theta, in this case, would have 16 as it's adjacent and 12 as it's opposite.
Therefore, using the Pythagorean identities:
 $sin(\theta) = \frac{12}{20} = \boxed{\frac{3}{5}} \\\ cos(\theta) = \frac{16}{20} = \boxed{\frac{4}{5}} \\\ tan(\theta) = \frac{12}{16} = \boxed{\frac{3}{4}}$

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3 years ago

Hellllp please

Aneli [31]

Answer:

y = 5/8x - 3

Step-by-step explanation:

(8,2) and (-8,-8)

m=(y2-y1)/(x2-x1)

m = ( -8 -2)/ (-8 - 8)

m = (-10)/(-16)

m = 5/8

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3 years ago

A circle has an area of 30 in^2. What is the area of a 60 sector of this circle?

yuradex [85]

We use the ratio x:360 to find portions of the circle (again, through the ratio)

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1/6 = x/ 30

x = 5.

The answer is 5 in^2

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3 years ago

How do you find a percent of another number

Pepsi [2]

Step-by-step explanation:

This actually depends in different problem but the way I think your talking about is the easiest way.

Problem: 80% of 385

Step 1 You will be Multiplying

Step 2. Move the decimal to the left by 2 places.

Example: 385

x .80

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Step 3 do the problem

example: 385

x.80

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308.0% is the percentage

make sure to drop the decimal but if there there nothing after it don't leave it in your final answers ( some teachers mark it wrong when it really it's not wrong just improper format)

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3 years ago

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alukav5142 [94]

This is a vertical line that goes through all points with an x-coordinate of -9.

To graph it, I can give you a couple of points this line goes through so you can draw it more easily.

Points that are on line: (-9,0) and (-9,1)

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3 years ago