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3 years ago

HELP NEEDED AND ASAP!!!!! 30 POINTS

Mathematics

1 answer:

liraira [26]3 years ago

4 0

Answer: The answer to question 1 is 180 in. The answer to question 2 is 54 in. sq. And the answer to question 3 is (2,3)

Step-by-step explanation:

To solve question 1, we need to identify the remaining length of the shape. I've done that in an image below. The next step is to add all of those sides together. It would be 20+20+20+20+20+10+10+60 = 180 inches in length.

To solve question 2, all you need to do is follow the formula A = [h(b) x b] /2

Which may look scary but never fear! Written in understandable words it essentially says, multiply the height by the base then divide by 2.

A = (6 x 18) ÷ 2

A = 108 ÷ 2

A = 54 meters squared

For the last question, I'm not sure what the formula is, but I have a way of doing it that isn't too confusing. Simply add the x values and add the y values, then divide them by 2 to get their halve. Now the new x and y values are your midpoint. (Do not add the x + y values, only the x + x and y + y)

See :

-3 + 7 = 4 4 ÷ 2 = 2

8 + (-2) = 6 6 ÷ 2 = 3

So your new coordinates are (2,3)

I hope this helped you understand :)

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You work for a rental car company. If customers return a car with under half a tank of gas, they are charged $7.50 per gallon of

expeople1 [14]

Answer:

<u>The correct answer is C. $ 39.89</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the questions correctly:

Tank capacity = 21 gallons

Cost of gallon of gas when the car is returned with under half a tank = $ 7.50

Cost of gallon of gas when the car is returned with more than half a tank = $ 5.75

Gas in the tank of the rental car = 1,800 fluid ounces

2. How much should you charge the customer to fill the tank?

Let's recall that 1 gallon = 128 fluid ounces

Now, we will answer the question this way, converting the tank capacity from gallons to fluid ounces:

Capacity of the gas tank = 21 * 128 = 2,688 fluid ounces

Like 1,800 is above the 50% of the tank, we will charge $ 5.75 per gallon to fill up the tank

Now, we calculate the cost of gas per fluid ounce, this way:

Cost per fluid ounce = 5.75/128 = $ 0.04492

Finally, we calculate how many fluid ounces the customer has to pay this way:

We will charge the customer = (2,688 - 1,800) * 0.04492

We will charge the customer = $ 39.89

<u>The correct answer is C. $ 39.89</u>

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3 years ago

The measure of the supplement of an angle is 12 more than twice the measure of the angle. Find the measures of the angle and it'

astra-53 [7]

Supplementary angles add up to 180 degrees-

Let x = "the angle"

supplement angle = 2x + 12 // 12 more than twice the measurement of "the angle"

Supplement angle + "the angle" = 180 degrees

(2x + 12) + x = 180 degrees // 2x + 12 is the supplement angle

3x + 12 = 180 // Simplify

3x = 168 // Subtract 12 from both sides

x = 56 degrees // Divide both sides by 3

The measure of the angle is 56° and its supplement is 124°

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3 years ago

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3 years ago

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Step-by-step explanation:

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2 years ago

A softball has a diameter of 3.82 inches. How many square inches of material is necessary to cover a softball? Use 3.14 for π

lisabon 2012 [21]

Answer:

45.82 square inches

Step-by-step explanation:

Use the formula for the surface area of a sphere, A = 4 $\pi$ r²

If the diameter is 3.82 inches, the radius is 1.91 inches.

Plug in 3.14 as $\pi$ and 1.91 as r, and solve:

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2 years ago