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tester [92]
3 years ago
12

A right triangle has side lengths of 0.6 meter and 0.8 meter. What is the length of the hypotenuse? Round to the nearest tenth.

Mathematics
1 answer:
Sonja [21]3 years ago
4 0

Use the Pythagorean theorem since you are working with a right triangle:

a^2+b^2=c^2a2+b2=c2

The legs are a and b and the hypotenuse is c. The hypotenuse is always opposite the 90° angle. Insert the appropriate values:

0.8^2+0.6^2=c^20.82+0.62=c2

Solve for c. Simplify the exponents (x^2=x*xx2=x∗x ):

0.64+0.36=c^20.64+0.36=c2

Add:

1=c^21=c2

Isolate c. Find the square root of both sides:

\begin{gathered}\sqrt{1}=\sqrt{c^2}\\\\\sqrt{1}=c\end{gathered}1=c21=c

Simplify \sqrt{1}1 . Any root of 1 is 1:

c=c= ±11 *

c=1,-1c=1,−1

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Answer:

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8 0
2 years ago
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>

7 0
3 years ago
X + y = 12
liberstina [14]
We are given with two equations to find the values of two variables, hence the problem can be solved.

Adding the two equations:

x + y = 12<u>x - y = 10
</u>2x    = 22
<u />x =11
y = 1
8 0
3 years ago
Read 2 more answers
Evaluate each expression |18|
igor_vitrenko [27]
That equals 18 since the distance from zero is 18.


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4 0
4 years ago
Samuel owns 270 comic books. He divided his comic books into two groups to store in boxes. The ratio of the groups appear below.
Anna71 [15]
The Answer Is 5.I Hope This Helps.
6 0
4 years ago
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