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laiz [17]
2 years ago
10

Help please ive tried with my friends and no luck

Mathematics
1 answer:
Tom [10]2 years ago
7 0

Answer:

a=5 \sqrt{7}

Step-by-step explanation:

Pythagoras Theorem explains the relationship between the <u>three sides</u> of a <u>right triangle</u>.  The square of the hypotenuse (longest side) is equal to the sum of the squares of the legs of a right triangle:

    a^2+b^2=c^2

where:

  • a and b are the legs of the right triangle
  • c is the hypotenuse (longest side) of the right triangle

Given:

  • b = 9
  • c = 16

Substitute the given values into the formula and solve for a:

\begin{aligned}a^2+b^2 & = c^2 \\\implies a^2+9^2 & =16^2\\a^2+81 & =256\\a^2+81-81 & =256-81\\a^2 & =175\\\sqrt{a^2} & =\sqrt{175}\\a & =\sqrt{25 \cdot 7}\\& = \sqrt{25}\sqrt{7}\\& =5\sqrt{7}\end{aligned}

Therefore, the measure of the third side of the given right triangle is 5 \sqrt{7}

Learn more about Pythagoras Theorem here:

brainly.com/question/26954703

brainly.com/question/27707750

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An electric utility company determines the monthly bill for a residential customer by adding an energy charge of 7.32 cents per
Sedaia [141]

Answer:

y(x) = 0.0732x + 17.32

Step-by-step explanation:

The equation for the monthly charge has the following format

y(x) = ax + b

In which y(x) is the cost in function of the number of kilowatt-hours used(x), a is the price of each killowatt hour and b is the fixed(base) charge.

Base charge of $17.32 per month.

This means that b = 17.32

charge of 7.32 cents per kilowatt-hour

Our answer is in dollars. Each dollar is 100 cents. So 7.32 cents is a = 0.0732

Write an equation for the monthly charge y in terms of x, the number of kilowatt-hours used.

y(x) = ax + b

y(x) = 0.0732x + 17.32

6 0
3 years ago
How do you become an administrator?
antoniya [11.8K]

How do you become an administrator?

I think answering a lot of questions and dont get warnings

8 0
3 years ago
Which ratio is smaller 8 to 2 or 10 to 1
GalinKa [24]

Simplify the ratio 8 to 2 to be 4 to 1

Now compare 4 to 1 and 10 to 1

4 is smaller than 10 so the ratio 8 to 2 is smaller.

5 0
3 years ago
If a coin is tossed 5 times, and then a standard six-sided die is rolled 4 times, and finally a group of three cards are drawn f
Step2247 [10]

Answer:  5,499,187,200

<u>Step-by-step explanation:</u>

A coin is tossed 5 times.  

There are two options (heads or tails) so the possible outcomes are: 2⁵

A six-sided die is rolled 4 times.

There are six options so the possible outcomes are: 6⁴

A group of 3 cards are drawn (without replacement).

The first outcome has 52 options, the second has 51 options, and the third has 50 options: 52 x 51 x 50

Now if we want the coin AND the die AND the cards, we have to multiply all of their possible outcomes:

     2⁵ x   6⁴  x  52 x 51 x 50

=   32 x 1296 x 132,600

=  5,499,187,200

3 0
3 years ago
Lin's bike travels 100​ meters when her wheels rotate 55​ times. What is the circumference of her wheels? Round your answer to t
miss Akunina [59]

Answer:

Using formula to calculate the circumference of wheel:

 

where

D is the distance bike travel

n is the number of times rotation

C is the circumference of the wheel

As per the statement:

Lin’s bike travels 100 meters when her wheels rotate 55 times.

here, n = 55 rotation and D = 100 meter.

then by definition:

meter

Therefore, the circumference of her wheel is, 1 9/11

Step-by-step explanation:

6 0
3 years ago
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