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3 years ago

What is the length of the hypotenuse of a right triangle if each of the two legs is 7 units? (1 point)

Mathematics

2 answers:

NNADVOKAT [17]3 years ago

8 0

Look at the attached picture ⤴

Hope it will help u...:)

Savatey [412]3 years ago

6 0

Answer:

Square root of 98

Step-by-step explanation:

The Pythagorean Theorem states that a^2+b^2=c^2.

This means that the sides are represented by a^2+b^2. In order to find the hypotenuse in this problem, we substitute a and b for 7 and 7.

7^2+7^2=c^2

we do what it shows us and get:

49+49=c^2

from there, we add the left side altogether then square each side to get rid of the root.

98=c^2

√98=√c^2

and since 98 can't have two numbers that multiply together and be the same number, we leave it as is like this:

√98 = c

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On a certain hot summer's day, 391 people used the public swimming pool. The daily prices are $1.25 for children and $2.25 for

Tomtit [17]

127 children and 264 adults swam at the public pool that day

Step-by-step explanation:

On a certain hot summer's day

391 people used the public swimming pool
The daily prices are $1.25 for children and $2.25 for adults
The receipts for admission totaled $752.75

We need to find how many children and how many adults swam at the public pool that day

Assume that the number of children is x and the number of adult is y in that day

∵ x children swam that day

∵ y adults swam that day

∵ 391 people used the swimming pool that day

- Add x and y, then equate the sum by 391

∴ x + y = 391 ⇒ (1)

∵ The daily price for children is $1.25 per child

∵ The daily price for an adult is $2.25

∵ The receipts for admission totaled $752.75

- Multiply x by 1.25 and y by 2.25, then add the products and

equate the sum by 752.75

∴ 1.25x + 2.25y = 752.75

- Divide each term by 1.25 to simplify the equation

∴ x + 1.8y = 602.2 ⇒ (2)

Now we have a system of equations to solve it

Subtract equation (1) from equation (2) to eliminate x

∵ (x - x) + (1.8y - y) = 602.2 - 391

∴ 0.8y = 211.2

- Divide both sides by 0.8

∴ y = 264

- Substitute the value of y in equation (1) to find x

∵ x + 264 = 391

- Subtract 264 from both sides

∴ x = 127

127 children and 264 adults swam at the public pool that day

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

6 0

3 years ago

What is the radius of a circumference 56.5

Bas_tet [7]

8.992254284692088 is the radius I believe

7 0

3 years ago

Write an eqaution in slope-intercwpt form for the line with slope -5 and y-intercept 9

DerKrebs [107]

Answer:

y = -5x + 9

Step-by-step explanation:

Slope-intercept form of an equation is:

y = mx + b

Since they gave you the slope and y-intercept, it is kind of a fill-in-the-blank problem. Nothing to calculate!

Fill in the slope for the m. Fill in the y-intercept for the b.

y = -5x + 9

6 0

2 years ago

What is the slope of the line that goes through (2, 5) and (-6, -2) ?

alexira [117]

Answer:
slope = 7/8

Explanation:
Slope of the line can be calculated using the following equation:
slope = $\frac{y2 - y1}{x2 - x1}$

The two points given are:
(2,5) representing (x1 , y1)
(-6,-2) representing (x2 , y2)

Substitute with the points in the above equation to get the slope as follows:
slope = $\frac{-2 - 5}{-6 - 2}$ = 7/8

Hope this helps :)

7 0

3 years ago

Amount of money at the end of period. $14,000 per year for 15 years with 7% interest, compounded semiannually

LenaWriter [7]

Answer:

$39284

Step-by-step explanation:

formula is,

CA=p (1+r÷200)^2t

5 0

3 years ago