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Natali5045456 [20]

3 years ago

11

The area of a right triangle is 270 square meters. The height of the right triangle is 15 meters. What is the length of the hypo

tenuse of the right triangle?

2 answers:

soldi70 [24.7K]3 years ago

8 0

Answer:

$\sqrt{549}$ ≈ 23.4

Step-by-step explanation:

A = bh

270 = 15b

b = 18

Now you know the two legs, use the Pythagorean Theorem to find the value of the hypotenuse: a² + b² = c²

15² + 18² = c²

225 + 324 = c²

c² = 549

c = √549

Minchanka [31]3 years ago

8 0

It is what the guy In from of me said

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Z varies jointly as x and y. z=60 when x=5 and y=6. find z when x = 7 and y=3

Aneli [31]

Answer:

z = 42

Step-by-step explanation:

The question can be answered in 2 steps as follows:

Step 1: Calculation of the constant of the variation

The equation for the joint variation can be given as follows:

z = cxy ................... (1)

Where;

z = 60

c = constant = ?

x = 5

y = 6

Substituting the values into equation (1) and solve c, we have:

60 = c * 5 * 6

60 = c * 30

c = 60 / 30

c = 2

Step 2: find z when x = 7 and y = 3

Since from Step 1 c = 2, we now use equation (1) and substitute the values into it to find z as follows:

z = 2 * 7 * 3

z = 42

4 0

3 years ago

Please help- I am very confused-

shusha [124]

Answer:

5÷9

Step-by-step explanation:

5/9 is a fraction where the numerator is divided by the denominator

5 divide by 9

5÷9

4 0

3 years ago

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Two radio stations are playing this week's #1 hit song. One radio station plays the song every 18 minutes. The other radio stati

V125BC [204]

The next time the stations will play the song at the same time would be at 4:12 P.M. because 18×4=72 and 24×3=72 and this is the first number that they share.

3 0

3 years ago

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A population has a mean µ = 6 and ∑x = 48. How many scores are in the population?

maks197457 [2]

Answer:

8

Step-by-step explanation:

Recall the formula for the population mean of a data set:

$\mu=\frac{\sum x}{N}$

We already know that μ is 6 and the sum is 48. Substitute:

$6=\frac{48}{N}$

Divide both sides by 48:

$\frac{1}{8}=\frac{1}{N}$

Reciprocal of both sides:

$N=8$

Thus, there are 8 scores in the population size.

And we're done!

4 0

3 years ago

Read 2 more answers

How do I solve for x

Alchen [17]

Greetings!

To find the length of any side of a right triangle, you can use the Pythagorean Thereom. It states that the squares of two sides are equal to the square of the hypotenuse:
$a^2+b^2=c^2$

Input the information from the diagram into the formula:
$(x)^2+(x+7)^2=(13)^2$

Expand each term:
$(x)^2+(x+7)^2=(13)^2$

$x^2+((x+7)(x+7))=169$

$x^2+(x(x+7)+7(x+7))=169$

$x^2+x^2+7x+7x+49=169$

Combine like terms:
$2x^2+14x+49=169$

Add -169 to both sides:
$(2x^2+14x+49)+(-169)=(169)+(-169)$

$2x^2+14x-120=0$

Factor out the Common Term (2):
$2(x^2+7x-60)=0$

Factor the Complex Trinomial:
$2(x^2-5x+12x-60)=0$

$2(x(x-5)+12(x-5))=0$

$2(x-5)(x+12)=0$

Set Factors to equal 0:
$x-5=0$

$x=5$

or

$x+12=0$

$x=-12$

However, since we are solving for the side length, the only possible answer is 5 (a shape can't have a side with a negative length.)

The Solution Is:
$\boxed{x=5}$

I hope this helped!
-Benjamin

6 0

3 years ago