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schepotkina [342]
2 years ago
12

Please explain your answer as well

Mathematics
2 answers:
Rudiy272 years ago
7 0

Answer:

23 bby <3

Step-by-step explanation:

eimsori [14]2 years ago
6 0

Answer:

The Pythagorean theorem

a^2+b^2=c^2

c^2=8^2+15^2

c^2=64+225

c^2=289

c= the square root of 289

c=17

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The height of a cylinder is 10 and the area of a base is 36 pi square units. What
ollegr [7]

Answer:

1130.97336 units^3

Step-by-step explanation:

The volume of a cylinder can be found using:

v=\pi r^2h

We have the area of the base, but not the radius

a=\pi r^2

We know the area is 36\pi, so we can substitute that in for a

36\pi =\pi r^2

We want to find r, so we need to isolate it

Divide both sides by pi

36=r^2

Take the square root of both sides

6=r

Now we know the radius, and can substitute it into the volume formula, and we can substitute the height (10) in

v=\pi r^2h

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Solve the exponent

v=\pi 36(10)

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The volume is 1130.97336 units^3

6 0
3 years ago
The length of the rectangle is x cm. The length of a diagonal of the rectangle is 8 crn. The perimeter of the rectangle is 20 cm
klemol [59]

Answer:

x^2-10x+18=0

<em>a</em> = -10 and <em>b</em> = 18.

Step-by-step explanation:

Let <em>w</em> represent the width of the rectangle.

We are given that the perimeter of the rectangle is 20 cm, this means that:

20=2(x + w)

Let's put <em>w</em> in terms of <em>x</em>. Divide both sides by two:

10=x+w

And solve for <em>w:</em>

<em />w=10-x<em />

So, the rectangle measures <em>x</em> by (10 -<em> x</em>) cm.

<em />

According to the Pythagorean Theorem:

a^2+b^2=c^2

<em>a</em> and <em>b</em> are the legs and <em>c</em> is the hypotenuse.

Substitute <em>x</em> for <em>a, w</em> for <em>b</em>, and 8 for <em>c:</em>

<em />x^2+w^2=8^2<em />

Simplify and substitute:

x^2+(10-x)^2=64

Square:

x^2+(100-20x+x^2)=64

Isolate the equation. So:

2x^2-20x+36=0

Since the leading coefficient is one, divide both sides by two:

x^2-10x+18=0

Therefore, <em>a</em> = -10 and <em>b</em> = 18.

6 0
2 years ago
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