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Sergio [31]
4 years ago
7

The radius of a circle is 15 inches. A chord is drawn 4 inches from the center of the circle. How long is the chord?

Mathematics
1 answer:
Alex73 [517]4 years ago
6 0

Let X represent the length of the chord.

By using Pythagoras' Theorem:

4^2 + (X/2)^2 = 15^2

(X^2)/4 = 209

X^2 = 836

X = 28.91

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What is x, if the volume of the cylinder is 768pi rcm3?
AVprozaik [17]

let's recall Cavalieri's Principle, <u>solids with equal altitudes and cross-sectional areas at each height have the same volume</u>, so even though this cylinder is slanted with a height = x and a radius = 8, the cross-sectional areas from the bottom to top are the same thickness and thus the same area, so its volume will be the same as a cylinder with the same height and radius that is not slanted.

\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=8\\ h=x\\ V=768\pi \end{cases}\implies 768\pi =\pi (8)^2(x)\implies 768\pi =64\pi x \\\\\\ \cfrac{768\pi }{64\pi }=x\implies 12=x

5 0
3 years ago
a monument that is 169.4 ft tall is built on a site that is 67.3 Ft below sea level how many feet above sea level is the top of
9966 [12]

Answer:

102.1 ft

Explanation:

We can represent the situation as follows:

So, we need to find the value of H. Therefore, H is equal to:

H = 169.4 ft - 67.3 ft

H = 102.1 ft

So, the top of the monument is 102.1 ft above sea level.

6 0
1 year ago
The starting and finish lines for a yearly race in Columbia are 3 miles apart. How far apart are
fgiga [73]
6 inches. explanation: if 2 in= 1 mile then multiple 2 by 3 (# of miles) & you get 6
4 0
3 years ago
Hi can you Please answer this i will mark brainliest ive been asking for 2 days :( Its Overdue :(
solniwko [45]

Answer:

f(x)= 1.38x

y= 1.38x

Step-by-step explanation:

basically the cost= 1.38 per pound

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5 0
3 years ago
Read 2 more answers
What is the value of x?
Andrei [34K]

Answer:

x=2

Step-by-step explanation:

We will use the secant-secant Formula:

(whole secant) x (external part) =         (whole secant) x (external part)

(1+x+4) * (x+4) = (11+x+1) * (x+1)

Combine like terms

(x+5) (x+4) = (x+12) (x+1)

FOIL

x^2 + 4x+5x + 20 = x^2 +  x+ 12x + 12

Combine like terms

x^2 + 9 x + 20 = x^2 + 13 x + 12

Bring everything to the left

x^2 + 9 x + 20- (x^2 + 13 x + 12) = x^2 + 13 x + 12-( x^2 + 13 x + 12)

x^2 + 9 x + 20- (x^2 + 13 x + 12) =0

Distribute the minus sign

x^2 + 9 x + 20- x^2 - 13 x - 12 =0

Combine like terms

-4x +8 = 0

Subtract 8 from each side

-4x+8-8=0-8

-4x=-8

Divide each side by -4

-4x/-4 = -8/-4

x=2

6 0
3 years ago
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