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myrzilka [38]
3 years ago
13

A chord of a circular clock is 48 inches long, and its midpoint is 7 inches from the center of the circle. What is the radius of

the clock to the nearest whole number?

Mathematics
1 answer:
Sphinxa [80]3 years ago
8 0

ANSWER

The radius is 25 inches

EXPLANATION

From the diagram, the radius of the circle is AC.

From the Pythagoras Theorem,

{r}^{2}  =  {7}^{2}  +  {24}^{2}

r^{2}  =  49 +  576

Simplify

r^{2}  = 625

Take positive square root,

r =  \sqrt{625}

r = 25

Hence the radius is 25 inches

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A point on the terminal side of an angle theta is given. Find the exact value of each of the six trigonometric functions of thet
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Answer:

Step-by-step explanation:

Plot that point in the x/y coordinate plane to see that it sits in the third quadrant.  From the point, draw a line to the origin, constructing a right triangle.  The side adjacent to the angle is -2, the side across from the angle is -5, so we need to find the length of the hypotenuse using Pythagorean's Theorem:

c^2=(-5)^2+(-2)^2 and

c^2=25+4 so

c=\sqrt{29}

That means that

sin\theta=-\frac{5}{\sqrt{29} }=-\frac{5\sqrt{29} }{29} and

csc\theta=-\frac{\sqrt{29} }{5}

That means that

cos\theta=-\frac{2}{\sqrt{29} }=-\frac{2\sqrt{29} }{29} and

sec\theta=-\frac{\sqrt{29} }{2}

It also means that

tan\theta=\frac{5}{2} and

cot\theta=\frac{2}{5}

4 0
4 years ago
50. If Ken is taller than Scott, then Dale is shorter than Connie. Which of the following must be true?
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Answer:

would it be A

Step-by-step explanation:

5 0
4 years ago
HELP PLEASE I DONT UNDERSTAND >:(((
givi [52]

Answer:

A function is defined as every x value only has one y value. Since the second row says that when x is 5, y is 6. This means that p = 6

Step-by-step explanation:

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Find the lateral area for the prism. L.A. =<br> Find the total area for the prism. T.A. =
Ksivusya [100]
The lateral area of the prism is given by:
LA=[area of the two triangles]+[area of the lateral rectangles]
hypotenuse of the triangle will be given by Pythagorean:
c^2=a^2+b^2
c^2=6^2+4^2
c^2=52
c=sqrt52
c=7.211'
thus the lateral area will be:
L.A=2[1/2*4*6]+[6*8]+[8*7.211]
L.A=24+48+57.69
L.A=129.69 in^2

The total are will be given by:
T.A=L.A+base area
base area=length*width
=4*8
=32 in^2
thus;
T.A=32+129.69
T.A=161.69 in^2

6 0
4 years ago
Read 2 more answers
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