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IrinaVladis [17]
3 years ago
7

Need an answer showing work thx!

Mathematics
1 answer:
aivan3 [116]3 years ago
5 0

Answer:

The theater has 275 seats

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Circle O has a center at (-2, 10) and a
allsm [11]

Answer:

B

Step-by-step explanation:

If the point lies on the circle, the distance of the point to the center would be equivalent to the circle's radius since radius is defined as the distance from the center to any point of the circle.

Since length of a radius is half of a diameter,

radius= diameter ÷2

radius= 12 ÷2

radius= 6 units

Let's find the length between each points to see which is equal to 6 units, using the distance formula below.

distance =  \sqrt{(y1 - y2)^{2} +  {(x1 - x2)}^{2}  }

A. Distance between 2 points

=  \sqrt{ {(10 + 5)}^{2}  + ( - 2 + 6)^{2} }  \\  =  \sqrt{15 ^{2} +  {4}^{2}}  \\  =  \sqrt{241}  \\  = 15.524 \: units

(to 5 s.f.)

Since the distance is greater than 6 units, point A lies outside the circle.

B. Distance between 2 points

=  \sqrt{ {(10 - 4)}^{2} + ( - 2 + 2)^{2}  }  \\  =  \sqrt{ {6}^{2} }  \\  = 6 \: units

Since the distance of B from the center is 6 units, point B lies on Circle O.

Let's check the other 2 points:

C. Distance between 2 points

=  \sqrt{ {(10 - 4)}^{2}  +  {( - 2 - 6)}^{2} }  \\  =  \sqrt{ {6}^{2}  + ( - 8)^{2} }  \\  =  \sqrt{100}  \\  = 10 \: units

Since the distance of point C from the center is greater than 6 units, point C lies outside the circle.

D. Distance between 2 points

=  \sqrt{ {(10 - 8)}^{2}  +  {( - 2 - 8)}^{2} }  \\  =  \sqrt{2^{2}  + ( - 10)^{2} }  \\  =  \sqrt{104}  \\  = 10.198 \: units

(to 5 s.f.)

Point D also lies outside Circle O.

8 0
3 years ago
PLEASE HELP
Sholpan [36]

Answer:so far i don´t know exactly but it hard i hope u get it correct i am wishing u good luck

Step-by-step explanation:

4 0
2 years ago
HELP!! ANSWER IF YOU KNOW!
VLD [36.1K]

Answer: C


Step-by-step explanation:

Makes sense

4 0
3 years ago
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Can someone help me with this ?<br><br>What is the area of the shaded square?
ycow [4]

Answer:

40

Step-by-step explanation:

10x10x10x10=40

3 0
3 years ago
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A right triangle has legs that measure 8 inches and 15 inches
Ksivusya [100]
<span>The length of the hypotenuse is 17 inches.</span>

4 0
3 years ago
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