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kondor19780726 [428]
3 years ago
15

a secant and tangent are drawn to a circle from a common exterior point. If the length is 14 inches and the length of the extern

al segment of the secant is 4 inches, then it which of the following is the length,in inches, of the internal segment of the secant?

Mathematics
1 answer:
hoa [83]3 years ago
5 0

Answer:

Correct option: (3) 45

Step-by-step explanation:

Let's call the length of the tangent 'T', the length of the external segment 'E' and the length of the internal segment 'A'.

If we have a secant and a tangent to a circle, we can use the following property:

T^2 = E * (A + E)

If the tangent is 14 inches and the external segment is 4 inches, we have that:

14^2 = 4 * (A + 4)

196 = 4A + 16

4A = 180

A = 45

Correct option: (3)

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State the amplitude, period, phase shift, and vertical shift of the function m(t)= 7 cos (t+3)
tiny-mole [99]

Answer:

B

Step-by-step explanation:

Given a sinusoidal function in the form  f(x)=Acos(Bx+C)+D, we can say:

  • A is the amplitude
  • \frac{2\pi}{B} is the period
  • -\frac{C}{B}  is the phase shift
  • D is the vertical shift

From the function given  m(t) = 7 Cos (t+3), we see that

A = 7

B = 1

C = 3

D = 0

Thus, from the info, we can say

Amplitude = 7

Period = 2π

Phase Shift = -3

Vertical Shift = 0

Answer choice B is right.

3 0
3 years ago
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Answer:

44 blue and 52 green

Step-by-step explanation:


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3 years ago
Walter is a botanist. He often needs to weigh parts of plants, such as flowers or leaves. Which of the following units would lik
anygoal [31]
I would say d. Grams.


Hope this helps.:)
4 0
3 years ago
the price of a new video game is $59.69 before tax. allison bought the game for 12% off. she then paid 9.25% sales tax on the di
rewona [7]

Answer:

a) $4.86

b) $57.39

Step-by-step explanation:

a) To find how much sales tax Allison paid, find the sale price. The price of the game was 12% off. This means Allison paid 88% of the new price. COnevrt 88% to 0.88. The multiply it with the price.

0.88*59.69 = 52.53

The sale price was $52.53. She will pay 9.25% or 0.0925 of the sale price.

0.0925 (52.53) = 4.86

b) She pays in total $52.53 + 4.86 = 57.39

7 0
4 years ago
A botanist collected data on the growth of sunflowers to maturity. She modeled the equation y=x+1/2 for the line of best fit
murzikaleks [220]

Answer:

The y intercept is 1/2

i.e. The starting height is 1/2

Step-by-step explanation:

Given

y =x + \frac{1}{2}

Required

Determine the y intercept --- <em>Missing</em>

At y intercept: x = 0

So:

y =x + \frac{1}{2}

Substitute x = 0

y = 0 + \frac{1}{2}

y = \frac{1}{2}

<em>The y intercept is 1/2</em>

4 0
3 years ago
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