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AlexFokin [52]
3 years ago
14

Find the value of c, rounded to the nearest tenth A. 11 B. 14.3 C. 37.6 D. 7.4

Mathematics
2 answers:
Helga [31]3 years ago
8 0

Answer:

D. The correct value of  c  = 7.4

Step-by-step explanation:

According to Tangent-Secant theorem:

"When a tangent and a secant are drawn from one single external point to a circle, square of the length of tangent segment must be equal to the product of lengths of whole secant segment and the exterior portion of secant segment."

Here, the external length of tangent segment = 10

Also, the length of internal segment  is 14 and c.

So, by the SECANT THEOREM:

(10)^2  = 14 \times c\\\implies c = \frac{100}{14} = 7.14

or, c  = 7. 1428

Now, rounding off the value of c = 7. 14 to the nearest tenth, we get

c = 7. 4

Hence the correct value of  c  = 7.4

guapka [62]3 years ago
6 0

Answer:

The value of c for he given figure is 7.4  

Step-by-step explanation:

Given figure of circle with two chords meeting outside the circle

Let The points A, D , E , C are on the circle

And The chords AB and CD meets at points B

The measure of AD = 20

The measure of BD = 10

So. The measure of AB = 20 + 10 = 30

The measure of CE = c

The measure of EB = 14

So, The measure of CB = c + 14

Now, <u>From the property of circle </u>

AB × BD = CB × EB

Or, ( AD +BD ) × BD = ( CE + EB )  × EB

Or, ( 20 + 10 ) × 10 = ( c + 14 ) × 14

or, 30  × 10 = c × 14 + 196

Or, 300 - 196 =  c × 14

Or  c × 14 = 104

∴ c = \frac{104}{14}

I.e c = 7.4

Hence The value of c for he given figure is 7.4  Answer

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shepuryov [24]

Answer:

19.44

Step-by-step explanation:

We have the following information:

3 red balls, 5 green balls, and 1 yellow ball

In total there are 3 + 5 + 1 = 9 balls.

We calculate the probability of each:

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Green: 5/9

Yellow: 1/9

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Yellow: 10

So in total it would be the sum of the multiplication of the probability and the price and then multiply everything by 25:

(4 * 3/9 + -3 * 5/9 + 10 * 1/9) * 25 = (0.777) * 25

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3 years ago
a) Using your equation from step 2d, estimate the GPA of a student who studies for 15 hours a week. Justify your answer. The equ
saul85 [17]

Answer:

The predicted GPA is then y = 0.149(15) + 0.89 = 3.125

Step-by-step explanation:

Although you don't specifically say so, the equation you provide here is probably a "best fit" equation based upon data:  GPA versus number of hours of study per week.

Here, y = 0.149x + 0.89 and the number of study hours of interest is 15.

The predicted GPA is then y = 0.149(15) + 0.89 = 3.125

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3 years ago
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EXPERT HELP I'LL GIVE BRAINLIEST:
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Answer:

990, C

Step-by-step explanation:

The formula for the surface area of the bottom cushion is

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w = 18, l = 21, h = 3

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2 years ago
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