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tatiyna
2 years ago
5

Find the missing length indicated?

Mathematics
1 answer:
kondor19780726 [428]2 years ago
6 0

Answer:

D. 15

Step-by-step explanation:

Let the missing length be represented as x.

Thus:

(24 - x)/12 = x/20 => angle bisector theorem

Cross multiply

20(24 - x) = x(12)

480 - 20x = 12x

480 - 20x + 20x = 12x + 20x

480 = 32x

480/32 = 32x/32

15 = x

Missing length = x = 15

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A baseball player hits a pitched ball when it is 4 ft above the ground. The initial upward velocity is 80 ft/s. How
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Answer:

t=+4.06

Step-by-step explanation:

when the baseball hits the ground, the height will be 0.

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this means that the height is 0 when −16t2+64t+4=0.−16t2+64t+4=0divide both sides by 4:−4t2+16t+1=04=0−4t2+16t+1=0 can be solved using the quadratic formula:t=−b±√b2−4ac2a, where at2+bt+c=0.at2+bt+c=−4t2+16t+1a=−4,b=16,c=1t=−b+√b2−4ac2aor−b−√b2−4ac2a−b+√b2−4ac2a=−16+√272−8=−0.06..−b−√b2−4ac2a=−16−√272−8=4.06 (3s.f.)we have 2 values for t:−0.06 and 4.06.

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this is 4.06, to 3 significant figures.the time taken is 4.06 seconds.

7 0
1 year ago
Jim had some dimes, quarters, and nickels. First, he counted only the dimes and quarters and found that he had 9 coins. Then, he
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Answer:

$1.90

Step-by-step explanation:

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Let's substitute 9 - d for q in the equation immediately above:

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In summary, Jim has 6 nickels, (10 - 6) dimes and (9 - 4) quarters, or:

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3 years ago
The sum of the measures of angle A and angle B equal 90 degrees. What is cos B​
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Step-by-step explanation:

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3 years ago
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2 years ago
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2 years ago
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