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amid [387]
3 years ago
14

Which answer choice correctly solves for a and b?

Mathematics
1 answer:
Zepler [3.9K]3 years ago
6 0

Answer:

C

Step-by-step explanation:

Using the sine ratio and the exact value sin45° = \frac{1}{\sqrt{2} } , then

sin45° = \frac{opposite}{hypotenuse}  = \frac{6}{a} = \frac{1}{\sqrt{2} } ( cross- multiply )

a = 6\sqrt{2}

Using the tangent ratio and the exact value tan45° = 1 , then

tan45° = \frac{opposite}{adjacent} = \frac{6}{b} = 1 , so

b = 6

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Aleksandr [31]

Answer:

a=\frac{3}{x^{2} }

b=5

Step-by-step explanation:

we are given

\frac{3}{x} }+\frac{5}{x^{2} }=ax+\frac{b}{x^{2} }

we will compare both sides of equaion

 \frac{b}{x^{2} }=\frac{5}{x^{2} }

comparing both sides we get

b=5

and

\frac{3}{x} }=ax

a=\frac{3}{x^{2} }

hence

a=\frac{3}{x^{2} }

and   b=5

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4 years ago
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Step-by-step explanation:

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The heights of 4 students are 5 1/2 feet, 5.35 feet, 5 4/10 feet and 5.5 feet. What is the height in feet of the shortest studen
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3 years ago
X is a normally Distributed random variable with a standard deviation of 4.00. Find the mean of X when 64.8% of the area lies to
Cerrena [4.2K]

Answer:

7

Step-by-step explanation:

σ = 4 ; μ =?

8.52 to the left of X

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P(X < 8.52) = 64.8%

P(X < 8.52) = 0.648

Using the Z relation :

(x - μ) / σ

P(Z < (8.52 - μ) / 4)) = 0.648

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0.38 = 8.52 - μ / 4

0.38 * 4 = 8.52 - μ

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5 0
3 years ago
The following graph shows a proportional relationship.
elena-s [515]

Answer:

The constant of proportionality is thus 1

Step-by-step explanation:

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