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3 years ago

Use the table and diagram to answer this question. (I attached the picture)

Mathematics

1 answer:

iragen [17]3 years ago

3 0

We have a right triangle with two of the legs known (7 and 4). The hypotenuse is unknown. Because of this, we will use the tangent trigonometric function.

Tangent of an angle is equal to the ratio of the opposite and adjacent sides
tan(angle) = opposite/adjacent

Divide those two sides to get
opposite/adjacent = 7/4 = 1.75

Look through the table and see which value in the "tan(x)" column is closest to 1.75, and that happens to be 1.7321. It is in the bottom row corresponding to 60 degrees.

So the final answer is choice D) 60 degrees

Note: it turns out that the angle theta is roughly 60.2551187 degrees

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Mark A machine has two parts labeled A and B. The probability that part A works for one year is 0.8 and the probability that par

Mrrafil [7]

Answer:

0.625 = 62.5% probability that part B works for one year, given that part A works for one year.

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

The probability that part A works for one year is 0.8 and the probability that part B works for one year is 0.6.

This means that $P(A) = 0.8, P(B) = 0.6$

The probability that at least one part works for one year is 0.9.

This means that: $P(A \cup B) = 0.9$

We also have that:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

$0.9 = 0.8+0.6 - P(A \cap B)$

$P(A \cap B) = 0.5$

Calculate the probability that part B works for one year, given that part A works for one year.

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.5}{0.8} = 0.625$

0.625 = 62.5% probability that part B works for one year, given that part A works for one year.

3 0

3 years ago

The area of the base of a cylinder is 36 square inches and its height is 10 inches. A cone has the same area

Anon25 [30]

Answer is 120 in^3
Reason
Cone volume is 1/3 BH
(or 1/3 volume of a cylinder)
1/3 x 36 x 10
Answer = 120

7 0

1 year ago

Help me with this problem

svlad2 [7]

Answer:

Angle A is F Angle A = 57. 52+71=123. 180-123=57

3 0

3 years ago

What are the sine, cosine, and tangent of Θ = 3 pi over 4 radians?

Daniel [21]

Our angle teta is:
teta = 3pi/4

since that is larger than pi/2 but less than pi that means that our angle lies in II quadrant (x negative y positive)

sin(3pi/4) = √2/2
cosine and tangent of that angle must be negative because of position of the angle.

cos(3pi/4) = -√2/2
tan(3pi/4) = -1

7 0

3 years ago

What percent of 50 is 18?

JulijaS [17]

Answer:

36 %

Step-by-step explanation:

Convert the fraction to a decimal, then multiply by 100 .

3 0

3 years ago

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