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givi [52]
3 years ago
15

Find part “a” Find part “b”

Mathematics
1 answer:
Kay [80]3 years ago
3 0

Answer:

a = 3.74

b = 11.26

Step-by-step explanation:

well to start we have to know the relationships between angles, legs and the hypotenuse.

a: adjacent

o: opposite

h: hypotenuse

sin α = o/h

cos α= a/h

tan α = o/a

α = 60°

β = 30°

h = 15

cos α = a/h                   cos β = a/h

cos 60 = x / 15           cos 30 = x / 15

0.5 * 15 = x                 0.866 * 15 = x

x = 7.5                         z = 13

we already calculate all the data of the largest triangle, now we have to calculate y, for this we will calculate it with one of the triangles that is formed with y

sin β = o/h

sin 30 = y / z

0.5 = y / 13

0.5 * 13 = y

y = 6.5

we can apply Pythagoras

h^2 = c1^2 + c2^2

z^2 = y^2 + b^2

13^2 = 6.5^2 + b^2

169 = 42.25 + b^2

169 - 42.25 = b^2

√126.75 = b

b = 11.26

a = 15 - b

a = 15 - 11.26

a = 3.74

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worty [1.4K]

Answer:

3.7%

Step-by-step explanation:

We know that from this situation, the probability of drawing a single green marble is 1/3. However, to find the probability of drawing 3 green marbles, we will need to do:

P= \frac{1}{3}* \frac{1}{3}*\frac{1}{3}

We get a probability of:

P= \frac{1}{27}

This converts to a percentage of:

\frac{1}{27}= 0.037 \\ 0.037*100= 3.7%

We get a percentage of 3.7%

8 0
3 years ago
Please choose an answer below.<br> A) 3.4 <br> B) 36.0 <br> C) 38.6 <br> D) 41.2
schepotkina [342]

Answer:

It would be D.

Step-by-step explanation:

Hope this helps!!!

6 0
3 years ago
7. Triangle FIP was dilated by a scale factor of centered at the origin to
Assoli18 [71]

Answer:

AB is parallel to A'B'.

DO,1/2 (1/2x, 1/2y) =

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Step-by-step explanation:

6 0
2 years ago
manufacturing company produces digital cameras and claim that their products maybe 3% defective. A video company, when purchasin
alexdok [17]

Answer:

P(X>17) = 0.979

Step-by-step explanation:

Probability that a camera is defective, p = 3% = 3/100 = 0.03

20 cameras were randomly selected.i.e sample size, n = 20

Probability that a camera is working, q = 1 - p = 1 - 0.03 = 0.97

Probability that more than 17 cameras are working P ( X > 17)

This is a binomial distribution P(X = r) nCr q^{r} p^{n-r}

nCr = \frac{n!}{(n-r)!r!}

P(X>17) = P(X=18) + P(X=19) + P(X=20)

P(X=18) = 20C18 * 0.97^{18} * 0.03^{20-18}

P(X=18) = 20C18 * 0.97^{18} * 0.03^{2}

P(X=18) = 0.0988

P(X=19) = 20C19 * 0.97^{19} * 0.03^{20-19}

P(X=19) = 20C19 * 0.97^{19} * 0.03^{1}

P(X=19) = 0.3364

P(X=20) = 20C20 * 0.97^{20} * 0.03^{20-20}

P(X=20) = 20C20 * 0.97^{20} * 0.03^{0}

P(X=20) = 0.5438

P(X>17) = 0.0988 + 0.3364 + 0.5438

P(X>17) = 0.979

The probability that there are more than 17 working cameras should be 0.979 for the company to accept the whole batch

6 0
3 years ago
BRAINLIEST FOR CORRECT ANSWER: What is the area of this figure?
White raven [17]
The answer is 253 square feet
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2 years ago
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