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Alisiya [41]
3 years ago
12

What is the angle of elevation of the sun when a 42​-ft mast casts 16 ft​ shadow? thanks

Mathematics
1 answer:
Elden [556K]3 years ago
6 0

Answer:

Heres how you do it

Step-by-step explanation:

10+2 =12 which means 72

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Evaluate the definite integral
Georgia [21]
\displaystyle\int_{x=9}^{x=10}x\sqrt{x-9}\,\mathrm dx

Let y=x-9, so that x=y+9 and \mathrm dx=\mathrm dy. The integral is then equivalent to

\displaystyle\int_{y=0}^{y=1}(y+9)\sqrt y\,\mathrm dy=\int_0^1(y^{3/2}+9y^{1/2})\,\mathrm dy=\dfrac{32}5
7 0
3 years ago
Find the difference of 1/2 - 3/11
TEA [102]
1/2 - 3/11

Set both denominators (bottom numbers) to 22, so multiply the numerator of 1/2 by 11, and multiply the numerator of 3/11 by 2.

1/2 is now 11/22

3/11 is now 6/22

So, our new question is now : 11/22 - 6/22

Because the denominators are the same, all you have to do is simplify the top numbers.

So, 11-6 = 5

Therefore, your answer is 5/22

~Hope I helped!~
3 0
3 years ago
Read 2 more answers
Pete played 18 tennis matches in a week. Jack played 6 fewer matches than Pete.
Firdavs [7]

Answer:

<h2>Pete played 1.5 times the number of matches that Jack played.</h2><h2 />

Step-by-step explanation:

<u>Pete played 18 tennis matches in a week.</u>

P = 18

<u>Jack played 6 fewer matches than Pete. </u>

J = P - 6

J = 18 - 6

J = 12

<u>How many times the number of matches pete played is the number of matches jack played?</u>

<u />

18 / 12 = 1.5

Pete played 1.5 times the number of matches that Jack played.

8 0
3 years ago
Read 2 more answers
4 students each write an equation which student's equation is true
Setler79 [48]

Answer:

A

Step-by-step explanation:

5 0
2 years ago
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In a certain​ country, the true probability of a baby being a girl is 0.469. Among the next seven randomly selected births in th
-BARSIC- [3]

Answer:

The probability is 0.995 ( approx ).

Step-by-step explanation:

Let X represents the event of baby girl,

The probability of a baby being a girl is, p = 0.469,

So, the probability of a baby who is not a girl is, q = 1 - 0.469 = 0.531,

Also, the total number of experiment, n = 7

Thus, by the binomial distribution formula,

P(x)=^nC_x(p)^x q^{n-x}

Where, ^nC_x=\frac{n!}{x!(n-x)!}

The probability that all babies are girl or there is no baby boy,

P(X=7)=^7C_7(0.469)^7(0.531)^{7-7}

=0.00499125661758

Hence, the probability that at least one of them is a boy​ = 1 - P(X=7)

= 1 - 0.00499125661758

= 0.995008743382

≈ 0.995

8 0
3 years ago
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