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lubasha [3.4K]
2 years ago
9

Find the indicated angle please help (multiple choice)

Mathematics
1 answer:
Taya2010 [7]2 years ago
3 0

Answer:

D

Step-by-step explanation:

sohcahtoa

Sin x = 32/58

sin x = .5517

x = 33°

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After careful testing and​ analysis, an oil company is considering drilling in two different sites. It is estimated that site A
Luda [366]

Answer:

Expected return for site A = $9.6 million

Expected return for site B = $12.4 million

according to the above results the company should choose SITE B because it has higher Expected return

Step-by-step explanation:

Given;

For site A,

Site A net if successful = $30 million

Success probability = 0.4

Site A loss if not successful= -$4 million

Probability of not successful = 0.6

For site B.

Site B net if successful = $60 million

Success probability = 0.3

Site B loss if not successful= -$8 million

Probability of not successful = 0.7

To estimate the expected return on an event with outcomes X1 and X2 with probabilities p1 and p2

E = X1(p1) + X2(p2)

Substituting for site A

E = 30(0.4) - 4(0.6)

E = $9.6 million

Substituting for site B

E = 60(0.3) - 8(0.7)

E = $12.4 million

Therefore, according to the above results the company should choose site B because it has higher Expected return

6 0
3 years ago
mr stone paid $1750 for a new computer at the apple store, if the sales tax is 7.5% what is the final cost. I have 1881.25 must
valina [46]

Answer:

$1881.25

Step-by-step explanation:

Final cost of the computer

= 1750 + 7.5\% \: of \: 1750 \\  \\  = 1750 + 0.075 \times 1750 \\  \\  = 1750 + 131.25 \\  \\  = \$ 1,881.25

6 0
2 years ago
Upper AA 66​-ft-tall fence runs parallel to a wall of a house at a distance of 3030 ft. Find the length of the shortest ladder t
Mkey [24]

Answer:

0.33 ft

Step-by-step explanation:

From the diagram, triangle ACE is similar to triangle BCD.

Therefore,

\frac{b}{30+b} = \frac{6}{a}

a=\frac{6(30+b)}{b}

Let the Length of the Ladder, L

Using Pythagoras theorem

L^{2}=(30+b)^{2}+(\frac{6(30+b)}{b})^{2}

L^{2}=\frac{(30+b)^{2}(36+b^{2})}{b^{2}}

L=\sqrt{\frac{(30+b)^{2}(36+b^{2})}{b^{2}} }

L=\frac{30+b}{b}\sqrt{b^2+36}

To find the least value, we have to equate the derivative of L to 0.

L^{1}=\frac{b^{3}-1080}{b^{2}\sqrt{b^2+36}}

Therefore:

b³-1080=0

b³=1080

b=10.26

The minimum length of the ladder is:

L=\frac{30+10.26}{10.26}\sqrt{10.26^2+36}

=0.33 ft

6 0
3 years ago
Find the missing length for the following trapezoid​
pshichka [43]

Answer:

15 is the answer I think.

7 0
2 years ago
Help
Len [333]

I just took the test!

Answer:

16.2 m²

8 0
3 years ago
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