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Reptile [31]
2 years ago
7

GEO, TRIGONOMETRY! 45 POINTS AND BRAINLIEST FOR CORRECT ANSWER. NEED HELP ASAP PLEASE :) Isabell is standing at the top of a wat

erslide that leads to a pool below. The angle of depression from top of the slide to the pool is 31.66°, and the slide is 46 feet long. How far is the top of the slide from the ground? Round your answer to the nearest foot
Mathematics
1 answer:
IRINA_888 [86]2 years ago
5 0

Answer:

h ≈ 39 ft

Step-by-step explanation:

When we draw out a picture, we should see that we have to use cos∅ to solve this:

cos31.66° = x/46

46cos31.66° = x

x = 39.1542

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If the sum is negative or if the signs are different and the negative has a biger absoulute value.
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3 years ago
The price of a necklace was increased by 20% to ?156. What was the price before the increase?
Verdich [7]

Answer:

31.2

Step-by-step explanation:

156 * .2 = 31.2

3 0
3 years ago
In Leakwater township, there are two plumbers. On a particular day three Leakwater residents call village plumbers independently
Marianna [84]

Answer:

25% probability that all three residents will choose the same plumbe

Step-by-step explanation:

For each resident, there are only two possible outcomes. Either they choose the first plumbe, or they choose the second. The plumbers are chosen independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Each resident randomly chooses one of the two plumbers.

This means that p = \frac{1}{2} = 0.5

Three residents:

This means that n = 3

What is the probability that all three residents will choose the same plumb

This is P(X = 0)(all choose the second pumble) or P(X = 3)(all choose the first pumble). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{3,0}.(0.5)^{0}.(0.5)^{3} = 0.125

P(X = 3) = C_{3,3}.(0.5)^{3}.(0.5)^{0} = 0.125

p = P(X = 0) + P(X = 3) = 2*0.125 = 0.25

25% probability that all three residents will choose the same plumbe

4 0
2 years ago
How many different ways can 6 students be seated in a row?
inna [77]
6!=720
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6 0
3 years ago
How do I solve questions 1,2 and 6?
Talja [164]

Answer:

<h2>1. P = 13.254</h2><h2>2. P = 6.64 + 2x</h2><h2>6. P = 10</h2>

Step-by-step explanation:

1.\\\text{The length of semicircle:}\\\\l=\dfrac{1}{2}d\pi\\\\d-diameter\\\\d=2.2\\\\\text{substitute:}\\\\l=\dfrac{1}{2}(2.2)\pi=1.1\pi\approx(1.1)(3.14)=3.454\\\\\text{The perimeter of the figure:}\\\\P=2(3.8)+2.2+3.454=13.254

2.\\P=2(3.32)+2x=6.64+2x

6.\\\text{Look at the picture.}\\\\P=4(2)+2(1)=8+2=10

7 0
3 years ago
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