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3241004551 [841]
1 year ago
13

a straight water slide is 175 feet above ground and is 200 feet long. What is the angle of depression to the bottom of the slide

?

Mathematics
1 answer:
Nikitich [7]1 year ago
6 0

Answer:

The angle of depression is equal to 41.2\°

Step-by-step explanation:

Let

x------> the angle of depression

we know that

x=arctan(\frac{175}{200})= 41.2\°

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In a poker hand, John has a very strong hand and bets 5 dollars. The probability that Mary has a better hand is .04. If Mary had
mr_godi [17]

Answer:

When Mary raises the probability that she has a better hand is 0.273

Step-by-step explanation:

In the poker game it is given that the probability that Mary has a better hand than John is 0.04.

Let the event that Mary has a better hand than John be A.

Let the event that that Mary raises the stakes be B.

It is also given that if Mary has a better hand than John then she would raise with a probability of 0.9

Therefore p(B | A) = 0.9

If Mary has a poorer hand she will raise with a probability of 0.1

Therefore p(B | A') = 0.1

Given that Mary raises the probability that she has a better hand is given by

p(A | B)

 = \frac{p(A\cap B)}{p(B)} = \frac{p(A)p(B | A)}{p(A)p(B | A) + p(A')p(B | A')}  = \frac{(0.04 \times 0.9) }{(0.04 \times 0.9) + (0.96 \times 0.1)}  = \frac{36}{36 + 96}  = \frac{36}{132}  = \frac{3}{11}

= 0.273

So when Mary raises the probability that she has a better hand is 0.273

3 0
2 years ago
The hypotenuse of a 45°-45°-90° triangle measures 10 StartRoot 5 EndRoot in. A right triangle is shown. The hypotenuse has a len
suter [353]

Answer:

5\sqrt{10}\ units

5 StartRoot 10 EndRoot

Step-by-step explanation:

we know that

The legs of a 45°-45°-90° triangle are congruent

Let

x ---->  the length of one leg of the triangle

Applying the Pythagorean Theorem

c^2=a^2+b^2

where

c is the hypotenuse

a and b are the legs

we have

c=10\sqrt{5}\ units

a=b=x\ units

substitute

(10\sqrt{5})^2=x^2+x^2

500=2x^2\\x^2=250\\x=\sqrt{250}\ units

Simplify

x=5\sqrt{10}\ units

5 StartRoot 10 EndRoot

4 0
1 year ago
Read 2 more answers
Gina is buying bags of apples at the grocery store. Each bag of apples has five apples in it. Which equation shows the relations
Nadya [2.5K]

Answer:

y=5x

Step-by-step explanation:

Given no of bags is x

No of apples in each bag is 5

Thus no of apples in x bags can be obtained by multiplying no of bags(x in this case)   with No of apples in each bag  (5 in this case).

Total no of apples in x bag = 5*x = 5x

As y represent relationship between number of apples and bag. 5x will be equal to y.

it can be represented as y = 5x

Thus equation A y=5x   shows the relationship between the number of apples, y, and the number of bags, x

6 0
2 years ago
There are 20 alligators in the swamp. Each year, the number of alligators increases by 25%. There are 25 crocodiles in the swamp
myrzilka [38]
Part A: f(x)=(5)x+20(alligators) and f(x)=(10)x+25(crocodiles)

Part B: f(x)=(5)(4)+20(alligators) and f(x)=(10)(4)+25(crocodiles)
Alligators: 40 and Crocodiles: 65

Part C: None because the rate of the alligators won't catch up with the rate of crocodiles.
7 0
1 year ago
Jason grew from 36 inches to 40 inches in 1 year. By percent did his growth increase? Round your answer off to the nearest tenth
IrinaVladis [17]

Answer:

33%

Step-by-step explanation:

7 0
1 year ago
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