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Alina [70]
3 years ago
7

Josie wants to build a slide that is 15 feet long. If the angle of elevation for the side will be 30 degree, how high in feet wi

ll the top of the slide be ?
Mathematics
1 answer:
DochEvi [55]3 years ago
8 0

Answer: 7.5

Step-by-step explanation: draw a right triangle to represent the slide. the slide is 15 feet long, so the hypotenuse of the right triangle would be 15 feet. The angle from the bottom is 30 degrees according to the question. You want to find the angle opposite from the 30 degree angle so use sin(30). Sin=opposite/hypotenuse so sin(30)=x/15 sin(30) is 1/2 so 1/2=x/15. You multiply by 15 on both sides to get x by itself. 1/2*15=7.5

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Wendell is looking over some data regarding the strength, measured in Pascals (Pa), of some building materials and how the stren
Slav-nsk [51]

The logarithmic model for the length when the strength is of 8 Pascals is given by:

  • f^{-1}(8) = \log_{2}{8} = \log_2{2^3} = 3
  • That is, the length is of 3 units.

<h3>What is the function?</h3>

The strength in Pascals for a building of length x is given by:

f(x) = 2^x

To find the length given the strength, we apply the inverse function, that is:

2^y = x

\log_{2}{2^y} = \log_2{x}

y = \log_2{x}

Hence, when the strength is of 8 Pascals, x = 8, and the length is given by:

f^{-1}(8) = \log_{2}{8} = \log_2{2^3} = 3

You can learn more about logarithmic functions at brainly.com/question/25537936

6 0
2 years ago
A medical device company knows that 11% of patients experience injection-site reactions with the current needle. If 4 people rec
Orlov [11]

Answer:  0.6274

Step-by-step explanation:

Given: The proportion of patients experience injection-site reactions with the current needle : p=0.11

Sample size : n= 4

Let x be a binomial random variable that represents the people get an injection-site reaction.

Binomial probability formula: P(X=x)= ^nC_x p^x(1-p)^{n-x}

The required probability : P(x=0)

=\ ^4C_0(0.11)^0(1-0.11)^4\\\\=(1)(1)(0.89)^4\\\\=0.62742241\\\approx0.6274

Hence, the  probability that none of the 4 people get an injection-site reaction =  0.6274

6 0
4 years ago
The money m (in £) Paul has to spend each week is his wage w (in £) subtract the tax t (in £) he pays on his income. Enter a for
tamaranim1 [39]

Answer:

m = £122

Step-by-step explanation:

m = w - t

Where,

m = money Paul had to spend each week (£)

w = Paul's wage (£)

t = tax paid on his income (£)

If w = £160 and t = £38

Find m

m = w - t

= £160 - £38

= £122

Paul has £122 to spend if he earns £160 a week and pays £38 in tax

6 0
3 years ago
HELLLPPPP ASAP PLS!!!!
larisa86 [58]

Answer:

1205.4 would be the answer

3 0
3 years ago
Read 2 more answers
2. What is the quotient of 4/5 divided by 1/3? Show your work in the space below or
Serga [27]

Answer:

4/5/(1/3)

4/5*3 reciprocal of 1/3

=12/5

is 2.4 is the answer..

6 0
3 years ago
Read 2 more answers
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