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4 years ago

Create an example of a real-world problem that could be solved using a trigonometric function.

Mathematics

1 answer:

Mariulka [41]4 years ago

8 0

Problem:

The horizontal length of a ramp for people with disabilities is 5 meters. The angle of inclination between the base of the ramp and the surface through which people with disabilities pass is 10 degrees.

Find the length of the ramp.

Solution:

The length of the ramp can be found using the cosine function.

From here, you find the following relationship:

cosine (10) = 5 / L

From here, you clear the length of the ramp.

You might be interested in

The length of human pregnancies from conception to birth follows a distribution with mean 266 days and standard deviation 15 day

Katena32 [7]

Answer:

a) 81.5%

b) 95%

c) 75%

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 266 days

Standard Deviation, σ = 15 days

We are given that the distribution of length of human pregnancies is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(between 236 and 281 days)

$P(236 \leq x \leq 281)\\\\= P(\displaystyle\frac{236 - 266}{15} \leq z \leq \displaystyle\frac{281-266}{15})\\\\= P(-2 \leq z \leq 1)\\\\= P(z \leq 1) - P(z < -2)\\= 0.838 - 0.023 = 0.815 = 81.5\%$

b) a) P(last between 236 and 296)

$P(236 \leq x \leq 281)\\\\= P(\displaystyle\frac{236 - 266}{15} \leq z \leq \displaystyle\frac{296-266}{15})\\\\= P(-2 \leq z \leq 2)\\\\= P(z \leq 2) - P(z < -2)\\= 0.973 - 0.023 = 0.95 = 95\%$

c) If the data is not normally distributed.

Then, according to Chebyshev's theorem, at least $1-\dfrac{1}{k^2}$ data lies within k standard deviation of mean.

For k = 2

$1-\dfrac{1}{(2)^2} = 75\%$

Atleast 75% of data lies within two standard deviation for a non normal data.

Thus, atleast 75% of pregnancies last between 236 and 296 days approximately.

7 0

3 years ago

A linear revenue function is R = 12x. (Assume R is measured in dollars.) what is the slope? What is the revenue received from se

kherson [118]

Answer:

12 ; 12 dollars

Step-by-step explanation:

Data provided in the question:

Revenue function, R = 12x

R is in dollars

Now,

The slope can be found out by differentiating the above revenue function w.r.t 'x'

thus,

$\frac{\textup{dR}}{\textup{dx}}$ = $\frac{\textup{d(12x)}}{\textup{dx}}$

slope = 12

Now, for the second case of selling one more unit i.e x = 1, the revenue can be obtained by substituting x = 1 in revenue function

therefore,

R = 12 × 1 = 12 dollars

6 0

3 years ago

The ratio of apples to orgens is 1 to 3

-BARSIC- [3]

Because the ratio is 1 to 3. It means that For every one apple there are 3 oranges. So If there are 2 apples, there would n 6 oranges. If there are twelve apples, there would be 36 oranges. To find the number of oranges for the amount of apples, just multiply the number of apples by 3.

8 0

4 years ago

Suppose today is Tuesday. What day of the week will it be 100 days from now?

VladimirAG [237]

Sunday
Hope this helps!

7 0

4 years ago

William went shopping for a new phone because of a sale. The store was offering a 15% discount. If the price on the tag was $41,

Damm [24]

Answer: $34.85

Step-by-step explanation: $41 x 15%= 34.85 before tax

4 0

4 years ago