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3 years ago

How long is the rail? Round your answer to the nearest tenth.

Mathematics

1 answer:

ziro4ka [17]3 years ago

8 0

Answer:

D. 15.7 yards

Step-by-step explanation:

The safety rail makes a curved side of a quarter circle.

The length of the safety rail = circumference of the curved part only of a quarter circle = ¼*2πr

Where,

radius = 10 yards

π = 3.14

Plug in the values

= ¼*2*3.14*10

= 15.7 yards.

✅The rail is 15.7 yards long.

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Find an equation for the tangent to the curve at P and the horizontal tangent to the curve at Q. y = 5 + cot x - 2 csc x 0 1 2 3

oksian1 [2.3K]

Answer with explanation:

The given function in x and y is,

y= 5 +cot x-2 Cosec x

To find the equation of tangent, we will differentiate the function with respect to x

$y'= -\csc^2 x+2 \csc x\times \cot x$

Slope of tangent at (π/2,3)

$y'_{(\frac{\pi}{2},3)}= -\csc^2\frac{\pi}{2} +2 \csc \frac{\pi}{2}\times \cot \frac{\pi}{2}\\\\=-1+2\times 1 \times 0\\\\= -1$

Equation of tangent passing through (π/2,3) can be obtained by

$\rightarrow \frac{y-y_{1}}{x-x_{1}}=m(\text{Slope})\\\\ \rightarrow \frac{y-3}{x-\frac{\pi}{2}}=-1\\\\\rightarrow 3-y=x-\frac{\pi}{2}\\\\\rightarrow x+y-3-\frac{\pi}{2}=0$

⇒There will be no Horizontal tangent from the point (π/2,3).

5 0

4 years ago

Can someone please help asap

vichka [17]

Answer:2 3/5

Step-by-step explanation:

6 0

3 years ago

A store carries large bottles of water that hold 40 ounces of water, and small water bottles that hold 20 ounces of water. The s

PolarNik [594]

Answer:

57 x 40 + 38 x 20 = n

Step-by-step explanation:

You multiply 57 with 40 to find the number of ounces of water that the large bottles have in total, and that is added by 38 times 20 to find out the total amount of water with the small water bottles, with that you get n, the total number of ounces.

5 0

3 years ago

A car traveling at a constant speed travels 1000 ft in 12 seconds. how long in hours will it take to travel 175 miles?

artcher [175]

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Answer:

3.08 hours

Step-by-step explanation:

We assume you're interested in the time in hours.

$175\text{ mi}\times\dfrac{12\text{ s}}{1000\text{ ft}}\times\dfrac{5280\text{ ft}}{1\text{ mi}}\times\dfrac{1\text{ h}}{3600\text{ s}}=\dfrac{175\times12\times5280}{1000\times3600}\text{ h}=\boxed{3.08\text{ h}}$

It will take 3.08 hours to travel 175 miles at that speed.

7 0

3 years ago

Natalia drove to her grandmother’s house for Thanksgiving. It took her 5 hours, for a total of 225 miles. What is her average sp

Ann [662]

Answer:

45mph

Step-by-step explanation:

225mi / 5hr = 45mph

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3 years ago