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3 years ago

9

A hiker is going to hike a mountain where there are four trails to the top of the mountain. In how many different ways can a per

son hike up and down the mountain

1 answer:

zhannawk [14.2K]3 years ago

3 0

Answer: 10

Step-by-step explanation:

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A water storage tank has the shape of a cylinder with diameter 14 ft. It is mounted so that the circular cross-sections are vert

andrezito [222]

Answer:

percentage of the total capacity is 75.6%

Step-by-step explanation:

Hello! To solve this problem we follow the following steps

1. draw the complete scheme of the problem (see attached image)

2. To solve this problem we must find the area of the circular sector using the following equation.(c in the second attached image)

$A=\frac{R^2}{2} (\alpha -sin\alpha )$

$\alpha =2arccos(\frac{d}{R})$

3. observing the attached images we replace the values in the equations and find the area of the circular sector, remember that you must transform the angle to radians

$\alpha =2arccos(\frac{5}{7})=88.83$

$A=\frac{R^2}{2} (\alpha -sin\alpha )\\A=\frac{7^2}{2} (88.83-sen88.83)*\frac{\pi rad}{180} =37.57ft^2$

4.we calculate the area of the total circle (At), then subtract the area of the circular sector (Ac) to find the area occupied by water (Aw)

$At=\frac{\pi }{4} (14ft)^2=153.93ft^2$

Aw=At-Ac=153.93-37.57=116.36ft^2

5.Finally, we calculate the percentage that represents the water in the tank by dividing the area of the water over the total area of the tank

$\frac{116.36}{153.93} *100=75.6$

percentage of the total capacity is 75.6%

3 0

3 years ago

What is the area of a regular hexagon with a side length of 4 m? Enter your answer in the box. Round only your final answer to t

Tanzania [10]

The area of a hexagon is
A= a^2 (3√3)/2
we replace a with 4
A=41.57

8 0

3 years ago

Read 2 more answers

He sum of 4x and 2x is less than the difference of 5x and 13

Nata [24]

4x + 2x< 5x-13
solve
6x < 5x-13
subtract 5x
x< (-13)

3 0

3 years ago

which statement best describes why the value of the car is a function of the number of years since it was purchased?

malfutka [58]

Answer:

Each time, t, is associated with exactly one car value, y.

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

The product of two rational is (-28/81).if one of the number is -4/15.find other

Margaret [11]

Answer:

35/27

Step-by-step explanation:

We simply need to divide the product of the numbers (-28/81) by one of the numbers (-4/15):

$\frac{\frac{-28}{81}}{\frac{-4}{15} } \\ \\= \frac{-28}{81} * \frac{15}{-4} \\\\= \frac{7 * 5}{27} = \frac{35}{27}$

The second number is 35/27.

7 0

3 years ago