Please give me answer

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

Please answer both thank you

jeyben [28]

Answer:

7.

Solution given;

male=15

female=27

1st term=5*3

2nd term=3*3*3

now

Highest common factor=3

So

The maximum number of groups that the teacher can make is 3.

and each team contains 5 male and 9 female.

7 0

3 years ago

Who was the first United States president

scoray [572]

The answer is George washington.

4 0

3 years ago

Read 2 more answers

Graph the function. Describe its position relative to the graph of the indicated basic function.

masya89 [10]

Answer:

The answer is (b) moved right 3 units and moved down 3 units

Step-by-step explanation:

∵ f(x) = 4^x ⇒ red in the graph

∵ f(x) = 4^(x-3) - 3 ⇒ blue in the graph

∵ x becomes x - 3 ⇒ means:

The graph moved right 3 units

∵ f(x) = 4^x becomes 4^(x-3) - 3 ⇒ means:

The graph moved down 3 units

∴ The answer is (b)

9 0

3 years ago

Read 2 more answers

Which expressions are equivalent?

Phoenix [80]

im pretty sure it's the first option.

6 0

4 years ago

Read 2 more answers