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3 years ago

Which product is negative?

Mathematics

1 answer:

Vsevolod [243]3 years ago

4 0

The answer would be A. I did the math and got -168.

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What is the exact value

Viefleur [7K]

The answer you have is correct

3 0

3 years ago

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

2 years ago

How do you write 900 in expanded form

Dvinal [7]

Well its
900+0+0
basically
like if it was
9,234
then it would be
9000+200+30+4

7 0

3 years ago

Read 2 more answers

What is ∑n=15[5(−2)n−1] equal to?

kicyunya [14]

Answer:

Although the notation is sloppy, I will assume based on former questions of the same that "∑n=15[5(−2)^n−1]" translates mathematically to . Please correct me, though, if this in incorrect.

Anyway, there is neat formula that will deal with question very quickly. It is the following:

Sn is the sum of the geometric series

a1 is the first term in the series

r is the common ratio

n is the number of terms in the finite geometric series

Let's use this formula to our advantage! However, there are two variables that we do not know: a1 and n. Let's start with a1.The first term in the series is when n=1, so let's determine what that is.

6 0

2 years ago

A ball is dropped from a height of 10 feet. The ball bounces to 90% of its previous height with each bounce. Identify the geomet

Salsk061 [2.6K]

The geometric sequence that shows the height of the fourth bounce in bold is B) 9, 8.1, 7.3, 6.6,...

5 0

3 years ago

Read 2 more answers