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2 years ago

Help ASAP 20 Points

Mathematics

1 answer:

Licemer1 [7]2 years ago

3 0

Answer:

volume of hemisphere = 452.16 ft³

volume of cylinder = 2260.8 ft³

total volume = 2712.96 ft³

1/3 full = 904.32 ft³

Step-by-step explanation:

volume of hemisphere = 1/2(4/3)(3.14)(6³) = 452.16 ft³

volume of cylinder = (3.14)(6²)(20) = 2260.8 ft³

total volume = 452.16 + 2260.8 = 2712.96 ft³

1/3 full = 2712.96/3 = 904.32 ft³

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15 men can do a piece of work in 80 days. If 5 more men are added, how long will it take to complete same piece of work?

tresset_1 [31]

Answer:

Step-by-step explanation:

This is an inverse proportion.

men = k / Time So first we need to find k

k = men * Time Substitute values

k = 15*80

k = 1200 Notice the units are man days.

Now what happens if we increase the number of men to 20? What happens to the number of days.

20 = 1200 / time Multiply both sides by time

20*time = 1200 Now divide by 20

time = 1200/20

Answer: time = 60 days

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1 year ago

Solve the equation on the interval [0,2π]

WARRIOR [948]

$\bf 16sin^5(x)+2sin(x)=12sin^3(x)
\\\\\\
16sin^5(x)+2sin(x)-12sin^3(x)=0
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\stackrel{common~factor}{2sin(x)}[8sin^4(x)+1-6sin^2(x)]=0\\\\
-------------------------------\\\\
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\begin{cases}
0\\
\pi \\
2\pi 
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$\bf 8sin^4(x)+1-6sin^2(x)=0\implies 8sin^4(x)-6sin^2(x)+1=0$

now, this is a quadratic equation, but the roots do not come out as integers, however it does have them, the discriminant, b² - 4ac, is positive, so it has 2 roots, so we'll plug it in the quadratic formula,

$\bf 8sin^4(x)-6sin^2(x)+1=0\implies 8[~[sin(x)]^2~]^2-6[sin(x)]^2+1=0
\\\\\\
~~~~~~~~~~~~\textit{quadratic formula}
\\\\
\begin{array}{lcccl}
& 8 sin^4& -6 sin^2(x)& +1\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array} 
\qquad \qquad 
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sin(x)=\cfrac{-(-6)\pm\sqrt{(-6)^2-4(8)(1)}}{2(8)}\implies sin(x)=\cfrac{6\pm\sqrt{4}}{16}
\\\\\\
sin(x)=\cfrac{6\pm 2}{16}\implies sin(x)=
\begin{cases}
\frac{1}{2}\\\\
\frac{1}{4}
\end{cases}$

$\bf \measuredangle x=
\begin{cases}
sin^{-1}\left( \frac{1}{2} \right)
sin^{-1}\left( \frac{1}{4} \right)
\end{cases}\implies \measuredangle x=
\begin{cases}
\frac{\pi }{6}~,~\frac{5\pi }{6}\\
----------\\
\approx~0.252680~radians\\
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\approx~14.47751~de grees\\
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\pi -0.252680\\
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180-14.47751\\
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3 years ago

How can you use doubles when multiplying with 4 to find 4x8

pshichka [43]

4 = 2 * 2

Multiplying by 2 is the same a doubling.
Since 4 is 2 * 2, to multiply a number by 4, double the number twice.

Example:
What is 4 * 100?
Double 100 to get 200.
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Therefore, 4 * 100 = 400.
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2 years ago

Super easy 1 question (8) just being lazy

Snezhnost [94]

is this a school qustion? if not

cool me too

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2 years ago

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algol [13]

Answer:

Step-by-step explanation:

The range of a function is going to be the output of the table. 3, 4, 5, and 6 are all outputs in the table. C is the correct answer.

Hope this helps you.

Have a nice day.

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