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-BARSIC- [3]
3 years ago
6

A round silo is 55 feet tall and has a 24 foot radius. How high would a load of 38000 cubic feet of grain fill the silo?

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
6 0

Find the volume of the silo.

The formula is: Volume =  PI x r^2 x h

Replace volume with the volume of grain and solve for h:

38000 = 3.14 x 24^2 x h

38000 = 3.14 x 576 x h

38000 = 1808.64 x h

Divide both sides by 1808.64

h = 38000 / 1808.64

h = 21.01

The grain would be 21.01 feet ( round to 21 feet.)

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In triangle ABC angle A=45 angle B =40 and a=7.Which equation should you solve to find b?
coldgirl [10]

We have been given that in triangle ABC angle A=45 angle B =40 and a=7. We are asked to find the equation that we can use to solve for 'f'.

We have two angles and opposite sides to these angles.

We will use Law of Sines to solve our given problem.

\frac{a}{\sin(A)}=\frac{b}{\sin(B)}=\frac{c}{\sin(C)}, where a, b and c are opposite sides corresponding to angles A, B, and C respectively.

The angle opposite to side b is 40 degrees and angle opposite to side a is 45 degrees.

Upon substituting these values in Law of Sines, we will get:

\frac{7}{\sin(45^{\circ})}=\frac{b}{\sin(40^{\circ})}

Therefore, our required equation would be \frac{7}{\sin(45^{\circ})}=\frac{b}{\sin(40^{\circ})}.

3 0
3 years ago
Write an equation in point-slope form for a line passes through the point (8,-7) and has a slope of 5/4.
fomenos

Answer:

y+7=5/4(x-8)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-7)=5/4(x-8)

y+7=5/4(x-8)

8 0
3 years ago
Complete the table<br> Original Price:?<br> Percent of Discount: 25%<br> Sale Price: $40
BigorU [14]

Answer:

<u><em>The original price would be 50$.</em></u>

Step-by-step explanation:

To find this answer you have to divide 25% by 100, which equals 0.25.  Now multiply 0.25 by 40 and you get 10$.  Since 10$ was the discount, you just add 10$ + 40$, therefore 50$ is the original price.

8 0
3 years ago
find the area of a right angle triangle whose hypotenuse is 13 cm long and one of its legs is 12 cm long​
Lelu [443]

Answer:

30 cm^2

Step-by-step explanation:

a = 13 cm

b = 12 cm

using Pythagorean theorem:

a^2 = b^2 + c^2

--> c^2 = a^2 - b^2 = 13^2 - 12^2 = 169 - 144 = 25

--> c = √25 = 5

The area of that right triangle is:

S = b.c / 2 = 12 . 5 / 2 = 30 (cm^2)

6 0
3 years ago
Helppppppp! 15 points!
Vika [28.1K]

{\boxed{\mathcal{\purple{D.\:81}}}} ✅

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}

( {3})^{ \frac{11}{5} }  \div  {3}^{ \frac{ - 9}{5} }  \\  \\=(  {3})^{ \frac{11}{5} - ( \frac{ - 9}{5} ) }  \\ \\ = ( {3})^{ \frac{11}{5}   +  \frac{9}{5} }  \\ \\ = ( {3})^{ \frac{11 + 9}{5} } \\ \\  = ( {3})^{ \frac{20}{5} }  \\ \\  = ( {3})^{4}  \\ \\ = ( \: 3 \times 3 \times 3 \times 3 \: ) \\ \\ = 81

<u>Note</u>:-

{a}^{m}  \div  {a}^{n}  =  {a}^{m - n}

\sf\red{(-)\:x\:(-)\:=\:+}

\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}

4 0
3 years ago
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