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3 years ago

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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Can someone please help with #16

ollegr [7]

Answer:

∠ WZX = 50°

XW is not an altitude.

Step-by-step explanation:

16. See the attached figure.

XW is the angle bisector of ∠ YXZ, hence, ∠ WXY = ∠ WXZ

Now, given that ∠ YXZ = 8x + 34 and ∠ WXY = 10x - 13

Hence, ∠ YXZ = 2 ∠ WXY

⇒ 8x + 34 = 2(10x - 13)

⇒ 8x + 34 = 20x - 26

⇒ 12x = 60

⇒ x = 5.

Hence, ∠ XZY = ∠ WZX = 10x = 50° (Answer)

Now, ∠ WXZ = ∠ WXY = 10x - 13 = 37°

Hence, from Δ WXZ,

∠ WZX + ∠ WXZ + ∠ XWZ = 180°

⇒ 50° + 37° + ∠ XWZ = 180°

⇒ ∠ XWZ = 93° ≠ 90°

Hence, XW is not an altitude. (Answer)

6 0

3 years ago

Find the difference: -10 - (-6) = A. -4 B. -16 C. +4 D. +16

Tatiana [17]

Answer:

-10-(-6) = -10+6 = -4; A

Step-by-step explanation:

3 0

2 years ago

Lucia is wrapping packages that are in the shape of a triangular prism. The net of the prism is shown below: ( Help me answer th

solniwko [45]

Answer:

The total surface area of all 6 prisms is 6336 in^2.

Step-by-step explanation:

Let's find the surface area of ONE prism and then multiply that result by 6 to obtain the final answer.

One prism:

The area of the two 13 in by 26 in rectangular tabs is 2(13 in)(26 in), or 676 in^2 (subtotal);

The area of the two triangles of base 10 in and height 12 in is 2([1/2][10 in][12 in], or 120 in^2; and, finally,

The area of the 10 in by 26 in base is 260 in^2.

The total surface area of ONE prism is thus:

676 in^2 + 120 in^2 + 260 in^2, or 1056 in^2.

Now, because there are 6 of these prisms, multiply this last result by 6:

6(1056 in^2) = 6336 in^2.

The total surface area of all 6 prisms is 6336 in^2.

7 0

3 years ago

Y = 2x - 8 3x - 2y = 13

SSSSS [86.1K]

Answer:

{x,y} = {3,-2}

Step-by-step explanation:

// Solve equation [1] for the variable y

[1] y = 2x - 8

// Plug this in for variable y in equation [2]

[2] 3x - 2•(2x-8) = 13

[2] -x = -3

// Solve equation [2] for the variable x

[2] x = 3

// By now we know this much :

x = 3

y = 2x-8

// Use the x value to solve for y

y = 2(3)-8 = -2

Solution :

{x,y} = {3,-2}

8 0

3 years ago

In Exercise,find the balance in the account after 10 years.

Vesnalui [34]

Answer: $ 3462.03

Step-by-step explanation:

The exponential equation for growth (compounded continuously) is given by :-

$A=Pe^{rt}$

, where P= Present value

r= growth rate ( in decimal)

t= time

As per given , we have

P=$1900, r = 6% =0.06 and t= 10

Substitute all the values in the above equation , we get

$A=1900e^{0.06(10)}$

$A=1900e^{0.6}$

$A=1900(1.8221188)=3462.02572\approx3462.03$ [To the nearest cent]

Hence, the balance in the account after 10 years = $ 3462.03

3 0

3 years ago