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pychu [463]
2 years ago
13

Can you please help me please I really need help

Mathematics
1 answer:
RoseWind [281]2 years ago
5 0

Answer:

(look below)

Step-by-step explanation:

i used to do ixl so heres an appropriate answer:

1    21

3   63

5   105

7    147

:3

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The hopper bin in the picture below is modeled by the two-dimensional figure beside it. The hopper bin is
Zepler [3.9K]

The volume of the hopper bin is the amount of feed in it

  • The volume of the hopper bin is 35974 cubic feet
  • The carnival tent can be filled to 85% of its volume and not exceed the weight limit

<h3>The volume of the hopper bin</h3>

The given parameters are:

  • Height of cylinder, H = 20 ft
  • Diameter of cylinder, D = 36 feet
  • Angle, θ = 52°

Start by calculating the radius (r) of the cones.

r = D/2 -------- because the cones and the cylinder have equal diameters.

So, we have:

r = 36/2 = 18

The height (h) of the cones is:

tan(θ) = h/r

This gives

tan(52) = h/18

Make h the subject

h = 18 * tan(52)

Evaluate

h = 23.04

The volume is then calculated as:

Volume = Volume of cylinder + 2 * Volume of cone

This gives

Volume = πr^2H + 2 * 1/3πr^2h

Volume = πr^2H + 2/3πr^2h

Factor out πr^2

Volume = πr^2(H + 2/3h)

Substitute known values

Volume = 3.14 * 18^2 * (20 + 2/3 * 23.04)

Evaluate

Volume = 35973.85 cubic feet

Hence, the volume of the hopper bin is 35974 cubic feet

<h3>The weight limit of the hopper bin</h3>

The given parameters are:

  • Maximum weight = 500000 pounds
  • Feed weight = 22 pounds per cubic feet

For a feed that weighs 22 pounds per cubic feet, the weight of the hopper bin would be:

Weight = 22 * 35974 pounds

Weight = 791428 pounds

At 85% full, the weight wuld be:

Weight = 85% * 791428 pounds

Weight = 672713.8 pounds

672713.8 pounds is greater than the weight limit of 500000 pounds.

Hence, the carnival tent can be filled to 85% of its volume and not exceed the weight limit

Read more about volumes at:

brainly.com/question/3989169

4 0
2 years ago
Evaluate the function y= -3 (1/4) for x =-3 on top of the 1/4 is where the x goes. so it is 1/4 x
earnstyle [38]

\text{Consider the function}\\&#10;\\&#10;y=-3\left ( \frac{1}{4} \right )^x\\&#10;\\&#10;\text{now to evaluate the value of the function at }x=-3, \text{ we substitute}\\&#10;x=-3 \text{ in the given function and solve further for y.}\\&#10;\\&#10;\text{so we get}\\&#10;\\&#10;y=-3\left ( \frac{1}{4} \right )^{-3}\\&#10;\\&#10;\text{now using the exponent property, }\left ( \frac{1}{a} \right )^{-m}=(a)^m, \text{ we get}\\&#10;\\&#10;y=-3(4)^{3}\\&#10;\\&#10;\Rightarrow y=-3(64)\\&#10;\\&#10;\Rightarrow y=-192

so the value of the function at x=-3 is -192

7 0
3 years ago
PLEASE HELPPP, ITS DUE IN 1 HOUR!! I WILL GIVE BRAINLIEST!! LINKS=REPORT
Elis [28]

Answer:

3=6

4=8

5=10

6=12

graph 1

Step-by-step explanation:

8 0
3 years ago
Graph the function g(x) =x^2+4x+1
gladu [14]

Answer:

Step-by-step explanation:

Let's "complete the square," which will give us the vertex of this vertical, opens-up parabola:

g(x) =x^2+4x+1 can be rewritten as g(x) =x^2+4x + 4 - 4 +1, where that +4 comes from squaring half of the coefficient of x.

Then we have   g(x) =x^2+4x + 4 - 4 + 1  =>  g(x) = (x + 2)^2 - 3.

Comparing this to                                             y   = (x - h)^2 + k,

we see that the vertex, (h, k), is located at (-2, -3).

Plot this vertex.  Also, plot the y-intercept (0, g(0) ), which is (0, 1).

This information is enough to permit graphing the function roughly.

6 0
3 years ago
Find the volume of this triangular prism.<br> 6 cm<br> 10 cm<br> 7 cm
lapo4ka [179]

Answer: The volume of the triangular prism would be 210.

Step-by-step explanation: Formula:

Volume of a triangular prism = (1/2) x Base area x Height

or

V = 1/2 x B x H

Find the Base area = l x w

Base area = (10 x 7) 70

Base area = 70 sq.m

V = (1/2) x (70) x 6

V = 210

HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS .

7 0
2 years ago
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