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Eddi Din [679]
2 years ago
14

The Farmer Supply is building storage building for fertilizer shaped top. The that has cylindrica base and cone county laws say

that the storage building must have maximum maximum height of 14 feet. Width of 8 feet and trucks deliver fertilizer in loads that are feet tall; feet wide, and 12 feet long_ Farmer Supply Dump wants t0 be able to store dump-truck loads of fertilizer: and height of the cone, h2 that Farmer Supply should use in Determine height of the cylinder; h1 will be able to store at least two dump-truck loads of fertilizer: the design: Show that your design Enter your answer and your work in the space provided
Mathematics
1 answer:
creativ13 [48]2 years ago
7 0

Assuming  ℎ1 = 11 feet and ℎ 2 = 3 feet, the storage of the facility is going to be 603 cubic feet, which is more than 576 cubic feet

The diameter of the building has been given as 8cm

radius = d/2 = 8/2 = 4

Maximum height = h1 + h2 = 14

Find the volume of the fertilizer that is containeed in both of the trucks

2(12x4x6) = 576 feet

From the height of 14 feets we have to assume

h1 = 11 ft,

h2 = 3 ft

<h3>How to solve for volume</h3>

volume =\frac{1}{3} \pi r^{2} h2 + \pi r^{2} h1

= 0.333*3.14*4²*3 + 3.14*4²*11

= 602.8 ft ≈ 603

Read more on volume here: brainly.com/question/12410983

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Kay [80]

Answer:

#5: 180 paperclips in total.

#6: 126 stamps in total.

#7: Elena should give Lucy 15 colored pencils.

Step-by-step explanation:

This explanation solves each question by setting a single unknown, x.

<h3>#5</h3>

Let x the initial number of paperclips of Antonio. That should also be the number of Abby's paperclips.

Initially:

  • Antonio: x paperclips;
  • Abby: x paperclips.

Antonio gives 30 paperclips to Abby. After that,

  • Antonio: (x - 30) paperclips;
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Abby now possess twice as many paperclips as Antonio does. In other words,

2(x - 30) = x + 30.

By the distributive property:

2x - 60 = x + 30.

Substract x - 60 from both sides

x = 30 - (-60) = 90.

Both Antonio and Abby initially possess 90 paperclips. That's 180 in total.

<h3>#6</h3>

Similarly, let x be the number of Emily's stamps. That should be the same as the number of Jasmine's stamps.

Initially:

  • Emily: x stamps;
  • Jasmine: x stamps.

After Emily gives 42 stamps to Jasmine:

  • Emily: x-42 stamps;
  • Jasmine: x+42 stamps.

Jasmine now possesses twice as many stamps as Emily does. In other words,

2(x-42) = x+42.

x = 42 + 2\times 42 = 126.

Jasmine used to possess 126 stamps. Now she possesses 126 + 42 = 168 stamps after receiving 42 stamps from Emily.

<h3>#7</h3>

Let the number of pencils that Elena needs to give to Lucy be x.

Initially:

  • Elena: 60 pencils;
  • Lucy: 26 pencils.

After Elena gives x pencils to Lucy:

  • Elena: 60 - x pencils;
  • Lucy: 26 + x pencils.

Elena should now possess four more pencils than Lucy does. In other words,

\underbrace{60 - x}_{\text{Elena's}} = \underbrace{(26 + x)}_{\text{Lucy's}} +4.

2x = 30.

x = 15.

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2 years ago
Simple math equation but in not very bright in the head, help would be appreciated :)
algol [13]

Answer:

AA similarity

Step-by-step explanation:

Using angle sum theorem, you can clearly find out the missing angles on the left and right triangles are 40° and 50° respectively.

Therefore, by using any two angles in the triangles, you can prove they are similar by AA similarity.

4 0
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nexus9112 [7]
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A cake shop can make 240 boxes of cakes for 8 days. How many cakes can the shop make in 12 days?​
denpristay [2]

Answer:

<h2>360 cakes</h2>

Step-by-step explanation:

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