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Yuri [45]
3 years ago
9

Hundred Metal Spheres with a radius of 4cm each are melted. The melted solution is filled into a cube with a base area of 16cm x

10cm. Find the height of the cube filled with solution.
Mathematics
1 answer:
Anna007 [38]3 years ago
4 0

Answer:

Height = 167.47 cm

Step-by-step explanation:

volume of one sphere = 4/3πr³ = 4/3(3.14)(4³) = 267.9467 cm³

267.9467 cm³ x 100 spheres = 26794.67 cm³

volume of cube = L x W x H

26794.67 = 16 x 10 x H

H = 167.47 cm

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I need help on question 1
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Answer:

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3 years ago
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Farmer planting corn and soybeans: A farmer has a 320 acre farm on which she plants two crops: corn and soybeans. For each acre
tatyana61 [14]

Answer:

Let x represents acres of corn to be planted.

Let y represents acres of soybeans to be planted.

A farmer has a 320 acre farm on which she plants two crops. We get;

x+y\leq 320

Other equations as per scenario becomes:

x\geq 0

y\geq 0

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We have to find the profit. So let the profit be p. We can give this by:

p(x,y)=60x+90y

When we graph these functions, we get the following.

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(140,130) , we get $20,100

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In the graph, we have points (240,180) but this is not possible as x+y\leq 320 so, we have (140,130) to get the maximum profit.

7 0
4 years ago
If 70 and above is considered a passing grade, how many students passed the math test?
Snowcat [4.5K]
<h3>Answer:  D) 8</h3>

Explanation:

The green, light blue, and red bars all indicate scores that are 70 or higher.

We add up the heights of those bars to find out how many people passed.

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So 2+5+1 = 8 people passed.

Unfortunately 2 people (dark blue bar) got below 70 so they didn't pass.

3 0
2 years ago
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