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miss Akunina [59]
4 years ago
15

Haley used unit cubes to build a rectangular prism that is 5 units long, 3 units wide, and 4 units tall. Jeremiah used unit cube

s to build a rectangular prism that has twice the volume of Haley's prism. Jeremiah's prism is 4 units long and 3 units wide. How tall is Jeremiah's prism?
Mathematics
1 answer:
ad-work [718]4 years ago
8 0

Answer:

10 units

Step-by-step explanation:

Let us find the volume of Haley's prism and compare it with the volume of Jeremiah's.

The volume of Haley's prism is:

V = 5 * 3 * 4 = 60 cubic units

Jeremiah's prism has twice the volume of Haley's:

V(J) = 2 * 60 = 120 cubic units

This implies that:

120 = 4 * 3 * h

where h = height of prism

=> 120 = 12h

=> h = 120 / 12 = 10 units

Jeremiah's prism is 10 units tall.

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Frank's been traveling a lot lately as part of his job. During the past 30 days, he's been out of town 18 days. What fraction re
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Answer:

18/30

Step-by-step explanation:

He has been out of town 18 out of the 30 days. You can simplify this to 6/10.

3 0
3 years ago
An open-top box is being designed by cutting a corner piece out of a 16" by 14" piece of metal and folding the sides upwards. Th
Aleksandr-060686 [28]

Answer:

The strip of 16 by 14 inches.

Let x be the corner of the square cut

Then the box would have height as x, length 16-2x and width 14-2x

Hence volume =  

Use derivative to test to find x for maximum volume

V'(x) =  

v"(x) =  

Equate first derivative to 0

Solutions are

x= 2.483 and x = 7.517

Practically cutting more than 7 inches is not possible from 14 inches dimention

Hence 2.483 is the side of square and maximum volume

= 247.508

Step-by-step explanation:

Hope this helps!

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4 years ago
A salesperson receives a weekly salary plus a commission for each
boyakko [2]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
WIL GIVE BRAINLIEST IF ANSWER FAST! Evaluate the expression 7x2y, when x = 4 and y = 2. 112 224 542 718
avanturin [10]

Answer:

224

Step-by-step explanation:

Substitute x = 4 and y = 2 into the expression and evaluate

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4 0
3 years ago
Justin builds a triangular fenced area for his dog called Triangle ABC. If AB = 17 ft and BC = 8ft, and angle C is a right angle
Anika [276]

The missing side of the fence measures 15 ft

The perimeter of the fence is 40 ft

The area inside the fenced in section is 60 ft²

The fence is triangular and a right triangle.

<h3>Right triangle:</h3>

A right triangle has one of its angle as 90 degrees. Therefore, the sides can be found using Pythagoras theorem.

c² = a² + b²

17² - 8² = b²

b = 15 ft

AC = 15 ft

perimeter of the triangle = 15 + 8 + 17 = 40 ft

Area of the triangle = 1 / 2 × 15 × 8 = 60 ft²

Therefore,

The missing side of the fence measures 15 ft

The perimeter of the fence is 40 ft

The area inside the fenced in section is 60 ft²

learn more on right angle triangle here; brainly.com/question/2192748

8 0
2 years ago
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