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Olin [163]
3 years ago
10

Which answers describe the shape below? Check all that apply.

Mathematics
1 answer:
My name is Ann [436]3 years ago
8 0

Answer:

E and C

Step-by-step explanation:

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A factory makes light fixtures with right regular hexagonal prisms where the edge of a hexagonal base measures 4 cm and the leng
chubhunter [2.5K]

The maximum length of the prism is highest length of the hexagonal prism

The maximum length of each prism is 8.0 cm

<h3>How to determine the maximum length of each prism?</h3>

The surface area of the hexagonal prism is calculated using:

A = 6al + 3\sqrt3 a^2

Where:

a represents the edge length; a = 4 cm

l represents the length (or height) of the prism

The surface area costs $0.04 per square centimeter.

So, we have:

C = 0.04 * [6al + 3\sqrt3 a^2]

The maximum cost is $11.

So, the equation becomes

11 = 0.04 * [6al + 3\sqrt3 a^2]

Substitute 4 for a

11 = 0.04 * [6 * 4l + 3\sqrt3 * 4^2]

Evaluate the products and exponents

11 = 0.04 * [24l + 48\sqrt3]

Divide both sides by 0.04

275 = 24l + 48\sqrt3

Subtract 48\sqrt3 from both sides

24l = 275 - 48\sqrt3

Evaluate the difference

24l = 191.9

Divide both sides by 24

l = 8.0

Hence, the maximum length of each prism is 8.0 cm

Read more about surface areas at:

brainly.com/question/6613758

6 0
2 years ago
What’s the correct why to solve
Vaselesa [24]

x^2-y^2=2\\ \underline{x^2+y^2=4}\\\\ 2x^2=6\\ x^2=3\\ x=-\sqrt3 \vee x=\sqrt3\\\\ 3+y^2=4\\ y^2=1\\ y=-1 \vee y=1\\\\ x\in\{(-\sqrt3,-1),(-\sqrt3,1),(\sqrt3,-1),(\sqrt3,1)\}

So, there are 4 solutions.

6 0
3 years ago
The figure shows the dimensions of the side of a house. Find the area of the side of the house.
vladimir1956 [14]

Answer:

Answer is 75cm squared.

Step-by-step explanation:

10x15 = 150

divide by 2

final answer is 75.

6 0
3 years ago
Read 2 more answers
A newsletter publisher believes that less than 49% of their readers own a laptop. For marketing purposes, a potential advertiser
Zepler [3.9K]

Answer:

The answer is "At the 0,10 level, there should be enough proof that the percentage is below 49%"

Step-by-step explanation:

Null and alternative hypothesis:

H_0 :P \geq 0.49\\\\H_1:P

Significance level: \alpha = 0.10

It is decided that the null hypothesis at the defined meaning level is rejected.

5 0
3 years ago
How to solve 2(x+7)=-4x+14
Temka [501]

Answer:

distribute the 2 on the left side to become 2(x+7)-->2x+14=-4x+14, add 4x to both sides to become 2x+14+4x=-4x+14+4x-->6x+14=14, subtract 14 from both sides 6x+14-14=14-14-->6x=0 and divide both sides of the equation by 6 to get x alone, 6x/6=0/6-->x=0 so x would equal 0.

Step-by-step explanation:

8 0
3 years ago
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