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andrezito [222]

3 years ago

11

Abdul is creating a cushion that is 1 foot by 2 feet by 3 feet. He wants to find the least amount of fabric he will need to cove

r the cushion. He starts by drawing the net shown here. A net is formed by 2 rectangles. 1 rectangle has a base of 4 feet and height of 3 feet. The other rectangle has a base of 5 feet and height of 2 feet. What is the least amount of fabric he will need to cover the cushion?

2 answers:

netineya [11]3 years ago

7 0

Answer:

The least amount of fabric are 22 square feet

Step-by-step explanation:

we know that

The surface area of a rectangular prism is given by the formula

$SA=2B+PH$

where

B is the area of the base

P is the perimeter of the base

H is the height of the prism

Let

L ---> the length pf the prism

W ---> the width of the prism

H ---> is the height of the prism

Let

$L=2\ ft\\W=3\ ft\\H=1\ ft$

Find the area of the base

$B=LW=(2)(3)=6\ ft^2$

Find the perimeter of the base

$P=2(L+W)=2(2+3)=10\ ft$

Find the surface area

$SA=2(6)+10(1)=22\ ft^2$

therefore

The least amount of fabric are 22 square feet

Novosadov [1.4K]3 years ago

4 0

Answer:

Abdul will need 22ft of fabric to cover the cushion

Step-by-step explanation:

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Answer:

This is a reasonable decision because the sample size has no effect on the 90% confidence interval

Step-by-step explanation:

90% confidence interval

larger sample size = 20

condition : sample mean ( x-bar ) is the same for both samples

<em>This is a reasonable decision because the sample size has no effect on the 90% confidence interva</em>l

<u>from condition 1 :</u>

Amount of drink dispensed is normally distributed with known standard deviation , given a random sample of n drinks and the sample mean at a confidence interval of 90%

<u>for condition 2 :</u>

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3 years ago

You and your friend are selling magazine subscriptions. You sell 8 fewer magazine subscriptions than your friend. Together you s

horsena [70]

The question is incomplete, here is the complete question:

You and your friend are selling magazine subscriptions. You sell 8 fewer magazine subscriptions than your friend. Together you sell 42 magazine subscriptions. Write a system of linear equations that represents this situation.

The system of linear equations that represents this situation is:

x + y = 42

x - y = 8

Step-by-step explanation:

To solve the problem assume that

x represent the number of magazine subscriptions that your friend sell
y represents the number of magazine subscriptions that you sell

∵ Your friend sells x magazine subscriptions

∵ You sell y magazine subscriptions

∵ Together you sell 42 magazine subscriptions

∴ x + y = 42 ⇒ (1)

∵ You sell 8 fewer magazine subscriptions than your friend

∵ Your friend sells x magazine subscriptions

∵ You sell y magazine subscriptions

- That means y = x - 8

∴ y = x - 8

- Add 8 for both sides

∴ 8 + y = x

- Subtract y from both sides

∴ 8 = x - y

- Switch the two sides

∴ x - y = 8 ⇒ (2)

The system of linear equations that represents this situation is:

x + y = 42

x - y = 8

Learn more:

You can learn more about the system of linear equations in brainly.com/question/6075514

#LearnwithBrainly

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3 years ago

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skelet666 [1.2K]

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Step-by-step explanation:

There are 12 people that Joe is meant to buy for.

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All of them will therefore need:

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= 0.5 * 12

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3 years ago