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torisob [31]
3 years ago
8

Please help, will mark brainliest!

Mathematics
1 answer:
Ugo [173]3 years ago
5 0

Answer:

-1/6 and 1 1/6

I included an image showing the points to select, in red and the point we start at, in blue.

Step-by-step explanation:

We need to get the numbers they tell us (2/3 & 1/2) to have the same denominators as the numbers on the number line before we can start.

1/2 is just the simplified form of 3/6 and 2/3 is just the simplified form of 4/6.

So 1/2 is actually 3/6 on the number line.

Now we need to find the numbers that are 2/3 (or 4/6) unit away from 3/6.

Count 4 units to the right and 4 to the left of 3/6 to get the numbers we are looking for.

These numbers are -1/6 and 1 1/6

I hope this helps!!

Lmk if u have any questions! :)

Pic is attached below.


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The formula for volume is length × width × height, so this is the same as area of cross section × height. So, if the base of the rectangular prism (the cross section) has an area of 48 square feet, then 48 × the height = 192 cubic feet. Working backwards, we can find out the height (h will stand for height):
48×h=192
h=192÷48
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Therefore, the height of the rectangular prism is 4 feet
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Jane says that both of these shapes are cones because they have one circular base and one vertex. do you agree? why or why not?
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The statement is true, the shapes are cones because they have one circular base and one vertex.

<h3>What is a cone?</h3>

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2 years ago
Charlie's garage has a rectangular floor space. Its length is 3 times its width. Charlie extends the width of his garage to 6 m,
MAXImum [283]

Answer:

The percentage change is 140%

Step-by-step explanation:

Given

L= 3W_1 ---- initial dimension

W_2 = 6m --- new width

A_2 = 45m^2 --- new dimension

Required

The percentage increment

The length remains constant because only the width is extended.

The new area is:

Area =Length * Width

A_2=L * W_2

Make L the subject

L = \frac{A_2}{ W_2}

Substitute values for A and W

L = \frac{45m^2}{6m}

L = \frac{45m}{6}

L = 7.5m --- this is the length of the garden

Calculate the initial width:

L= 3W_1

Make W1 the subject

W_1 = \frac{1}{3} * L

W_1 = \frac{1}{3} * 7.5

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So, the initial area is:

A_1 = L_1 * W_1

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\%A = \frac{A_2 - A_1}{A_1}

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Express as percentage

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3 years ago
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