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neonofarm [45]
2 years ago
7

the length of the rectangle is 2 less than 3 times the width. The perimeter is 12. Find the length and the width.

Mathematics
1 answer:
In-s [12.5K]2 years ago
5 0

width=2
length= 4

explanation in the attached picture
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Find the surface area and volume of the pyramid. ​
serious [3.7K]

Given:

The figure of a square base pyramid.

To find:

The area of volume of the pyramid.

Solution:

The area of square base is:

B=(side)^2

B=(16)^2

B=256

Area of one triangular side of the pyramid is:

A_1=\dfrac{1}{2}\times base\times height

A_1=\dfrac{1}{2}\times 16\times 13

A_1=104

Now, the total surface area of the pyramid is:

A=B+4A_1

A=256+4(104)

A=256+416

A=672

Therefore, the surface area of the pyramid is 672 square m.

The volume of the pyramid is:

V=\dfrac{1}{3}Bh

Where, B is the base area and h is the vertical height of the pyramid.

Substituting B=256,\ h=6, we get

V=\dfrac{1}{3}(256)(h)

V=(256)(2)

V=512

Therefore, the volume of the pyramid is 512 cubic meters.

Hence the correct option is d.

6 0
3 years ago
Please help me with this ASAP I need this badly
AleksandrR [38]

the one on the bottom left

8 0
3 years ago
A doll maker gets paid monthly at a rate of $250 for each doll he completes Last month he made 7 dolls and got halfway through a
tino4ka555 [31]

We know from the given that the person earns 250 dollars for every complete doll that he makes. Since he was only able to make 7 dolls completely, therefore the total money he earned was:

<span>total money = $250 * 7 = $1,750</span>

4 0
3 years ago
Read 2 more answers
A. A container holds 0.500 qt of liquid. How many milliliters of lemonade will it hold?
Nady [450]

Answer:

<em>A container can hold 473.176 ml</em>

<em>42.52 grams is nitrogen. </em>

Step-by-step explanation:

<u>Part A:</u>

We have given that a container holds 0.500 qt . Now we have to find how many milliliters of lemonade it can hold.

We know that 1 qt = 946.353 ml

To find how many milliliters of lemonade a container hold, we have to convert 0.500qt into ml.

As we have mentioned above that 1 qt = 946.353 ml

Multiply the volume value by 946.353 .

0.500 * 946.353

= 473.176 ml

<em>It means a container can hold 473.176 ml</em>

<u>Part B:</u>

Convert the unit oz  to grams. The ratio is 1 ounce is to 28.34 grams.

We have 10.0 oz.

10* 28.34 = 283.495

This would mean 10 oz is equivalent to 283.50 grams. It is given that the fertilizer is 15% by mass nitrogen. It means for every 100 g of fertilizer 15 grams of that is nitrogen. Hence for every 283.50 grams of fertilizer

<em>283.50 * (15/100) = 42.52 grams is nitrogen. </em>

<em></em>

8 0
3 years ago
Help I’m taking a quiz
Nikitich [7]
The answer would be the first one :)
5 0
3 years ago
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