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GrogVix [38]
3 years ago
15

Find AB. Write your answer in the simplest form

Mathematics
1 answer:
charle [14.2K]3 years ago
6 0

Answer:

<h2>a. AB = 24</h2>

Step-by-step explanation:

We have a triangle 45° - 45° - 90°.

Sides are in the ratio 1 : 1 : √2 (<em>look at the picture</em>).

If BC=12\sqrt2 then AB=(12\sqrt2)(\sqrt2)=(12)(2)=24

Used (\sqrt{a})(\sqrt{a})=a

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Write a word phrase for the following algebraic expression<br> 0.5 (y+3.3)
AlladinOne [14]
0.5(y + 3.3)

The product of 0.5 and the sum of y and 3.3.
0.5 times the sum of y and 3.3
6 0
3 years ago
What is the surface area of the triangular prism shown?
Lunna [17]

Answer:

The first step that we are going to do is to solve the area of the top rectangle.  We are given a width of 15 cm and a length of 25 cm so we can just multiply them against each other to get the area.

Area = l * w

Area = 25\ cm * 15\ cm

Area = 375\ cm^2

The second side that we are going to solve for is the bottom rectangle.  We are given a width of 12 cm and a length of 25 cm so lets just multiply them against each other to get the area.

Area = l * w

Area = 25\ cm * 12\ cm

Area = 300\ cm^2

The next area that we are going to determine is the back rectangle which has a width of 9 cm and a length of 25 cm so lets just multiply them against each other to get the area.

Area = l * w

Area = 25\ cm * 9\ cm

Area = 225\ cm^2

The final area that we have to determine are the side triangles.  After determining the area of one triangle we will have to multiply it by 2 to get the area for both of the triangles.  We are given a base of 12 cm and a height of 9 cm so lets just use the formula to find the area.

Area = \frac{1}{2}* b*h

Area = \frac{1}{2}* 12\ cm*9\ cm

Area = 54\ cm^2

Multiply it by two to get the area for both of the triangles.

Area = 54\ cm^2 * 2

Area = 108\ cm^2

Finally, we are onto the last part which is to add up all of the areas and get the surface area after we combine everything.

Area_{total}=375\ cm^2 + 300\ cm^2 + 225\ cm^2 + 108\ cm^2

Area_{total}=1008\ cm^2

Therefore, our final answer is option B, 1008 cm^2

Hope this helps!

4 0
1 year ago
A farmer had two different sized rectangular gardens the smaller garden has. Alr the of 24 feet and width of 9 feet what is the
viva [34]
I don’t understand the wording but if the length is 24 feet and width is 9 feet then
A= l x W
A= 24 x 9
A= 216
3 0
2 years ago
Ralph Chase plans to sell a piece of property for ​$170000. He wants the money to be paid off in two ways monica ​short-term not
natima [27]

Answer:

The amount of 12% note is $90,000

The amount of 9% note is $80,000

Step-by-step explanation:

Missing word <em>"The amount of the 12% note is $ and the amount of the 9% note is $"</em>

<em />

Selling price = $170,000

Let x be the amount of money paid short term, therefore the amount of money paid long term is (170000 - x)

Given total annual interest = $18,000

Total annual interest = Interest due to short term (x) + interest due to long term (170000 - x)

18,000 = 0.12x + 0.09*(170000 - x)

18,000 = 0.12x + 15,300 - 0.09x

18,000 = 0.03x + 15,300

0.03x = 18,000 - 15,300

0.03x = 2,700

x = 2,700/0.03

x = 90,000

So, the amount of 12% note is $90,000

So long term paid money = $170,000 - $90,000 = $80,000

So, the amount of 9% note is $80,000

6 0
2 years ago
You are making flour and water paste. You add 1/4 cup of water to the paste. Your friend adds 1/2 cup of water to the paste. How
Anika [276]
1/4 + 1/2 =
1/4 + 2/4 =
3/4 cups
8 0
3 years ago
Read 2 more answers
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