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Hunter-Best [27]
3 years ago
13

Mr. Morris is going to save money and replace his sailboat's mainsail himself. He must determine the area of the mainsail in ord

er to buy the correct amount of material. Calculate the area of the parallelogram to determine how much material should be purchased. Be sure to explain how to decompose this shape into rectangles and triangles. Describe their dimensions and show your work.

Mathematics
1 answer:
e-lub [12.9K]3 years ago
4 0
The decomposition of the parallelogram into triangle then into a rectangle is shown below 

The measurement we need to calculate the area is the length and the width of the rectangle; 15 feet and 10 feet

Area = 15 × 10 = 150 feet²

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Square root of 50 + square root of 18
skelet666 [1.2K]

if ya asking for simpliicatio

remember that \sqrt{ab}=(\sqrt{a})(\sqrt{b})

and

\sqrt{a^2}=(\sqrt{a})(\sqrt{a})=a

\sqrt{50}+\sqrt{18}=

factor

(\sqrt{2})(\sqrt{5})(\sqrt{5})+(\sqrt{2})(\sqrt{3})(\sqrt{3})=

(\sqrt{2})(5)+(\sqrt{2})(3)=

5\sqrt{2}+3\sqrt{2}=

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5 0
3 years ago
answer these BOTH. PLEASE! if u answer both correctly i'll give u brainliest and extra points please please please.
Reil [10]

<u>Answer:</u>

9. x = 12

10. x = 31

<u>Step-by-step explanation:</u>

9. Corresponding angles are equal, so technically you can move that (7x - 20) to be diagonal with the (4x + 16). Along with the corresponding angle, diagonal angles are equal to each other. Therefore you can set (7x - 20) equal to (4x + 16) to find x.

7x - 20 = 4x + 16

Solve

3x - 20 = 16

3x = 36

x = 12

Therefore x is equal to 12

<u>Check:</u>

4(12) + 16

= 64

7(12) - 20

= 64

10. All angles in a triangle have to add up to 180 degrees. Therefore, you can write your equation like this:

x + 2x + 25 + 2x = 180

Combine like terms

5x + 25 = 180

Solve

5x = 155

x = 31

Therefore, x = 31.

<u>Check:</u>

31 + 2(31) + 25 + 2(31) = 180

31 + 62 + 25 + 62 = 180

180 = 180

<em>I hope this helps!!</em>

<em>- Kay :)</em>

<em />

8 0
2 years ago
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Answer:

10. 32 & 37

11. 3 & 4

(っ◔◡◔)っ ♥ Hope It Helps, Please Consider giving Brainliest ♥

(P.S. if you need an explanation just ask in comments)

7 0
3 years ago
In the inequality, 3x&gt;9, can x=3?<br> Yes or no
seraphim [82]

Step-by-step explanation:

no

because it will become

3(3)>9

9>9

it must be more than 9 unless the symbol is

\geqslant

4 0
2 years ago
If x2 + 12x + n is a perfect square trinomial,<br> then n =?
Lelu [443]

Answer:

The answer is n=36 Hope this helps^_^

Step-by-step explanation:

plz give brainliest and rating

8 0
2 years ago
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