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2 years ago

I need to find the area of the shaded region, but I need detailed steps

Mathematics

1 answer:

olasank [31]2 years ago

7 0

The shaded region is a parallelogram.

The formula for the area of any parallelogram is $A=bh$ .

The base of the parallelogram is 2 meters long (given).

The height of the parallelogram is 9 meters (do not be fooled by the unnecessary information of 14 meters)
The height is 9 meters because the height has to be perpendicular to the base. Thus, the side length must be 9 meters.

Multiply them together.

$2 \times 9 = 18$

The area of the parallelogram is 18 square meters.

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Hi, I am new to this website :) I'm currently taking an online trig class on De Moivre's theorem and I don't understand it at al

Vladimir [108]

De Moivre's theorem uses this general formula z = r(cos α + i sin α) that is where we can have the form a + bi. If the given is raised to a certain number, then the r is raised to the same number while the angles are being multiplied by that number.

For 1) [3cos(27))+isin(27)]^5 we first apply the concept I mentioned above where it becomes

[3^5cos(27*5))+isin(27*5)] and then after simplifying we get, [243 (cos (135) + isin (135))]

it is then further simplified to 243 (-1/ √2) + 243i (1/√2) = -243/√2 + 243/√2 i
and that is the answer.

For 2) [2(cos(40))+isin(40)]^6, we apply the same steps in 1)

[2^6(cos(40*6))+isin(40*6)],

[64(cos(240))+isin(240)] = 64 (-1/2) + 64i (-√3 /2)

And the answer is -32 -32 √3 i

Summary:
1) -243/√2 + 243/√2 i
2)-32 -32 √3 i

7 0

2 years ago

Divide. (2x²+17x+28)÷(x+6)

oksian1 [2.3K]

Answer:

2x2+17x+28/x+6

Step-by-step explanation:

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2 years ago

Gunther invested $10,000 in two mutual funds. One of the funds rose 6% in one year and the other rose 9% in one year. If his inv

mote1985 [20]

Answer:

$7200 in the fund rose 6% n $2800 in the fund rose 9%

Step-by-step explanation:

let x be the amount in the fund rose 6%

gain in one year=x*6%=0.06x

total amount is 10000

so amount in the fund rose 9% = 10000-x

gain in one year=(10000-x)*9%=900-0.09x

total gain=0.06x+900-0.09x=900-0.03x

=684

900-684=0.03x

0.03x=216

x=7200

the other fund amount=10000-7200=2800

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2 years ago

Read 2 more answers

There is a large number of cubes in a bag.

Alla [95]

Marked(10)/total = 3/20 (from sample)

total/10 = 20/3 (inverting the above proportion)

total = 10•20/3 = 200/3 ≈ 67

7 0

2 years ago

The length of a rectangle is 7 1/2 inches and the width is 4 3/4 inches. What is the ratio, using whole numbers, of the length t

Mariana [72]

Ratio is a division in its simplest form.
To get the ratio of length to width, divide the two then simplify.

In this case, convert the length and width into decimals.

length = 7 1/2 = 7.5
width 4 3/4 = 4.75

ratio of length to width is;
7.5/4.75 = 750/475

This can now be written as;
750 : 475
Dividing both sides by 25;

= 750/25: 475/25

= 30 : 19

3 0

2 years ago

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