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3 years ago

Simplify [2 (cos 210 + i sin 210)]^2

1 answer:

4 0

2{(cos^210+isin^210)}^2

2(cos^210-sin^10+2i*cos10*sin10)

2(cos20+i*sin20)

cos^2Ф-sin^2Ф=cos2Ф and 2sinФcosФ=sin2Ф here Ф=10°

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Cos2a= 2cos^2a-1 for all values of a<br><br> true or false?

Law Incorporation [45]

True
<span>Cos(A+B)=CosACosB-SinASinB
therefore Cos(A+A)= CosACosA - SinASinA
= Cos^2A - Sin^2A</span>

5 0

4 years ago

Read 2 more answers

A=LW;for L. Solve for the indicated variable. Include all work in the answer.

Otrada [13]

A=LW
A divided by W= L divided by W (cancels out)
Answer: A/W = L

Hope this helps! Can I get brainliest? lol

3 0

3 years ago

Jimmy's backyard is rectangle that is 18 5/6 yards long and 10 2/5 yards wide Jim buy sod in pieces that are 1 1/3 yard long and

g100num [7]

Answer:

111 pieces of soda

Step-by-step explanation:

step 1

Find the area of the rectangular backyard

The area of the rectangular backyard is equal to

$A=LW$

where

$L=18\frac{5}{6}\ yd=\frac{18*6+5}{6}=\frac{113}{6}\ yd$

$W=10\frac{2}{5}\ yd=\frac{10*5+2}{5}=\frac{52}{5}\ yd$

substitute

$A=(\frac{113}{6})(\frac{52}{5})$

$A=\frac{5,876}{30}\ yd^2$

step 2

Find the area of one piece of sod

The area of the rectangular piece of sod is

$A=LW$

where

$L=1\frac{1}{3}\ yd=\frac{1*3+1}{3}=\frac{4}{3}\ yd$

$W=1\frac{1}{3}\ yd=\frac{1*3+1}{3}=\frac{4}{3}\ yd$

substitute

$A=(\frac{4}{3})^2\\\\A=\frac{16}{9}\ yd^2$

step 3

Find the pieces of sod needed

To find out how many whole pieces of sod will Jim need to buy to cover his backyard, divide the area of the backyard by the area of one piece of soda

$\frac{5,876}{30} : \frac{16}{9}=\frac{52,884}{480}=110.175$

Round up

111 pieces of soda

8 0

3 years ago

Richard has a rectangular plot of land that is 525 feet long and y feet wide. He decides to build a fence around the plot. If th

SOVA2 [1]

The perimeter of the figure or polygon is calculated by adding up the value of the sides. In this case,

Perimeter = 2 (length + width)

We are given that the length is equal to 525 ft.
1205 = (2)(525 + y)

The value of y from the equation is 77.5 ft.

Answer: 77.5 ft

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4 years ago

The area of a rectangle is 72 square inches. The length of the rectangle is 8 inches. What is the width of the rectangle?

docker41 [41]

9 square inches, all you had to do was divide it

4 0

3 years ago

Read 2 more answers