MATHEMATICS MIDDLE SCHOOL

0 is in quadrant III and cos^2 0=1/4

Answers

Answer 1

Answer:

Answer:

θ = 240

and

cos(θ) = -0.5

Step-by-step explanation:

Theta is in the third quadrant, that meansit goes from 180 to 270 degrees

Then,

cos^2 (θ) =1/4

cos (θ) = ± 1/2

θ = arccos(0.5)

θ = 60

But in the third quadrant

θ = 180 + 60 = 240

θ = 240

and

cos(θ) = -0.5

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Don borrowed money from the bank to finish his garage. he borrowed 900 dollars for one year. he has to pay 9% simple interest in loan

Answers

I =Prt

I = ?

P= 900

R= 0.09

T = 1

I = 900(0.09)(1)

I = 81

Don has to pay $81 dollars SI in his loan

Number like 10,100,1000,and so on are called____

Answers

If you mean 10;100;1,000, then they are called Powers of ten, and they're easy to represent as exponents.

Solve for t in the equation below

Answers

Anything raised to the zero is 1... so it doesn't really matter what is in the parentheses, because it's all raised to the zero and equals 1. That means..

(t^1/3 - t^5/3 + t^3/4)^0 = 2 root t

is the same as

1 = 2 root t square both sides
1^2 = (2 root t)^2
1 = 4t divide each side by 4

1/4 = t

What is 3264 in expanded form

Answers

3,000+200+60+4 is the answer

3,000+200+60+4

hope this helps.

A circle with area 100 pie has a sector with a central angle of 2/5pi radius

Answers

The area of the sector is 20π.

Step-by-step explanation:

The area of the circle = 100π
The formula for area of the circle = πr²
The central angle of the sector = (2/5)π radians

The central angle should be converted from radians to degrees.

To convert radian to degree :

1 rad × 180/π gives the degree value.

Therefore, (2/5)π × 180/π = (2/5) × 180

The π gets cancelled out.

⇒ 2× 36

⇒ 72°

To find the area of the sector :

The formula to calculate area of the sector = (central angle/360) × πr²

⇒ (72/360) × 100π

⇒ (1/5) × 100π

⇒ 20π

The area of the sector is 20π.

What is 1024 written as a power of a number?

Answers

factor 1024
1024=2*2*2*2*2*2*2*2*2*2=2^10 (means 2 times itself 10 times)

the options re
A. 4^5
B. 512^2
C.254^4
D. 5^4
see if any of them can be simplified to 2^10

we know that
$x^{m^(n) } = x^(mn)$
so
4^5=(2^2)^5=2^(2*5)=2^10
true

he answer is A. 4^5

Your asnwer is

4^5

Why?

Because,

4^5 = 4 × 4 × 4 × 4 × 4 = 1024
4^5 = 1024

1024 written as a power of a number is 4^5.

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