PLEASE HELP! 8 POINTS!! Find the value

Mathematics

1 answer:

Pepsi [2]3 years ago

5 0

Answer:

-sqrt(3)/2

Step-by-step explanation:

Use double angle identity for sin(2x)

sin(2x)=2sin(x)cos(x)

We are given sin(x)=-1/2 so we already have so far that:

sin(2x)=2(-1/2)cos(x)

sin(2x)=-1*cos(x)

We just need to find cos(x).

x is in the fourth quadrant so cosine will be positive there

knowing the unit circle we should know that if sin(x)=-1/2 then cos(x)=sqrt(3)/2 while in 4th quadrant.

So the answer is sin(2x)=-1*sqrt(3)/2=-sqrt(3)/2

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According to a certain central bank from 2000 to 2016 the average price of a new home in a certain region increased by 62 % to $

Alla [95]

Answer: $ 290 thousand

Step-by-step explanation:

Given : According to a certain central bank from 2000 to 2016 the average price of a new home in a certain region increased by 62 % to $470 thousand.

Let X be the the average price of a new home in 2000 .

Then , the 62 % increase in price is given by :-

$x+0.62(x)=x(1+0.62)=1.62x$

Since , the the average price of the home in 2016 = $470 thosand

$1.62x=470\\\\\Rightarrow\ x=\dfrac{470}{1.62}=290.12345679\approx290$

Hence, the average price of a new home in 2000 = $ 290 thousand .

3 0

3 years ago

Six - two times twelve plus five

fomenos

Answer:

Ok, so the equation would be 6-2*12+5. The answer to that is -13.

Step-by-Step Explanation:

You would use PEMDAS. First, you multiply 2 and 12 and that's 24. Now your equation is 6-24+5. Then you subtract 6 and 24 and that's -18. Now your equation is -18+5, and the answer to that equation is -13. I hope this helps you!!

6 0

2 years ago

A _______________________ is a comparison of two measurements in which the denominator has a value of one unit.

Galina-37 [17]

I think the answer is unit rate.

8 0

4 years ago

Plz I need help on this

e-lub [12.9K]

Y-intercept = -5
slope = 5/2

Answer:
G

3 0

3 years ago