Answer:
7x+21 = 7x + 21
Step-by-step explanation:
7(x+3)=6-(-7x - 15)
L.H.S
=7(x+3)
=7x+21 (multiply 7 by (x+3))
R.H.S:
=6-(-7x - 15)
= 6+7x+15 (multiply the -ive sign in the bracket)
= 7x + 21 ( adding 15 and 6)
now compare the two sides
7x+21 = 7x + 21 hence we prove that L.H.S= R.H.S
Answer:
65/140
as a percentage is 46.43
hundredth rounding
46.4
Step-by-step explanation:
I'll do Problem 8 to get you started
a = 4 and c = 7 are the two given sides
Use these values in the pythagorean theorem to find side b

With respect to reference angle A, we have:
- opposite side = a = 4
- adjacent side = b =

- hypotenuse = c = 7
Now let's compute the 6 trig ratios for the angle A.
We'll start with the sine ratio which is opposite over hypotenuse.

Then cosine which is adjacent over hypotenuse

Tangent is the ratio of opposite over adjacent

Rationalizing the denominator may be optional, so I would ask your teacher for clarification.
So far we've taken care of 3 trig functions. The remaining 3 are reciprocals of the ones mentioned so far.
- cosecant, abbreviated as csc, is the reciprocal of sine
- secant, abbreviated as sec, is the reciprocal of cosine
- cotangent, abbreviated as cot, is the reciprocal of tangent
So we'll flip the fraction of each like so:

------------------------------------------------------
Summary:
The missing side is 
The 6 trig functions have these results

Rationalizing the denominator may be optional, but I would ask your teacher to be sure.
Answer:
3 boxes
Step-by-step explanation:
First, we need to find the area of the whole square, so we can find out how much to subtract from. We can easily do this by multiplying 16 by 16, since it is a square.
16*16=256 square feet.
Now, we just need to find the area of the circular rug, and subtract it from 256 to find the area not covered by the rug that needs to be tiled. Since the sides of the rug touch each side of the floor, than the diameter will be the same as the side length of the square. Thus, the diameter is 16.
Now we can use the equation <em>A=pir^2 </em>or <em>Area=pi*radius squared</em> to find the area of the circle. The radius is halve of the diameter, so divide 16 by 2 to get the radius, or 8. Now all we have to do is square 8 and multiply it by 3.14.
8^2=64
Now multiply.
64*3.14=200.96.
The area of the circle is 200.96, so subtract 200.96 from 256.
256-200.96=55.04.
So they will need 3 boxes to cover the area left.
Hope this helps!