X/8 > 2÷(3+4+1)×2 can be simplified as:
x/8 > 2÷(3+4+1)×2
= x/8 > 1÷(3+4+1)
= x/8 > 1÷(8)
= x/8 > 1/8
= x > 1
As shown in the attached picture, the red shaded part is the graph of x>1
9514 1404 393
Answer:
24
Step-by-step explanation:
The product of lengths from the point where the secants meet to the near and far circle intersection points is the same for both secants.
RQ·RC = RS·RT
8(27) = (3x)(8x)
9 = x^2 . . . . . . . . . divide by 24
3 = x
Then the length of interest is ...
TR = 8x = 8·3
TR = 24
Answer:
x = 16
Step-by-step explanation:
(x +4) : (x +12) :: (x-1)(x +5)
As they are in proportion,
Product of means = Product of extremes
(x + 4)* (x +5) = (x + 12)(x - 1) {Use FOIL method}
x*x +x*5 +4*x + 4*5 = x *x + x*(-1) +12*x + 12*(-1)
x² + <u>5x + 4x</u> + 20 = x² <u>- x +12x</u> - 12 {Now combine like terms}
x² + 9x + 20 = x² + 11x -12
x² + 9x +20 - x² - 11x = -12
x² - x² + 9x - 11x = -12 - 20
0 - 2x = - 32
-2x = -32 {Divide both sides by -2}
x = -32/-2
x = 16
To find the approximate volume of the volcano, you will use the formula for finding the volume of a cone.
V = 1/3 x pi x r^2 x h
1/3 x 3.14 x 8^2 x 1.95
V = 130.624
The approximate volume of the volcano is 131 cubic kilometers.
Point A is on the 4th circle from the center, each circle has a radius of 1, so the 4th circle has a radius of 4. The point is also on the angle labeled 5PI/6.
The polar coordinate would be (4, 5PI/6)
Point C, you are given (-3,pi/3)
Because the radius is positive find the 3rd circle, which would be r = 3, Then find where PI/3 is on the circle and find the value opposite that which is 4pi/3
