It’s a grouping of linear(straight line)equations that deal with the same variables. Hope that helped?
Volume is Length x width x height divided by 3. You have the length and the width. which equals 24. (6x4). The volume that is present is 72... the last thing you do in the equation is divide by three so multiply 72 by 3 and get 216. This is the LxWxH. Like I said before you have the L and the W, which is 24. You would divide 24 from 216. The Height is 9cm.
Hi there.
These two angles sum up to be 180 degrees, so they are supplementary angles. Now, since these angles sum up to 180 degrees (to form a straight line), we only have to subtract 133 from 180 to find angle 2's measurement.
180 - 133 = 47
Angle 2's measurement is 47 degrees.
Voila!
I hope this helps! Have a great day. :)
Answer: 
is the logarithmic equation which is equivalent to
.
Step-by-step explanation:
According to the laws of logarithms
,where b=base ,n,x all are positive
It can be written in exponential form such as
Now in the given question x=9 ,b=3 and n=2 such that it will equals to
Hence the logarithmic equation for is.
Answer:
(1) 2π - x² = 0 (2) x = 2.5 cm (3) perimeter = 10 cm
Step-by-step explanation:
(1)The area of the circular coin without the inner square removed is πr² where r = 3 cm is the radius of the coin. So, the area of the coin without the inner square removed is πr² = π(3 cm)² = 9π cm²
The area of the square of x sides removed from its center is x².
The area A of the each face of the coin is thus A = 9π - x²
Since the area of each face of the coin A = 7π cm²,
then
7π = 9π - x²
9π - 7π - x² = 0
2π - x² = 0
(2) Solve the equation 2π - x² = 0
2π - x² = 0
x² = 2π
x = ±√(2π)
x = ± 2.51 cm
Since x cannot be negative, we take the positive answer.
So, x = 2.51 cm
≅ 2.5 cm
(3) Find the perimeter of the square
The perimeter of the square, p is given by p = 4x
p = 4 × 2.51 cm
= 10.04 cm
≅ 10 cm
