Answer:
a) 11%
b) 56%
Step-by-step explanation:
a) A= πr^2 6^2π= 36π A= 18^2π = 324π
36π/324π = .111111111111111111111111 or 11%
remember to cancel out the pi symbols when you are showing your work
(put a line across the pi symbols when dividing)
b) A= πr^2 18^2 π = 324π
A= πr^2 12^2π = 144π
324 – 144 = 180
180π/324π = .5555555555555555555555556 or 56%
remember to cancel out the pi symbols when you are showing your work
(put a line across the pi symbols when dividing)
Answer:
x = 8
Step-by-step explanation:
Complimentary angles are angles that add up to 90 degrees. If ABC and DBC are complimentary, then when added together, it equals 90 degrees.
ABC + DBC = 90
6x+13+4x−3 = 90
10x+10 = 90
10x = 80
x = 8
<u>Step 1</u>
Convert mixed fractions into fractions
6 2/5 = (6*5)+2) / 5 = 32/5
2 2/3 = (2*3)+2) / 3 = 8/3
<u>Step 2</u>
32/5 ÷ 8 / 3 ; where 32/5 is the 1st fraction and 8/3 is the 2nd fraction
<u>Step 2 (A)</u>
Get the reciprocal of the 2nd fraction:
From 8/3 to 3/8
<u>Step 2 (B)</u>
Multiply 1st fraction to the reciprocal of the 2nd fraction
32/5 * 3/8 = (32*3) / (5*8) = 96/40
<u>Step 2 (C)</u>
Simplify the fraction
96/40 divide by 4 will become 24/10
24/10 divide 2 will become 12/5. The simplest fraction of 96/40
The unit rate is 12/5 = 2 2/5 revolutions per second
612.00 in scientific notation is 6.12×10^2
Answer:
x=121
Step-by-step explanation:
√x+1-4=8
1) Combine alike terms:
√x-3=8
2) Add 3 to both sides:
√x=11
3) Cancel the <u>square root</u> by squaring both sides:
x=121
