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:
<u>y = 6 x=8</u>
Step-by-step explanation:
(3х + 5y = 54)-2 times by -2
6х +4y = 72
-6х + -10y = -108 now combine the equations
6х + 4y = 72
-6y = -36 now divide
y = 6
Plug 6 in 6х +4 * 6 = 72
x=8
At every 1.0 unit, boiling point decreases 1.8 unit, which means the slope m = -1.8.
Answer:

Step-by-step explanation:
We can prove that a tangent will always be perpendicular to the radius touching it. So, the other angle in the diagram is
.
Because all the angles of a triangle sum to
, we have that
.
We combine like terms on the left side to get
.
We subtract
on both sides to get
.
So,
and we're done!
<u>Given</u>:
Given that the bases of the trapezoid are 21 and 27.
The midsegment of the trapezoid is 5x - 1.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trapezoid midsegment theorem.
Applying the theorem, we have;

where b₁ and b₂ are the bases of the trapezoid.
Substituting Midsegment = 5x - 1, b₁ = 21 and b₂ = 27, we get;

Multiplying both sides of the equation by 2, we have;

Simplifying, we have;

Adding both sides of the equation by 2, we get;

Dividing both sides of the equation by 10, we have;

Thus, the value of x is 5.