10%of 710 is 71
now we have 710-71=639
Answer:
(36π -72) cm²
Step-by-step explanation:
The area of a segment that subtends arc α (in radians) is given by ...
A = (1/2)r²·(α - sin(α))
Here, you have r = 12 cm and α = π/2 radians, so the area of the segment is ...
A = (1/2)(12 cm)²·(π/2 -1) = (36π -72) cm²
Answer:
The value of rate per annum is R = 12.5 %
Step-by-step explanation:
Principal amount = 576
Interest = 153
Amount after 2 years = 576 + 153 = 729
We know that
![A = P [1 + \frac{R}{100} ] ^{T}](https://tex.z-dn.net/?f=A%20%3D%20P%20%5B1%20%2B%20%5Cfrac%7BR%7D%7B100%7D%20%5D%20%5E%7BT%7D)
Put all the values in above equation
![729 = 576 [1 + \frac{R}{100} ]^{2}](https://tex.z-dn.net/?f=729%20%3D%20576%20%5B1%20%2B%20%5Cfrac%7BR%7D%7B100%7D%20%5D%5E%7B2%7D)

R = 12.5 %
This is the value of rate per annum.
{-4x+7y+5=-5
{0x-3y=-5 Solve the equation.
{-4x+7y+5=-5
{y=5/3 Substitute the value of y.
-4x+7(5/3)+5=-5 Plug in and solve.
x=65/12 You should get this answer.
Therefore: (x,y) = (65/12,5/3)
Answer:
The plates will not fit into the box.
Step-by-step explanation:
Each plate is 0.5 inches tall; therefore, the stack of 8 plates will have a height of
.
Also, the diameter of the largest plate is 10 inches or has a radius of 5 inches, which matches the radius of the cylindrical box; therefore, we know that the stack of plates can fit into the base area of the cylindrical box.
What we want to figure out now is the height of the cylindrical box <em>to see if it is greater than or equal to 4 inches</em>—<em>the height of the stack of plates. </em>
The volume of a cylinder is
, and since for our cylindrical box the volume is 150 cubic inches; therefore,

putting in
and solving for height
we get

,
which is not greater than 4 inches, which means the plates will not fit into the box since the height of the stack is greater than the height of the box.