Answer:


Step-by-step explanation:
We have been given that at a zoo, the lion pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a radius of 11 m. The inner edge of the sidewalk is a circle with a radius of 9 m.
To find the area of the side walk we will subtract the area of inner edge of the side walk of lion pen from the area of the outer edge of the lion pen.
, where r represents radius of the circle.



Therefore, the exact area of the side walk is 
To find the approximate area of side walk let us substitute pi equals 3.14.


Therefore, the approximate area of the side walk is
.
Answer:
2
2
2
SSS similarity
Step-by-step explanation:
Answer:
Step-by-step explanation:
Left triangle: it has two congruent legs because has an angle of 45 degrees
AB =
cm
the triangle on the the right is half on an equilateral one
BC = 12 cm
CH = 6√3 cm
AC= (6 + 6√3) cm
2p = 6 + 6√3 + 12 + 6√2 = 18 + 6√3 + 6√2 = 6(3 + √3 + √2) cm
Area = [6(1+√3) * 6]/2 = 18(1+√3) cm^2
Answer:
let the number be x, so that the two numbers are x and x - 32 The first number is x = 62.
The second number is x - 32 = 62 - 32 = 30.
Step-by-step explanation:
x + x - 32 = 92
or, 2x = 92 + 32
or, 2x = 124
or, x = 124/2 = 62
Answer:
Alvin invested $110 at rate of 7% and invested $870 at rate of 5%
Step-by-step explanation:
we know that
The simple interest formula is equal to
where
I is the Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem
Let
x------> the amount of money invested at rate of 5%
At rate of 7%
we have
At rate of 5%
we have
substitute in the formula
therefore
Alvin invested ($870-$760)=$110 at rate of 7%
Alvin invested $870 at rate of 5%