Answer:
312π mm^2
Step-by-step explanation:
to find the volume of the figure, you have to calculate the volume of a cone and the volume of a sphere divided it by 2.
The volume of a cone is 1/3 * π * r ^ 2 * h, replacing the information:
V = 1/3 * (6) ^ 2 * (14) = 168π mm^2
The volume of a sphere is 4/3 * π * r ^ 3, replacing the information:
V = 4/3 * π * (6) ^ 3 = 288π mm^2
but since you only have half the sphere
V = 288π / 2 = 144π mm^2
then the total volume is
Vt = 168π + 144π = 312π mm^2
Given :
Miki has 104 nickels and 88 dimes.
She wants to divide her coins into groups where each group has the same number of nickels and the same number of dimes.
To Find :
Largest number of groups she can have .
Solution :
In the given question we need to find the largest number of groups she can have i.e we have to find the LCM of 104 and 88 .
Now , factorizing both of them , we get :

Form above , we can say that common factors are :

Therefore , the largest number of groups she can have is 8 .
Hence , this is the required solution .
JKL is similar to PQR
so they want PR
JK
L is similar to
PQ
R
So PR is similar to JL
And they also give us the sides KL and QR
J
KL is similar to P
QR
Both of those sides are similar, so we can form a proportion.

Plug in the numbers:

Cross multiply:

Isolate PR

Simplify it

So your final answer is
Answer: width is 12, length is 16
Step-by-step explanation:
A= l*w
l=w+4
A=w(w+4)

factor
(w+16)(w-12)
w= -16 or w=12
width is 12, length is 16
Answer:
45
Step-by-step explanation:
Subtract $34.99 from $40 to figure out how much money you have left for text messages.
You have $5.01 left and you divide that by $0.11 (cost for each text). Your answer is 45.5454. Since you can’t send 1/2 a text, your answer is 45.