Answer:
The capacity of the mug is 1,527.43 cm^3
Step-by-step explanation:
In this question, we are asked to calculate the capacity of the hemisphere. This is same as calculating the volume of the hemisphere.
A hemisphere is a sharpe which is half a sphere. Meaning to get a hemisphere, we shall be diving a sphere into 2.
Mathematically, the volume of a hemisphere V = 2/3 * π * r^3
Since D = 18cm , r = D/2 = 18cm/2 = 9 cm
The volume V is thus = 2/3 * 22/7 * 9^3
V = 1,527.428 cm^ 3
To the nearest hundredth,
V = 1,527.43 cm^3

As a>0 so the concavity (open) of the parable is to the
right.
Answer:
The scale factor from Figure A to Figure B is 
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is the scale factor
Let
z-----> the scale factor
In this problem

substitute values

the scale factor is less than 1
therefore
is a reduction
I got 6 a cups. i want to pour 1/4 of water in each cup
Solution : 6 ÷ 1/4 keep change flip
6 x 4/1 =24 ,24 ÷2 equals 12
Answer:
P(A) = 86/100
P(B) = 79/100
P(A') = 14/100
P(A U B) = 95/100
P(A' U B) = 84/100
Step-by-step explanation:
i. P(A) = number of disks with high shock resistance/total number of disks
= (70+16)/100
= 86/100
ii. P(B) = number of disks with high scratch resistance/total number of disks
= (70+9)/100
= 79/100
iii. P(A') = number of disks without high shock resistance/total number of disks
= (100-86)/100
= 14/100
iv. P(AUB) = number of disks with high shock resistance or high scratch resistance/total number of disks
= (70+9+16)/100
= 95/100
v. P(A'UB) = number of disks without high shock resistance or with high scratch resistance/total number of disks
= (5+9+70)/100
= 84/100