Πr²h=175
πr²*7=175
Divide both sides by 7
πr²=25
Divide both sides by π (3.14)
r²=7.96
Square root of 7.96=2.82
r=2.82
Diameter is 2r. 2.82*2
2.82*2=5.64
7+ 3x= -8
-8-7=-15
-15 divided by 3= -5
-5 is the answer
Answer:
The correct answers are:
0.95g
g - 0.05g
(1 - 0.05)g
Step-by-step explanation:
Amount of last week's rain = g inches
this week = 5% decrease on last week's amount
5% of last week's amount = 5/100 × g = 0.05g
∴ This week's amount of rain = 0.05g decrease
∴ Amount of rain this week = (Amount of rain last week) - 0.05g
∴ Amount of rain this week = g - 0.05g
This can be simplified by factorizing the common term "g"
g - 0.05g = g(1 - 0.05) = 0.95g
We know that
The formula for combinations is
C=n!/[(n-r)!*r!]
where
n is the total number of objects you choose from
r is the number that you choose to arrange
in this problem
n=15 students
r=4 students
C=15!/[(15-4)!*4!]-----> C=15!/[11!*4!]---> (15*14*13*12*11!)/(11!*4*3*2*1)
C=(15*14*13*12)/(24)----->C=1365
the answer is
1365
