Answer:
Part a) 119 cups
Part b) 30 cups
Step-by-step explanation:
Part a)
step 1
Find the volume of the conical cup with a diameter of 4 in. and a height of 8 in
The volume of the cone (cup) is equal to

we have
----> the radius is half the diameter

assume

substitute

step 2
Find out how many cups of water must Carissa scoop out of the sink
Divide the volume of the sink by the volume of the cup
so

Part b)
step 1
Find the volume of the conical cup with a diameter of 8 in. and a height of 8 in
The volume of the cone (cup) is equal to

we have
----> the radius is half the diameter

assume

substitute

step 2
Find out how many cups of water must Carissa scoop out of the sink
Divide the volume of the sink by the volume of the cup
so

POINT A I had the same question in my math class !!!
Answer:
See solutions below
Step-by-step explanation:
From the given diagram;
AC = opposite
AB = 7 = hypotenuse
Angle of elevation = 70 degrees
Using SOH CAH TOA
Sin theta = opp/hyp
Sin theta = AC/AB
Sin 70 = AC/7
AC = 7sin70
AC = 7(0.9397)
AC = 6.58
Similarly
tan 70 = AC/BC
tan 70 = 6.58/BC
BC = 6.58/tan70
BC = 6.58/2.7475
BC = 2.39
tan m<A = BC/AC
tanm<A = 2.39/6.58
tan m<A = 0.3632
m<A = 19.96degrees
Answer:
35/16 sec ( 2 3/16 sec)
Step-by-step explanation:
This assumes you glove is at height = 0
0 = -16t^2 + 35t
0 = t ( -16t + 35) shows t = 0 ( before you throw it) and t = 35/16 sec