Numbers 41,378 or words forty one thousand three hundred seventy eight
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

It is a 45-45 - 90 triangle (as the right angle is split in half for the outer one)
In this case, x is in the hypotenuse. The side lengths follow the 1, 1, √2 formula.
If 1 = 3, then:
3 x √2 = Answer
Answer = 3√2
hope this helps
The cost of the mortgage is $81250
<h3>What are interests?</h3>
Interests are percentages of a principal
Given the following parameters
Principal = $65000
Rate = 7% = 0.07
Time = 5 years
<h3>Calculate the interest</h3>
I = PRT/100
I = 65000*0.07*25
I = 16,250
<h3>Determine the cost of the mortgage</h3>
Cost of mortgage = Principal + Interest
Cost of mortgage = 65000 + 16250
Cost of mortgage = 81,250
Hence the cost of the mortgage is $81250
Learn more on mortgage here: brainly.com/question/22846480
w represents width
4w represents length
d represents diagonal
w2 + (4w)2 = d2
w2 + 16w2 = d2
17w2 = d2
±w√17 = d
The diagonal is the width times √17.