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galben [10]
3 years ago
11

The formula for finding the volume of a nose cone of an aircraft is V = (pi * d ^ 2 * h)/6 where d is the diameter of the base o

f the nose cone and h is the height of the nose cone. Which equation shows this volume formula solved for h?
Mathematics
1 answer:
adell [148]3 years ago
5 0

Answer:

h=\frac{6V}{\pi d^2}

Step-by-step explanation:

we have

V=\frac{\pi d^2h}{6}

Solve for h

That means ----> isolate the variable h

step 1

Multiply by 6 both sides

6V=\pi d^2h

step 2

Divide by \pi d^2 both sides

h=\frac{6V}{\pi d^2}

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Josh has a savings account at a bank that charges a $10 fee and pays no interest for every month his balance falls below $1,000.
NNADVOKAT [17]

Answer:

$843.44

Step-by-step explanation:

1,203.44-300=903.44

903.44-60=843.44

3 0
3 years ago
What are the gradients (slopes) and y-intercepts of these lines, please?​
masya89 [10]

Answer:

a. gradient 4

b. gradient 3

c. gradient 1

d. gradient 1

e. gradient -2

f. gradient 3

Step-by-step explanation:

to find y intercept substitute x to be 0

i.e y=3x

y=0

6 0
3 years ago
During a week-long dry spell, the water level in a pond decreased by 4 in. Per day, except for two days when it decreased by hal
Helga [31]

Answer:

24 inches.

Step-by-step explanation:

Given:

During a week the water level in a pond decreased by 4 in. Per day,

For two days, it decreased by half that amount = 4\times\frac{1}{2}=2\ inches\ per\ day

Question asked:

How much did the water level decrease in the pond in one week?

Solution:

As we know, there are 7 days in a week.

<u>For 5 days,</u>

Each day water level decreased by = 4 inches

In 5 days, water level decreased by = 4\times5=20\ inches

<u>For exceptional 2 days:</u>

Each day water level decreased by = 2 inches

In 2 days, water level decreased by = 2\times2=4\ inches

Water level decreased in whole week = 20 + 4 = 24 inches

Therefore, water level decreased 24 inches in the pond in one week.

7 0
3 years ago
Apply each of the four counting/sampling methods (with replacement and with ordering, without replacement and with ordering, wit
dusya [7]

Answer:

Step-by-step explanation:

I will illustrate this solution with a unique birthday party situation between Jane (the celebrant) and her 10 friends.

In the said party , we will assume that Jane only has 5 chocolates to share among her friends

i. Assuming that the 5 chocolates are of the same type, if she doesn't want to give any friend more than one piece of chocolate, the situation here is said to be WITHOUT REPLACEMENT & UN-ORDERED

n = 10 and k = 5

Total number of possible combinations becomes,

(\left {n} \atop {k}} \right. )=(\left {10} \atop {5}} \right. )=252

ii. Assuming that the 5 pieces of chocolate are of the same type and she is willing to give a friend more than one piece of chocolate, the situation is said to be WITH REPLACEMENT & UN-ORDERED

n = 10 and k = 5

Total number of possible combinations becomes,

(\left {n+k-1} \atop {k}} \right. )=(\left {14} \atop {5}} \right. )=2002

iii. Assuming that the 5 pieces of chocolate are of different types and she isn't willing to give any friend more than one piece of chocolate, the situation is said to be WITHOUT REPLACEMENT & ORDERED

n = 10 & k = 5

Total number of possible combinations becomes,

P\left {n} \atop {k}} \right=P\left {10} \atop {5}} \right. =30240

iv. Assuming the the 5 pieces of chocolate are of different types, if she is willing to give a friend more than one piece of chocolate, the situation is said to be WITH REPLACEMENT & ORDERED

n = 10 AND k = 5

Total number of combinations becomes

n^k=10^5=100,000

Sampling with replacement means that one friend can be sampled more than once i.e: A friend receives a piece of chocolate more than once

The order dictates how the sampling is applied.

3 0
3 years ago
Solve the equation -3k+6=15
Assoli18 [71]

Answer:

K= -3

Step-by-step explanation:

-3k+6=15

     -6   -6

-3k=9

/-3  /-3

k=-3

subtract 6 from both sides.

divide each side by -3 to get K alone

-3 is your answer.

8 0
2 years ago
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