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Step2247 [10]
3 years ago
5

Question 8

Mathematics
1 answer:
mafiozo [28]3 years ago
8 0

Answer

Step-by-step explanation:

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What is the height of the cone below?
melisa1 [442]

The formula of a volume of a cone:

V=\dfrac{1}{3}Bh[/rex]B - area of a baseh - heightWe have[tex]V=90\ cm^3,\ B=18\ cm^2

Substitute:

90=\dfrac{1}{3}\cdot18\cdot h\\\\90=6h\qquad|\text{divide both sides by 6}\\\\15=h\to h=15

<h3>Answer: 15 cm.</h3>
3 0
3 years ago
Find the exponential function that satisfies the given conditions: Initial value = 64, decreasing at a rate of 0.5% per week
mrs_skeptik [129]

Answer:

Step-by-step explanation:

An exponential function is of the form

y=ab^x

where a is the initial value and b is the growth/decay rate.  Our initial value is 64.  That's easy to plug in.  It goes in for a.  So the first choice is out.  Considering b now...

If the rate is decreasing at .5% per week, this means it still retains a rate of

100% - .5% = 99.5%

which is .995 in decimal form.

b is a rate of decay when it is greater than 0 but less than 1; b is a growth rate when it is greater than 1.   .995 is less than 1 so it is a rate of decay.  The exponential function is, in terms of t,

f(t) = 64(.995)^t

4 0
2 years ago
HELPPPP ME PLZZZZZZZ
MAXImum [283]

Answer:

It would take alot of time for be to fill everything out so the simple solution is, complementary angles add up to 90 degrees and supplementary add up to 180 degrees. Simply for complementary do 90 - m<1 = m<2, and for supplementary 180 - m<3 = m<4.

3 0
3 years ago
What is the slope below?? Please answer quickly! Due tonight.
rosijanka [135]
1.25 is the slope 5/4 rise over run
4 0
2 years ago
Day 4: As a landscaper, one of your clients wants a rectangular garden in which the length is five feet
liberstina [14]

Answer:

The Area of Rectangular Garden is 1044  feet²    

Step-by-step explanation:

According to question

The perimeter of the garden = 82 ft

Let the length be L ft

The width be W ft

Now as per question

L = 5 + ( 2× W )

∵ Perimeter of Rectangle = 2 × ( Length + Width )

Or , Perimeter of Rectangle = 2 × ( L+ W )

Or, 82 = 2 × ( L+ W )

Or,  82 = 2 × [ 5 + ( 2 ×W ) + W ) ]

Or,  82 = 2 × ( 5 +3W )

Or,  41 = 5 + 3W

Or, 41 - 5 = 3W

So, 3W= 36

∴    W = \frac{36}{3} = 12 feet

I.e Width = 12 feet

And L = 5 + ( 2× W )

Or, Length = 5 + 24 = 29 feet

Now The Area of Rectangle = Length × width

So, The Area of Rectangle = 29 ft × 36 ft

The Area of Rectangle is 1044 feet²

Hence The Area of Rectangular Garden is 1044  feet²        Answer

4 0
3 years ago
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