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Phantasy [73]
3 years ago
12

Please help show work

Mathematics
1 answer:
liraira [26]3 years ago
7 0
The volume of a cone is such that V= \frac{1}{3}  \pi r^2h, where r is the radius and h is the height.

Recall that the diameter is twice the radius. So given that the diameter is 8 ft, the radius must be 4 ft. The height is given as 5 ft. 

Plugging into the formula, you have V= \frac{1}{3}(3.14)(4)^2(5) = 83.73 \ ft^3
You might be interested in
Is 1.875 a terminating decimal
vampirchik [111]

Answer:

Because they are fractions, any rational number can also be expressed in decimal form. Any rational number can be represented as either: a terminating decimal: 158=1.875 15 8 = 1.875 , or. a repeating decimal: 411=0.36363636⋯=0.

Step-by-step explanation:

Terminating decimals are those numbers which come to an end after few repetitions after decimal point. Example: 0.5, 2.456, 123.456, etc. are all examples of terminating decimals.

I tried my best on explaining, sorry if it didn't help.

5 0
3 years ago
If there are four teams in a league, how many games will have to be played so that each team plays every other team once?
Sedaia [141]

Answer:

6 matches

Step-by-step explanation:

Let’s call the teams A B C D

A will play B C D = 3 matches

B will play only C and D as it already played A, making 2 matches

C will play D, making 1 match

D has already played all

Total number of matches is thus 3 + 2 + 1 = 6 matches

3 0
4 years ago
The land area of Charlotte, NC is approximately 3 x 102 square miles. There are 6.4 x 102 square acres in a square mile. How man
Murrr4er [49]

Answer:

2.13 X 104 square acres

Step-by-step explanation:

Divide 6.4 acres by 3 miles = factor of 2.13

Therefore the answer must be 2.13 X 104 square acres

5 0
3 years ago
Eric bought two jars of peppers and six jars of pickles for $49. Andrew bought three jars of peppers and 5 jars of pickles for $
lana [24]

Answer:

one jar of pickles is $1.50, 49-47.50 =1.50

Step-by-step explanation:

6 0
3 years ago
Which two values of x are roots of the polynomial below?<br> x2 + 5x+7
Dmitry [639]

Answer:

The roots are

x=\frac{-5+i\sqrt{3}}{2}  and  x=\frac{-5-i\sqrt{3}}{2}

Step-by-step explanation:

we have

x^{2} +5x+7

To find the roots equate the polynomial to zero and cmplete the square

x^{2} +5x+7=0

x^{2} +5x=-7

(x^{2} +5x+2.5^{2})=-7+2.5^{2}

(x^{2} +5x+6.25)=-0.75

rewrite as perfect squares

(x+2.5)^{2}=-0.75

take square root both sides

(x+2.5)=(+/-)\sqrt{-\frac{3}{4}}

Remember that

i=\sqrt{-1}

substitute

(x+2.5)=(+/-)i\sqrt{\frac{3}{4}}

(x+\frac{5}{2})=(+/-)i\frac{\sqrt{3}}{2}

x=-\frac{5}{2}(+/-)i\frac{\sqrt{3}}{2}

therefore

The roots are

x=\frac{-5+i\sqrt{3}}{2}

x=\frac{-5-i\sqrt{3}}{2}

4 0
3 years ago
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