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GenaCL600 [577]
3 years ago
13

Which of the following is equivalent to 16^3/4? A.6 B.8 C.12 D.64

Mathematics
2 answers:
kaheart [24]3 years ago
7 0
It is B
Bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
professor190 [17]3 years ago
4 0
The answer is b 8
Shhdvdjs
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a sculpture is formed from a cylinder resting on top of a cuboid. the cylinder has a radius 40cm and height 70cm. the cuboid mea
frosja888 [35]

<u>Answer-</u>

\boxed{\boxed{\text{Mass}=10.0447256\ ton}}

<u>Solution-</u>

The dimensions of the cuboid is, 80×80×140 cm

So, its volume will be =80\times80\times140=896000cm³

The dimensions of the cylinder is, radius = 40cm, height = 70cm

So, its volume will be \pi r^2h=\pi\times40^2\times70=351792cm³

Total volume,

V=V_{\text{Cylinder}}+V_{\text{Cuboid}}\\\\=351792+896000\\\\=1247792\ cm^3

As we know,

\Rightarrow \text{Density}=\dfrac{\text{Mass}}{\text{Volume}}

\Rightarrow \text{Mass}=\text{Density}\times \text{Volume}

\Rightarrow \text{Mass}=8.05\times 1247792=10044725.6\ g

\Rightarrow \text{Mass}=10044725.6\times 10^{-6}=10.0447256\ ton


8 0
3 years ago
An employee worked 160.5 hours in May, 160.4 hours in May, 165.75 hours in June and 152.25 hours in July.
Fudgin [204]
486.65 is the answer to the question
3 0
3 years ago
sophia had pieces of rope that were 3 1/5 feet long 4.5 feet long and 5 3/10 feet long 4.5 feet long and 5 3/10 feet long what w
Dennis_Churaev [7]

5/9 of a foot

Step-by-step explanation:

Divide 5 by 9 to find the length for 9 equal pieces

6 0
3 years ago
Read 2 more answers
Mary is on her way home in her car. Her drive is 24 miles long. She has finished one-half of the drive so far. How far has she d
Rzqust [24]

Answer:

She has driven 12 miles.

Step-by-step explanation:

24 divided by 2 would be 12

PLEASE MARK ME BRAINLIEST

3 0
3 years ago
Read 2 more answers
.......................
hodyreva [135]

Answer:

1) when tomato patch is 6.5 feet the area is 191.75 sq.ft

2)  when tomato patch is 7 feet the area is 217 sq.ft

3) when area is 338 sq.ft the tomato patch is 9.0778 feet

4) when area is 147.25 sq.ft the tomato patch is 5.543799 feet

Step-by-step explanation:

The given equation is  :

3x^2 + 10x

Length of Tomato (in feet)                                       x,  6.5   ,  x   ,     7

Patch Area of Vegetable Garden (in square feet) 338, x , 147.25, x

So we can find the missing terms with the help of the equation 3x^2 + 10x

Putting the values of x from the length of the tomato patch

1)  3x^2 + 10x= 3(6.5)²+ 10 (6.5)=126.75+ 65= 191.75 square feet

2) 3x^2 + 10x= 3(7)² +10 (7)= 147+70= 217 square feet

So the area of  her vegetable garden for a variety of  lengths of the tomato patch= 6.5 feet is 191.75  square feet

and for 7 feet is 217 square feet

Similarly we can find the length of the tomato patch from the area by again using the given equation  3x^2 + 10x

So when area = 338 square feet

The equation becomes  

3x^2 + 10x= 338

Rearranging it :     3x^2 + 10x-338 =0

This is a quadratic equation and can be solved with the help of the formula.

Here a= 3, b= 10 and c= -338

x = -b±√b²- 4ac/2a

Putting the values of a,b,c we get

x= -10±√100+ 4056/6

x= -10± 64.467/6

x= 54.467/6 or -74.467/6   we ignore the negative value because the garden cannot have the negative area.

x= 9.0778 feet

Similarly repeating the same process would give

So when area = 147.25 square feet

The equation becomes  

3x^2 + 10x= 147.25

Rearranging it :     3x^2 + 10x-147.25 =0

This is a quadratic equation and can be solved with the help of the formula.

Here a= 3, b= 10 and c= - 147.25

x = -b±√b²- 4ac/2a

Putting the values of a,b,c we get

x= -10±√100+ 1767/6

x= -10± 43.208/6

x= 33.208/6 or -53.208/6  we ignore the negative value because the garden cannot have the negative area.

x= 5.543799 feet

6 0
3 years ago
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