Round 12.745 to the nearest tenth

Answers

Answer 1

Answer:

Answer:

12.7

Step-by-step explanation:

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Find the surface area of a melon with circumference of 18 in. Round your answer to the nearest square inch.

Answers

that is, the length down the middle of the melon is 18.

$\bf \textit{circumference of a circle}\n\n C=2\pi r~~ \begin{cases} r=radius\n \cline{1-1} C=18 \end{cases}\implies 18=2\pi r\implies \cfrac{18}{2\pi }=r\implies \cfrac{9}{\pi }=\boxed{r} \n\n[-0.35em] ~\dotfill$

$\bf \textit{surface area of an sphere}\n\n A=4\pi r^2~~ \begin{cases} r=radius\n \cline{1-1} \boxed{r}=(9)/(\pi ) \end{cases}\implies A=4\pi \left( \cfrac{9}{\pi } \right)^2\implies A=4\pi \cdot \cfrac{81}{\pi ^2} \n\n\n A=4\cdot \cfrac{81}{\pi }\implies A=\cfrac{324}{\pi }\implies A\approx 103.13\implies \stackrel{\textit{rounded up}}{A=103}$

How to find the area of a shaded region if there are two circles inside a square, the area of the square is 60 ( on side is 6 and the other is 10)?

Answers

if it's breadth is 6 then the circles should have the diameter 6 and radius = 3
now subtract the area of both circles from the area of rectangle
area of circle = π r²
= 3.14 x (3)²
= 3.14 x 9
= 28.26
this is area of one circle
so area of both circles = 2 x 28.26 = 56.52
now the area of shaded region = area of rectangle - area of both circles
area of shaded region = 60 - 56.52
= 3.48 <------ANSWER

After six weeks, the tomato plant thatwas given extra plant food and water
was 26 centimeters tall. The tomato
plant that was not given any extra
plant food was only 74.5% as tall.
How tall was the tomato plant that
was not given extra plant food?

Answers

19.37cm is 74.5% of 26cm so we then we need to take away 19.37 from 26cm that leaves us with 6.63
hope i helped was quite hard just remember the way i did it

Find the volume of the prism.

Answers

one way is to find the volume of the whole then find the volume of the cut out part then minus cut out from total

aka
Vprism=Vtotal-Vcutout

Vtotal=Legnth times width times height
Vtotal=20 times 10 times 15
Vtotal=3000 in^3

cutout is 10 by 7 by 8
Vcutout=10*7*8
Vcutout=560 in^3

Vprism=Vtotal-Vcutout
Vprism=3000in^3-560 IN^3
Vprism=2440in^3

volume=2440 in^3, or 2440 cubic inches

A storage container has a shape of a rectangular prism. it’s height is 8 feet. it’s length is two times it’s width. the volume is 400 cubic feet. find the length and width of the container. please help

Answers

Answer:

length = 10

width = 5

Step-by-step explanation:

So first you divide 8 from 400 which equals 50.

Then so the length and the width has to equal 50 when they are times-ed, and the length is double the width.

So the length is 10

and the width is 5

Final answer:

Given that the volume of a rectangular prism is length x width x height, this problem can be solved by setting up the equation 2w * w * 8 = 400, where w is the width and 2w is the length. Solving this equation, we find that the width is 5 feet and the length is 10 feet.

Explanation:

In mathematics, the volume of a rectangular prism is given by the formula length x width x height. We are given that the volume of the storage container is 400 cubic feet, its height is 8 feet, and the length is twice the width. Let us denote the width as w, then the length is 2w.

From the given volume formula, we have:

Length x Width x Height = Volume

Substituting the values, we get:

2w * w * 8 = 400

Solving this equation, we find:

w^2 = 25

Taking the square root of both sides, we get:

w = 5

Substituting w=5 into 2w, we find the length:

Length = 2*5 = 10

So the width of the container is 5 feet and the length is 10 feet.