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zhannawk [14.2K]
3 years ago
6

A regular heptagon has sides measuring 26 mm and is divided into 7 congruent triangles. Each triangle has a height of 27 mm. Wha

t is the area of the heptagon?
Mathematics
1 answer:
Inessa [10]3 years ago
8 0
567 square mm
because 27*7 is 189 an times 3 because each side has 3 sides so it equals to 567 square mm! :)

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6. In a toy factory, 200 wooden closed cylinders of diameter 35 mm and height 7 cm have to be painted. What is the total surface
Pachacha [2.7K]

Answer:

6) About 19,244.75 square centimeters.

7)  About 4895 containers.

Step-by-step explanation:

Question 6)

We need to paint 200 wooden closed cylinders of diameter 35 mm and height 7 cm. And we want to find the total surface area that needs to be painted.

First, since the diameter is 35 mm, this is equivalent to 3.5 cm.

The radius is half the diameter, so the radius of each cylinder is 1.75 cm.

Recall that the surface area of a cylinder is given by the formula:

\displaystyle \text{SA}=2\pi r^2+ 2\pi rh

Where <em>r</em> is the radius and <em>h</em> is the height.

Therefore, the surface area of a single cylinder will be:

\displasytyle \text{SA}=2(3.142)(1.75)^2+2(3.142)(1.75)(7) = 96.22375\text{ cm}^2

Then the total surface area for 200 cylinders will be:

\displaystyle \text{SA}_{\text{total}}=200(96.22375)=19244.75\text{ cm}^2

Question 7)

We know that the tank has a diameter of 2.4 m and a height of 6.4 m.

Since its diamter is 2.4 m, then its radius is 1.2 m.

Find the total volume of the tank. The volume for a cylinder is given by:

\displaystyle V=\pi r^2h

Since <em>r</em> = 1.2 and <em>h</em> = 6.4:

\displaystyle V=(3.142)(1.2)^2(6.4)=28.956672\text{ m}^3

Each container has a base radius of 8.2 cm and a height of 28 cm.

So, the radius of each container is 0.082 m and the height is 0.28 m.

Then the volume of each container is:

\displaystyle V=(3.142)(0.082)^2(0.28)=0.005915506\text{ m}^3

Then to find the number of containers that can be filled by the tank, we can divide the two values. Hence:

\displaystyle C=\frac{28.956672}{0.005915506}=4895.045466\approx 4895

Thus, approximately 4895 containers can be filled.

5 0
3 years ago
Read 2 more answers
Evaluate the following expression. 3^-2
OverLord2011 [107]
3^-2 = 0.111111111 ← Answer
7 0
3 years ago
Simplify the expression.<br> 3.2a + 3.5b – 2.1a
antiseptic1488 [7]

Answer:

1.1a+3.5b

Step-by-step explanation:

7 0
2 years ago
Determine whether the polynomial is a difference of squares and if it is, factor it.
Alexandra [31]
Just by the language difference means subtract, 

Y^2-25 is the difference of squares
factored it's the sum and difference of their square roots

(x+5) (x-5)
4 0
3 years ago
What is 2*2^3 in expanded form?
katrin2010 [14]

Answer:

16

Step-by-step explanation:

To solve this question,we will have to understand some symbols in mathematics...

For example,* means ×

/ Means÷

We have so many of them

So back to the question

2*2^3 means 2 multiply by 2 raise to the power of 3

So 2^3 is 8

Therefore,2*8 means 2×8

It equals to 16

Therefore the final answer is 16

I hope you understand it better now

5 0
3 years ago
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