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3 years ago

Prime factorisation of 27,45 and 54

Mathematics

2 answers:

Mnenie [13.5K]3 years ago

8 0

Answer:

27= $3\sqrt{3}$ (3 x 3 x 3)

45= $3\sqrt{5}$ (3 x 3 x 5)

54= $3\sqrt{6}$ (3 x 3 x 3 x 2)

Step-by-step explanation:

VikaD [51]3 years ago

5 0

Answer:

We found the factors and prime factorization of 27 and 45. The biggest common factor number is the GCF number. So the greatest common factor 27 and 45 is 9.

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In-s [12.5K]

Answer:

5x^7y^11.

Step-by-step explanation:

∛(125x^21 y^33)

The cube root = 'to the power 1/3' so we have:

125^1/3 * x^(21*1/3) * y^(33*1/3)

5x^7y^11.

6 0

3 years ago

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 r is the radius and h 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 r = 1.2 and h = 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

In the diagram below, is an altitude of DEF. What is the length of ? If necessary, round your answer to two decimal places.

padilas [110]

I hope this helps you

5 0

3 years ago

Which algebraic rule describes the transformation?

Olegator [25]

Answer:

C) (x,y) -> (-x,-y)

Step-by-step explanation:

This is the answer because the graph was flipped. If you look a the x point, it is in the same number, but the number is negative, and this is the same for the y point. hope this helps

7 0

3 years ago

The ratio of the number of apples to the number of pears in a basket was 3:5. After 7more apples were added to the basket and 9

atroni [7]

Answer:

Apples = 24

Pears = 40

Step-by-step explanation:

Let u be the unit of fruit in the basket,

number of apples: $3u +7$