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Jobisdone [24]
3 years ago
10

A rectangle has a length of 12.6 m and a width of 6.3 m. A similar rectangle has a width of 2.1 m. What is the length of the sim

ilar rectangle?
Mathematics
1 answer:
Oxana [17]3 years ago
5 0

Step-by-step explanation:

Please see the photo for the method

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The diagram shows the cross-section of a wall of a cinema. It has to be painted. Work out the area that needs to be painted.
mestny [16]

Answer:

Area = 370 m²

Cost to paint = £105

Step-by-step explanation:

Area of the wall of a cinema hall = Area of a trapezoid (1)+ Area of a rectangle (2) + Area of a trapezoid (3)

Area of a trapezoid = \frac{1}{2}(b_1+b_2)h

where b_1 and b_2 are the parallel sides and h is the distance between these sides.

Area of trapezoid (1) = \frac{1}{2}(11+12)\times 6

                                  = 69 m²

Area of the rectangle (2) = Length × Width

                                         = 12 × 15

                                         = 180 m²

Area of the trapezoid (3) = \frac{1}{2}(12+10)\times 11

                                         = 121 m²

Now area of the wall = 69 + 180 + 121

                                   = 370 m²

One tin covers the area = 25 m²

Number of tins required to paint the wall = \frac{\text{Total area}}{\text{Area covered by one tin}}

= \frac{370}{25}

= 14.8

Therefore, number of tins to be purchased = 15

Cost to paint the complete wall = 15 × £7

                                                       = £105

8 0
3 years ago
What is 3. 2/15 simplified
coldgirl [10]
Hi there!

Okay, so I was a bit confused by your question, but I tried to make it a bit easier and work out.

There was two ways I did this because I didn't want to NOT answer your question!

What about this:

3.2/15 cannot be simplified lower than what it is. Decimal form is 0.2133333 (repeating). I answered this part because I didn't know what 3. was (I at first thought it was part of the numerator. But now that I look at it again it may have been a question number. But just in case, I answered it like this anyway.)

Next!

I solved 2/15, which also cannot be simplified down lower than what it is. It's decimal form is 0.133333 (another repeating decimal.)

And so as you can see I answered two problems for you. If these are incorrect, let me know!

Hope this helps!
7 0
3 years ago
WHAT IS A PERFECT CUBE!!!!!!??
VikaD [51]
A perfect cube is a cube that reduces "perfectly" without any decimals. Examples include √25 = 5
                               √100=10
                           
5 0
3 years ago
Read 2 more answers
Find the volume of a cylinder with height 14.7 cm and diameter 10.5 cm.
velikii [3]

Hello!

The volume of a cylinder is found by using the formula: V = πr²h.

The problem has given us the height of the cylinder, which is 14.7 centimeters, and the diameter which is 10.5 centimeters. The volume of a cylinder requires the radius, so therefore, to find the radius, divide the diameter by half, and that will give the radius.

R = 10.5 / 2

R = 5.25 centimeters

With that radius and the height, we can find the volume of the cylinder.

V = π(5.25)²(14.7)

V = 27.5625(14.7)π

V = 405.17π, 1272.23 (multiplied by 3.14), 1272.88 (multiplied by π)

Therefore, the volume of this cylinder is 1272.88 centimeters³.

5 0
3 years ago
Adriano purchased a living room set for $4,308 using an 18-month deferred payment plan with an interest rate of 16.59%. What is
Stella [2.4K]
C. I hope this helps!
5 0
3 years ago
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