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VladimirAG [237]
3 years ago
7

Find the surface area of each figure?Please help

Mathematics
1 answer:
kolbaska11 [484]3 years ago
4 0
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Surface area of the cube
--------------------------------------------------
6(2.5 x 2.5) = 37.5m²

<em>(* Each area is 2.5 x 2.5, and there are 6 sides to the cube)</em>

--------------------------------------------------
Surface area of the rectangle prism
--------------------------------------------------
2(11 x 7) + 2(9 x 7) + 2(9 x 11) = 478m²

<em>(* The opposite side of the rectangle area is the same, therefore x2)
</em>
--------------------------------------------------
Overlapping area
--------------------------------------------------
2.5 x 2.5 = 6.25m²

--------------------------------------------------
Surface area of the composite figure
--------------------------------------------------
37.5 + 478 - 2(6.25) = 503m²

<em>(* The bottom of the cube and the top of the rectangle prism overlapped, so the area is overlapped twice, minus 2 times of that area)</em>

--------------------------------------------------
Answer: 503m²
--------------------------------------------------

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2.(a+bc)+cb+ab+ac-3.(ab-cb-ba+bc)
SVETLANKA909090 [29]
2(a+bc)=2a+2bc
3.(ab-cb-ba+bc)= 3ab-3cb-3ba+3bc
Since the brackets and multiplication have a higher order than the rest.

Cb=Bc
Ab=ba
Ac=Ca

Because multiplication is commutative.

2a+2bc + cb +ab + ac -(3ab-3cb-3ba+3bc)

2a + 2bc + cb + ab + ac(+ -3ab - - 3cb - -3ba +-3bc)

2a + 2bc + cb + ab + ac -3ab + 3cb + 3ba -3bc

2a + (2bc-3bc +cb + 3cb ) + (ab -3ab + 3ba) + ac

=2a + 3cb + ba+ ac OR 2a +3bc + ab + ac



The Or is just a different way to write it.

Hope this helps
4 0
3 years ago
The number 72 lies between the prefect squares what and what
Umnica [9.8K]

Answer:

8² = 64 < 72 < 9² = 81

Step-by-step explanation:

Hope the above solution will help you

3 0
3 years ago
2n − 35=5 help i have to do this for school
yawa3891 [41]

2n-35=5

+35 both sides

2n=40

÷2 both sides

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4 0
4 years ago
Read 2 more answers
A regular hexagon has a radius of 20in. What is the approximate area of the hexagon
Wittaler [7]

Answer:

A= 1038 in²....

Step-by-step explanation:

There are several ways to find the area of a regular hexagon

In a regular hexagon, split the figure into triangles.

Find the area of one triangle.

Multiply this value by six.

We will apply the formula of area of regular polygon:

A= 1/2r²nsin(360/n)

r = radius

n = number of sides of the regular polygon

We know that,

r= 20 in

n= 6

Now substitute the values in the formula:

A= 1/2(20)²(6)sin(360/6)

A= (20)²(3)sin(360/6)

A= (20)²(3)sin(60)

A=3*(20)² *√3/2

A= 1200 * √3/2

A= 600*√3

A= 1038 in²....

Therefore the approximate area of hexagon is 1038 in²....

8 0
4 years ago
Read 2 more answers
Find a cubic function with the given zeros. 7, -3, 2
Bess [88]
X = 7, -3, 2
(x - 7)(x + 3)(x - 2) = 0
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x^3 - 6x^2 - 13x + 42 = 0
7 0
4 years ago
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