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____ [38]
3 years ago
6

Find the surface area and volume of each figure. Round each answer to the nearest hundredth.

Mathematics
1 answer:
Llana [10]3 years ago
6 0

Answer: Surface area is equal to 200cm^{2}

Volume is equal to 333.33cm^{3}

Step-by-step explanation:

First, let's do surface area.

The surface area of a pyramid is equal to 1/2(perimeter of base)(lateral height) + area of the base

The perimeter of the base is 10(4) = 40; as the base is a square with a side length of 10.

The lateral height is given as 5 cm.

The area of the base is 10(10) = 100.

We can plug those numbers into the equation to get 1/2(40)(5) + 100, which comes out to be 200cm^{2}.

Now for volume.

The volume of a pyramid is equal to 1/3(area of the base)(height).

We already have the area of the base, which is 100.

The height is given as 10 cm.

Plugging those numbers into the equation, we get 1/3(100)(10), which is 1000/3 or about 333.33cm^{3}.

Hope this helps!

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Find the area of the parallelogram that has a base of 4m and a height of 5.5m.
Sveta_85 [38]

Answer:

22m²

Step-by-step explanation:

Area of parallelogram is simply the base length x height.

In this case, base length = 4m and height = 5.5m

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3 0
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Seth just opened a checking account. His account includes an ATM card. What will he NOT be able to do with his card?    
OverLord2011 [107]

Answer:

Option a

Step-by-step explanation:

Given that Seth just opened a checking account. His account includes an ATM card.

With ATM card

d) he can withdraw money from any ATM centre provided sufficient balance is kept in his checking account

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c) he can give the card with pin in any shop to purchase an item instead of paying cash.

Hence b,c,d are not right answers.

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Option a is right answer

6 0
3 years ago
Leon filled a box with unit cubes. When it was completely filled, the box contained 32 cubes and had no gaps or overlaps. What w
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5) Find the equation of the line going through the point (4,1) and<br> perpendicular to y = - 3x +7
vovangra [49]

Answer:

3y=x-1 OR y=⅓x-⅓

Step-by-step explanation:

Lets call the equation y=-3x+7 line l1

the other line passing through (4,1) l2

If two lines are perpendicular,then the product of their roots=-1

That is m(l1)×m(l2)=-1

Slope of l1=-3 therefore slope of l2=-1÷-3=⅓

Now that we have determined the slope of l2 we move on to find it's equation using the point-slope form

y-y1=m(x-x1)

y-1=⅓(x-4)

3y-3=x-4

3y=x-4+3

3y=x-1 OR y=⅓x-⅓

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3 years ago
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