A rectangular prism has volume 186.0 cubed. It is 1.6 cm high. What is the area of its base? How do you know?

Answers

Answer 1
Answer: The formula for the volume of a rectangular prism is V = l*w*h, length*width*height. 
Let's insert the given information into the formula.

186 = length*width*1.6

The length and the width are in the formula, and area is length*width, so you can find the area. 

Divide by 1.6 on both sides.
116.25 = length*width
116.25 = Area

The area is 116.25 cm^3

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Identify the outlier in the following data set. 65, 72, 81, 74, 28, 74

Answers

28. its the lowest one in the group
28 because it is the least number im the set

The coordinates of a triangle are A(4,5) B(-1,4) C(2,-3)
after a translation of up 3 minus 4 what would be the new coordinates

Answers

After translation of up 3 and bottom 4, all the x-coordinates will increase by 3, and all the y-coordinates will decrease by 4.

Coordinates would be: A(4+3,5-4), B(-1+3,4-4), C(2+3,-3-4)
So, Final answer would be: A(7,1) B(2,0) C(5,-7)

Hope this helps!
A (0,8)
B (-5,7)
C (-2,0)

Emmanuel wants to tile his rectangular floor. he has two kinds of tiles to choose from, one of which is larger than the other. emmanuel hired your services to help him decide which tile to use.a.what area will be covered by 7"x7" tile? 21"x21" tilwe
b.if the rectangular floor has dimension of 420" by 630"
c.how many big square tiles are needed to cove rthe rectangular floor?
d.if each small tile costs P15.00 and each big tile costs P60.00which which tile should emmanuel use to econimize in tiling his floor? why?

Answers

a).
The 8" by 7" tile covers 49 square inches.
The 21" by 21" tile covers 441 square inches.

b).
The area of the floor is (420" x 630") = 264,600 square inches.

c).
It would take (264,600) / (441) = 600 large tiles to cover the floor.

d).
Emmanuel should use the big tiles to cover his floor.
-- A big tile costs 4 times as much as a small tile, but it has 9 times
as much area as a little tile has, so it is a better buy.
-- Plus, he would have to pay the floorman a lot more to glue down 5,400 tiles
than he will have to pay to glue down only 600 tiles.
-- Since he has hired my services to advise him, I will charge him only 15%
of the difference if he takes my advice, so he will still be money ahead.

How to plan this equation 34= -(m+3)

Answers

34=-(m+3)\n34=-m-3\n31=-m\nm=-31

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Adrian works in New York City and makes $42 per hour. She works in an office and must get her suit dry cleaned everyday for $75.If she wants to make more than $260 a day, at least how many hours must she work?

Answers

Answer:

Adrian must work at least 8 hours in a day to make more than $260

Explanation:

Assume that Adrian needs to work x hours in one day to make at least $260

We know that she makes $42 per hour

This means that:

If she worked x hours in a day, then she'll earn $42x

We are also given that she spends $75 daily on dry clean

This means that:

Amount she makes in a day = amount she earns - $75

Amount she makes in a day = 42x - 75

Now, she wants to make at least $260

This means that:

42x - 75 ≥ 260

42x > 260 + 75

42x > 335

x > 7.9

Therefore:

Adrian must work at least 8 hours in a day to make more than $260

Hope this helps :)

If a 10-foot piece of electrical tape has 0.037 feet cut from it,then what is the new length of the tape

Answers

10-0.037 = 9.963.

if they mean that 0.037 or 3.7% cut from TOTAL length 
when -> 10*(1-0.037)=96.3
10-.037 = 9.963. It's simple subtraction ;)