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Lady_Fox [76]
3 years ago
12

Dimensions of Box 2:x by 4x-1 by x^3 The volume of Box 2 is given by

Mathematics
1 answer:
PIT_PIT [208]3 years ago
6 0

Answer:

4x^5 – x^4

Step-by-step explanation:

i took it and was correct

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The height of a trapezoid is 6 in. and it’s area is 72 in to the 2nd power. One base of the trapezoid is 6 inches longer than th
Vitek1552 [10]

Given:

The height of the given trapezoid = 6 in

The area of the trapezoid = 72 in²

Also given, one base of the trapezoid is 6 inches longer than the other base

To find the lengths of the bases.

Formula

The area of the trapezoid is

A=\frac{1}{2} (b_{1} +b_{2} )h

where, h be the height of the trapezoid

b_{1} be the shorter base

b_{2} be the longer base

As per the given problem,

b_{2}=b_{1}  +6

Now,

Putting, A=72, b_{2}=b_{1}+6 and h=6 we get,

\frac{1}{2} (b_{1} +b_{1}+6)(6) = 72

or, b_{1}+b_{1}+6 = \frac{(72)(2)}{6}

or, 2b_{1}+6 = 24

or, 2b_{1}=24-6

or, b_{1}= \frac{18}{2}

or, b_{1}=9

So,

The shorter base is 9 in and the other base is = (6+9) = 15 in

Hence,

One base is 9 inches for one of the bases and 15 inches for the other base.

5 0
3 years ago
The temperature in Toronto, Canada, dropped over three hours from 0 °F to -33 °F. If the temperature dropped the same amount eac
professor190 [17]

Answer:

The temp. dropped 11 degrees each hour.

Step-by-step explanation:

33 divided by 3 is 11

4 0
3 years ago
Josh invests £500 in a savings bond.
goldenfox [79]

Answer:

550 pounds

Step-by-step explanation:

If this answer helped you then please consider making this brainliest and thank this response :)

3 0
3 years ago
Element X is a radioactive isotope such that every 14 years, its mass decreases by half.
DanielleElmas [232]
Element X is a radioactive isotope such that every 14 years, its mass decreases by half.
Given that the initial mass of a sample of Element X is 80 grams, how much of the
element
4 0
3 years ago
What is the exact distance from (−1, 4) to (6, −2)?
Morgarella [4.7K]

Answer:

The exact distance is √(29) or 29^(1/2)

Step-by-step explanation:

Find the answer using the distance formula (aka the Pythagorean theorem)

d=√(x1+x2)^2+(y1+y2)^2)

d=√(-1+6)^2+(4+-2)^2), Solve for d:

d= √((25)+(4))

d=√(29)

7 0
4 years ago
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