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icang [17]
3 years ago
15

Find the side length of a cube with a volume of 422 yd ^3

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
6 0

Answer:

5.5 yd

Step-by-step explanation:

To find the side length of the cube, the volume is a clue. We know that all sides of a square are equal, and the volume of a cube is length×width×height. Since the length, width and height are all the same, we know it is V=x³. Since we know the volume, we can plug in and solve for x.

166=x³

In order to get x alone, we have to cube root both sides.

x≈5.5 yd

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5 0
3 years ago
Read 2 more answers
15. The temperature on Monday was 14°C. On Tuesday the temperature
KIM [24]

Answer:

7

Step-by-step explanation:

14-5 =9

9-10= -1

-1 + 8 =7

4 0
3 years ago
Read 2 more answers
-2+y=9 3x-7y=3 solve the system by the substitution
REY [17]

Answer:

80/3 or 26 2/3

Step-by-step explanation:

-2 + y = 9 (subtract y from both sides)

-2 = 9 - y (subtract 9 from both sides)

-2 - 9 = y (multiply both sides by -1)

2 + 9 = y (simplify)

11 = y (substitute)

3x - 7 (11) = 3 (multiply)

3x - 77 = 3 (subtract 3 from both sides)

3x - 80 = 0 (subtract 3x from both sides)

-80 = -3x (multiply both sides by -1)

80 = 3x (divide both sides by 3)

80/3 = x (simplify if needed)

26 2/3 = x

5 0
3 years ago
An author is paid $500 as an advance on their book plus an additional $4 for every book sold. If the author earns $880, how many
Ludmilka [50]
X will stand for every extra book sold

880 = 4x + 500
subtract 500 from both sides

380 = 4x
divide both sides by 4

x = 95
they sold 95 books
4 0
3 years ago
100 POINTS! :)
nasty-shy [4]

Answer: So we'll use trig to solve this because it's a right triangle. The hypotenuse is the ladder (h) and the two smaller sides are the ground and the vertical wall (w).

That angle ladder makes with the ground = €

SOH: sin € = opposite/hypotenuse

No the ladder won't be safe!!!

Now let's make it safe:

The ladder's length (w) is constant, so stays 12

So now let's ask in an inequality what height will be safe (75° or less)

what does that mean?? well as long as you put the ladder against the wall so that the height from ground to top of the ladder is < 11.6 ft!!

Hope that helps! :-D

Step-by-step explanation:

7 0
3 years ago
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