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katrin [286]
4 years ago
7

A pyramid with an equilateral-triangle base has a volume of 483√3 cm 3 and a height of 16 cm. What is the length of each side of

the equilateral triangle?
Mathematics
1 answer:
KengaRu [80]4 years ago
8 0
V= 1/3 Area of base times Height 
so, 483 (3)^1/2 =1/3 A (16 cm)
1/3(1/2b^2)16cm = 483(3)^1/2
solve for b to get the sides and it is = 17.7 or 18 approximate.
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The equation of the line through point (-5,0) and parallel to the y-axis is
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4 0
3 years ago
What is the justification for each step in the solution of the equation?
Alexandra [31]

For this case we have the following equation:

\frac{2}{3}x-\frac{1}{3}= 2 (x + 2)\\

If we multiply both sides of the equation by 3 we get:

2x-1 = 6 (x + 2) ---> Multiplication Property of Equality

Applying the distributive property we have:

2x-1 = 6x + 12 ---> Distributive Property

Adding 1 on both sides of equality we have:

2x-1 + 1 = 6x + 12 + 1\\

2x = 6x + 13 ---> Addition Property of Equality

Subtracting 6x on both sides we have:

-6x + 2x = 6x-6x + 13\\

-4x = 13 ---> Subtraction Property of Equality

Finally, dividing by -4 on both sides we have:

\frac{-4x}{-4}= \frac{13}{-4}\\

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5 0
3 years ago
Read 2 more answers
What is the area of the shape
Vera_Pavlovna [14]
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8 0
3 years ago
Which equations are equivalent to Y=2/3X-4 when written in slope-intercept form? Check all that apply. A =3X-2Y=4. B=2X-3Y=12. C
klemol [59]

Answer:

B and C

Step-by-step explanation:

Rearrange each equation into slope- intercept form

A

3x - 2y = 4 ( subtract 3x from both sides )

- 2y = - 3x + 4 ( divide all terms by - 2 )

y = \frac{3}{2} x - 2 ← not equivalent

B

2x - 3y = 12 ( subtract 2x from both sides )

- 3y = - 2x + 12 ( divide all terms by - 2 )

y = \frac{2}{3} x - 4 ← equivalent

C

- 4(2x - 3y ) = - 48 ( divide both sides by - 4 )

2x - 3y = 12 ← same as B ⇒ equivalent

D

2(x + 6) = 3y

3y = 2x + 12 ( divide all terms by 3 )

y = \frac{2}{3} x + 4 ← not equivalent

E

2x - 3y = 4 ( subtract 2x from both sides )

- 3y = - 2x + 4 ( divide all terms by - 3 )

y = \frac{2}{3} x - \frac{4}{3} ← not equivalent



4 0
3 years ago
Read 2 more answers
Plz help need to find both answers
saul85 [17]

Answer:

I hope it helped u.

Step-by-step explanation:

7 0
3 years ago
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