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Ahat [919]
3 years ago
11

Find the greatest common factor of 15x^2 y^3 and -20x^3yz

Mathematics
1 answer:
maxonik [38]3 years ago
6 0
5x^2y

5 is the largest number to go in evenly. And the terms are limited to those. 
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Plz help me solve and show your work.
xz_007 [3.2K]

Hi there!

\large\boxed{h = \frac{15x}{y}}

Recall the volume of a pyramid is:

V = 1/3(bh)

We are given the volume and side length of the base. Find the area of the base:

A = s²

A = (5xy²)² = 25x²y⁴

Plug in the solved for base:

125x³y³ = 1/3(25x²y⁴)h

To isolate for h, begin by multiplying both sides by 3:

375x³y³ = (25x²y⁴)h

Divide both sides by 25x²y⁴. Use the following exponent property:

xᵃ / xᵇ = xᵃ⁻ᵇ

Thus:

375x³y³ / 25x²4⁴ = 15x/y.

The height must be equal to:

h = \frac{15x}{y}

7 0
2 years ago
The perimeter of a rectangular goat pen is 28 meters. The pen is 5 meters wide. How long is it?
polet [3.4K]

Answer:

I think it would be 9 meters.

Step-by-step explanation:

5x2=10

28-10=18

18(divided by)2=9 meters

3 0
2 years ago
Read 2 more answers
The total weight of 15 boxes is 45 pounds .how much would 40 boxes weigh
Lera25 [3.4K]
40 boxes would weigh would weigh 120 pounds
5 0
3 years ago
Read 2 more answers
Solve for x. (have to add extra letters so the question works)
zloy xaker [14]

Answer:

x=11°

Step-by-step explanation:

-Sum of angles of a triangle should alway be 180 degrees

35+110+2+3x=180

-Add all known values

147+3x=180

-Subtract 147 from both sides

3x=33

-Isolate x by divind both sides by 3

x=11°

5 0
3 years ago
Solid: What is the surface area of the pyramid? 7
baherus [9]

Answer:

i am so sorry if its wrong

Each of the triangles making up the sides and base have a base of 8 cm and a height of 6.9 cm. Then the area of the pyramid is that of 4 such triangles.

 A = 4×(1/2)×b×h

 A = 2×(8 cm)×(6.9 cm)

 A = 110.4 cm²Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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