Answer:
A
Step-by-step explanation:
<h3>Numerator</h3>(3x)(3x) = 9x^2
√9x^2 = 3x
Numerator = 3x
<h3>Denominator</h3>√18y^2 = √18 · √y^2
√18 = 3√2
√y^2 = y
3√2y
Denominator = 3√2y
Now we need to rationalize the denominator, and get rid of the square root on the bottom
*
=
=
Answer: 1300 cm^3, 850 cm^2
Step-by-step explanation:
With a triangular prism, you need to calculate the surface area of the triangle first and then the length. Here's how to solve for the volume (A):
Triangles is b*h/2, plug in the equation
10*13/2
130/2
65
Now use the length of the rest of the shape, which is 20 cm.
65*20=1300
the volume is 1300 cm^3.
for B, finding the surface area requires you to analyze each individual part of the shape.
Each part colored in represents a different shape:
Red:
10*20=200
Blue:
13*10/2=65
65*2=130 (Two triangles)
Green:
13*20=260
260*2=520 (Two rectangles)
Add them all up together.
200+130+520= 850 cm^2
