Hey there :)
We know the volume formula of a triangular prism
Volume = base area × height of prism
We are given:
Base of triangle = 5 ft
Height of triangle = 3 ft
Height of prism = 7.5 ft
Apply the formula
V =
( 5 )( 3 ) × 7.5
= 7.5 × 7.5
= 56.24 ft³
Answer:
- Dilation
- Reflection
- Translation
- Rotation
- Reflection
- Translation
Step-by-step explanation:
<em>Dilation</em>
Dilation multiplies the distance from a point to the center of dilation by the dilation factor. It does this for every point.
The center of dilation itself has zero distance from the center of dilation. Multiplying that by the dilation factor still gives zero, so the point that is the center of dilation remains unchanged.
<em>Reflection</em>
Reflection mirrors a point across some line. Each point ends up the same distance on the other side of the line that it was originally from the line.
The segment joining a point with its reflection is perpendicular to the line, so the line of reflection is the perpendicular bisector of the segment joining any point with its image.
<em>Rotation</em>
The angle defined by a point, the center of rotation, and the point's image is the angle of rotation. It is the same for every point.
The center of rotation doesn't go anywhere; it is "invariant".
<em>Translation</em>
Moving an image without changing its size or orientation is translation. Every point moves the same distance in the same direction, so any lines in the original figure have the same length and orientation in the translated figure: they are parallel.
Answer and Step-by-step explanation:
You are correct in that we need to use the Law of Sines: 
.
Here, when we use the Law of Sines, we have: 
.
Cross multiply:
(sinB) * 28 = (sin63) * 29
28sinB ≈ 25.839
sinB ≈ 0.9228
Now, in order to solve for B, we need to use inverse sin (
):
The sines on the left cancel out, and we're left with:
B ≈ 67.3 degrees
Now, one thing to keep in mind when doing Law of Sines is that there is potentially more than one answer possible for the degree measure. The other degree measure can be found by subtracting this one from 180:
180 - 67.3 = 112.7 degrees.
Hope this helps!
Please mark Brainliest
The answer is 17. 72
Step by step
0.02x^2 = 6.28
x^2 = 6.28 / 0.02
x^2 = 314
x= square root of 314
x = 17. 72
