Someone check my answers?
1 answer:
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Answer:
neither I believe because they intersect
Answer:
Step-by-step explanation:
The formula to find the angle between 2 vectors is
which is the dot product of u*v over the (magnitude of u times the magnitude of v). We also know that θ =
. Filling in that formula requires us to find the dot product of u and v, which is
u·v = (2×(-6)) + (a×8) so
u·v = -12 + 8a. Then we need the magnitudes of both u and v:
and
Putting all of together looks like this:
. Cross multiply to get
which is tricky to simplify. You really need to know the rules for multiplying radicals to do this correctly. The simplification is
and we need to solve for a. Begin by squaring both sides to get rid of the square root to get:
100(8 + 2a²) = 256a² - 768a +576 and simplify some more by distributing through the parenthesis to get
800 + 200a² = 256a² -768a + 576. Combine like terms to come up with
0 = 56a² - 768a - 224 and we need to factor that. Assuming since you're this far in math (pre-calc or maybe late algebra 2) you know how to factor, when you do, you get values for a of - .285714... and 14.
Therefore, the value for a is 14. I checked it...it works
Answer:
The length of the rectangle is 9 inches.
The height of the rectangle is 11 inches.
Step-by-step explanation:
Given : The volume of a rectangular solid can be written as V=LWH, where L is the length of the solid, W is the width, and H is the height. A box of cereal has a width of 2 inches. It’s height is 2 inches longer than it’s length. If the volume of the box is 198 cubic inches.
To find : What are the length and height of the box ?
Solution :
The width of the box is L inches
The width of the box is W=2 inches
The height is 2 inches longer than it’s length i.e H=L+2
The volume of a rectangular solid is
Reject L=-11 as dimension cannot be negative.
The length of the rectangle is 9 inches.
The height of the rectangle is 11 inches.