Answer:
cos ∠CBD = - 4√41 / 41
Step-by-step explanation:
AB = 4 ΔABC = (4 x AC) / 2 = 10
AC = 5
BC = √5² + 4² = √41
cos ∠CBD = cos (180° - ∠CBA) = cos 180° cos ∠CBA + sin 180° sin ∠CBA
(cos 180° = - 1 sin 180° = 0 cos ∠CBA = 4 / √41 )
cos ∠CBD = (-1) x cos ∠CBA = - 4 / √41 = - 4√41 / 41
Lets solve the equalities first.
NP>MN
Cancel out the N
P>M
Next
MP<MN
Cancel out the M
P<N
M<P<N
The answer is C.
Answer:
answer a
Step-by-step explanation:
< 
- Let's isolate
on one side of the equation. Ignore the inequality for now. We'll deal with that later.

- Now, I'm going to bring back the inequality or < symbol. I only removed it when simplifying and isolating
, but if this confuses you, just do your math and keep the inequality there.
< 
- On a number line, this would include every number <em>less than </em>
, due to the < (less than) symbol. This disqualifies answers b and d because they are showing every number <em>greater than </em>
. But, how do we decide between answers a and c? - If a line has point at its beginning,
, then that means that every number <em>less than or equal to</em> [ ≤ ] 6 is being shown, but our equation just says <em>less than </em>[ < ] 6, so answer a is our correct answer.
Answer:
35
Step-by-step explanation:
If is given the value -8 as it is the input then -->
y = -4(-8) + 3
Negative four times negative 8 is positive 32 so
y= 32 + 3
And 32 plus 3 is 35
A) $7. 69 change she will get back when she use 50.00 for her pants and sweater