Answer:
71.6 degrees
Step-by-step explanation:
Given the vectors
u= <8,4> v = <9.-9> (5 points)
u*v = (8, 4)*(9, -9)
u*v = 8(9)+(4)(-9)
u*v = 72 - 36
u*v = 36
|u| = √8²+4²
|u| = √64+16
|u| = √80
|v| = √9²+9²
|v| = √81+81
|v| = √162
Using the formula
u*v = ||u||v| cos theta
36 = √80(√162)cos theta
36 = √12960 cos theta
cos theta = 36/√12960
cos theta = 36/113.8
cos theta = 0.3162
theta = arccos(0.3162)
theta = 71.56 degrees
Hence the angle between the given vectors to the nearest tenth of a
degree is 71.6 degrees
Answer:
Step-by-step explanation:
322+63
?=
0
385≠0
False
Answer:
1/2
Step-by-step explanation:
Blue + yellow = 3 + 2 = 5 out of 10 slices
5 out of 10 = 5/10 = 1/2
Answer:16 quarters and 3 dimes
Step-by-step explanation:
430/25 (Quarters) = 17
25x16
(Because you can’t have 17 since 25x17=425 leaving no room for dimes.)
=400
Now 430-400=30
30 more cent is needed,
30/10(Dime value)
Is 3, so the answer is the man has 16 quarters and 3 dimes
Answer:
B) ∠z = 40°
Step-by-step explanation:
<u>All three angles of a triangle add up to 180°</u>. In this image, you can see that the angle ∠ACD is 130°. Because ∠ACB and ∠ACD are supplementary angles it means that their angles equal 180° when added together.
If ∠ADC = 130° then:
180° - 130° = 50°
Since we now know that ∠ACB is 50°, we can subtract our two angles from 180° to get the measurement for angle z.
180° - 50° - 90° =
180° - 140° = 40°
~Hope this helps!~
