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:
The correct answer is third option
1/√3
Step-by-step explanation:
From the figure we can see a right angled triangle ABC.
Right angled at C.
AB = 10
AC = 5
BC = 5√3
<u>Points to remember</u>
Tan θ = Opposite side/Adjacent side
<u>To find the value of tan(B)</u>
Tan B = Opposite side/Adjacent side
= AC/BC
= 5/5√3
= 1/√3
Therefore the value of tan(B) = 1/√3
Answer:
x = 10
Step-by-step explanation:
Consecutive angles in a parallelogram are supplementary, thus
∠ A + ∠ B = 180, substitute values
9x + 8 + 8x + 2 = 180, that is
17x + 10 = 180 ( subtract 10 from both sides )
17x = 170 ( divide both sides by 17 )
x = 10
Answer:
14 ÷ 9 = 1.55555555556
9 ÷ 14 = 0.64285714285
14 ÷ 5 = 2.8
5 ÷ 14 = 0.35714285714
Step-by-step explanation:
pls mark me brainliest
Answer:
x≤9
Step-by-step explanation:
9+2x≤27
1) Subtract both sides by 9:
2x≤18
2) Divide both sides by 2:
x≤9
