Answer:
<h2>3.6°</h2>
Step-by-step explanation:
The question is incomplete. Here is the complete question.
Find the angle between the given vectors to the nearest tenth of a degree.
u = <8, 7>, v = <9, 7>
we will be using the formula below to calculate the angle between the two vectors;
is the angle between the two vectors.
u = 8i + 7j and v = 9i+7j
u*v = (8i + 7j )*(9i + 7j )
u*v = 8(9) + 7(7)
u*v = 72+49
u*v = 121
|u| = √8²+7²
|u| = √64+49
|u| = √113
|v| = √9²+7²
|v| = √81+49
|v| = √130
Substituting the values into the formula;
121= √113*√130 cos θ
cos θ = 121/121.20
cos θ = 0.998
θ = cos⁻¹0.998
θ = 3.6° (to nearest tenth)
Hence, the angle between the given vectors is 3.6°
Answer:
The perimeter is 92 ft
Step-by-step explanation:
Add all of the sides up
Answer:
It will be worth 16k in 10 years
Step-by-step explanation:
divide 20k by 100
1% = 200 dollars
200 x 8 gives you 1.6k
1.6k x 10 = 16k
The larger number is 17
<em><u>Solution:</u></em>
Let "x" be the larger number
Let "y" be the smaller number
<em><u>The difference between of two numbers is 9</u></em>
Therefore,
larger number - smaller number = 9
x - y = 9 -------- eqn 1
<em><u>The large number is one more than twice the smaller number</u></em>
Larger number = 1 + 2(smaller number)
x = 1 + 2y ------ eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
<em><u>Substitute eqn 2 in eqn 1</u></em>
1 + 2y - y = 9
1 + y = 9
y = 9 - 1
y = 8
<em><u>Substitute y = 8 in eqn 1</u></em>
x - 8 = 9
x = 8 + 9
x = 17
Thus the larger number is 17
