Answer:
B.) 20 degrees
Step-by-step explanation:
We know that the sum of angles in a triangle is equal to 180, so we can say that 80 + 4x + x is equal to 180. This means that 5x is 100 degrees, meaning that x = 20 degrees. The option with this answer is B.).
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:
.700
Step-by-step explanation:
Answer: 40 by 60
Step-by-step explanation:
You are given a scale of 1 inches=20 ft
For the 2 inch dimension, you get:
2*20=40
For the 3 inch dimension, you get:
3*20=60
Therefore, the real dimensions of the doctors office from 2 in. by 3 in. are respectively 40 ft, by 60 ft.
Hope this helped!
Following PEMDAS, we see that the prodcut of x and 5 is 5x, adding two to it would leave 5x + 2