Answer:
Step-by-step explanation:
3x + 6 + 4x + 20 = 180
7x + 26 = 180
7x = 154
x = 22
mA= 3(22)+6 =66+6 = 72°
mB= 4(22)+20 = 88 + 20 = 108°
The question is asking to complete the passage about the sum of angle of the exterior angles of an n-gon, one at each vertex, and i would say that it should be 360 degree. I hope you are satisfied with my answer and feel free to ask for more if you have question and further clarification
1) Here, as the two angles are same, it would be isosceles triangle with two equal sides, so x = 5
y = x√2
y = 5√2 or 7.05
In short, Your Answers would be: x = 5 & y = 7.05
2) We know, Sin Ф = P / H
Sin 30 = 27 / H
1/2 = 27 / H
H = 27 * 2
H = 54
In short, Your Answer would be 54 Feet
Hope this helps!
θ = 52.71° or 232.71°
In radians
θ = 0.2928π rad or 1.2928π rad
That is,
θ = 0.92 rad or 4.06 rad
Step-by-step explanation:
Cot θ = 0.7615 for 0 ≤ θ ≤ 2π
Note that Cot θ = (1/tan θ)
(1/tan θ) = 0 7615
tan θ = (1/0.7615) = 1.3132
θ = tan⁻¹ (1.3132) = 52.71°
But, note that tan is also positive in the 3rd quadrant, hence,
θ is also equal to 180° + 52.71° = 232.71°
θ = 52.71° or 232.71°
We now convert to radians
360° = 2π
52.71° = (52.71 × 2π)/360 = 0.2928π = 0.92 radian
232.71° = (232.71 × 2π)/360 = 1.2928π = 4.06 radians
Answer:
Ok, we know that we can write a horizontal translation as:
y' = f(x - A)
where if A is positive, this moves the graph of f(x) A units to the right.
Why is this?
Ok, let's compare:
y = f(x)
and
y' = f(x - A)
in y, when x = 0 we have f(0).
While to have this same point in y', we need to evaluate in x = A.
f(A - A) = f(0).
Then the value f(0) is now at x = A, this means that the point moved A units to the right.
And you can do this for all the values, so you will find that the entire graph of f(x) has ben moved A units to the right.