The solution lies in quadrant I
Step-by-step explanation:
AC = 20
AB = 18
BC² = 20²+ 18² -2•20•18•cos(52°)
BC² = 280.72
BC = √280.72
BC ≈ 16.75
Angle C:
18² = 20² + 16.75² -2•20•16.75•cos(C)
324 = 400 + 280.72 -670•cos(C)
cos(C) = -356.72/-670
cos(C) ≈ 0.53
acos(0.53) = C
C = 57.8°
Angle B:
180-52-57.8 = 70.2°
Answer:
Each base angle would be equal to 36 degrees.
Step-by-step explanation:
In order to find the base angle measurements, we need to note that both angles would be equal to each other because it is an isosceles triangle. So, we subtract the vertex angle and then we divide by 2 to get the base angle measurements.
180 - 108 = 72
72/2 = 36 degrees
Answer:
<h2>7</h2>
Step-by-step explanation:
Let the point A(a, b) and the line x = k. The distance between the point A and the line k is equal |k - a|.
We have A(-3, 4) and x = 4. Substitute:
d = |4 - (-3)| = |4 + 3| = |7| = 7
Answer:
Option B is correct.
Step-by-step explanation:
Lateral surface area of cone = π*r*l
where r is the radius and l is the height of cone.
We are given height = l 24 cm
and diameter d = 10.5 cm
we know that radius is half of diameter i.e,
r = d/2
=> r = 10.5/2
r = 5.25
Putting the values in the formula:
Lateral surface area of cone = π*r*l
Lateral surface area of cone = π*5.25*24
Lateral surface area of cone = 126 π cm^2
So, Option B is correct.
