Answer:
C
Step-by-step explanation:
circumfrence= 2πr
56.52=2πr
divide both sides by 2π to get your answer
r=9
C
Answer:
A,C,D
Step-by-step explanation:
Complete Question:
<em>"Which pairs of points would result in a line with a rate of change of 2:1? select all that apply"</em>
<em>A.(−4,−11) and (−2−7)
</em>
<em>B.(5,6) and (−5, 12)
</em>
<em>C.(0,−3)and (−4,−11)
</em>
<em>D. (0,−3) and (5, 7)</em>
<em />
Rate of change is the slope. 2:1 would mean a slope of simply, 2.
We need to find slope of each of the choices from A - D and see which one has 2. The formula would be:

Where m is the slope and
x_1 is first x point
x_2 is second x point
y_1 is first y point
y_2 is second y point
Let's calculate slope of each of the choices.
A.

THis one is okay.
B.

THis one is not 2:1.
C.

THis one is okay.
D.

This one is okay.
Hence, A, C, and D all have rate of change of 2:1
Answer:
m∠C = 66°
Step-by-step explanation:
Since AB = BD, it means this triangle is an Isosceles triangle and as such;
∠BAD = ∠BDA = 24°
Thus, since sum of angles in a triangle is 180,then;
∠ABD = 180 - (24 + 24)
∠ABD = 180 - 48
∠ABD = 132°
We are told that BC = BD.
Thus, ∆BDC is an Isosceles triangle whereby ∠BCD = ∠BDC
Now, in triangles, we know that an exterior angle is equal to the sum of two opposite interior angles.
Thus;
132 = ∠BCD + ∠BDC
Since ∠BCD = ∠BDC, then
∠BCD = ∠BDC = 132/2
∠BCD = ∠BDC = 66°
Answer:
960
Step-by-step explanation:
LxWxH = v
V = 20x 6 x 8
F(x) = cos x
f'(x) = -sin x
f''(x) = -cos x
f'''(x) = sin x
f''''(x) = cos x
90/4 = 22 Remainder 2
Therefore, 90th derivative of f(x) = cos x is -cos x.