Answer: 610,416 lb
<u>Step-by-step explanation:</u>
Volume of a cylinder (V) = π r² · h
V = π (12)² · 30
= 4320 π
Density = Volume x weight
= 4320 π · 45
= 194,400 π
≈ 610,416
Answer:
a =17.08
b = 16.97
Step-by-step explanation:
What are the values of a and b?
Using pythagoras therem';
Hyp^2 = opp^2 + adj^2
Get the value of b;
18^2 = b^2 + 6^2
324 = b^2 + 36
b^2 = 324 - 36
b^2 = 288
b = √288
b = 16.97
Get the value of a;
b^2 + 2^2 = a^2
288 + 4 = a^2
292 = a^2
a^2 = 292
a = √292
a= 17.09
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°
The answer is C. This would make the total cost 90 dollars without paying for a membership card or shipping.