Answer:
The measure of angle L is 52
Step-by-step explanation:
Mathematically, in a triangle, the sum of the angles equal 180
So in this case;
J + K + L = 180
So therefore;
8x + 6 + 2x + 2 + 4x + 4 = 180
8x + 2x + 4x + 6 + 2 + 4 = 180
14x + 12 = 180
14x = 180 -12
14x = 168
x = 168/14
x = 12
So to get the measure of angel L, we simply substitute the value x in the equation for L
From the question, L = 4x + 4
So therefore L = 4(12) + 4 = 48 + 4 = 52
Step-by-step explanation:
The top part is a cone. It's volume is:
V = ⅓ π r² h
where r is the radius (half the diameter) and h is the height.
The bottom part is a cylinder. It's volume is:
V = π r² h
where r is the radius (half the diameter) and h is the height.
The radius of the cone is 36/2 = 18 ft, and the height is 12 ft. So the volume is:
V = ⅓ π (18 ft)² (12 ft)
V = 4,071.5 ft³
The radius of the cylinder is 36/2 = 18 ft, and the height is 39 ft. So the volume is:
V = π (18 ft)² (39 ft)
V = 39,697.2 ft³
Therefore, the total volume is:
4,071.5 ft³ + 39,697.2 ft³ ≈ 43,769 ft³
Answer:
D
Step-by-step explanation:
the value of the given expression when a = 2 is
2(2 + 6) = 2 × 8 = 16
calculating the values of the expressions when a = 2
A (2 × 2 ) + 2² = 4 + 4 = 8 ← less than 16
B (4 × 2) + 8 = 8 + 8 = 16 ← not greater than 16
C (2 × 2) + 12 = 4 + 12 = 16 ← not greater than 16
D + 2 = 16 + 2 = 18 ← greater than 16
The number of all divisors of 6 <span>
6 multiples of the number 18 we find one of
so the answer is 18
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