Answer:
Ф = 0.3 radians
Step-by-step explanation:
The arc length formula is s = rФ. Solving for the angle measure Ф, we get:
Ф = s/r
and so with r = 10 m and s = 3 m, we get Ф = 3 m / 10 m = Ф = 0.3 radians
Answer:
239.34 ft²
Step-by-step explanation:
The lateral surface area of the entire cone is 188.40 ft² and the lateral surface area of the missing cone is 112.34 ft².
Therefore, the lateral surface area of the given stand cut from the right circular cone is (188.4 - 112.34) = 76.06 ft²
Hence, the total surface area of this given stand cut from the right circular cone = 76.06 + area of the two horizontal surfaces at top and at bottom.
= 76.06 + π × 4² + π × 6²
= 76.06 + 3.14(16 + 36)
= 76.06 + 163.28
= 239.34 ft² (Answer)
Answer:
option d is equivalent to the term
Answer:
y = 3x² – 9b + 3 and the parabola opens upwards since a = 3 > 0.
Step-by-step explanation:
The general equation of a parabola is:
y = ax² + bx + c
So we have to solve for a, b and c to get our equation with the 3 given points.
When x = 0 and y = 3 we have
3 = a(0)² + b(0) + c, this means c = 3
When x = 4 and y = 15
15 = a(4)² + b(4) + 3 we have
16a + 4b = 12 which is
4a + b = 3
When x = 5 and y = 33 we have
33 = a(5)² + b(5) + 3 we have
25a + 5b = 30 which gives
5a + b = 6.
We have two equations
4a + b = 3
5a + b = 6
Eliminating b we have
a = 3, substituting a = 3 in the first equation we have
4(3) + b = 3
12 + b = 3
b = –9
Our equation therefore is:
y = 3x² – 9b + 3 and the parabola opens upwards since a = 3 > 0.
The length of
two sides of a triangle are 14 inches and 4 inches. The answer would be 11 i believe.
