Answer:
Angle 1 and angle 3 are congruent by Vertical Angle theorem. It can also be proven using reflection.
Step-by-step explanation:
Two line segments which intersect form one intersection point which has 4 angles from it. Angles 1 and 3 will be directly across from each other off this intersection point. Vertical Angle Theorem states these are congruent.
Angles can be reflected across this intersection point. Since reflection preserves size and shape, these two angles will land on one another and be the same angle.
Answer:
r = 16 cm
g = 34 cm
LA = 1708.16 cm^2
Step-by-step explanation:
We have that for the cone, the formula is as follows:
v = pi / 3 * r ^ 2 * h
the first thing they ask is to calculate the radius, therefore we solve for r
r ^ 2 = 3 * v / (pi * h)
replacing the volume and height, it remains:
r ^ 2 = 3 * 2560 * pi / (pi * 30)
r ^ 2 = 3 * 2560/30 = 256
r = 16
Now, to calculate the slant height, that is to say g, we can calculate it knowing the height and the radius:
g ^ 2 = r ^ 2 + h ^ 2
g ^ 2 = 16 ^ 2 + 30 ^ 2
g ^ 2 = 1156
g = 34
The lateral area of the cone is given by the following equation:
LA = pi * r * g
replacing
LA = 3.14 * 16 * 34
LA = 1708.16 cm ^ 2
the lateral area is 1708.16 cm ^ 2
Answer:
A
Step-by-step explanation:
When completing the square, the first thing you want to do is get all of the numbers on one side, and all the x terms on the other.
Answer:
1/12 or 0.0833
Step-by-step explanation:
1/2 divided by 6
1/2x6
1/12!
It is b 4/3+2/3 is 6/3 and 6/3 divided by 1/3 is 2/3x
