Answer:
360 pi in ^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
We know the diameter is 12 so the radius is 1/2 the diameter
r = d/2 = 12/2 = 6
V = pi (6)^2 * 10
V = pi (36)*10
V = 360 pi in ^3
We can approximate pi by 3.14
V =1130.4 in ^3
Or we can approximate pi by using the pi button
V =1130.973355 in ^3
The order of rotational symmetry of a kite is 1
This in the simplest form will be 2/15. You cannot divide this answer by anything which means it is in its simplest form!
Please give brainliest❤️
Answer:
Yes, we can conclude that Triangle ABC is similar to triangle DEF because the measures of the 3 angles of both triangles are congruent.
Step-by-step explanation:
We have the measure of 2 angles from both triangles, and we know that triangles have 180°, so we can solve for the measure of the third angle for both triangles.
Triangle ABC:
Measure of angle A= 60°
Measure of angle C= 40°
Measure of angle B = 180°- (measure of angle A + measure of angle C) = 180° - (60° + 40°) = 80°
Triangle DEF
Measure of angle E= 80°
Measure of angle F= 40°
Measure of angle D= 180° - (measure of angle E + measure of angle F) = 180° - (80° + 40°) = 60°
The measures of the angles in Triangle ABC are: 60°, 40°, and 80°.
The measures of the angles in Triangle DEF are: 60°, 40°, and 80°.
Since the measure of 3 angles of the two triangles are the same, we know that the two triangles are similar.