∠A = 24°
∠B = 87°
∠A = 24°
Explanation:
The sum of angles in a triangle is 180 degrees
let measure of angle A = ∠A
∠B = 15 more than three times the measure of angle A
∠B = 15 + 3∠A
∠C = 45° more than the measure of angle A
∠C = 45° + ∠A
∠A + ∠B + ∠C = 180° (sum of angles in a triangle)
∠A + 15 + 3∠A + 45° + ∠A = 180
collect like terms:
∠A + 3∠A + ∠A + 15 + 45 = 180
5∠A + 60 = 180
5∠A = 180 -60
5∠A = 120
∠A = 120/5
∠A = 24°
∠B = 15 + 3∠A = 15 + 3(24)
∠B = 87°
∠C = 45° + ∠A = 45° + 24°
∠C = 69°
Answer: b and c = 82 degrees
Explanation: Angle of a straight trine adds up to 180 degrees
180 - 98 = 82
Angle b and c are vertical angles, so they have the same measure.
The volume is very simple, is simply the product of the 3 dimensions, the length*width*height, so namely is 4*2*3.
now, how much material? well, that'd be the surface area, check the picture below. So the container is really just 6 rectangles stacked up to each other at the edges.
left and right, two 2x3 rectangles.
top and bottom, two 4x2 rectangles.
front and back, two 4x3 rectangles.
get the area of each, sum them up, and that's the surface area of the rectangular prism, and therefore that's how much material was used.
Answer:
To find the volume you will find each volume separately. The volumes will be found by finding the areas of the bases and multiplying them by the heights.
V = BH
23.4 x 3 = 70.2 cubic inches for The hexagonal prism and. 9 x 3 = 27 cubic inches for the cube
97.2 cubic inches is the total volume.
FIRST ONE