Part A:
1 solution. It is a linear equation => one solution.
Part B:
3(2x - 7) = 3
(divide through by 3) 2x - 7 = 1
(add 7 to both sides) 2x = 8
(divide through by 2) x = 4
Answer:
SAS (side-angle-side)
Step-by-step explanation:
In the given picture, it is shown that the triangles have two congruent sides, and one congruent angle between them. The congruent sides are shown by the lines on the sides. The congruent angle is shown by the box outlining the angle (technically a box outlining the angle demonstrates that the angle is a right angle, either way, it proves the congruency).
Answer:
2,236 square inches
Step-by-step explanation:
A=86*52/2=2,236 square inches
Answer:
196π
Step-by-step explanation:
cylinder: π * (7/2)^2 * 13
cone: 1/3 π (7/2)^2 * (22-13)
Answer:
176 in³
Step-by-step explanation:
Area is a 2-dimensional measure, so the scale factor for area of similar figures is the 2nd power of the linear scale factor. That is, the ratio of linear dimensions of the two figures is ...
smaller/larger = √(228/1425) = √(4/25) = 2/5 . . . . linear scale factor
Volume is a 3-dimensional measure, so the scale factor for volume of similar figures is the 3rd power of the linear scale factor. That is, the ratio of volumes of the two figures is ...
smaller/larger = (2/5)^3 = 8/125 . . . . . . . . volume scale factor
Multiplying this by the larger volume gives us the smaller volume:
(8/125)·(2750 in³) = 176 in³