Answer:
no
Step-by-step explanation:
4x -3 = 16
x=19/4
4(x-3) = 16: Distribute the number in the parenthesis with 4 and you get:
4x-12=16
x=7
4x-12=16 is not the same as 4x-3=16
Therefore they do not have the same solution.
Using rigid motion, both of these triangles will be congruent. The reason is because rigid motions include reflections, translations, and rotations.
None of these transformations will affect the size or shape of the figure, therefore keeping them congruent.
Answer:
D. 6.3 in^3
Step-by-step explanation:
V= 1/3 (3.14)(r^2)(h)
V= 1/3 (3.14) (1^2)(6)
V=6.3 in^3
Answer:
Total Surface Area: A = 88 square cm
Step-by-step explanation:
Volume V = 48 cubic cm
So this cuboidal box is actually a rectangular prism.
V = L * W* H
L = length, W = breadth, H= height
With L: W : H = 3: 2: 1
L:W = 3: 2
W: H = 2: 1
L/W = 3/2, L = (3/2)*W
W/H = 2/1 , W = 2*H
L = (3/2)*(2H) = 3H
So : V = L * W * H = (3H) * (2H) * H = 6 * H^3
48 = 6 * H^3
48/6 = 8 = H^3
H = cube-root(8) = 2 cm
so ...
W = 2*H = 2*2 = 4 cm
L = (3/2)*W = (3/2)* 4 = 6 cm
Total Surface Area: A = 2*LW + 2*LH + 2*WH
A = 2*(6 * 4) + 2*(6 * 2) + 2*(4 * 2)
A = 2*24 + 2*12 + 2*8
A = 48 + 24 + 16
A = 48 + 40
A = 88 square cm
Answer:
They will not have the same weight during the program
Step-by-step explanation:
Let x be the number of weeks.
<u>Sandra:</u>
Sandra is starting at 150 pounds and plans to lose 1 pound a week.
Weight after x weeks:

<u>Bernice:</u>
Bernice is starting at 135 pounds and plans to lose 1/2 a pound a week.
Weight after x weeks:

Weights must be the same, so

Since 30 weeks is more that 12 weeks (the duration of the program), they will not have the same weight during this program.