Answer:
Step-by-step explanation:
10b +18 <2(4b +2)
10b +18 <8b +4
10 b - 8b <4 - 18
2b <-16
b <-16:2
b <-8
Answer:
- (A)Six of the one-half cubes would have a volume of 3 cubic units.
- (D)Three of the one-third cubes will make 1 unit cube.
- (E)Two of the one-half cubes will make 1 unit cube.
- (F)Both stacks will have a volume of 3 cubic units.
Step-by-step explanation:
Marissa claims that stacking 6 blocks with dimensions of
will give the same volume as stacking 9 blocks with dimensions of
.
First, let us examine the volume of each of the blocks.
<u>For Block 1</u>
The dimensions are:

Volume of 1 block = 
Volume of 6 blocks of dimension

<u>For Block 2
</u>
The dimensions are:
Volume of 1 block =
Volume of 9 blocks of dimension
The following statements out of Marissa's claim are true:
(A)Six of the one-half cubes would have a volume of 3 cubic units.
(D)Three of the one-third cubes will make 1 unit cube.

(E)Two of the one-half cubes will make 1 unit cube.

(F)Both stacks will have a volume of 3 cubic units.
So first you do length x width x height in this case 1.4 x 1.4 x 1.4
The interior angles sum to 180°, so the missing angle has measure
180° - 106° - 12° = 62°
Use the law of sines to find RS:
sin(106°)/RS = sin(62°)/34 ⇒ RS = 34 sin(106°)/sin(62°) ≈ 37
Answer: - 0.8
Explanation I subtracted y2 and y1
(3-(-5) = 8
then subtracted x2 and x1
((-8) -2) =-10
Then I divide 8 and -10
And I got -0.8