Answer: width = 21, length = 47
<u>Step-by-step explanation:</u>
Length (L) = 2w + 5
width (w) = w
Perimeter (P) = 136
P = 2L + 2w
136 = 2(2w + 5) + 2w <em>substituted the given values above</em>
136 = 4w + 10 + 2w <em>distributed 2 on the right side</em>
136 = 6w + 10 <em>added like terms (4w and 2w)</em>
126 = 6w <em>subtracted 10 from both sides</em>
21 = w <em>divided both sides by 6</em>
Length (L) = 2w + 5
= 2(21) + 5
= 42 + 5
= 47
Answer: x=14
Explanation: the angle needs to equal the other angle, which is 63. To figure this out, we subtract 21 from 63. We get 42. 42 divided by 3 is 14. We are basically doing the equation in reverse.
Answer:
Glass A is too small, Glass B is large enough and Glass C is too small ....
Step-by-step explanation:
Glasses are cylindrical in shape. Thus the formula is:
V = π r² h
For Glass A:
r = d/2 = 3.5/2
r = 1.75
h = 4 inches
Now substitute the values in the formula:
V= 3.14*(1.75)^2 * 4
V= 3.14*3.0625*4
V= 38.465 in.³ < 50in.³
For Glass B:
V = π r² h
where h = 5 inches
r = 1.9 inches
Plug the values in the formula:
V=3.14*(1.9)^2*5
V= 56.677 in³ > 50in³
For Glass C:
V = π r² h
where h=6 inches
r = 1.5 inches
Plug the values in the formula:
V= 3.14*(1.5)^2*6
V= 42.39 in³ < 50 in³
Therefore Glass A is too small, Glass B is large enough and Glass C is too small ....
Answer:
{15 - {(25 x 2.4) + 7}}- (3 x 2) = -16
Step-by-step explanation:
15 - 25 x 2.4 + 7 - 3 x 2= -16 is the given equation.
Now by the rule of BODMAS:
here B = Bracket, O means Of, D means Divide, M means Multiplication , A means Addition and S means Subtraction.
So, according to this order start putting brackets.
first operation is multiplication, second is addition and then subtraction.
⇒ 15 - 25 x 2.4 + 7 - 3 x 2 = {15 - {(25 x 2.4) + 7}}- (3 x 2)
Hence, {15 - {(25 x 2.4) + 7}}- (3 x 2) = -16
The answer is in the image attached. I hope it is helpful.
