Length = l
width = 1/3 of length = l/3
perimeter = 2(l + l/3)
Answer is option B
-----------------------------------
2(l+ l/3) = 56
⇒ 8l/3 = 56
⇒ l = 3*56/8
⇒ l = 21 inch
width = 21/3 = 7inch
Area = 21*7 inch² = 147 inch²
Answer:
10701.97 feet.
Step-by-step explanation:
Refer the attached figure
The angle of elevation of a point, A, at the top of a cliff is 21° i.e. ∠ACB = 21°
The ship has sailed 2,500 feet directly toward the foot of the cliff i.e. CD = 2500 feet.
Then the angle of elevation becomes 47° i.e.∠ADB = 47°
Let BD be x
So, BC = BD+DC=x+2500
Let the height of the cliff be h feet.
In ΔABD
We will use trigonometric ratios



---a
In ΔABC
We will use trigonometric ratios




-----b
Equate a and b

Thus the height of the cliff is 10701.97 feet.
Answer:
11 x1 + 16 x2 + 25 x3 = 971
15 x1 + 22 x2 + 8 x3 = 1,104
9 x1 + 12 x2 + 17 x3 = 730
Step-by-step explanation:
Right on edg.
There are 4 blue marbles
There are 2 black marbles
There are 3 red marbles
There are a total of 9 marbles
You minus the black marbles from the total
9-2=7
If there are 7 non black marbles then the ratio is 7:9
7:9 is the probability that you won't get a black marble
The way to get this answer is to calculate the n value (number of weeks) multiplied by 3.50 plus the original value of 88 dollars
(3.50n)+88 =200
so first you subtract 88 from 200
3.50 x n= 112
then divide 3.50 by 112 to receive the value of n
n=112/3.5
n=32
so the answer is 32 weeks aka B