Answer: Approximately d = 208.72
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Work Shown:
Make sure your calculator is in radian mode
A quick way to check is to compute cos(pi) and you should get -1
cos(angle) = adjacent/hypotenuse
cos(x) = 200/d
cos(0.29) = 200/d
d*cos(0.29) = 200
d = 200/cos(0.29)
d = 208.715135166392 which is approximate
d = 208.72
I rounded to two decimal places since x is rounded in that manner as well. Round however else you need if your teacher instructs.
Answer:
C. 5 goes into 100 twenty times, and 1 times 20 is 20
Step-by-step explanation:
Since, we know that when we multiply both numerator and denominator of a fraction by a same number then we obtain an equivalent fraction,
Here, the given fraction,

By the above statement,

Now,


Hence,

Option C is correct.
Answer:
80 m^2
Step-by-step explanation:
The given information lets you write two equations involving length (x) and width (y).
- 2(x +y) = 36 . . . . the perimeter is 36 m
- (x+1)(y+2) -xy = 30 . . . . increasing the length and width increases area
The second of these equations simplifies to another linear equation, giving a system of linear equations easily solved.
xy +y +2x + 2 -xy = 30
2x +y = 28 . . . . . . . subtract 2
Dividing the first equation by 2 gives
x +y = 18
and subtracting this from the above equation gives ...
(2x +y) -(x +y) = 28 -18
x = 10
Then
y = 18 -10 = 8
The area of the original rectangle is xy = 10·8 = 80 m^2.
explanation:
There isn't an exact way to answer this problem. Is there more to the question? If not, I am unable to answer it for you.
Answer:
<em>75.6</em>
Step-by-step explanation:
100% - 73% = 27%
27% = 0.27
280 × 0.27 = <em>75.6</em>