Answer:
12
Step-by-step explanation:
It is worthwhile memorizing the ratios of legs in a 30°–60°–90° triangle. Shortest to longest, the ratios are ...
1 : √3 : 2
Then the sides marked will have the ratio ...
6 : x = 1 : 2 = 6 : 12
x = 12
_____
You can also get there using trigonometry.
cos(60°) = 6/x
x = 60/cos(60° = 60/0.5
x = 12
Answer:
Hence first graph is the correct answer.
T I
1 28
2 56
3 84
4 112
Step-by-step explanation:
Given that initial amount P = $400
Simple rate of interest = R = 7% = 0.07
Time t= 1,2,3,4 years.
Then apply Simple interest formula to find the total interest earned in the given years.
I=PRT
for t=1 year
I=PRT=400(0.07)(1)=28
for t=2 year
I=PRT=400(0.07)(2)=56
for t=3 year
I=PRT=400(0.07)(31)=84
for t=4 year
I=PRT=400(0.07)(4)=112
Now we have table as shown below:
T I
1 28
2 56
3 84
4 112
Graphing these points we see that obtained graph best matches with First choice .
Hence first graph is the correct answer.
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Let's simplify step-by-step.
5x^3 + 3 + 2x^3 − x^2 + 1
= 5x^3 + 3 + 2x^3 + −x^2 + 1
Combine Like Terms:
= 5x^3 + 3 + 2x^3 + −x^2 + 1
= ( 5x^3 + 2x^3 ) + ( −x^2 ) + ( 3 + 1 )
= 7x^3 + −x^2 + 4
Answer:
= 7x^3 − x^2 + 4
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Park p :
18/82 = 0.219 = 21.9% green birds
park q :
39/88 = 0.443 = 44.3% green birds
park r :
38/64 = 0.593 = 59.3% green birds
park service :
22/50 = 0.44 = 44%
park with greatest percentage of green birds is park r <==
Answer:
must also be positive
Step-by-step explanation:
The sign of the correlation coefficient indicates whether the fitted line is sloping upwards or downwards, so it should be consistent with the sign of the slope of the fitted line. so if the correlation line is poitive so should the regression line
