Answer:
Step-by-step explanation:
Since B is right angle, AC is hypotenuse as opposite it.
BC is opposite to angle A which is 33°.
<u>We know that:</u>
- sine = opposite / hypotenuse
<u>So we have:</u>
- sin 33° = BC / 7 ⇒ BC = 7 sin 33°
Correct choice is C
Answere: I believe that the answere is C.
Step-by-step explanation:
Well,since the lines A and B are paralel and the line y is not paralel with any of then y and A are not paralel.Plus there is not a line called x in this particular equazion.If you have any questions , please contact me.
Yours sincerely,
Manos
Answer:
The maximum possible area of the pasture = 2450 square feet
Step-by-step explanation:
Let the length of the creek be 'L'
and, the width of the rectangular area be 'B'
Data provided:
The rectangular area is enclosed using the creek as one side and fencing for the other three sides
Thus, 2B + L = 140 feet
or
L = 140 - 2B .........(1)
Now,
Area of the rectangular land, A = L × B
using (1)
A = ( 140 - 2B) × B
or
A = 140B - 2B²
Now to maximize the area, differentiating the area with respect to width 'B'
we have
= 140 - 2 × 2 × B ...........(2)
for point of maxima or minima , = 0
thus,
140 - 2 × 2 × B = 0
or
4B = 140
or
B = 35 feet
differentiating (2) with respect to B, for verifying the maxima or minima
= 0 - 2 × 2 = -4
since, is negative,
therefore,
B = 35 feet is point of maxima
from (1)
L = 140 - 2B
or
L = 140 - 2 × 35
or
L = 140 - 70 = 70 feet
Hence,
The maximum possible area of the pasture = L × B
= 70 × 35
= 2450 square feet
Answer:
We are 90% confident that the true proportion of teenagers who have used at least one informal element in school writing assignments is between 0.464 and 0.518
Step-by-step explanation:
We can begin finding the estimator for the proportion of interest:
The confidence level is 90% , and the significance level would be given by and . And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
Replacing the info given we got:
We are 90% confident that the true proportion of teenagers who have used at least one informal element in school writing assignments is between 0.464 and 0.518
Answer:
64°
.
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