Answer/Step-by-step explanation:
∆ABC is similar to ∆CDE. Therefore, the ratio of their corresponding sides are proportional.
This,
Solve for x
Use the value of x to find AC and DC
. A recipe calls for 3 teaspoons of salt for every 5 cups of flour. If you wanted to make a larger batch with 15 cups of flour,
1 answer:
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The first diagram below shows a circle with a radius of 1 (unit circle). The circle is drawn on a Cartesian graph with (0,0) as the center of the circle.
From the second diagram, we can determine the value of sin(Θ) = y
and cos(Θ) = x
We can further deduce that
tan(Θ) =
sec(Θ) =
= 
cosec(Θ) =
= 
cot(Θ) =
= 
From the second diagram, we can determine the value of sin(Θ) = y
and cos(Θ) = x
We can further deduce that
tan(Θ) =
sec(Θ) =
cosec(Θ) =
cot(Θ) =
Answer:
2196 fish
Step-by-step explanation:
Weight of fish that the killer whale might eat in a month (30 days) = 14,000 lb
Weight of the fish that killer whale might eat in a day = lb.
Average weight of the fish that killer whale eats = 3.4 oz
Since,
1 pound(lb) = 16 ounces(oz)
So,
Weight of the fish that killer whale might eat in a day in ounces(oz) = oz
Since, a certain fish weighs 3.4 oz, in order to find the number of fish that killer whale must eat, we must divide the total weight in ounces by 3.4 ounces.
So, the number of fish that killer whale would eat = fish
Thus, the killer whale needs to eat 2196 fish.
Answer:
- -2.2
- 1.4%
- -0.6
- 27.4%
- 26%
The z-value is computed from ...
... z = (x -µ)/σ
... z = (184 -206)/10 = -2.2 . . . . for $184
... z = (200 -206)/10 = -0.6 . . . . for $200
You can look up these values in a normal distribution table, or you can use an appropriate calculator to find the corresponding percentiles.
... -2.2 corresponds to the 1.390 percentile. (That amount of area is below -2.2 standard deviations from the mean.)
... -0.6 corresponds to the 27.425 percentile.
Subtracting the two percentages gives the percentage of expenses between $184 and $200. That number is 26.035% ≈ 26%.
_____
<em>Comment on the calculator display</em>
The difference that got cut off from the display in the attachment is ...
... 0.2603496703
The <em>normalcdf( )</em> function requires a lower limit. Using -8 standard deviations is effectively equivalent to -∞ for this purpose, as any lower number has no effect on the least-significant digits of the result.
