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2 answers:
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Answer:
Step-by-step explanation:
Given
Required
Determine the number of brownies left
If:
and there are 28 students
Then:
To determine the number of brownies left, we have:
Reorder
Collect Like Terms
<em>Hence, there are 33 brownies left</em>
If ΔACB is an isosceles triangle, then ∠A ≅ ∠B and AC ≅ CB
Since ∠C = 120° and ∠A + ∠B + ∠C = 180°, then ∠A = 30° and ∠B = 30°
Next, look at ΔADB. ∠A + ∠D + ∠B = 180°, so ∠A + 90° + 30° = 180° ⇒ ∠A = 30°
Now look at ΔADC. Since ∠A = 30° in ΔACB, and ∠A = 60° in ΔADB, then ∠A = 30° in ΔADC <em>per angle addition postulate.</em>
Now that we have shown that ΔADB and ΔADC are 30-60-90 triangles, we can use that formula to calculate the side lengths.
CD = 4 cm (given) so AC = 2(4 cm) = 8 cm
Since AC ≅ BC, then BC = 8 cm. Therefore, BD = 4 + 8 = 12 <em>by segment addition postulate.</em>
Lastly, look at ΔBHD. Since ∠B = 30° and ∠H = 90°, then ∠D = 60°. So, ΔBHD is also a 30-60-90 triangle.
BD = 12 cm, so HD = = 6 cm
Answer: 6 cm
Answer:
The APR at which the money is borrowed, is approximately 651.79%
Step-by-step explanation:
The amount which one wishes to borrow for two weeks, P = $600
The amount of interest that one must pay back = $25 per $100 borrowed
Therefore;
The total interest on the $600 loan (borrowed) for two weeks = 25/100× $600 = $150
The number of days for which the amount was borrowed = 2 weeks = 14 days
The Annual Percentage Rate, APR is given as follows;
Therefore, we get
The annual rate at which the money is borrowed, APR ≈ 651.79%.