Answer:
39.91 degrees.
Step-by-step explanation:
Formula
Sin(A)/a = Sin(B) / b
Givens
Solution
Sin(84)/31 = Sin(B)/20
20*Sin(84) / 31 = Sin(B)
Sin(B) = 0.6416
B = 39.91 degrees.
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This looks like it is right, but you should check. Let h be the height opposite angle A.
h/20 = sin(39.91)
h = 20*sin(39.91)
h = 12.83
31 has to be longer than that amount (which it is.) So there is one solution.
Answer:
147/100
Step-by-step explanation:
Answer:
$315
Step-by-step explanation:
You are going to want to use the simple interest formula for this. The one below is modified for solving the interest earned.
I = interest amount
P = principal amount
r = interest rate (decimal form)
t = time
Now we can plug in the values into the equation:
This means that Rachel earned $315 worth of interest in the 15 year period.
Answer: The required probability is 2.24%.
Step-by-step explanation:
Since we have given that
Percentage of people are senior citizens ( 65 years old or older ) = 14%
Percentage of people are under 65 years old = 100-14 = 86%
Probability that senior citizens get the flu each year = 16%
Probability that under 65 years old get the flu each year = 30%
So, Probability that a person selected at random from the general population is senior citizen who get the flu this season is given by
Hence, the required probability is 2.24%.
Answer:
Area = 14¹/16 yd² or 14.0625 yd²
Step-by-step explanation:
2. The figure given is a square having equal sides of 3¾ yd each.
Formula for area of the square = a²
Where,
a = 3¾ yd
Plug in the value into the equation:
Area = (3¾)²
Change to improper fraction
Area = (15/4)²
Area = 225/16
Area = 14¹/16 yd² or 14.0625 yd²
