Answer:
53.54m
Step-by-step explanation:
Using the formulas
A=πr2
d=2r
Solving for d
d=2A
π=2·2251
π≈53.53562m
<h3>
Answer: Choice D) 31.2 miles</h3>
This value is approximate.
============================================================
Explanation:
Let's focus on the 48 degree angle. This angle combines with angle ABC to form a 90 degree angle. This means angle ABC is 90-48 = 42 degrees. Or in short we can say angle B = 42 when focusing on triangle ABC.
Now let's move to the 17 degree angle. Add on the 90 degree angle and we can see that angle CAB, aka angle A, is 17+90 = 107 degrees.
Based on those two interior angles, angle C must be...
A+B+C = 180
107+42+C = 180
149+C = 180
C = 180-149
C = 31
----------------
To sum things up so far, we have these known properties of triangle ABC
- angle A = 107 degrees
- side c = side AB = 24 miles
- angle B = 42 degrees
- angle C = 31 degrees
Let's use the law of sines to find side b, which is opposite angle B. This will find the length of side AC (which is the distance from the storm to station A).
b/sin(B) = c/sin(C)
b/sin(42) = 24/sin(31)
b = sin(42)*24/sin(31)
b = 31.1804803080182 which is approximate
b = 31.2 miles is the distance from the storm to station A
Make sure your calculator is in degree mode.
-> 40 hours per week, 52 weeks a year
<u>shop and save grocers</u>
monthly wages: $3,800
hourly wages: $3800 / 160 = $23.75 per hour
yearly wages: $23.75 per hour x 40 hours per week x 52 weeks a year
= $49,400
<u>unbelievable toys</u>
yearly wages: $43,000
<u>convenience store</u>
$16.50 per hour x 40 hours per week x 52 weeks a year
= $34,320
49,400 - 34,320 = 15,080
..? that's not even an answer choice what-
A watch decreased in price by
4
5
. After the reduction it was priced at £10. What was the original price of the watch?
