Answer:
49π cm²
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ( r is the radius )
Here diameter = 14, so r = 14 ÷ 2 = 7, then
A = π × 7² = 49π cm²
Answer: 
Step-by-step explanation:
Answer:
D is the similar triangle
Step-by-step explanation:
A quick solution to this problem is using the hypotenuse.
You know that sin(A) is 1/4 and sin is opposite / hypotenuse, so the hypotenuse should be a multiple of 4 in order for the fraction to reduce to 1/4. (it might not be, but I usually do this to see if there's a quick solution)
Using this trick, you find that the only triangle with a hypotenuse that is a multiple of 4 is the last triangle. Now simply double check the other trig. functions to check whether it truly is the same.
To check each trig function, you must first determine the corresponding angle to angle A. Again, for simplicities sake, let's use 1/4 as a determiner for the angle. The only combination of sides divided by hypotenuse that simplifies to 1/4 is 6/24. Therefore 6 must be opposite to the angle, since it's sin(a) = 1/4 and sin is opposite / hypotenuse. So the angle is X.
Now check for both cos and tan
Cos(x) = 6(15)^0.5 / 24 = (15)^0.5 / 4 CHECKS OUT
Tan(x) = 6 / 6(15)^0.5 = 1 / (15)^0.5 CHECKS OUT
Since everything checks out, then answer D is truly correct.
Answer:
Step-by-step explanation:
Where opposite = 55, hypotenuse = 73
![\displaystyle sin R = \frac{55}{73} \\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20sin%20R%20%3D%20%5Cfrac%7B55%7D%7B73%7D%20%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>
Answer:
Step-by-step explanation:
Given
Balls = 1 to 4
Required
Determine the probability of selecting ball numbered at least 2
Here, we'll assume that all numbers have the same probability.
The probability of each ball will be:
So:
Recall that
--- for each ball
So, the equation becomes
