Answer: (B) - 43°
Explanation: Using the sine rule, we can say that sinA/BC = sinC/AB
sin(61)/45 = sin(C)/35
sin(C) = 35sin(61)/45
sin(C) ≈ 0.680259772....
C = arcsin(0.680259772...)
C = 42.8639459...
C ≈ 43°
Answer:
The amount Trevor's family pay per minute on shower water is $0.005.
Step-by-step explanation:
The cost of water is,
Cost = $0.20/liter
Amount of water used over the entire month:
Amount of water used = 72 liters
Compute the total water cost as follows:
Total water cost = Amount of water used × Cost
= 72 × 0.20
= $14.4/liter
The average number of minutes each person showered is:
Average number of minutes = 480 minutes.
The number of people in Trevor's house:
N = 6
Compute the total amount of time the 6 person showered as follows:
Total amount of time = Average number of minutes × N
= 480 × 6
= 2880 minutes
Compute the pay per minute on shower water as follows:
Pay per minute on water = Total water cost ÷ Total amount of time
= $14.4 ÷ 2880
= $0.005
Thus, the amount Trevor's family pay per minute on shower water is $0.005.
Answer:
Step-by-step explanation:
If we roll a multiple of 5 we will get one of the following:
5, 10, 15 , 20.
None of these is a perfect square so they are mutually exlusive,



first, find the numeric value for 11/15
second to find theta, simply do the <em>inverse</em> cos (which is cos^-1) of the first answer.
now you know theta, just do the sin of 90 - theta and that's it!
since you know whatr cos(theta) is, you just take the inverse cos of that number to get theta and 'reverse' cos, essentially. you are just solving for theta, by reversing the cos function with cos^-1
please mark as brainliest!
Answer:
m(arc ZWY) = 305°
Step-by-step explanation:
8). Formula for the angle formed outside the circle by the intersection of two tangents or two secants is,
Angle formed by two tangents = 
= 
= 
= 40°
9). Following the same rule as above,
Angle formed between two tangents = 
125 = ![\frac{1}{2}[m(\text{major arc})-m(\text{minor arc})]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Bm%28%5Ctext%7Bmajor%20arc%7D%29-m%28%5Ctext%7Bminor%20arc%7D%29%5D)
250 = ![[m(\text{arc ZWY})-m(\text{arc ZY})]](https://tex.z-dn.net/?f=%5Bm%28%5Ctext%7Barc%20ZWY%7D%29-m%28%5Ctext%7Barc%20ZY%7D%29%5D)
250 = m(arc ZWY) - 55
m(arc ZWY) = 305°
Therefore, measure of arc ZWY = 305° will be the answer.
10). m(arc BAC) = ![\frac{1}{2}([m(\text{arc BDC})-m(\text{arc BC})])](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%28%5Bm%28%5Ctext%7Barc%20BDC%7D%29-m%28%5Ctext%7Barc%20BC%7D%29%5D%29)
= 
= 
= 74°