Answer:
The area of the semi-circle
A = 1320.37 cm²
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given the diameter of the circle 'd' = 58cm
The radius of the circle 'd' = 2r
The area of the semi-circle
A = 1320.37 cm²
Answer:
- large: 40 lbs
- small: 20 lbs
Step-by-step explanation:
A system of equations can be written for the weights of the boxes based on the relationships given in the problem statement. One equation will be for the total weight of 1 large and 1 small box; the other will be for the total weight of 70 large and 60 small boxes.
Let L and S represent the weights of Large and Small boxes, respectively. The system of equations is ...
L + S = 60 . . . . . . combined weight is 60 lbs
70L +60S = 4000 . . . . weight of boxes in the truck
__
We can solve this by substituting for s in the second equation.
70L +60(60 -L) = 4000
10L = 400 . . . . . . . . . subtract 3600, simplify
L = 40
S = 60 -L = 20
A large box weighs 40 pounds; a small box weighs 20 pounds.
A) Use the trigonometric function and ratio cos(x) = A/H. (Adjacent/Hypotenuse)
1. cos(x) = 135/H
2. H*cos(16°) = 135
3. H = 135/cos(16°)
***Make sure calculator is in degree mode***
4. H = 140.44 ft (rounded to two decimal places)
________
b) Use the function and ratio tan(x) = O/A (Opposite/Adjacent)
1. tan(x) = O/A
2. tan(16°) = O/135
3. 135*tan(16°) = O
4. O = 38.71 ft (two decimal places)
Good luck!
The number of days d, he must use the gym to make the membership worthwhile is at least 21 days
Equation
Non members:
Cost of swimming per day = $5
Cost of exercise per day = $9
Total = $5 + $9
= $14
Members:
Yearly fee = $300
Exercise fee per day = $4
Swimming fee = $0
The number of days d, he must use the gym to make the membership worthwhile = $300 ÷ 14
= 21.42857142857142
Approximately,
21 days
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Answer:
{121,144,169} X intersecting Y means common number between x and y set
