Answer:
1. B) Figure B.
2. C) Figure C.
3. D) Figure D.
4. C) Figure C.
Step-by-step explanation:
Given: Radius of Circle A= 4
Radius of Circle B= 5
Radius of circle C= 6
Radius of circle D= 7
Now, finding circumference and area of all the circle.
We know, circumference of circle= 
Area of circle= 
Where, r= radius of circle and π = 3.14
First, solving for figure A
Circumference= 
Area= 
Solving for Figure B
Circumference= 
Area= 
Solving for Figure C
Circumference= 
Area= 
Solving for Figure D
Circumference= 
Area= 
∴ 1. Answer is Figure B.
2. Answer is figure C.
3. Answer is Figure D
4. Answer is Figure C.
Answer:
11.820 ft
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that ...
Sin = Opposite/Hypotenuse
The length of the ladder is the hypotenuse of a right triangle with 52° as the base angle. The side opposite is the height up the building where the top of the ladder rests. So, you have the relation ...
sin(52°) = height/(15 ft)
Multiplying by the denominator gives you ...
height = (15 ft)·sin(52°) ≈ 11.820 ft
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You may need to round this number appropriately.
Answer: a = 8
Step-by-step explanation:
Volume of a square based pyramid is given as
.
where a is the length of the side and h is the height.
Substituting into the formula , we have
V =
128 = 
/3
384= 
X 6
Divide through by 6
384/6 =
64 =
Therefore :
a = 
a = 8
Answer:
case 2 with two workers is the optimal decision.
Step-by-step explanation:
Case 1—One worker:A= 3/hour Poisson, ¡x =5/hour exponential The average number of machines in the system isL = - 3. = 4 = lJr machines' ix-A 5 - 3 2 2Downtime cost is $25 X 1.5 = $37.50 per hour; repair cost is $4.00 per hour; and total cost per hour for 1worker is $37.50 + $4.00
= $41.50.Downtime (1.5 X $25) = $37.50 Labor (1 worker X $4) = 4.00
$41.50
Case 2—Two workers: K = 3, pl= 7L= r= = 0.75 machine1 p. -A 7 - 3Downtime (0.75 X $25) = S J 8.75Labor (2 workers X S4.00) = 8.00S26.75Case III—Three workers:A= 3, p= 8L= ——r = 5- ^= § = 0.60 machinepi -A 8 - 3 5Downtime (0.60 X $25) = $15.00 Labor (3 workers X $4) = 12.00 $27.00
Comparing the costs for one, two, three workers, we see that case 2 with two workers is the optimal decision.
Answer:
x = 1/3
Step-by-step explanation:
-12x + 12 = 4 - 15x + 9
Combine like terms
-12x +12 = -15x+13
Add 15x to each side
-12x+12 +15x = -15x+15x+13
3x+12 = 13
Subtract 12 from each side
3x+12-12 = 13-12
3x = 1
Divide by 3
3x/3 = 1/3
x = 1/3
