Answer:
41
Step-by-step explanation:
What I did was I took 180, 85 and 54 and subtracted them to get 41 if it is wrong i am so very sorry
Answer: 0.06x
Step-by-step explanation:
- An algebraic expression is an expression consist of integer constants, variables, and algebraic operations.
The given statement: A number is 30% of 20% of the number x.
The required algebraic expression would be:
30% of 20% of x
[we divide a percentage by 100 to convert it into decimal]

Hence, the required algebraic expression would be :
0.06x
Answer:
The shadow is decreasing at the rate of 3.55 inch/min
Step-by-step explanation:
The height of the building = 60ft
The shadow of the building on the level ground is 25ft long
Ѳ is increasing at the rate of 0.24°/min
Using SOHCAHTOA,
Tan Ѳ = opposite/ adjacent
= height of the building / length of the shadow
Tan Ѳ = h/x
X= h/tan Ѳ
Recall that tan Ѳ = sin Ѳ/cos Ѳ
X= h/x (sin Ѳ/cos Ѳ)
Differentiate with respect to t
dx/dt = (-h/sin²Ѳ)dѲ/dt
When x= 25ft
tanѲ = h/x
= 60/25
Ѳ= tan^-1(60/25)
= 67.38°
dѲ/dt= 0.24°/min
Convert the height in ft to inches
1 ft = 12 inches
Therefore, 60ft = 60*12
= 720 inches
Convert degree/min to radian/min
1°= 0.0175radian
Therefore, 0.24° = 0.24 * 0.0175
= 0.0042 radian/min
Recall that
dx/dt = (-h/sin²Ѳ)dѲ/dt
= (-720/sin²(67.38))*0.0042
= (-720/0.8521)*0.0042
-3.55 inch/min
Therefore, the rate at which the length of the shadow of the building decreases is 3.55 inches/min
I think that the answer is 120 cubes
Answer:
2500pi^2 units
Step-by-step explanation:
Circumference = pi * diameter
Circumference = pi * 100
Radius = diameter/2
Radius = 50
Area = pi * radius^2
Area = pi * 50^2
Area = pi * 2500
Area = 2500pi^2 units