Answer:
11
Step-by-step explanation:
is right?
Answer:
Cost for 68 words = 148 naira
Step-by-step explanation:
Given that:
Cost of first ten words = 32 naira
Cost of additional words = 2 naira per word
Let,
x be the number of additional words.
y be the total cost
y = 2x + 32
We have to find the cost for 68 words.
The cost of first 10 words will be 32 naira.
Additional words = 68 - 10 = 58 words
Putting x = 58 in the equation
y = 2(58) + 32
y = 116 + 32
y = 148
Hence,
Cost for 68 words = 148 naira
The area of an equilateral triangle of side "s" is s^2*sqrt(3)/4. So the volume of the slices in your problem is
(x - x^2)^2 * sqrt(3)/4.
Integrating from x = 0 to x = 1, we have
[(1/3)x^3 - (1/2)x^4 + (1/5)x^5]*sqrt(3)/4
= (1/30)*sqrt(3)/4 = sqrt(3)/120 = about 0.0144.
Since this seems quite small, it makes sense to ask what the base area might be...integral from 0 to 1 of (x - x^2) dx = (1/2) - (1/3) = 1/6. Yes, OK, the max height of the triangles occurs where x - x^2 = 1/4, and most of the triangles are quite a bit shorter...
Answer:
1st ∡ = 15.5°
2nd ∡ = 77.25°
3rd ∡ = 87.25°
Step-by-step explanation:
1st ∡: x
2nd ∡: y
3rd ∡: z
Equations we can create from data given in problem:
y + z = 5x
z = 5x + 10
We have enough expressions to create an equation:
x + 5x + 5x + 10 = 180
11x = 170
x = 15.5
y = 5(15.5) = 77.25
z = y + 10 = 87.25
Answer: 21.13 miles
Explanation: The question asks “drive in all”. They gave you the miles driven, which is 8.7 and 12.43. If you add them together, you will get 21.13 miles.
