Answer:
Step-by-step explanation:
according to the question ur equation is
9y-8(a+b)
9y-8a-8b
Answer:
Step-by-step explanation:
A solid 7
Sorry lolz
The parametric equations for x and y describe a circle of radius 10 m, so the length of the base of the fence is the length of the circumference of a circle of radius 10 m. The formula for that circumference (C) is ...
... C = 2πr
... C = 2π·(10 m) = 20π m
The height as a function of angle (t) is found by substituting for x and y.
... h(t) = h(x(t), y(t)) = 4 + 0.01·((10cos(t))²-)10sin(t))²) = 4+cos(2t)
The average value of this over the range 0 ≤ t ≤ 2π is 4, since the cosine function has two full cycles in that range, and its average value over a cycle is zero.
Thus, the area of one side of the fence is that of a rectangle 20π m long and 4 m wide. That will be
... (20π m)·(4 m) = 80π m²
The amount of paint required to cover both sides of the fence is
... 2×(80π m²)×(1 L)/(10 m²) = 16π L ≈ 50.3 L
_____
You can work out the integral for area as a function of t. When you do, you will find it gives this same result.
Answer:
Step-by-step explanation:
<u>Step 1: Combine on the right side
</u>
<u>Step 2: Divide both sides by 90
</u>
Answer:
Answer:
GI = 18; GE = 12; IE = 6
Step-by-step explanation:
The key to the question is to realize or find out what a centroid is and what it does. You can solve this question by knowing three things.
- The centroid is the meeting point of the three medians ( a median is a line that connects the midpoint of the side opposite a given vertex).
- The centroid divides the median in a ratio of 2:1. The longest segment is from the vertex to the centroid.
- The shortest segment is from the centroid to the midpoint of the side opposite the given vertex.
Point two is what you have to focus on.
GE/EI = 2/1
GE = 12 Given
Solution
GE / EI = 2/1 Substitute for the given
12 / EI = 2/1 Cross multiply
2*EI = 12 * 1 Simplify the right
2 * EI = 12 Divide by 2
EI = 12/2 Divide
Part Two
GI = EI + GE
GI = 6 + 12
GI = 18
EI = 6