Answer:
6 hours
Step-by-step explanation:
6 inches burns at rate .8 inches in 1 hour
to be 1.2 inches has to burn 6 -1.2 = 4.8 inches of the candle
4.8 inches / .8 inches in 1 hour = 6 hours
Answer:
The area of the rectangle is 1222 units²
Step-by-step explanation:
The formula of the perimeter of a rectangle is P = 2(L + W), where L is its length and W is its width
The formula of the area of a rectangle is A = L × W
∵ The length of a rectangle is 5 less than twice the width
- Assume that the width of the rectangle is x units and multiply
x by 2 and subtract 5 from the product to find its length
∴ W = x
∴ L = 2x - 5
- Use the formula of the perimeter above to find its perimeter
∵ P = 2(2x - 5 + x)
∴ P = 2(3x - 5)
- Multiply the bracket by 2
∴ P = 6x - 10
∵ The perimeter of the rectangle is 146 units
∴ P = 146
- Equate the two expression of P
∴ 6x - 10 = 146
- Add 10 to both sides
∴ 6x = 156
- Divide both sides by 6
∴ x = 26
Substitute the value of x in W and L expressions
∴ W = 26 units
∴ L = 2(26) - 5 = 52 - 5
∴ L = 47 units
Now use the formula of the area to find the area of the rectangle
∵ A = 47 × 26
∴ A = 1222 units²
∴ The area of the rectangle is 1222 units²
The average rate of change for the function f(x) can be calculated from the following equation

By applying the last formula on the given equations
(1) the first function f
from the table f(3π/2) = -2 and f(2π) = 0
∴ The average rate of f =

(2) the second function g(x)
from the graph g(3π/2) = -2 and g(2π) = 0
∴ The average rate of g =

(3) the third function h(x) = 6 sin x +1
∴ h(3π/2) = 6 sin (3π/2) + 1 = 6 *(-1) + 1 = -5
h(2π) = 6 sin (2π) + 1 = 6 * 0 + 1 = 1
∴ The average rate of h =
By comparing the results, The <span>function which has the greatest rate of change is h(x)
</span>
So, the correct answer is option <span>
C) h(x)</span>
Kinda confused by this question but I'm betting yes. Might take a bit of effort to keep the ratio fluent as you paint this large area but yes, it's possible.
Answer:
m= 67.5 and n=56.25
Step-by-step explanation:
180-15=165
165/2= 82.5
90-15= 75
75+75= 150
180-150=30
30+82.5= 112.5
180- 112.5= 67.5
m= 67.5
180-67.5= 112.5
112.5/2= 56.25
n= 56.25