Answer:
37°
Step-by-step explanation:
∠ECF= ∠ACG
∠ACG= 90° - ∠GAC= 90° - 53°= 37°
Answer:
Step-by-step explanation:
<h3>Table 1</h3>
- x- values change 1 to 4
- y- values change inconsistently and repeat at -2
This is <u>not</u> a linear function
<h3>Table 2</h3>
- x- values change 1 to 4
- y- values change consistently, with common difference of -2
<u>This is a linear function</u>
<h3>Table 3</h3>
- x- values change 1 to 4
- y- values change inconsistently, the difference is not common
This is <u>not</u> a linear function
<h3>Table 4</h3>
- x- values change 1 to 4
- y- values change inconsistently, the difference is not common
This is <u>not</u> a linear function
R^2+2r-33=0 move constant to other side by adding 33 to both sides
r^2+2r=33 halve the linear coefficient, square it and add to both sides, in this case it is just one
r^2+2r+1=34 now the left side is a perfect square...
(r+1)^2=34 take the square root of both sides...
r+1=34^(1/2) subtract 1 from both sides
r=-1+34^(1/2) and -1-34^(1/2)
Let us assume the width of the rectangle = x cm
Then
The length of the rectangle = (x + 4) cm
It is already given that
Perimeter of the rectangle = 80 cm
Now we also know the formula for perimeter of a rectangle
Perimeter = 2 ( length + width)
80 = 2 (x + 4 + x)
80 = 2 (2x + 4)
80/2 = 2x + 4
40 = 2x + 4
Dividing both sides by 2 we get
20 = x + 2
20 -2 = x
x = 18
Then
Width of the rectangle = 18 cm
Length of the rectangle = (18 + 4) cm
= 22 cm
So the rectangle has a length of 22 cm and a width of 18 cm.
a. The total cost is the sum of variable and fixed cost.
So the average cost of each hat is simply total cost divided by x:
ave cost = (2.12 x + 3000) / x
b. Total cost should be equal to Income:
2.12 x + 3000 = 2.75 x
Solve for x:
x = 4762 units
c. Profit is income minus total cost:
Profit = 2.75 x – (2.12 x + 3000)
1000 = 2.75x – 2.12 x – 3000
Solving for x:
<span>x = 6439 hats</span>
