Draw the picture; you have a right triangle. The guy wire is the hypotenuse
You want the length of the base when the side opposite the 41 degree angle
is the tree.
You have an angle and the hypotenuse; the base is the side adjacent to the
41 degree angle.
EQUATION:
cos(41) = adjacent/hypotenuse = x/14
14cos(41) = x
x = 10.57 ft
I read:
Farm Maid Yogurt : 6 g of fat in 13 cups
Dairy Delight Yogurt: 5 g of fat in 11 cups.
(This is what I read, which does not represent realistic numbers, likely decimals are missing).
(a) Farm Maid Yogurt
6 g/13 cups = 10 g/x cups
Cross multiply: 6x = 130 => x=130/6=21.67 cups.
(b)
Farm maid : 6 g/13 cups, 6/13 in 13/13 cups => 0.4615 g/cup
Dairy Delight : 5 g / 11 cups, 5/11 in 11/11 cups => 0.4545 g/cup
=> Dairy Delight Yogurt has slightly less fat.
(c) 9 cups of Dairy Delight
5 g / 11 cups = x g / 9 cups
Cross multiply
11x=5*9 g => x=5*9/11 g = 4.09 g
(d) 3 cups of Dairy Delight & 5 cups of Farm Maid.
5 g/ 11 cups = x g / 3 cups
Cross multiply
x=5*3/11 = 1.3636 g
5 cups of Farm Maid
6 g / 13 cups = y g / 5 cups
Cross multiply
y=6*5/13=2.3077 g
Total fat consumed = 1.3636+2.3077 g = 3.6713 = 3.671 g (to the nearest thousandth gram).
Hey there!
We can show this in the following equation:
2n - 74 = 376
The variable n represents the number of hamburgers sold.
Subtracting 74 shows that the number of cheeseburgers is 74 less than the number of hamburgers.
Let's solve for n.
First, add 74 to each side of the equation:
2n = 450
Then, divide each side of the equation by 2:
n = 225
Next, we can check the solution.
225 hamburgers + (225 - 74) cheeseburgers = 225 + 151 = 376 burgers total
There were 225 hamburgers sold on Monday.
Hope this helps!
Volume of a Cylinder (Drum) = πr²h
Substitute the known values,
v = 3.14 * (1.2)² * 4
v = 18.09 Ft³
Now, price for 1 Ft³ = $22
So, for 18.09 Ft³ would be: 22 * 18.09 = $397.9
In short, Your Answer would be: $397.9
Hope this helps!
