The whole ends up being 42 ft².
Area of a triangle = 1/2 * base * height.
So that lil triangle piece is 1/2 * 2 * 3 = 1/2 * 6 = 3
Now we do the rectangle piece. Area of a rectangle = length * width
So that rectangle is 3 * 7 = 21
If you take away those two, you are left with a trapezoid.
Area of a trapezoid is 1/2 * (base 1 + base 2) * height
Base 1 is the width of the rectangle which is 3. Base 2 is the 6. The height is the given 11 feet minus the 7 feet from the length of the rectangle which is 4.
Plug all this in to the formula you get 1/2 * (6 + 3) * 4 = 1/2 * 9 * 4 = 1/2 * 36 = 18.
Now add all of your areas together;
21 + 3 + 18 = 24 + 18 = 42
Volume of a cube = s³
Therefore, s³ = 512, meaning that s = 8.
The question asks what the resulting volume would be if all sides of the cube were divided by 4.
The current side measures 8, and we know that 8/4 = 2.
Thus, the resulting volume = s³ = 2³ = 8 cubic mm.
If the runner moves at 6 miles per hour for 2 hours before the cyclist starts, the runner has a 12 mile lead at the beginning. If the cyclist is going at 16 miles per hour, he is overtaking the runner at 10 miles per hour, because 16-6=10. Then, the amount of time it takes the cyclist to go 2 miles in 10 miles per hour is the answer. this is 1/5 of an hour, or 12 minutes.
Answer:
C <em>,</em><em> </em><em>negative</em><em> </em><em>two</em><em> </em><em>times</em><em> </em><em>a </em><em>number</em><em>,</em><em> </em><em>plus</em><em> </em><em>seven </em><em>,</em><em> </em><em>is </em><em>fewer</em><em> </em><em>than </em><em>twenty</em><em>-seven </em><em>and </em><em>five </em><em>tenths </em>
Answer:
Approximately 23 cups of coffee
Step-by-step explanation:
Break even = Fixed cost/Selling price - variable cost
Fixed cost = $75
Selling price = $4.50
Variable cost = $1.25
Break even = $75/$4.50 - $1.25
= 23.076923077
Approximately = 23
Therefore, Mary has to sell approximately 23 cups of coffee daily in order to break evem
