Ian Zander earns extra money by refinishing wood floors. His charge is based on the size and condition of the floor. Last month,
1 answer:
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Answer:
280 ft squared
Step-by-step explanation:
To find the area of the nonshaded portion, we can find the area of the entire floor and then subtract the shaded area.
The total area is that of a rectangle: 30 * 15 = 450 ft squared.
Now, the shaded region is made up of a rectangle and a triangle.
- The rectangle has length 8 and width 10, so its area is 10 * 8 = 80 ft squared.
- The triangle has base 12 and height 15, so using the area of a triangle formula: (where b is the base and h is the height) = (12 * 15)/2 = 180/2 = 90 ft squared.
- The total shaded region is: 80 + 90 = 170 ft squared
Subtract 110 from 450: 450 - 170 = 280 ft squared.
Thus, the answer is 280 ft squared.
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Answer:
For the profit of $5,000, the key chains made is n = 4,000.
Step-by-step explanation:
Here the given expression , where: n = Number of key rings in thousands is given as:
P(n) = n²- 2 n - 3
Now, Profit is given to be $5,000.
Also, as we know 5000 = 5 x (1,000)
⇒ n²- 2 n - 3 = 5
Now, solving the above expression for the value of n, we get:
So, n = 4, OR , n = -2
Now, as n = The number of key chains. So it CANNOT BE NEGATIVE.
So, n= 4 = 4 x (1,000) = 4,000 key rings.
Hence, for the profit of $5,000, the key chains made is n = 4,000.
Using the midpoint formula, the coordinates of Q are: <em>A. (-10, 1)</em>
<h3>What is the Midpoint Formula?</h3>- Midpoint formula is given as,
Thus, given that:
- M is the midpoint of PQ.
- M (-4, 7)
- P (2, 13).
Therefore:
Solve for x-coordinate of P:
-4 = 1/2(2 + x1)
2(-4) = 2 + x1
-8 = 2 + x1
-8 - 2 = x1
x1 = -10
Solve for y-coordinate of P:
7 = 1/2(13 + y1)
14 = 13 + y1
y1 = 1
Therefore, using the midpoint formula, the coordinates of Q are: <em>A. (-10, 1)</em>
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