Answer:
- <u>1. Find attached the graph with the points connected forming the letter L (it is the first graph)</u>
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- <u>2. The area of the letter is 24in².</u>
Explanation:
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<u>1. Graph.</u>
To graph the points you use a coordinate plane with marks on the x-axis and y-axis distanced 1 unit (equivalent to 1 inch(.
For instance, for the point A (3, 2) the x-coordinate is 3, and the y-coordinate is 2. Thus, to draw the point, you move 3 units to the right of the origin of the coordinate plane (x = 3) and 2 units upward (y = 2). There you draw the point A.
After you do the same with the other points, B, C, D, E, y F, and connect them you realize that the letter L is formed.
Now you can calculate the area.
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<u>2. Area</u>
To calculate the area you can split the figure in two rectangles. That is shown in the second figure attached.
Auxiliary point X and segment FX have been added in this second figure to help identify the two rectangles.
The area of the rectangle CDEX is 2in × 8in = 16in².
The area of the rectangle ABXF is 4 in × 2 in = 8 in².
Thus, the area of the letter is 16in² + 8in² = 24in²
<span>What is 7/17 as a decimal you ask? Converting the fraction 7/17 into a decimal is very easy.
To get 7/17 converted to decimal, you simply divide 7 by 17. Don't worry. You don't need to get the calculator out, because we did this for you.
7/17 as a decimal is:
0.411765
</span>
Answer: square root 50 that does not belong
Step-by-step explanation:
∠GBE = y (alternate angles)
∠DBG + ∠GBE = 180 (Adjacent angles on a straight line adds up to 180)
⇒ x + y = 180
∠DBG = ∠ABE (Vertially opposite angles)
⇒ x = 5y - 18
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Solve for x and y :
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x + y = 180 -------- (1)
x = 5y - 18 --------- (2)
Sub (2) into (1) :
5y - 18 + y = 180
6x = 198
x = 33 --------- Sub into (1)
x + y = 180
33 + y = 180
y = 147
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Answer: x = 33°, y = 147°
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Answer:
8 assistant caregivers
7 senior caregivers
Step-by-step explanation:
6 assistant caregivers (current) + 2 assistant caregivers (new)
= 8 total assistant caregivers
(6 + 2 = 8)
4 senior caregivers (current) + 3 senior caregivers (new)
= 7 total senior caregivers
(4 + 3 = 7)