If you look at one of the curves, you can see that it is the circumference of one-fourth of a circle. The center of the two circles are points B and D, therefore the radii are both 8 cm.
The perimeter of half the shape is one-fourth of a circle and there are two of the curves, so perimeter is 0.5 * C where C = 2pi*r
Perimeter = 0.5 * 2 * pi * 8 = 8pi
We can find the area of one of the non-shaded corners by taking the area of the square (8*8 = 64) and subtracting one-fourth of the circle.
64 - (0.25 * pi * 8^2) = 64 - 16pi..
There are two of these corners so multiply by 2 = 128 - 32pi
Now 64 - (128 - 32pi) = Area of shaded region.
Answer: 24) C. SSS only
26) D. DH = HF
<u>Step-by-step explanation:</u>
24.
<u>Statement</u> <u>Reason</u>
1. BD = CA 1. Given
2. AB = CD 2. Given
3. AD = AD 3. Reflexive Property
4. ΔABD = ΔDCA 4. SSS Congruency Theorem
<em>We have no information about the angles so cannot use SAS Theorem.</em>
26. G H F
E H D
Line up the letters to find the congruent sides:
⇒ GH = EH
HF = HD
GF = ED
Answer: $4110.8 (more likely - 95% sure) or $2,107 (less likely)
Step-by-step explanation: It could be $4110.8 because you have the take the total they made and subtract is from the cost of the toys ($7,230-$2,450=$4,780). Then you have to take the result of that and get 14% of it, then subtract that from the $4,780 amount. Then you get the final answer which is $4110.8.
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However, it could also be $2,107 because the question itsn't that clear in the second sentence. It could be saying that $2,450 is the price of the toys (which is what I assumed above), or that it is the profit that the $2,450 (which I used below). I think that the above answer is more likely because if not then the first number would never be used. Anyways here is the second way it could be.
Step-by-step explanation: It could be $2,107 because you take the profit ($2,450) and get 14% of it, then subtract that from the $2,450 amount. Then you get the final answer which is $2,107.
If I was you, I would do the first one ($4110.8) because I really think it is that one. I just put the other one here just in case.
Answer: The interest is $60
Step-by-step explanation:
500*112%=$560
560/18=$31.11
$60 in interest is paid, or an additional $3.33 a month (Bringing the monthly loan payment to a grand total of $31.11)
