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Nady [450]
3 years ago
5

Griffin’s General Store is having a 30% off sale on fans. Robert paid $24. 50 for a fan that was on sale. What is the original p

rice of the fan?.
Mathematics
1 answer:
Fed [463]3 years ago
3 0
$35.71

Step-by-step explanation:
Since Griffin’s General Store is having a 30% off sale on fans, it simply means that fans are paying for (100%-30%)= 70%.
Let the original price be x;
Therefore, 70% of x equal to $25;

70/100x = 25
0.7x = 25

x = 35. 71
(There ya go)
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the sum of three numbers is 90. the third number is 4 times the first. the second number is 6 less than the first. what are the
igor_vitrenko [27]

Answer: 16, 10, 64

Step-by-step explanation:

64/4=16, so the 3rd number is 4x the first.

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16+10+64=90.

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PLS HELP SHOW ALL YOUR WORKING OUT AND BRAINLIEST WILL BE AWARDED
hammer [34]

Answer:

5.97 cm  to 3 significant figures.

Step-by-step explanation:

The diameter of the circle will be equal to the length of the diagonal of the square.

Area = 56 = πr^2

r^2 = 56 / π

r = √(56 / π) =  4.222 cm

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This  is  = diagonal of the square so, by The Pythagoras Theorem:

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What is the measure of angle A'B'C'?
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Step-by-step explanation:

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What is the perimeter of angle DEF to the nearest tenth of a unit?<br> helppppp<br> tysm
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<h3>Answer:  36.4 units  (choice A)</h3>

===========================================================

Explanation:

Let's use the distance formula to find the distance from D to E

D = (x_1,y_1) = (-7,2) \text{ and } E = (x_2, y_2) = (3,4)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-7-3)^2 + (2-4)^2}\\\\d = \sqrt{(-10)^2 + (-2)^2}\\\\d = \sqrt{100 + 4}\\\\d = \sqrt{104}\\\\d = \sqrt{4*26}\\\\d = \sqrt{4}*\sqrt{26}\\\\d = 2\sqrt{26}\\\\d \approx 10.198\\\\

Note: uppercase D refers to the point, while lowercase d is the distance from D to E.

The length of segment DE is roughly 10.198 units long.

----------------

Repeat for the distance from E to F.

E = (x_1,y_1) = (3,4) \text{ and } F = (x_2, y_2) = (5,-7)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(3-5)^2 + (4-(-7))^2}\\\\d = \sqrt{(3-5)^2 + (4+7)^2}\\\\d = \sqrt{(-2)^2 + (11)^2}\\\\d = \sqrt{4 + 121}\\\\d = \sqrt{125}\\\\d = \sqrt{25*5}\\\\d = \sqrt{25}*\sqrt{5}\\\\d = 5\sqrt{5}\\\\d \approx 11.1803\\\\

Segment EF is roughly 11.1803 units long.

----------------

Repeat for the distance from F to D.

F = (x_1,y_1) = (5,-7) \text{ and } D = (x_2, y_2) = (-7,2)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(5-(-7))^2 + (-7-2)^2}\\\\d = \sqrt{(5+7)^2 + (-7-2)^2}\\\\d = \sqrt{(12)^2 + (-9)^2}\\\\d = \sqrt{144 + 81}\\\\d = \sqrt{225}\\\\d = 15\\\\

Unlike the others, this result is exact.

----------------

Add up the three segment lengths to get the perimeter

DE + EF + FD

10.198 +  11.1803 + 15

36.3783

The perimeter is approximately 36.3783 units which rounds to <u>36.4</u>

The answer has been confirmed with GeoGebra.

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2 years ago
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