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Gnesinka [82]
3 years ago
8

Please answer me x and y ​

Mathematics
2 answers:
grigory [225]3 years ago
6 0

Answer: x=5√3(you've got it correct!)

y=15

In∆ADC,

Cos 60°=DC/10

DC=5

y=20-5

y=15

Mandarinka [93]3 years ago
6 0

Answer:

<h2>x = 5√3</h2><h2>y = 15</h2>

Step-by-step explanation:

Look at the picture.

ΔABC, ΔDBA and ΔDAC are the triangles 30° - 60° - 90°. The sides are in ratio 1 : √3 : 2.

Therefore

<h3>in ΔDAC:</h3>

DC : AD : AC = 1 : √3 : 2

If AC = 10, then DC = 10 : 2 = 5 and AD = x = 5√3

<h3>in ΔDBA:</h3>

AD : BD : AB =  1 : √3 : 2

If AD = 5√3, then AB = 2 · 5√3 = 10√3 and BD = y = 5√3 · √3 = 5 · 3 = 15

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Answer:

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Step-by-step explanation:

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a. 62
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3 years ago
1. Eight people work in an office. They are paid hourly rates of 12£,15£,15£,14£,14£,13£,14£,13£
bearhunter [10]

Answer:

mean=110/8 =13.75 pounds;  median=14 pounds; mode=14 pounds; average=13.75 pounds

Step-by-step explanation:

mean=add all the numbers together to get total then divide that total by the number of amounts present 12, 15, 15, 14, 14, 13, 14, 13 =110, then 110/8=13.75 pounds

mode=arrange amounts in order (smallest to largest), then determine which amount appears more than the other amounts 12, 13, 13, 14, 14, 14, 15, 15 =14 appears the most

median=organize numbers from smallest to greatest, count how many there are, then determine which number appears in the middle of all of them 12, 13, 13, 14, 14, 14, 15, 15 = there are 8 numbers present but 14 is in the middle; answer =14

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8 0
2 years ago
Equiangular polygon has how many sides exterior angle is 25
Softa [21]
If the exterior angle is 25o then the interior angle is its supplement.
The interior angle = 180 - 25 = 155 degrees. All angles are equal in the interior.
The sides aren't.

I'm hoping you get an answer besides mine. I can take you so far.
The formula for an interior angle is 

180(1 - 2/n) = Interior angle. When you solve this you get
180(1 - 2/n) = 155
1 - 2/n = 155/180
1 - 2/n = 0.86111111
- 2/n = 0.8611111 - 1
2/n = 0.13888888
2 / 0,1388888 = n
n = 14.4

You can google equiangular polygon theorem to see where I got the formula. The problem is that I really don't know how to interpret the answer. It looks like you have 14 conguent sides and 1 that is 0.4 left over. The figure might still be equiangular.
5 0
3 years ago
Evaluate the expression 1/3(4+18)-4
Kobotan [32]

Answer:

3.33 or 3 1/3

Step-by-step explanation:

1/3 = 0.33

1 / 3 x 22 = 22 / 3

22/3 - 4 = 3.33 or 3 1/3

4 0
2 years ago
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