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rusak2 [61]
4 years ago
8

In a right triangle, angle A measures 20°. The side opposite angle A is 10 centimeters long. Approximately how long is the hypot

enuse of the triangle? 3.4 centimeters 10.6 centimeters 27.5 centimeters 29.2 centimeters
Mathematics
2 answers:
kobusy [5.1K]4 years ago
6 0

Answer:

D, 29.2 centimeters

lubasha [3.4K]4 years ago
3 0
Given that the angle measure 20 and the side opposite to that angle measures 10 cm, suppose this is the height of the triangle, the hypotenuse
Such that
sin theta=opposite/hypotenuse
opposite=a=10 cm
sin 20=10/h
multiplying both sides by h we get
hsin20=10
hence;
h=10/sin20
h=29.24 cm
h=29.2 cm 

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6 0
3 years ago
The digits of a two-digit number sum to 8. When the digits are reversed, the resulting number is 18 less than the original numbe
Oksanka [162]

Answer:

original number = 53

Step-by-step explanation:

In two digits number:

Let the tens place digit be x and units place digit be y.

So,

Original number = 10x + y

Number obtained after reversing the digits = 10y + x

According to the first condition:

x + y = 8.... (1)

According to the second condition:

10y + x = 10x + y - 18

10y + x - 10x - y = - 18

9y - 9x = - 18

-9(x - y) = - 18

x - y = - 18/(-9)

x - y = 2.......(2)

Adding equations (1) & (2), we find

x + y + x - y = 8 + 2

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7 0
3 years ago
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