Using trigonometric ratios, the length in inches of the given triangle is 22 inches.
Given a right angled triangle.
The length of the hypotenuse is also given.
We can find the length of "a" using the sine trigonometric ratio.
We know that,
Sine of any angle is defined as the ratio of the opposite side to the hypotenuse of a right angled triangle.
Using the sine function here for the angle 30°,
sin (30°) = opposite side / adjacent side
sin (30°) = a / 44
Or,
a / 44 = sin (30°)
We know that sin (30°) = 1/2.
So,
a / 44 = 1/2
Multiplying both sides by 44, we get,
a = 44 / 2
a = 22 inches
Hence the length is 22 inches.
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Answer:
Step-by-step explanation:
The decimal form of a number 4 7/20 is, 4.35
Now, We can Convert to improper fraction:-
4 7/20
20 × 4 = 80
80 + 7 = 87
Hence, Improper fraction:-
= 87/20
Now, We can Turn into decimal:-
Divide Numerator by denominator:-
87/20
87 ÷ 20
= 4.35
Hence, We get;
4 7/20 = 87/20 = 4.35
4 7/20 = 4.35
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Answer:
Step-by-step explanation:
The opposite of a number is its additive inverse, which means it's the number that, when added to the original number, results in zero. On a number line, the opposite of a number is located symmetrically on the other side of zero.
For the first part of your question:
The opposite of -3 5/8 is 3 5/8, and it is on the same side of zero on a number line as -3 5/8.
For the second part of your question:
The opposite of 4 2/9 is -4 2/9, and it is on the same side of zero on a number line as 4 2/9.
So, in both cases, the opposites are on the same side of zero as the original numbers.