A triangle is shown. What is the length, in inches, of side a?
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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:
Related Questions
I need help on this question
Is 1/2 greater than 1/3
Someone please solve & explain
Finley has 152 yellow, red, and blue marbles in a bag. He has seven more red marbles than yellow marbles, and three times as many blue marbles as yellow marbles. How many yellow marbles does Finley have? Write an equation to represent this problem. Then solve the equation. A. x + x + 7 + 2x = 152; x = 36 B. x + x + 7 + x = 152; x = 48 C. x + x + 7 + 5x = 152; x = 21 D. x + x + 7 + 3x = 152; x = 29
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Hope this helps!!
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Answer:
What is the question you can't see
3. Rewrite 5 and 1/4 as an improper fraction. Explain your answer .
4. Rewrite 7 and 2/3 as an improper fraction. Explain your answer .
5. Rewrite 9 and 3/5 as an improper fraction. Explain your answer.
Can anyone explain this to me? Will give brailiest.
Answers
3 1/3 is the same as 3 + 1/3.
3 + 1/3 =
Write 3 as a fraction.
= 3/1 + 1/3
You need 3/1 to have a denominator of 3, so you get
= 9/3 + 1/3
= 10/3
10/3 is the same as 3 1/3.
10 divided by 3 = 3 reminder 1, so 10/3 = 3 1/3
2.
6 8/9 = 6 + 8/9 =
= 6/1 + 8/9
= 54/9 + 8/9 = 62/9
3.
5 1/4 = 5 + 1/4 =
= 5/1 + 1/4
= 20/4 + 1/4
= 21/4
4.
7 2/3 = 7 + 2/3 =
= 7/1 + 2/3
= 21/3 + 2/3
= 23/3
5.
9 3/5 = 9 + 3/5 =
= 9/1 + 3/5
= 45/5 + 3/5
= 48/5
Now that I showed you 5 times how to change a mixed numeral into an improper fraction by adding the whole number part and the fraction part, I will show you a shortcut.
Example 1.
Change 5 1/4 into a mixed numeral.
Multiply the whole number, 5, by the denominator and add the numerator.
5 * 4 + 1 = 20 + 1 = 21
Then set this number over the denomiator, 21/4
5 1/4 = 21/4
Example 2.
Change 7 2/3 into an improper fraction.
7 * 3 + 2 = 21 + 2 = 23
Write 23 over the denominator, 3.
7 2/3 = 23/3
3 and 1/3 is equal to 10/3 because a whole number would be 3/3 and we have 3 whole numbers plus 1/3
3/3
3/3
3/3
1/3
add it up and you get 10/3
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1. 4y > 20
4y / 4 > 20 / 4
y > 5
2. 7x + 21 < -28
7 < -28 - 21
7x < -49
x < -7
3. -12m - 24 > 36
-12m > 36 + 24
-12m > 60
m < - 5
hope this helped :)
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The circumference of the circular paper plate is given by the equation
C = 28.27 inches
What is a Circle?
A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The perimeter of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle
Given data ,
Let the circumference of the circle be represented as C
Now , the value of C is
The diameter of the circle d = 9 inches
Let the radius of the circle be r
And r = d/2
The value of r = 4.5 inches
And , the circumference of the circle C = 2πr
Substituting the values in the equation , we get
The circumference of the circle C = 2 x π x 4.5
On simplifying the equation , we get
The circumference of the circle C = 9 x π
The circumference of the circle C = 28.27 inches
Therefore , the value of C is 28.27 inches
Hence , the circumference of the circle is 28.27 inches
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