Answer:
○B. ![\frac{\sqrt{6}}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B6%7D%7D%7B2%7D)
Step-by-step explanation:
Trigonometric Identities
![\frac{y}{r} = sin\:θ](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7Br%7D%20%3D%20sin%5C%3A%CE%B8)
![\frac{x}{r} = cos\:θ](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7Br%7D%20%3D%20cos%5C%3A%CE%B8)
![\frac{y}{x} = tan\:θ](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7Bx%7D%20%3D%20tan%5C%3A%CE%B8)
![\frac{r}{x} = sec\:θ](https://tex.z-dn.net/?f=%5Cfrac%7Br%7D%7Bx%7D%20%3D%20sec%5C%3A%CE%B8)
![\frac{r}{y} = csc\:θ](https://tex.z-dn.net/?f=%5Cfrac%7Br%7D%7By%7D%20%3D%20csc%5C%3A%CE%B8)
![\frac{x}{y} = cot\:θ](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7By%7D%20%3D%20cot%5C%3A%CE%B8)
<u>Radius Formula</u>
![{y}^{2} + {x}^{2} = {r}^{2}](https://tex.z-dn.net/?f=%7By%7D%5E%7B2%7D%20%2B%20%7Bx%7D%5E%7B2%7D%20%3D%20%7Br%7D%5E%7B2%7D)
![{[-\sqrt{15}]}^{2} + {[-\sqrt{10}]}^{2} = {r}^{2} → 15 + 10 = {r}^{2} → 25 = {r}^{2}\\ \\ 5 = r](https://tex.z-dn.net/?f=%7B%5B-%5Csqrt%7B15%7D%5D%7D%5E%7B2%7D%20%2B%20%7B%5B-%5Csqrt%7B10%7D%5D%7D%5E%7B2%7D%20%3D%20%7Br%7D%5E%7B2%7D%20%E2%86%92%2015%20%2B%2010%20%3D%20%7Br%7D%5E%7B2%7D%20%E2%86%92%2025%20%3D%20%7Br%7D%5E%7B2%7D%5C%5C%20%5C%5C%205%20%3D%20r)
* Since we are talking about radii, we only want the NON-NEGATIVE root.
In this case, we will not be using the radius in our ratio, according to the trigonometric identity above because we are using the <em>tangent</em><em> </em>ratio:
![\frac{\sqrt{6}}{2} = \frac{-\sqrt{15}}{-\sqrt{10}} = \sqrt{1\frac{1}{2}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B6%7D%7D%7B2%7D%20%3D%20%5Cfrac%7B-%5Csqrt%7B15%7D%7D%7B-%5Csqrt%7B10%7D%7D%20%3D%20%5Csqrt%7B1%5Cfrac%7B1%7D%7B2%7D%7D)
I am joyous to assist you anytime.
The area of the scale drawing given the scale of the square is 64cm^2.
<h3>What is the area of the scale drawing?</h3>
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
Dimensions of the scale drawing = original dimensions / scale of the drawing
16 cm / 2 = 8cm
Area = 8 x 8 = 64cm^2
A square 16 cm on a side. Use this scale: Side of a square = 2 cm. Find the area of the scale drawing.
To learn more about scale drawings, please check: brainly.com/question/26388230
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Answer:
3 inches 25%
4 inches 33 1/3 %
6 inches=50 %
9 inches =75 %
Step-by-step explanation:
1 foot = 12 inches
To find the percentage, we take the part over the total.
percentage = 3 inches/ 12 inches = 1/4 = 25/100= 25%
percentage = 4 inches/ 12 inches = 1/3 = 33 1/3 %
percentage = 6 inches/ 12 inches = 1/2 = 50/100=50 %
percentage = 9 inches/ 12 inches = 3/4 = 75/100=75 %