Answer:
B. ![\sqrt{65}](https://tex.z-dn.net/?f=%5Csqrt%7B65%7D)
Step-by-step explanation:
Find the missing length by subtracting 5^2-3^2 to get 4^2.
Then do 4^2+7^2 to get 65
5 • X < 6 > 4• X .............
Sarah had some cookies. She then gave her friend, Mike, eight cookies.
To solve this problem, we just have to use trigonometric ratios and apply which of the ratios is needed here and proceed to solve. The value of side AC is 2.85 units
<h3>Trigonometric Ratio</h3>
In the given diagram, we have the value of angle and hypothenuse and we are required to find the adjacent side of the triangle.
Data;
- Angle = 32.9 degrees
- Hypothenuse = 3.4
Let's use cosine rule for this.
![cos\theta = \frac{adjacent}{hypothenuse}](https://tex.z-dn.net/?f=cos%5Ctheta%20%3D%20%5Cfrac%7Badjacent%7D%7Bhypothenuse%7D)
Proceed to substitute the values into the equation and solve.
![cos 32.9 = \frac{AC}{3.4} \\AC=3.4cos32.9\\AC = 2.85](https://tex.z-dn.net/?f=cos%2032.9%20%3D%20%5Cfrac%7BAC%7D%7B3.4%7D%20%5C%5CAC%3D3.4cos32.9%5C%5CAC%20%3D%202.85)
From the calculations above, the value of side AC is 2.85 units
Learn more on trigonometric ratio here;
brainly.com/question/11967894
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Answer:
<em>The side length of the new square is 24 ft.</em>
Step-by-step explanation:
<u>Dilations</u>
A dilation is a transformation that produces a new image that is the same shape as the original but of a different size.
A dilation stretches or shrinks the original figure. To describe a dilation it's usually included the scale factor (or ratio) and the center of the dilation.
We have a square with a side length of 36 ft. When this square is dilated by a scale factor of 2/3, the new square will have a side length of 36*2/3= 24 ft.
The side length of the new square is 24 ft.