The figure is a scalene triangle, and the exact length of side a is √13
<h3>How to determine the exact length of side a?</h3>
To calculate the length of a, we make use of the following law of cosine
a² = b² + c² - 2bc * cos(A)
Using the values in the figure, we have:
a² = 3√2² + 5² - 2 * 3√2 * 5 * cos(45)
Evaluate the expression
a² = 18 + 25 - 30
Evaluate the sum and the difference
a² = 13
Take the square root of both sides
a = √13
Hence, the exact length of side a is √13
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The area of a 2D form is the amount of space within its perimeter. The length of the rectangle is 29 inches and the width of the rectangle is 12 inches.
<h3>What is an area?</h3>
The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
Let the width of the sheet be represented by x and the length be represented by y.
Area = x × y
348 = xy
x = 348/y
Perimeter = 2(x+y)
82 = 2(x+y)
41 = x + y
41 = (348/y) + y
0 = y² - 41y + 348
y = 29, 12
Therefore, the length of the rectangle is 29 inches and the width of the rectangle is 12 inches.
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Answer:
The vertex (h,k) is (-4,-7).
Step-by-step explanation:
I assume you are looking for the vertex 
.
The vertex form of a quadratic is 
where the vertex is (h,k) and a tells us if the parabola is open down (if a<0) or up (if a>0). a also tells us if it is stretched or compressed.
Anyways if you compare to , you should see that 
.
So the vertex (h,k) is (-4,-7).
Answer:
150 cups and batch is 1 cup
Step-by-step explanation:
The total amount of snack mix for one recipe would be. 1. 1. 1 ... servings is 150 cups, and 1 batch is 10 cups, then she will need to bake 15 batches.
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