Answer:

Step-by-step explanation:
Notice that you are given an isosceles right-angle triangle to solve, since each of its two acute angles measures
. Then such means that the sides opposite to these acute angles (the so called "legs" of this right angle triangle) must also be of the same length (x).
We can then use the Pythagorean theorem that relates the square of the hypotenuse to the addition of the squares of the triangles legs:

We use just the positive root, since we are looking for an actual length. then, the requested side is:

there are 6 terms! hope this helped
The center is (-1, -2) and the radius of the circle is 5.
<h3>What is the equation of a circle?</h3>
The circle equation formula refers to the equation of a circle which represents the center-radius form of the circle.
A circle can be represented as;

Where; h and k are the center of the circle r is the radius of the circle.
The given equation of the circle is;

Comparing both the equations;

Hence, the center is (-1, -2) and the radius of the circle is 5.
Learn more about circle here;
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Answer:
Greatest to least
28/13, 1, 6/20, -0.4
Step-by-step explanation:
Answer:
24 times
Step-by-step explanation:
Given : A small bottle of vanilla extract has 16 ounces in it.
To Find : if each batch of cookies baked requires 2/3 of an ounce of vanilla how many times can the bakery use the bottle before it is empty?
Solution :
No. of batch of cookies requires 2/3 ounce of vanilla = 1
No, of batch of cookies requires 1 ounce of vanilla = 
No. of batches require 16 ounces of vanilla = 
= 24
Thus, bakery can use 24 times the bottle before it is empty.