Answer:
Measure of angle O is 56 degrees.
Step-by-step explanation:
We can see from diagram that NQ is minor arc and NRQ is major arc. Our angle R (inscribed angle) and O (central angle) are corresponding to minor arc NQ. We will use inscribed angle theorem which states that measure of inscribed angle is one-half the measure of central angle.
We are given that measure of inscribed angle R is 28 degrees. To find measure of our central angle O we will multiply 28 by 2.
Therefore, measure of angle O will be 56 degrees.
We need to get the equation in square form
We apply completing the square method
Divide all the terms by 5
Group x terms and y terms separately
By completing the square method, we take half of coefficient of x and square it
square it
Add 1 on both sides
square it
Add 4 on both sides
Add 6 on both sides
Now factor both parenthesis
The equation of the circle is
Given:
The bakers at Healthy Bakery can make 170 bagels in 2 hours.
To find:
How many bagels can they bake in 14 hours and the rate per hour.
Solution:
We have,
Number of bagels the bakers can bake in 2 hours = 170 bagels
Number of bagels the bakers can bake in 1 hours = bagels
= 85 bagels
Therefore, the average rate is 85 bagels per hour.
Number of bagels the bakers can bake in 14 hours = bagels
= 1190 bagels
Therefore, the bakers can bake 1190 bagels in 14 hours.