I need help writing the equations for these word problems, and maybe an explanation on how to write equations? I have a lot of t
rouble with it.
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1. One angle of a triangle measures 120°. The other two angles are congruent. Write and solve an equation to find the measure of the congruent angles.
2. Linda is paid double her normal hourly rate for each hour she works over 40 hours a week. Last week, she worked 52 hours and earned $544. What is her hourly rate?
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1. One angle of a triangle measures 120°. The other two angles are congruent. Write and solve an equation to find the measure of the congruent angles.
2. Linda is paid double her normal hourly rate for each hour she works over 40 hours a week. Last week, she worked 52 hours and earned $544. What is her hourly rate?
1 answer:
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Answer:
Step-by-step explanation:
We are told the wind turbine makes 76 revolutions in 1 minute. This means the angular speed of the object in revolutions per minute (rpm) is:
(1)
However, we have to convert this to , since this is the unit used in the International Systme of Units for angular speed.
So, we can do this knowing that:
(2)
Where:
is the value of one revolution
is the period of rotation
With this information in mind, let's make the conversion:
(3)
(4) This is the wind turbine angular speed
Answer:
a = 0.25
r = 4
n = 5
Step-by-step explanation:
Given series is,
0.25 + 1 + 4 + 16 + 64
Ratio of 2nd and 1st term =
= 4
Ratio of 3rd and 2nd terms =
= 4
There is a common ratio 'r' = 4
First term of the given geometric series 'a₁' = 0.25
n = Number of terms in the series
n = 5