Answer:
b = 38.22
Step-by-step explanation:
In the given triangle ABC, a = 3, b = 5 and c = 7 is given.
We have to find the measure of angle b.
To get the measure of any angle we will apply cosine rule in the triangle.
b² = a² + c² - 2ac(cosb)
5² = 3² + 7² - 2×3×7×cosb
25 = 9 + 49 - 42×cosb
25 = 58 - 42cosb
-42cosb = 25 - 58 = -33
cosb =
cosb = 0.7856
b = 38.22
b = 38.22 is the correct answer.
Answer:
β = arccos((a^2 + c^2 - b^2)/(2·a·c))
β = arccos((3^2 + 7^2 - 5^2)/(2·3·7)) = 38.21°
Frank can mow at a rate of 6/5 lawns per hour. In 50 hours, by multiplying the rate by the total time, we find that Frank can mow a total of 60 lawns.
To calculate this, we should utilize basic mathematical operations that apply to rate problems. We know Frank's rate is 6/5 lawns per hour, and we are given a total time of 50 hours.
So, to find the total number of lawns Frank can mow in 50 hours, we simply multiply his rate (6/5) by the total time (50 hours). This gives us (6/5) * 50 = 60 lawns.
Therefore, Frank can mow 60 lawns in 50 hours if he maintains his constant rate.
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well, we know his rate is 6/5 lawns/hour that means he can do 6 lawns in 1 hour, well, how many can he do in 50 hours?
The 4/6pieces per person or 2/3 of a piece of felt each person will get if four girls and two boys are working on an art project.
Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
Four girls and two boys are working on an art project.They have four square pieces of felt. If each person gets and equal share of the felt
Let x be the amount of a piece of felt each person will get
From the data given in the equation:
Total number of girls and boys = 4 girls + 2 boys
The total number of girls and boys = 6 people total.
x = 4/6 pieces per person
x = 2/3 of a piece
Thus, the 4/6pieces per person or 2/3 of a piece of felt each person will get if four girls and two boys are working on an art project.
Learn more about the fraction here:
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Step-by-step explanation:
If the tickets given to employees = 40
Then tickets given to listeners = 2 x no of employees tickets
= 2 x40 = 80
Total tickets = 40+ 80 = 120