If it takes one person 4 hours to paint a room and another person 12 hours to
paint the same room, working together they could paint the room even quicker, it
turns out they would paint the room in 3 hours together. This can be reasoned by
the following logic, if the first person paints the room in 4 hours, she paints 14 of
the room each hour. If the second person takes 12 hours to paint the room, he
paints 1 of the room each hour. So together, each hour they paint 1 + 1 of the 12 4 12
room. Using a common denominator of 12 gives: 3 + 1 = 4 = 1. This means 12 12 12 3
each hour, working together they complete 13 of the room. If 13 is completed each hour, it follows that it will take 3 hours to complete the entire room.
This pattern is used to solve teamwork problems. If the first person does a job in A, a second person does a job in B, and together they can do a job in T (total). We can use the team work equation.
Teamwork Equation: A1 + B1 = T1
Often these problems will involve fractions. Rather than thinking of the first frac-
tion as A1 , it may be better to think of it as the reciprocal of A’s time.
World View Note: When the Egyptians, who were the first to work with frac- tions, wrote fractions, they were all unit fractions (numerator of one). They only used these type of fractions for about 2000 years! Some believe that this cumber- some style of using fractions was used for so long out of tradition, others believe the Egyptians had a way of thinking about and working with fractions that has been completely lost in history.
A quadrilateral 24 ft long and 0 ft wide will have the smallest area.
Answer:
tan ∅ = 24 / 7
Step-by-step explanation:
cos ∅ = 7 / 25
sin^2 ∅ + cos^2 ∅ = 1
sin^2 ∅ + (7 / 25)^2 = 1
sin^2 ∅ = 1 - 49 / 625
sin^2 ∅ = 625 - 49 / 625
sin^2 ∅ = 576 / 625
sin ∅ = root 576 / 625
sin ∅ = 24 / 25
tan ∅ = sin ∅ / cos ∅
tan ∅ = 24/25 / 7/25
Therefore, tan ∅ = 24 / 7
OPTION 4. 24 / 7
Answer:
(10 - k) ÷ 5 = 9
(10 - 5) ÷ 5 = 9
5 ÷ 5 = 9
1 = 9
1 does not equal 9
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It is number 1 and number 2 because the equation is 242× 62 and Number 1 and 2 are just breaking it down
