Answer:
If both computers are working together, it will take 24 minutes to do the job
Step-by-step explanation:
It is given that,
There are two computers.The slower computer can send all the company's email in 60 minutes.
The faster computer can complete the same job in 40 minutes
<u>To find the LCM of 40 and 60</u>
LCM (40, 60) = 120
<u>To find efficiency of 2 computers</u>
Let x be the efficiency of faster computer and y be the efficiency of faster computer
x = 120/40 = 3
y = 120/60 = 2
then, x + y = 3 + 2 = 5
Therefore efficiency of both the computer work together = x + y =5
<u>To find the time taken to work both the computer together</u>
time = 120/5 = 24 minutes
Answer:
210°
Step-by-step explanation:
Given
sinΘ = - 
Note taken the inverse sine of the positive value of the ratio, gives the related acute angle, that is
Θ =
(
) = 30° ← related acute angle
Thus the required angle in the third quadrant is
Θ = 180° + 30° = 210°
If the triangle has two congruent sides.
Answer:
B) 7 cans
Step-by-step explanation:
First task is to determine how many square units we have.
With the rectangle spanning 2 units on the X-axis and 3 unites on the Y-axis, we know that it has an area of 6 square units.
The two triangle shapes sum up to one unit total, since a triangle's area is (base * height) / 2. Both have a base of 1 unit, and a height of 1 unit... so (1 * 1) / 2 = 1/2 for each triangle. Together, they occupy 1 unit.
So, total is 7 square units. Let's imagine it as a 7-unit by 1-unit rectangle, it will be easier to calculate. Each unit is 5 feet. So, this rectangle measures 35 (7 * 5) feet long, by 5 (1 * 5) feet wide... for a total of 175 (35 * 5) sq feet.
Since a can of paint can cover 25 sq feet, he'll need 7 cans (175 / 25).