2x = 10√3
=> x = 10√3 / 2
=> x = 5√3
hence missing side of triangle is 5√3
Find two numbers that add to -4 and that multiply to -21.
After playing around with some numbers, I got -7 and 3.
So, the factored form is (x - 7)(x + 3).
(2x+5)(x-6)
(2x)(x)(2x)(-6)(+5)(x)(5*-6)
2x^2-12x+5x-30
(2x+5)(x-6)
Answer: (2x+5)(x-6)
Answer:
60 litres
Step-by-step explanation:
To obtain the greatest volume of the tin, we calculate the highest common factor of both 120 and 80
Factors of :
80 : 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
The highest common factor is 60.
Hence, the greatest volume of the tin would be 60 litres
Answer: Problem 3: 20 laps per day,
Inequality: x >=20 per day
Problem 4: minimum of 8 employees
Step-by-step explanation:
Given that the goal is 600 laps in a month
And a month contains 30days, to achieve 600 laps, we divide 600 laps by 30 days
= 600/30= 20
Reem needs to swim a minimum of 20 laps per day to achieve her goal.
Inequality: x should be greater than or equal to 20 laps daily.
x >= 20
Problem 4:
Given that each employee can paint 85square feet per hour
The building has 1360 square feet and to be completed in two hours
Number of employees to complete the job in one hourwill be 1360/85 = 16
If 16 employees will complete 1360 per hour, then 8 employees will complete the work in 2 hours.