Answer:
The Earth making one revolution about the Sun.
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
To check my work I used desmos
4(x + 3)² = 25(x - 2)²
Square root both sides:
2(x+ 3) = 5(x - 2)
Distribute 2 and 5:
2x + 6 = 5x - 10
Take away 2x from both sides:
6 = 3x - 10
Add 10 to both sides:
16 = 3x
Switch sides:
3x = 6
Divide both sides by 3:
x = 2
Answer: x = 2
Answer:
It'll take him 1/4 hours to decorate the two signs.
Step-by-step explanation:
In order to know how long Roberto will take to decorate all the signs we need to find their surface area, since they're rectangular their area is given by the product of their dimensions.
First sign:
area1 = (2/3)*(1/4) = 2/12 = 1/6 foot²
Second sign:
area2 = (1/2)*(1/3) = 1/6 foot²
The total area he has to paint is the sum of their individual areas, so we have:
total area = area1 + area2 = 1/6 + 1/6 = 2/6 = 1/3 foot²
To find out how long he'll take to decorate this area we can use a rule of three as shown bellow:
3/4 hour -> 1 foot²
x hour -> 1/3 foot²
x = (3/4)*(1/3) = 1/4 hours
