Answer:
313 shapes
Step-by-step explanation:
The nth term is 3n+1
so 3x104=312+1= 313 shapes
Original
Z = X/5
Solve for X
Multiply both sides by 5
5Z = X
Answer
X = 5Z
If they intersect at a 90 degree angle it’s B. If they never intersect if they continued for ever it’s A. If they intersect but it’s not at a 90 degree angle it’s D.
Lets say, for ease, that the vat can hold a total of 70 gallons (or whatever you would like to use.) Use whatever number you want, I just picked this because it gives us a lot of clean numbers.
Now, if the inlet can fill it in 7 hours, that means that it is adding 10 gallons per hour. (70 gal/7 hours = 10 gal/hr)
For the outlet, use the same process, and you find that it drains the vat at 7 gallons per hour.
So, if you subtract the outlet from the inlet, you get 10 - 7 = 3 gallons per hour added.
Now just divide the size of the vat by that number, and you find your answer.
70 gallons / 3 gallons per hour = 23 1/3 hours.
Answer:
Approximately 117.81 ft²
Step-by-step explanation:
Find the area of the whole circle
A=πr²
A=π(15)²
A=706.86 ft²
Now you need to find the area of the garden covered in roses, so take the total degrees in a circle (360) and divide it by the degrees of the roses (60).
360/60=6
Take the area of the whole circle (706.86 ft²) and divide it by the number you just got (6). The number you get will be the area of the rose section.
706.86/6= 117.81 ft²
