Let's analyze the increments for each step of the sequence:
Each step we add 3 to the previous number.
Since we need the 20th, from what we saw, in the 20th term we will have added three 20 times.
So the procedure is: calculate how much is 3 times 20 and then add that to the first term of the sequence.
So we add 60 to the first term to find the 20th term:
Answer: 124
Volume of a sphere: V=(4/3)(pi)r^3
Radius: r=3 in
V=(4/3)(3.14)(3 in)^3
V=(4/3)(3.14)(27 in^3)
V=113.04 in^3
Answer: Third option 113.04 in^3
Answer:
it has only 1 solution
Step-by-step explanation:
(the lines only intersect once)
Answer:
The amount of fence needed to surround the mentioned space is:
Step-by-step explanation:
To identify the amount of fence, you must take all the measurements given in the exercise:
- Pool width = 20 ft
- Pool length = 40 ft
- Aditional area in each side = 10 ft
As each side has 10 additional feet, that is the lounge area, you must add 20 feet to each side of the pool, this is because, in the case of the width, you must add 10 feet to the right side and 10 feet to the left side, in the case of the length, you must add to each side 10 feet to the upper part and 10 feet to the lower part, in this form, the measurements of the fence must be:
- Width of fenced area = 40 ft
- Length of fenced area = 60 ft
As you know, the length has two sides and the length has two sides too, by this reason, we must multiply each value by 2 to obtain the amount of fence to all four sides of the lounge area:
- Amount of fence = 2(40 ft) + 2(60 ft)
- Amount of fence = 80 ft + 120 ft
- <u>Amount of fence = 200 ft</u>
As you can see, <u><em>the amount of fence needed to go around the lounge area is 200 feet</em></u>.
