Answer:
Step-by-step explanation:
The square base measures 8 inches by 8 inches. The slant height is 10 inches.
The formula for determining the area of the square base of the pyramid is l^2. Therefore,
Area of the base = 8^2 = 64 inches^2
The formula for determining the perimeter of the square base is
4l. It becomes
4 × 8 = 32 inches
The amount of construction paper needed to make this pyramid is the total surface area of the pyramid. Therefore,
Total surface area = (1/2 × 32 × 10) + 64
= 160 + 64 = 224 inches^2
Answer:
5(3) + i = 30
15 + i = 30
Step-by-step explanation:
Answer:
1. Slope = -2 , y-intercept = 1
2. Slope = 5 , y-intercept = -15
3. Slope = 1.5 , y-intercept = -2
4. Slope = -3 , y-intercept = 9
Step-by-step explanation:
1. The slope is -2 because using the formula y₁-y₂÷x₁-x₂ you can use the points given to you to get -2. It doesn't matter which one you pick as y1 or y2, just make sure you keep it consistent with the x numberings. I did 1--3 (which becomes 1+3) and 0-2. Those equal 4/-2 which gives you -2. Use these same steps for all of them, but with ones that don't have the points given, just pick two that are whole numbers and not decimals. For finding the y-intercept, just find the point that is on the y axis line. It is given on number one as (0,1). So, the y-intercept is 1. Hope this helps!
Answer:
a(n) = 5*2^(n-1)
Step-by-step explanation:
The nth term of a geometric series is given by the relation :
a(n) = ar^(n-1)
Where, a = first term ; r = common ratio ; a(n) = nth term of the series.
Given the series : 5, 10, 20, 40,
First term, a = 5
Common ratio = a2/ a1 = a3/a2
Common ratio = 10/5 = 20/10
Common ratio = 2 = 2
Hence, nth term =
a(n) = 5*2^(n-1)
