a = 4 first term, r = ?, T10 = 100.
Tn = ar^n - 1 formula for g.p
T10 = 4r^ 10 - 1
100 = 4r^9
Divide both side by 4
100/4 = 4/4r^9
25 = r^9 take the 9th root of both side
9√25 = 9√r^9
r = 9√25
To find the nth term
Since Tn = ar^n - 1
1. First, do 12 x 8 to work out the area of the rectangle, which is 96ft.
Then, to work out the area of a circle, you use the equation πr² to help you. You would multiply π by the radius², which is 16. Now you have just worked out the area of a circle, but not a semicircle, so you would have to divide your answer by two to get the area of this, which would be 25.13 (rounded to 2 d.p).
To get the area of the whole shape, you just have to add the two totals together.
25.13 + 96 = 121.13ft.
Remember to put the units there, or you can lose marks.
Try your best with the next questions! I have written the formulas for the other shapes to help you work out the answers.
Area of a square = Multiply sides together.
Area of rectangle = Multiply width by length.
Area of a circle = Multiply π by the radius².
Area of a semicircle = Multiply π by the radius², and the divide by two.
Area of a triangle = Multiply the base by the height, and then divide by two.
Really hope this helps!
Answer:
w=6ft
Step-by-step explanation:
72 divided by 12 is 6
Using the formula
A=wl
Solving for w
w=A
l=72
12=6ft
The heights of the students in a class are (in inches) 60, 72, 56, 57, 74, 61, 64, 63, 66, 56, 72, 72, 71, 74, 61
Alexandra [31]
Answer:
There is a 11% chance that someone 5 foot 6 inches would get chosen.
Step-by-step explanation:
5*12=60
60+6=66
there are 19 numbers
66/19=.105263
you would then round up the tenths place due to the value of the thousandths place being above 5.
Answer:
The answer is 1
Step-by-step explanation:
2(a+7)−7=9
Step 1: Simplify both sides of the equation.
2(a+7)−7=9
(2)(a)+(2)(7)+−7=9(Distribute)
2a+14+−7=9
(2a)+(14+−7)=9(Combine Like Terms)
2a+7=9
2a+7=9
Step 2: Subtract 7 from both sides.
2a+7−7=9−7
2a=2
Step 3: Divide both sides by 2.
2a
2
=
2
2
a=1
