The first term is 2 and the 20th term is 1048576 .
<u>Step-by-step explanation:</u>
Here we have , If the sum of the first 12 terms of a geometric series is 8190 and the common ratio is 2. We need to Find the first term and the 20th term. Let's find out:
We know that Sum of a GP is :
⇒ 
So ,Sum of first 12 terms is :
⇒ 
⇒ 
⇒ 
⇒ 
Now , nth term of a GP is
⇒ 
So , 20th term is :
⇒ 
⇒ 
⇒ 
Therefore , the first term is 2 and the 20th term is 1048576 .
We know that 4 cans of coffee cost $1.60. So, if we divide that number by 4, we get
Now we can simply repeat this process again: if we divide both sides by 4, we get
Divide 128 by 16 to get how many balloons will go on each post.
128 ÷ 16 = 8
8 balloons per post :)
Answer:
a. 16π cm²
b. 24π cm²
c. 33 1/3π cm²
d. 64π-128 cm²
e. 144π-288 cm²
Step-by-step explanation:
To find area of shaded region, find area of whole circle then divide the area where you're left with the area of the shaded region. For the problems with the triangles you find the area of the triangle then subtract that from a fourth of the area of the circle.
Area of a circle = πr²
a.
r=8cm
Area of circle=64π cm²
Shaded region=16π cm²
b.
r=12cm
Area of circle=144π cm²
Shaded region=24π cm²
c.
r=10cm
Area of circle=100π cm²
Shaded region=33 1/3π cm²
d.
r=16cm
Area of circle=256π cm²
Area of triangle=128 cm²
Shaded region=64π-128 cm²
e.
r=24
Area of circle=576π cm²
Area of triangle=288 cm²
Shaded region=144π-288 cm²
Step-by-step explanation:
perimeter = 332
let the width be 'x'
then, length = 2x+7
perimeter = 2 (length+width)
332 = 2 ( 2x+7 + x )
332/2 = 3x + 7
166 - 7 = 3x
159/3 = x
53 = x
therefore, width (x) = 53
length = 2(53)+7
= 113
