Answer:
1. 18.85in
4. 25.13m
Step-by-step explanation:
I got you
So to find the circumference of any circle we use the equation 2pi(r)
2(3.1415)(3)= 18.85in for the first one because radius is half of the diameter which is 6 so half of 6 is 3
For 4. 4m is actually the radius so just plug that into the equation 2pi(4)=25.13m
Given
base=2x+6
height=x+4
and
area=56 square units
56=1/2 times (2x+6) times (x+4)
times bot sides by 2
112=(2x+6)(x+4)
expand
112=2x²+14x+24
divide both sides by 2
56=x²+7x+12
minus 56 both sides
0=x²+7x-44
factor
waht 2 numbers mulitply to get -44 and add to get 7
11 and -4
0=(x-4)(x+11)
set to 0
x-4=0
x=4
x+11=0
x=-11
false, measures can't be negative
x=4
height=x+4
height=4+4=8
base=2x+6
base=2(4)+6=8+6=14
x=4 and base=14 and height=8
Let the youngest sister be n years
Lana will be 2n years, as her youngest sister is half her age
The age of the twins separately will be 2n-2 as they are 2 years younger than Lana
So, the equation looks like this:
n + 2n + 2(2n-2) = 45
Now solve for n:
3n + 4n - 4 = 45
7n - 4 = 45
7n = 49
n = 7
So the youngest sister is 7, Lana is 14 and the twins are 12. 14 + 12 + 12 + 7 =45
Answer:
the markup percentage is 66.67%
Step-by-step explanation:
The computation of the percent of markup based on cost is shown below:
= (Selling price - paid price) ÷ (paid price)
= ($15 - $9) ÷ ($9)
= 66.67%
By taking the difference of the selling price & paid price and then divided it by paid price we can get the percentage of markup
Hence, the markup percentage is 66.67%
