Answer:
Scale factor is the ratio of any two corresponding lengths in two similar geometric figures
Length of sign ×scale factor=length of flyer
scale factor = 1:3
Step-by-step explanation:
when you have two figures which are geometric similar, the scale factor is the ratio of their corresponding side's lengths.
To find scale factor you identify the sides that are similar in the figures then get the ratio of their lengths.
Given the dimensions of sign as ;
width= 2 feet--------change to inches by multiplying by 12 (1 foot=12 inches)
width=2*12=24 inches
length= 2feet 6 inches
length= 24+6 =30 inches
Hence the sign has dimensions
width=24 in
length=30 in
Flyers dimensions
width=8 in
length=10 in
Finding Scale factor
length of sign ×scale factor=length of flyer
30×scale factor=10
scale factor=10/30 =1/3 or 1:3
The correct answer is 10.
In order to evaluate any composite function, you need to first put the value in for the inside function. In this case f(x) is on the inside along with the number 3. So, we input 3 in for x in f(x).
f(x) = 2x + 1
f(3) = 2(3) + 1
f(3) = 6 + 1
f(3) = 7
Now that we have the value of f(3), we can stick the answer in for the outside function, which is g(x).
g(x) = (3x - 1)/2
g(7) = (3(7) - 1)/ 2
g(7) = (21 - 1)/2
g(7) = 20/2
g(f(3)) = 10
Answer:
$175
Step-by-step explanation:
let the original price be x
if 1/5 is off the price then the sells is at 4/5
4/5 of x = 140
thus,
4/5* x=140
4x = 140*5
x=700/4
x=$175
Given data:
The given distance is d=26 km.
We know 1 kilometer is equal to approx 0.621 miles.
1km= 0.621 miles
Multiply the above expression with 26 on both sides.
26(1 km)= 26(0.621 miles)
26 km= 16.146 miles.
Thus, 26 kilometer is equal to 16.146 miles
