Answer:
<h2>a = 400/21, b = 580/21</h2>
Step-by-step explanation:
Small triangles are similar. Therefore, the sides are proportional
<em>cross multiply</em>
<em>divide both sides by 21</em>
For b, we can use the Pythagorean theorem:
The answer to your question is 83
Answer:
40 feet
radius is half of the diameter, so the radius is half of 40
radius = diameter/2
radius = 40/2
radius=20 feet
Answer: 720ways, 24ways
Step-by-step explanation:
Given the seven letter words "SYSTEMS", if E is always occurring before M it means E and M will always be together therefore they letter 'EM' will be taken as an entity to five us 6letters i.e SYST(EM)S.
This can then be arranged in 6!ways
6! = 6×5×4×3×2×1 = 720ways
Similarly, if the E somewhere before the M and the three Ss grouped consecutively, this means E and M must always be together as well as the Ss to give (SSS)YT(EM).
This means that the letters in the bracket can be taken as an entity to give a total of 4 entities. This can them be arranged in 4! ways.
4! = 4×3×2×1
4! = 24ways
N=number of nickles
d=number of dimes
q=number of quarters
use cents for everything
total value=585
5n+10d+25q=585
divide everybody by 5 to simplify
n+2d+5q=117
we have
nicles are 5 more than quarters
n=5+q
4 times as many dimes as quarters
d=4 times q
d=4q
sub those in
5+q+2(4q)+5q=117
5+6q+8q=117
5+14q=117
minus 5
14q=112
q=8
sub back
n=5+q
n=5+8
n=13
d=4q
d=4(8)
d=32
13 nickles
32 dimes
8 quarters
divide both sides by 22
