(((x + y) / 3) + (1 / x)) / (5 + (15 / x))
The best way is to make it one fraction.
Multiply by ((3x/3x) / (3x/3x)) to remove the other fractions.
((x(x + y)) + 3(1)) / (5(3x) + 3(15))
(x^2 + xy + 3) / (15x + 45)
Then factor to simplify
(x^2 + xy + 3) / (3(x + 15))
Phthagorean theorme is
a^2+b^2=c^2
where you have a right triangle and c =hypotonuse( normally the longest side, and opposite of right angle)
a and b are the legs
so we are given
one leg=8
hypotonues=10
subsitute
leg=a or b so just subsitute for one
subsitutt for b
a^2+8^2=10^2
expand
8^2=64
10^2=100
a^2+64=100
subtract 64 from both sides
a^2=36
square root both sides
a=6
answe ris 6 feet
Answer:
12
Step-by-step explanation:
Through 12 years he would have painted 72 paintings and since he hasn't sold two of them he has only sold 70.
Answer:
A person who has height less than 5.2521 m can walk under the rope without hitting his/her head.
Step-by-step explanation:
Radius of earth = R
Length of rope around Earth = Circumference of Earth = 2πR
Now add 33 m to the length of the rope that means to increase the circumference
C = 2πR+33
Now,
C = 2πR'
⇒2πR' = 2πR+33
In order to find the height we need to find difference of the radii
⇒2πR'-2πR = 33
So, a person who has height less than 5.2521 m can walk under the rope without hitting his/her head.
Answer:
<u>To solve for x using the exterior angle thm:</u>
3x + 6x = 99
9x = 99
x = 11
<u>m<T:</u>
3x
3(11)
33
<u>m<W:</u>
6x
6(11)
66
<u>m<TUW:</u>
180 - 99
81
