Answer:
72.83
Step-by-step explanation:
61²+x²=95²
3721+x²=9025
x²=<u> </u><u>530</u><u>4</u>
<u>x</u><u>=</u><u> </u><u>72.83</u>
So x + y = 45, and 4x + 5y = 195. Get y by itself. Subtract x from both sides in the first equation to get y = 45 -x, and subtract 4x from the second equation to get 5y = 195 - 4x. Divide by 5 to both sides to get y = 39 - 4/5x. 39 - 4/5x = 45 - x. Add x to both sides to get 39 - 1/5x = 45. Subtract 39 from both sides to get -1/5x = 6. Divide by -1/5 to get x = -30, or 30. In the first equation, do 30 + y = 45. Subtract 30 from both sides to get y = 15. Check. 4(30) + 15(5) = 195, or 120 + 75 = 195.
4/5-3/7. First they need the same denominater: 4/5(7)=28/35, 3/7(5)=15/35. 28/35-15/35. Now subtract numerators: 28-15=13. So your answer H. 13/35 :)
Answer:


Step-by-step explanation:
Solve the following equation:
-In order to solve a pair of equations by using substitution, you first need to solve one of the equations for one of variables and then you would substitute the result for that variable in the other equation:
-First equation:

-Second equation:

-Choose one of the two following equations, which I choose the first one, then you solve for
by isolating

-Subtract
to both sides:

-Subtract
to both sides:


-Divide both sides by
:


-Multiply
by
:


-Substitute
for
in the second equation, which is
:


Multiply
by
:


-Combine like terms:


-Subtract
to both sides:


-Multiply both sides by
:


-After you have the value of
, substitute for
onto this equation, which is
:


-Multiply
and
:


-Since both
and
have the same denominator, then add the numerators together. Also, after you have added both numerators together, reduce the fraction to the lowest term:



a tree casts a 25-foot shadow on sunny day. If the angle of elevation from the tip of the shadow to the top of the tree is 32 degree, what is the height of the tree to the nearest tenth of a foot?
Tan(32)=H/25
0.624869=H/25
H=.624869 X 25
H=15.6 feet-Height of the tree.