7We can see that line NM = JK so NM also equals 10.
We know NL = 23 and NM = 10 therefore, ML = NL -NM ML = 23 -13
ML = 10
The last thing to solve is the length of KL
KL = ML / sine 34
KL = 10 / 0.55919
KL = 17.9
Total fence length required = JK + KL + NL =
13 + 17.9 + 23
= 53.9 yards
Cost of Fencing = $3.50 * 53.9 =
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$188.65
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This is a system of equations. You can solve it by substitution or elimination. I'm going to use substitution x - 2y = -4.5; add 2y to each side x - 2y + 2y = -4.5 + 2y; simplify x = 2y - 4.5 2(2y - 4.5) + 3y = 12 4y - 9 + 3y = 12 7y - 9 = 12 7y - 9 + 9 = 12 + 9 7y = 21 y = 3 <--------first answer x - 2y = -4.5 x - 2(3) = -4.5 x - 6 = -4.5 x -6 + 6 = -4.5 + 6 x = 1.5 <--------second answer Check: 2(1.5) + 3(3) = 12? 3 + 9 = 12? 12 = 12; It checks 1.5 - 2(3) = -4.5? 1.5 - 6 = -4.5? -4.5 = -4.5; It checks x = 1.5 and y = 3 <-----------Final Answer
The equation set up would look like this.. 16•26.2=416.32 of what Robertos completion of the marathon
<span><span>Equation:- 45+<span><span>5/6 </span>x</span></span>=50
</span>1) Simplify both sides of the equation. <span><span><span><span>5/6 </span>x </span>+ 45 </span>= 50
</span>2) Subtract 45 from both sides. <span><span><span><span><span>5/6 </span>x </span>+ 45 </span>− 45 </span>= <span>50−45 </span></span><span><span><span>5/6 </span>x</span>=5
</span>3) Multiply both sides by 6/5.<span><span><span>(<span>6/5</span>)</span>*<span>(<span><span>5/6 </span>x</span>)</span></span>=<span><span>(<span>6/5</span>)</span>*<span>(5)</span></span></span><span>x=6
SO, x=6.
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Hope I helped.
This situation is a right triangle with the base measuring 18 and the hypotenuse 22. We are looking for x, the height up the pole that the wire is going to be attached to. We will use Pythagorean's Theorem to find the missing length.
and
. x^2 = 160 so x =
or 12.65 feet
