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vivado [14]
3 years ago
10

the perimeter of a right triangle is 30 inches. The longer leg is 2 more than twice the shorter leg. The hypotenuse is one more

than the longer leg. Find the area of the triangle?
Mathematics
1 answer:
emmasim [6.3K]3 years ago
8 0

Answer:

s represents the shorter leg

3s - 9 represents the longer leg

2s + 1 represents the hypotenuse

(2s + 1)2 = s2 + (3s - 9)2                 Pythagorean Theorem

4s2 + 4s + 1 = s2 + 9s2 - 54s + 81  square binomial

4s2 + 4s + 1 = 10s2 - 54s + 81        combine like terms

0 = 6s2 - 58s + 80                           set to 0

0 =3s2 - 29s + 40                            divide both sides by 2

0 = (3s - 5)(s - 8)                             FOIL

{5/3, 8}

5/3 is not feasible since 3(5/3) - 9 is negative.

-by-step explanation:

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We need to find the percentage of the extra feet that she measured, so first we have to find out how much that is. We can do this by simply subtracting:

4.27 - 4 = 0.27

Now we can set up a proportion to find the percentage.

\frac{0.27}{4}  \frac{x}{100}

Solve for x

0.27 x 100 = 27
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The answer is 6.75% :)

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6 0
3 years ago
2x-3y=5.5<br> What is the solution to the system of equations shown above
sasho [114]

Answer:

⸻⸻⸻⸻⸻

Solving

2X + 3Y = 5.5

⸻⸻⸻⸻⸻

Simplifying

2X + 3Y = 5.5

⸻⸻⸻⸻⸻

<u>Solving for variable 'X'. </u>

<u> Move all terms containing X to the left, all other terms to the right.</u>

⸻⸻⸻⸻⸻

Add -3y to each side of the equation.

2x + 3y + -3y = 5.5 + -3y

⸻⸻⸻⸻⸻

Combine terms: 3y + -3y = 0.

2x + 0 = 5.5 + -3y

2x = 5.5 + -3y

⸻⸻⸻⸻⸻

Divide each side by 2.

x = 2.75 + -1.5y

⸻⸻⸻⸻⸻

Simplifying.

x = 2.75 + -1.5y

⸻⸻⸻⸻⸻

5 0
3 years ago
Please help I will mark brainliest
Andreas93 [3]

is the same as picking from a points set hmmm, notice the table is an x,y table, so we can just pick any two points to get the slope and thereby the equation.


3)


let's use (100, 36.5) and (300, 106.5)


\bf (\stackrel{x_1}{100}~,~\stackrel{y_1}{36.5})\qquad  (\stackrel{x_2}{300}~,~\stackrel{y_2}{106.5}) \\\\\\ slope =  m\implies  \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{106.5-36.5}{300-100}\implies \cfrac{70}{200}\implies \cfrac{7}{20} \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-36.5=\cfrac{7}{20}(x-100) \\\\\\ y-36.5=\cfrac{7}{20}x-35\implies y=\cfrac{7}{20}x+1.5


4)


and for this one let's pick say (35, 88) and (45, 82)


\bf (\stackrel{x_1}{35}~,~\stackrel{y_1}{88})\qquad  (\stackrel{x_2}{45}~,~\stackrel{y_2}{82}) \\\\\\ slope =  m\implies  \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{82-88}{45-35}\implies \cfrac{-6}{10}\implies -\cfrac{3}{5} \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-88=-\cfrac{3}{5}(x-35) \\\\\\ y-88=-\cfrac{3}{5}x+21\implies y=-\cfrac{3}{8}x+109

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Dmitriy789 [7]

Answer:B Get a more random person sample from the town

Step-by-step explanation:

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How to figure retro salary payroll?
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Step-by-step explanation:

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$3 per hour X 32 hours = $96 due in retroactive pay.

3 0
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