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Svetach [21]
2 years ago
12

The second side of a triangular deck is 5 feet longer than the shortest​ side, and the third side is 5 feet shorter than twice t

he length of the shortest side. If the perimeter of the deck is 72 ​feet, what are the lengths of the three​ sides?
Mathematics
1 answer:
viva [34]2 years ago
5 0

Answer: the length if the three sides are 31 feet, 23 feet and 18 feet.

Step-by-step explanation:

Let x represent the length of the shortest side of the triangle.

Let y represent the length of the second side of the triangle.

Let z represent the length of the third side of the triangle.

The second side of a triangular deck is 5 feet longer than the shortest​ side. This means that

y = x + 5

The third side is 5 feet shorter than twice the length of the shortest side. This means that

z = 2x - 5

If the perimeter of the deck is 72 ​feet, it means that

x + x + 5 + 2x - 5 = 72

4x = 72

x = 72/4 = 18

z = 2x - 5 = 2 × 18 - 5

z = 36 - 5

z = 31

y = x + 5 = 18 + 5

y = 23

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The formula for finding the perimeter of a rectangle is P = 2L + 2W. If a rectangle has a perimeter of 68 inches and the length
Artemon [7]

Answer:

Width = 10 inches

Step-by-step explanation:

Given the perimeter of a rectangle of 68 inches, and a length that is 14 inches longer than its width.

We can establish the following values to help us solve for the width of a rectangle:

Perimeter (P) = 68 inches

Length (L) = 14 + W inches

Width (W) = unknown

<h3 /><h3><u>Solve for the Width (W)</u></h3>

P =  2(L + W)  ⇒ This is the same as P = 2L + 2W, except that 2 is factored out from the right-hand side.

Divide both sides by 2:

\displaystyle\mathsf{\frac{P}{2}\:=\:\frac{2(L\:+\:W)}{2}}

\displaystyle\mathsf{\frac{P}{2}\:=L\:+\:W}

Substitute the value of the Perimeter and the length (L) into the formula:

\displaystyle\mathsf{\frac{68}{2}\:=14\:+W\:+\:W}

Combine like terms on the right-hand side, and simplify the left-hand side of the equation:

\displaystyle\mathsf{34\:=14\:+2W}

Subtract 14 from both sides:

34 - 14 = 14 - 14 + 2W

20 = 2W

Divide both sides by 2 to solve for the width (W):

\displaystyle\mathsf{\frac{20}{2}\:=\:\frac{2W}{2}}

W = 10 inches

Therefore, the width of the rectangle is 10 inches.

<h3 /><h3><u>Double-check:</u></h3>

Verify whether the derived value for the width is correct:

P = 2L + 2W

68 = 2(14 + 10) + 2(10)

68 = 2(34) + 20

68 = 48 + 20

68 = 68 (True statement).  

Thus, the length of the rectangle is 34 inches, and the width is 10 inches.

4 0
2 years ago
What 2/9rounded to the nearest whole number
Arte-miy333 [17]
The answer is 3 because if you were to round 2.9 the next whole up from that is 3
4 0
3 years ago
Plss help me do this o-o
Vinvika [58]

Answer:

x=\sqrt6\\y=\sqrt{12}

Step-by-step explanation:

We know that since angles in a triangle add up to 180º, the remaining angle must be 45º.

So the side with length x must be equal to the side with length \sqrt6. That is:

x=\sqrt6

Now, by Pythagoras:

y=\sqrt{(\sqrt6)^2+(\sqrt6)^2}\\=\sqrt{6+6}\\=\sqrt{12}

4 0
2 years ago
Read 2 more answers
If z=sprt5 -sprt2, then Izl=​
ASHA 777 [7]

Answer:

3

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because sprt - sprt = 0

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3 0
3 years ago
PLEASE HELP! URGENTTTTTT 
skad [1K]
25% is being taken off the original price, p, of each patio chairs. 

That means the price of each patio chair is the full price, p, minus <span>25% of the original price.
1) To find 25% of the original price, multiply p (original price) by the decimal form of 25%, or 0.25. That means 25% off original price = 0.25p. 
2) Now subtract 0.25p from the original price of the chairs to find the price of each (1) chair. p - 0.25p

Shylah is buying 4 chairs at that discounted price. That means you need to multiply the discounted price, </span> p - 0.25p, by 4. Shylah is paying 4(p-0.25p) total for the 4 chairs, which is answer choice B.

Since you can choose more than one choice, you can simplify 4(p-0.25p) by subtracting what is in the parathesis, then multiplying, following the order of operations:
4(p-0.25p) 
= 4(0.75p)  
= 3p
That is answer choice A. 

--------

Answer: Choices A and B, <span>3p and 4(p−0.25p).</span>
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