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nadya68 [22]
2 years ago
5

Find the length of the missing side using the pythagorean theorem

Mathematics
1 answer:
fenix001 [56]2 years ago
8 0

Answer:

3

Step-by-step explanation:

Pythagorean Theorem: a²+b²=c²

You can fill in the numbers you know: a²+4²=5²

(Hypotenuse must be side c)

Square those numbers and you have: a²+16=25

Subtract 16 from both sides: a²=9

Square root both sides and you get: a=3

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The admission fee at a county fair is $2 for children and $4 dollars for adults. Suppose that on the last day, 1600 people enter
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2 cause ik I’m right
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A triangle has side lengths of x, x+11, and 3x+5.<br><br> What is the perimeter?
Tomtit [17]

Answer:

5x + 16

Step-by-step explanation:


7 0
2 years ago
Read 2 more answers
Three consecutive odd integers have a sum of 27. Find the integers.
jek_recluse [69]

\sf \bf {\boxed {\mathbb {GIVEN:}}}

Sum of three consecutive odd integers = 27

\sf \bf {\boxed {\mathbb {TO\:FIND:}}}

The values of the three integers.

\sf \bf {\boxed {\mathbb {SOLUTION:}}}

\sf\purple{The\:three\:consecutive \:odd\:integers\:are\:7,\:9\:and\:11.}

\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}

Let us assume the three consecutive odd integers to be x, (x+2) and (x+4).

As per the condition, we have

Sum \:  \:  of \:  \:  the  \:  \: three \:  \:  consecutive \:  \:  odd \:  \:  integers  = 27

➺ \: x + (x + 2) + (x + 4) = 27

➺ \: x + x + 2 + x + 4 = 27

Now, collect the like terms.

➺ \: (x + x + x) + (2 + 4) = 27

➺ \: 3x + 6 = 27

➺ \: 3x = 27 - 6

➺ \: 3x = 21

➺ \: x =  \frac{21}{3} \\

➺ \: x = 7

Therefore, the three consecutive odd integers whose sum is 27 are \boxed{  7  }, \boxed{ 9   } and \boxed{ 11   } respectively.

\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}

⇢ 7 + 9 + 11 = 27

⇢ 27 = 27

⇢ L. H. S. = R. H. S.

\sf\blue{Hence\:verified.}

\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}

4 0
3 years ago
Austin bought 5 pairs of jeans and 2 shirts for $166. Travis bought 3 pairs of jeans and 4 shirts for $164 at the same store. Ho
OLEGan [10]

Answer:

pair of jeans = 21  

shirt = 30.5

Step-by-step explanation:

Let the cost of each pair of jeans be $ x, and the cost of each shirt be $ y.

Since, cost of each pair of jeans is $ x, the cost of 5 pair of jeans will be $ 5x and cost of 2 shirts will be $ 2x.

Likewise, the cost of each pair of jeans is $ x, so the cost of 3 pair of jeans will be $ 3x and cost of 4 shirts will be $ 4y.

5 pair of jeans and 2 shirts for $166. This means:

            Equation 1:    5x + 2y = 166                                            

3 pair of jeans and 4 shirts for $164. This means:

                               2x + 4y = 164

Dividing both sides by 2, we get:

           Equation 2:      x + 2y = 82                                            

Subtracting Equation 2 from Equation 1, we get:

5x + 2y - (x + 2y) = 166 - 82

5x + 2y - x - 2y = 84

4x = 84

y = 30.5

Using the value of x, in Equation 2, we get:

21 + 2y = 82

2y = 61

y = 30.5

Since, x represents the cost of pair of jeans, the cost of each shirt is $ 16.

y represents the cost of sweater, so the cost of each sweater is $ 33.

4 0
2 years ago
8 minus 3 2/5 I do t know how to add a fraction to the 8. Are you outs there SuperSychoGamer
uysha [10]
I believe it is, 9/5. 

Mixed fraction: 1 4/5.
4 0
3 years ago
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