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Len [333]
2 years ago
9

Pythagorean Theorem with Known Legs

Mathematics
2 answers:
stepan [7]2 years ago
5 0

you're given the pythagorean theorem, which is a^2 + b^2 = c^2.

what you're trying to find is ?, which is the number under the radical.

let's pretend one leg is a and the other is b.

a = 9

b = 10

so let's plug it into the equation. we get 9^2 + 10^2 = c^2

so that equals 81 + 100 = c^2

181 = c^2

so c will equal the square root of 181. therefore, ? = 181.

hope i helped! good luck.

VMariaS [17]2 years ago
4 0

Answer:

\boxed{\sf{C=\sqrt{181} }}

Step-by-step explanation:

Use the Pythagorean theorem formula.

<u>Pythagorean theorem formula:</u>

\Longrightarrow \sf{A^2+B^2=C^2}

A²=9

B²=10

C²=???

9²+10²=c²

Use the order of operations.

<u>PEMDAS stands for:</u>

  • Parentheses
  • Exponents
  • Multiply
  • Divide
  • Add
  • Subtract

<u>Do exponents.</u>

9²=9*9=81

81+10²=c²

10²=10*10=100

<u>Rewrite the problem down.</u>

81+100=c²

<u>Then, add.</u>

81+100=181

\longrightarrow \boxed{\sf{181}}

The missing length of c is 181.

Therefore, the correct answer is 181.

To learn more about Pythagorean theorem:

brainly.com/question/26183488

#SPJ1

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Simplify:<br> 2(5 + w) + 3(w + 2)
AlekseyPX

Answer:

16+5w

Step-by-step explanation:

2(5 + w) + 3(w + 2)

5+w evaluates to 5+w

Multiply 2 by 5+w

we multiply 2 by each term in 5+w term by term.

This is the distributive property of multiplication.

Multiply 2 and 5

1

2 × 5 = 10

Multiply 2 and w

Multiply 1 and w

The w just gets copied along.

w

2 × w = 2w

2*(5+w) evaluates to 10+2w

w+2 evaluates to w+2

Multiply 3 by w+2

we multiply 3 by each term in w+2 term by term.

This is the distributive property of multiplication.

Multiply 3 and w

Multiply 1 and w

The w just gets copied along.

w

3 × w = 3w

Multiply 3 and 2

1

3 × 2 = 6

3*(w+2) evaluates to 3w+6

To add the polynomials 10+2w and 3w+6 we try to add or combine terms in one polynomialwith any like terms in the other polynomial.

10 + 6 = 16

2w + 3w = 5w

The answer is 16+5w

2*(5+w)+3*(w+2) evaluates to 16+5w

The final answer is

16+5w

7 0
4 years ago
Read 2 more answers
The product of a number and 5”. 4 the difference of a number and 7
Leno4ka [110]

Step-by-step explanation:

the product of a number and 5

<em>n</em> - number

the product - it's multiplication

<h2><em>n · 5 = 5 · n = 5n</em></h2><h2 />

the difference of a number and 7

<em>n</em> - number

the difference - it's subtraction

<h2><em>n - 7</em></h2>
6 0
3 years ago
Jonathan works at a garden center. He earns $550 per month, plus an addtional $3 for each plant that he sells. Jonathan hopes to
Wewaii [24]

Answer:

550 + 3x > 1000, where x > 150

The quantities true for x are: x must be greater than 150

Step-by-step explanation:

The question claims he wants to earn OVER 1,000 that month. He already makes $550 and $3 PER PLANT he sells. Subtract $550 from $1000 and you would get 450. Then divide by 3. That makes 150 plants. So now we know the x needs to be GREATER THAN 150 plants to make over 1,000. The x would also go next to the 3 because the 3 represents how much per plant sold, and the 150 represents how many plants. The equation would be $550 + 3x > 1000, where x > 150.

4 0
3 years ago
Give the equation pls
Sveta_85 [38]

Answer: The equation of the line x + 3y = 9 can be written in the slope intercept form y = mx + c as . The slope of this line is . As the product of the slope of perpendicular lines is equal to -1, the slope of a line perpendicular to x + 3y = 9 is 3.

Step-by-step explanation:

ok im super sorry if this doesn't help I'm not partially skilled when it comes to this type of stuff and if it doesn't even relate to the question sorry qwq I really hoped it help and if it didnt just tell me and i can delete it

6 0
3 years ago
URGENT! DO NOT TROLL!
nexus9112 [7]
Hello!

The formula for area of a circle is \pi  r^{2}

\pi is 3.14 (which is 22/7), and r stand for the radius, which is half of the diameter. If the diameter is 28 cm, the radius is 14 cm.

\pi 14^{2}
\pi (196)
616

Answer:
Approximately 616 cm^{2}.

Hope this helps!
7 0
3 years ago
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