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Klio2033 [76]
3 years ago
13

Calculate the missing length on the right triangle using the Pythagorean theorem

Mathematics
1 answer:
MAXImum [283]3 years ago
3 0

So the pythagorean theorem is leg^2+leg^2=hypotenuse^2 , or often known as a² + b² = c². Since we see that 8 and 6 are our legs and c is our hypotenuse, plug them into the equation to solve for c:

8² + 6² = c²

Firstly, solve the exponents:

64 + 36 = c²

Next, solve the addition:

100 = c²

Lastly, square root both sides and <u>your answer will be:</u>

10 = c

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eight times the smaller of two numbers plus two times the larger number is 44. Three times the smaller number minus two times th
Anni [7]

Answer:

4 and 6

Step-by-step explanation:

Let the smaller number be x

The bigger number be y

Eight times the smaller of two numbers plus two times the larger number is 44.

8x+2y=44

Three times the smaller number minus two times the larger number is zero

3x-2y=0

8x+2y=44

3x-2y=0

Using elimination method

Add both sides

8x+3x+2y+(-2y)= 44+0

11x= 44

x=44/11=4

Put x = 4 back in one of the equation

3x-2y=0

3(4)-2y=0

12-2y=0

Add 2y to both sides

12 = 2y

Divide both sides by 2

12/2 =y = 6

The smaller number (x) is 4 and the larger number (y) is 6

7 0
3 years ago
Read 2 more answers
Katie is k years old. Harry is 4 years older than Katie. Rachel is twice as old as Harry. If you add together the ages of Katie,
vichka [17]
K+(k+4)+2k=36
4k+4=36
4k=36-4
4k=32
k=8
5 0
4 years ago
MSRP (Manufacturer's Suggested Retail Price) = $18.99 retailer's price = $14.99 discount = ?%
Gala2k [10]

Discount=$ 4

Discount percent :21.06%

solution given:

Marked price: $18.99

selling price: $14.99

Now

discount : Marked price - selling price

:$18.99- $14.99

:$4

Now

discount percent:\frac {discount}{marked \:price} *100\percent

=\frac {4}{18.99}*100%

=21.06%

5 0
3 years ago
Read 2 more answers
Sam and Liam raced each other up and then down the hill. Sam's average speed up the hill was 1 mph, and his average speed down t
Radda [10]

So, we know that it takes Sam 1 mph up and 9 mph down and it takes Liam both 2 mph down and up the hill. So if we divide the 2 mph for Liam by 2 miles (the whole length of the hill)  we will get 1 or 1 hour. Then we do 1/1 (i don't know how to explain this part of why we do that, sorry) and than we do 1 / 9 and we get 1/9 so we add them and get 1 1/9 so that's Sam's time.

      So, Liam took one hour and Sam took 1 and 1/9 hours, in conclusion liam was faster

<h2> (I'm really sorry for my bad explaining, i tried my best)</h2>
8 0
4 years ago
The low temperature in one city was -4°F. The low temperature in another city was 8°F. Write an inequality to compare the temper
Vikki [24]

-4 < 8. Negatives are lower than positives so the inequality should be negative is less than 8
8 0
3 years ago
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