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Aliun [14]
3 years ago
6

The lengths of the legs of a right triangle are 6 cm and 8 cm. What is the length of the hypotenuse?

Mathematics
2 answers:
rosijanka [135]3 years ago
7 0
You can find the missing side of a right triangle by using the Pythagorean Theorem (a² + b² = c²), where c is the hypotenuse. So, just plug the given numbers in and solve for c.

a² + b² = c²   Plug 6 and 8 in for a and b (order doesn't matter)
6² + 8² = c²   Square both numbers
36 + 64 = c²   Add
100 = c²   Take the square root of both sides
10 = c   Switch the sides of the equation to make it easier to read
c = 10

So, the hypotenuse of the triangle is 10 cm.
Svetllana [295]3 years ago
6 0
You require the Pythagorean Theorem: in a right triangle, the sum of the squares of the legs equals the square of the hypotenuse.In this case 6^2 + 8^2 = 36 + 64 = 100 = 10^2
 the hypotenuse is 10.
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Use the expression - 8( - 2.5-7).
Paladinen [302]

Answer:

20+56 or basically 76

Step-by-step explanation:

Just multiply -8 to -2.5 and -7.

6 0
3 years ago
Which equation represents a line that passes through (-9,-3) and has a slope of -6?
zmey [24]

Answer: y=-6x-57

Step-by-step explanation: the normal format of a linear equation is

y=(slope)x+y intercept. The slope is -6 so y=-6x+y intercept. Plugging in the cordinates, -3=-9(-6)+y intercept. We'll call the y intercept b. -3=54+b. Subtract 54 from both sides of the equation and you get b=-54. The linear equation is

y=-6x-57.

You can check by plugging in x= -9, and y= -3. -3=54-57. -3=-3

4 0
3 years ago
Stella wants to buy a remote control helicopter. The one she wants costs $120.
aalyn [17]

.45 * 120 = 54

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5 0
2 years ago
Read 2 more answers
Find the midpoint of the line segment with the given endpoints. 1) (-4, -9), (-6, -6)
weeeeeb [17]

Answer:

The answer is

<h2>( - 5 \: , \:  -  \frac{15}{2} )</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a given line segment can be found by using the formula

<h3>M = ( \frac{x1 + x2}{2}  , \frac{y1 + y2}{2} )</h3>

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-4, -9), (-6, -6)

The midpoint is

<h3>M = ( \frac{ - 4 - 6}{2}  , \:  \frac{ - 9 - 6}{2} ) \\  = ( -  \frac{10}{2} , -  \frac{15}{2} )</h3>

We have the final answer as

<h3>( - 5 \: , \:  -  \frac{15}{2} )</h3>

Hope this helps you

8 0
3 years ago
in a game of poker, five players are each dealt 5 cards from a 52-card deck. how many ways are there to deal the cards?
Jlenok [28]

The number of ways to deal 5 cards to 5 players from a 52-card deck in a game of poker is (52!)/[(27!)*(5!)^5].

  • Permutations and combinations define nCr as ways of selecting 'r' number of items from 'n' items. 
  • nCr = (n!)/[r!(n-r)!]
  • here we want to deal 5 playing cards to each player.once we deal 5 playing cards to any participant,
  • the playing cards left inside the deck are reduced through five.
  • We deal a total of 25 playing cards, i.e., 5 playing cards to 5 gamers.
  • The number of ways to deal five playing cards to the primary participant is 52C5.The number of approaches to deal 5 playing cards to the second one participant is 47C5.
  • The wide variety of ways to deal 5 cards to the 0.33 player is 42C5.
  • The variety of methods to deal 5 cards to the fourth participant is 37C5.
  • The quantity of ways to deal 5 playing cards to the 5th player is 32C5.
  • the full quantity of methods is the general multiplication.
  • The total number of solutions = 52C5 * 47C5 * 42C5 * 37C5 * 32C5
  • When we simplify, we get (52!)/[(27!)*(5!)^5]. 

To learn more about permutation, visit :

brainly.com/question/1216161

#SPJ4

3 0
1 year ago
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