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quester [9]
3 years ago
10

Which of these cannot represent the lengths of the sides of a right triangle?

Mathematics
2 answers:
Sholpan [36]3 years ago
4 0
<h3>Answer: Choice D. 8m, 9m, 10m</h3>

==================================

Explanation:

If a = 8 and b = 9 are the two legs of a triangle and c = 10 is the hypotenuse, then

a^2 + b^2 = c^2

8^2 + 9^2 = 10^2

64 + 81 = 100

145 = 100

We get a false equation as 145 and 100 are two different values. So the original equation is false when (a,b,c) = (8,9,10)

By the converse of the pythagorean theorem, we have proven that this particular triangle is not a right triangle

-------------

Contrast this with something like choice A where we have a = 3, b = 4, c = 5 leading to

a^2 + b^2 = c^2

3^2 + 4^2 = 5^2

9 + 16 = 25

25 = 25

we get a true equation so a triangle with sides 3,4,5 is a right triangle. Choices B and C follow a similar path.

FinnZ [79.3K]3 years ago
4 0
Choice D...............
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If y=20 when x=8, whats the value of x when y=-2
lisabon 2012 [21]

Answer:

x=-4/5

Step-by-step explanation:

8/20=x/-2

simplify 8/20 into 2/5

2/5=x/-2

cross product

5*x=-2*2

5x=-4

x=-4/5

8 0
3 years ago
PLEASE HELP ASAPPP !!! WILL GIVE BRAINLIEST AND 5 STAR RATING
natta225 [31]

Answer:

1/3

Step-by-step explanation:

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1 year ago
2x(6x^2 + 3x - 1)<br><br> Simplify
likoan [24]
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6 0
2 years ago
The bottom of Ignacio's desktop is 74.5cm from the floor. Ignacio's sits in his adjustable chair, and the tops of his legs are 4
dsp73

Answer:

Ignacio can make 5 clockwise rotations.

Step-by-step explanation:

Given that the Ignacio's legs are already at a height of 49.3cm and each rotation of the chair knob raises his legs another 4.8cm, we can set up an inequality to determine the number of rotations Ignacio could make without his legs touching the desk, which is at a height of 74.5cm:

4.8r + 49.3 < 74.5  where 'r' is equal to the number of rotations

The sum of the Ignacio's original leg height plus the amount of height increased from the rotations of the know must be less than 74.5 in order for his legs not to touch.  Now, solve for 'r':

Subtract 49.3 from both sides:  4.8r + 49.3 - 49.3 < 74.5 - 49.3 or 4.8r < 25.2

Divide 4.8 from both sides:  4.8r/4.8 < 25.2/4.8 or  r < 5.25

Since the number of rotations must be less than 5.25, he can make 5 complete rotations.  

6 0
2 years ago
Each side of a square is increasing at a rate of 6 cm/s. At what rate is the area of the square increasing when the area of the
siniylev [52]

<u>Solution:</u> 48cm/s^2

<u>Working:</u>

A = s^2

Derivate s^2 (as it is area formula) which gives

dA/dt = 2s dL/dt

dL/dt = 6cm/s

Hence,

2(6) = 12

Side: 4cm

Hence,

dA/dt = (4)(12) = 48cm/s^2

<em>Feel free to mark this as brainliest :D</em>

7 0
2 years ago
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