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aliina [53]
3 years ago
15

Your friend has built the skate board ramp shown in the figure with sides of 16 in., 63 in., and 65 in. that he claims has dispr

oved the Pythagorean Theorem. What do you think?
Mathematics
1 answer:
nexus9112 [7]3 years ago
5 0
The friend is wrong - According to the Pythagorean Theorm, if c is the hypotenuse and a and b are opposite sides then  c^{2} = a^{2}  +  b^{2} 
if c=65 inches, a=16 inches and b = 63 inches, then
 65^{2} =16 ^{2} +  63^{2}
right hand side of the equation = 256 + 3969 = 4225
left hand side of the equation = 65^{2}= 4225
So we see, left hand side = right hand side
Hence the theorm is proved.




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These aren't solvable.
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Cathy has a nickel, a dime, and a quarter in her purse. She randomly picks a coin, replaces it, and then picks another coin. The
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You could 3•2 because your it two times =6 than it’s 2\6 make more smaller 1/3 it will be. Than you get .3333 repeating

6 0
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Justify why a / b x b / c x c /d x d / e is equal to a /e when B C D and E are not zero
Maru [420]

a/b * b/c * c/d * d/e is equal to a/e provided that b, c, d, and e are not zero

 

PROVE

 a/b * b/c * c/d * d/e

= (a/b *b/c) * (c/d * d/e)

= ab/bc * (c/d * d/e)

= a/c * (c/d * d/e)

= a/c * (cd/de)

= a/c * c/e

= ac/ce

= a/e

 

Therefore, a/b * b/c * c/d * d/e is equal to a/e provided that b, c, d, and e are not zero

7 0
3 years ago
Write the vector u as a sum of two orthogonal vectors, one of which is the vector projection of u onto v
blagie [28]
U = ( -8 , -8)
v = (-1 , 2 )
<span>the magnitude of vector projection of u onto v =
</span><span>dot product of u and v over the magnitude of v = (u . v )/ ll v ll
</span>
<span>ll v ll = √(-1² + 2²) = √5
</span>
u . v = ( -8 , -8) . ( -1 , 2) = -8*-1+2*-8 = -8 
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</span>
<span>                          = [-8/√5] * (-1,2)/√5 = ( 8/5 , -16/5 )
</span>
The other orthogonal component = u - ( 8/5 , -16/5 )
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</span>
So, u <span>as a sum of two orthogonal vectors will be
</span>
u = ( 8/5 , -16/5 ) + <span>(-48/5 , -24/5 )</span>










3 0
3 years ago
Read 2 more answers
12. A drawer contains 2 red socks, 6 white socks,
777dan777 [17]

Answer:

Probability that first sock is blue is 0.33 and Probability that second sock is red is 0.16

Step-by-step explanation:

Number of red socks = 2

Number of white socks = 6

Number of blue socks = 4

Total socks in drawer = 2+6+4 = 12

The formula used to calculate probability is: Probability=\frac{Number \ of \ favourable \ outcomes}{Total \ number \ of  \ outcomes}

We are given you draw out a  sock, return it, and draw out a second sock.

We need to find the probability that the first sock is blue and the  second sock is red?

Using formula:

Probability that first sock is blue = 4/12 = 1/3 = 0.33

Probability that second sock is red = 2/12 = 1/6 = 0.16

So, Probability that first sock is blue is 0.33 and Probability that second sock is red is 0.16

3 0
2 years ago
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