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fiasKO [112]
3 years ago
11

Which expression represents a factorization of 32 56 m mp + ?

Mathematics
1 answer:
Scilla [17]3 years ago
8 0
32m+56mp
=8m(4+7p)
32m+56mp
4m(8m+14p) there is still a common factor of 2
=2x4m(4+7p)
=8m(4+7p)
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Compare and contrast an event with a probability of 0 and event with a probability of 1
Troyanec [42]

Answer:

A probability of 0 means it is unable to happen while a probibility of 1 is guranteed to happen.

6 0
4 years ago
Use appropriate identities to rewrite the wave equation shown below in the form ℎ(x) = a cos (x − c).
yarga [219]

Answer:

h(x) = 10 cos(x-36.870)

Step-by-step explanation:

Note: For this problem we use the calculator on degrees

For this case we need to remember this identity :

Cos (a-b) = cos a cos b + sin a sin b

For this case if we apply for our desired formula we got this:

a cos (x-c) = a [cos (c) cos (x) + sin (c) sin (x)]

And we want this equal to h(x) = 6 sin (x) + 8 cos (x) so we can set up the following equality:

6 sin (x) + 8 cos (x)= a cos (c) [cos (x)] + a sin (c) [sin(x)]   (1)

If we apply direct comparison between the factors on equation (1) we see this:

a cos(c) = 8    (2)

a sin (c) = 6    (3)

If we solve a from equation (2) we got:

a = \frac{8}{cos (c)}   (4)

If we replace equation (4) into equation (3) we got:

\frac{8}{sin(c)} cos (c) = 8 tan (c) = 6

tan(c) = \frac{6}{8}=\frac{3}{4}

If we apply inverse tangent on both sides we got:

c = tan^{-1} (3/4) = 36.870

So then the value of c= 36.870 degrees. And since w ehave the value of c we can find the value for a and we got:

[tex] a = \frac{8}{cos (36.870)}=10

And then our expression in the form h(x) = a cos (x-c) is:

h(x) = 10 cos(x-36.870)

And we can check that:

h(x)= 10 cos (36.870) [cos (x)] + 10 sin (36.870) [sin(x)]= 8 cos (x) + 6 sin (x)

8 0
3 years ago
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The answer is B : -5/2
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Which trigonometric function has the same value as sin 75°?
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Answer:

see explanation

Step-by-step explanation:

using the cofunction identity

sin x = cos(90 - x), hence

sin75° = cos(90 - 75)° = cos15°


8 0
3 years ago
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A sheet of bad paper is cut into 12 equal parts. What percent of the whole is 3 parts?
11Alexandr11 [23.1K]
25%

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3 0
3 years ago
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