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Sergio [31]
3 years ago
11

For the triangle above, find sin B. a. 25° c. 0.923 b. 0.385 d. 18°

Mathematics
1 answer:
Nady [450]3 years ago
5 0

Answer:

c

Step-by-step explanation:

correct on edge 2021

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If the measure of angle 3 is equal to (2x + 6) and x = 7, which statements are true?
ehidna [41]

Answer:The measure of angle 6 is 20. The measure of angle 5 is 70. Angles 2 and 5 are complementary. Angles 1 and 4 are supplementary.

Step-by-step explanation:

4 0
3 years ago
Find a particular solution to the nonhomogeneous differential equation y'' + 4 y = cos(2x) + sin(2x).
alukav5142 [94]
The characteristic solution follows from solving the characteristic equation,

r^2+4=0\implies r=\pm2i

so that

y_c=C_1\cos2x+C_2\sin2x

A guess for the particular solution may be a\cos2x+b\sin2x, but this is already contained within the characteristic solution. We require a set of linearly independent solutions, so we can look to

y_p=ax\cos2x+bx\sin2x

which has second derivative

{y_p}''=(-4ax+4b)\cos2x+(-4bx-4a)\sin2x

Substituting into the ODE, you have

y''+4y=\cos2x+\sin2x
\implies4b\cos2x-4a\sin2x=\cos2x+\sin2x
\implies\begin{cases}4b=1\\-4a=1\end{cases}\implies a=-\dfrac14,b=\dfrac14

Therefore the particular solution is

y_p=-\dfrac14x\cos2x+\dfrac14x\sin2x

Note that you could have made a more precise guess of

y_p=(a_1x+a_0)\cos2x+(b_1x+b_0)\sin2x

but, of course, any solution of the form a_0\cos2x+b_0\sin2x is already accounted for within y_c.
6 0
3 years ago
write a compound inequality that represents the situation. all real numbers that are greater than –6 but less than 6 a. –6 ≤ x &
natali 33 [55]
<span>All real numbers that are greater than –6 but less than 6 is written as -6 < x < 6</span>
4 0
3 years ago
Find the x value X+5=11
Vitek1552 [10]

Answer:

x=6

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Bryan and his son, and Elton and his son all went fishing. Bryan caught as many fish as his son and Elton caught three times as
Annette [7]

Answer:

The answer is explained below

Step-by-step explanation:

This is a word problem, therefore to solve it the statement have to be writing in form of an equation and then solved.

Let the number of fishes caught by Bryan's son be x fishes. Since Bryan caught as many fish as his son, Bryan caught x fishes

Let the number of fishes caught by Elton's son be y fishes. Since Elton caught three times as many fish as his son, Bryan caught 3y fishes

All together, they caught 25 fish

Therefore it can be represented by the equation:

x + x + y + 3y = 25

2x + 4y = 25

2x = 25 - 4y

x = (25 - 4y)/2

The number of fish caught by Bryan is half of the difference between the total fish caught and four times the number of fish caught by Elton son

6 0
3 years ago
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