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3 years ago

I need help with both questions on the screen. if you can only answer one thats fine too!

Mathematics

1 answer:

meriva3 years ago

7 0

Answer:

11. $b = 30$

Step-by-step explanation:

$a^{2} + b^{2} = c^{2}$

Substitute

$16^{2} + b^{2} = 34^{2}$

$256 + b^2 = 1156$

$b^2 = 1156-256\\b^2 = 900$

$b = \sqrt{900}$

$b = 30$

Your welcome and don't forget to say Thanks

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Classify the system as independent, dependent, or inconsistent.

Anastasy [175]

1. 4x + 8y = 12....divide by 4
x + 2y = 3
2y = -x + 3
y = -1/2x + 3/2...slope is -1/2, y int is 3/2

x + 2y = -3
2y = -x - 3
y = -1/2x - 3/2...slope is -1/2 and y int is -3/2

when the slopes are the same, and the y int are different, then the lines are parallel and never intersect...so they have no solution and are inconsistent
=================
2. y = 2x - 1...slope is 2 and y int is -1
y = -2x + 5 ...slope is -2 and y int is 5
when the slopes are different and the y int are different, then there is 1 solution making it independent
=================
3. 4x - 12y = 8...divide by 4
x - 3y = 2
same as other equation meaning the equations are the same line...meaning they have infinite solutions making them dependent

7 0

3 years ago

HELP ME PLEASE (im doin other stuff for other classes and my mom keeps bothering me to finish this so help)

Lady_Fox [76]

Answer:

x=12

Step-by-step explanation:

each CD is 12$

7 0

2 years ago

Solve the given triangles by finding the missing angle and other side lengths.

coldgirl [10]

Answer:

a ≈ 27.65; B = 28°; c ≈ 19.17
a ≈ 163.30; B = 120°; c ≈ 59.77
A = 13°; b ≈ 0.3874; c ≈ 1.3737

Step-by-step explanation:

As long as you're seeking outside help, the use of a suitable tool is appropriate. Many graphing calculators, apps, and web sites are available for solving triangles.

Here, you're given two angles and a side. The third angle is the difference from 180° of the sum of the other two. For example, in the first problem, ...

B = 180° -A -C = 28°

The missing sides are found using the law of sines. Since you are given a side, use that as the reference, and its opposite angle as the reference angle. Then you have ...

side = sin(opposite angle)×((reference side)/sin(reference angle))

Note that the factor in italics remains the same for both remaining sides.

In the first problem, this becomes ...

a = sin(112°)·14/sin(28°) ≈ 27.65

c = sin(40°)·14/sin(28°) ≈ 19.17

The remaining problems are worked in similar fashion.

_____

Comment on triangle solutions

These are straightforward because you're given two angles. If you're given two sides and an angle, the solution method varies depending on which angle you're given (opposite the long side, the short side, or the unknown side). In the last case, the law of cosines is involved. In the second case, there are likely two solutions. Once you have two angles, you can proceed as above.