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RoseWind [281]
3 years ago
15

Consider the equation

Mathematics
1 answer:
worty [1.4K]3 years ago
6 0

Answer:

Step-by-step explanation:

5/3v + 4 + 1/3v= 8.

Multiply each term by 3v

3v(5/3v) + 3v(4) + 3v(1/3v) = 3v(8)

5 + 12v + 1 = 24v

Collecting like terms

12v - 24v = -5 - 1

- 12v = -6

v = -6/-12

v = 1/2

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HELP Use either law of sines or law of cosine. Need help on this problem! show work please!​
Marina86 [1]

Answer: x = 15.035677095729 approximately

Round this however you need to.

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

Explanation:

I'm assuming you want to find the value of x, which your diagram is showing to be the length of segment QR.

If so, then we'll need to find the measure of angle Q first. Using the law of sines, we get the following:

sin(Q)/q = sin(R)/r

sin(Q)/PR = sin(R)/PQ

sin(Q)/13 = sin(85)/19

sin(Q) = 13*sin(85)/19

sin(Q) = 0.6816068987

Q = arcsin(0.6816068987) ... or ... Q = 180-arcsin(0.6816068987)

Q = 42.9693397461 ... or ... Q = 137.0306602539

These values are approximate.

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

Now if Q = 42.9693397461 approximately, then angle P is

P = 180-Q-R

P = 180-42.9693397461-85

P = 52.0306602539

Similarly, if Q = 137.0306602539 approximately, then,

P = 180-Q-R

P = 180-137.0306602539-85

P = -42.0306602539

A negative angle is not possible, so we'll ignore Q = 137.0306602539

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

The only possible value of angle P is approximately P = 52.0306602539

Let's apply the law of sines again to find side p, aka segment QR

sin(P)/p = sin(R)/r

sin(P)/QR = sin(R)/PQ

sin(52.0306602539)/x = sin(85)/19

19*sin(52.0306602539) = x*sin(85)

19*sin(52.0306602539)/sin(85) = x

x = 15.035677095729

This value is approximate.

Round this value however you need to.

4 0
3 years ago
Read 2 more answers
(5x4 + 5x3 + 4x - 9) + (2x4 + 7x2 + 2x + 14)
ladessa [460]

Answer:

7x⁴ + 5x³ + 7x² + 6x + 5

Step-by-step explanation:

The given expression is

(5x4 + 5x3 + 4x - 9) + (2x4 + 7x2 + 2x + 14)

The first step is to open the brackets by multiplying each term inside each bracket by the term outside each bracket. Since the term outside each bracket is 1, the expression becomes

5x⁴ + 5x³ + 4x - 9 + 2x⁴ + 7x² + 2x + 14

We would collect like terms by combining each term with the same exponent or raised to the same power. The term would be arranged in decreasing order of the exponents. It becomes

5x⁴ + 2x⁴ + 5x³ + 7x² + 4x + 2x - 9 + 14

7x⁴ + 5x³ + 7x² + 6x + 5

7 0
3 years ago
Don't get this question
solniwko [45]

Answer:

17 and 18

Step-by-step explanation:

Writing every 2 digit number gives us :

10-99 including 10 and 99

For the first one we are looking for numbers where the number 3 appears only once so 33 would be invalid.

13,23,30,31,32,34,35,36,37,38,39,43,53,63,73,83,93

There are 17 2-digit numbers that have 3 exactly once

For the second one we are looking for number where the number 3 appears a minimum of once so 33 would be valid :

13,23,30,31,32,33,34,35,36,37,38,39,43,53,63,73,83,93

There are 18 2-digit numbers that have 3 at least once

Hope this helped and have a good day

5 0
2 years ago
What is the domain of the function shown in the graph below?
Maksim231197 [3]

Answer:

Domain: (+∞, -∞)

Step-by-step explanation:

Domain = x value

hope it helps

6 0
3 years ago
Choose the scatter plot that shows a negative correlation.
Alenkinab [10]

Negative correlation between two variables means when x is increasing but y is decreasing or vice versa.

First graph of suffered animals and children shows a positive slope which means if age of child increasing then numbers of suffered animal is also increasing.So, the first graph show a positive correclation.

Second graph of survey of adults doesn't represnt any distinct relationship as the data scattered randomly everywhere in the graph. So, it's showsa very week correlation.

Third graph of speed and MPG shows a negative slope as speed is increasing then MPG is decreasing. So, the third graph (speed and MPG) shows a negative correlation.

4 0
3 years ago
Read 2 more answers
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