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slavikrds [6]
3 years ago
10

Find the value of x.

Mathematics
1 answer:
professor190 [17]3 years ago
5 0

Answer:

x=50.2

Step-by-step explanation:

cosx=adjacent /hypotenuse

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Factor both quadratic expressions. (x 4 + 5x 2 - 36)(2x 2 + 9x - 5) = 0
Sonbull [250]

So focusing on x^4 + 5x^2 - 36, we will be completing the square. Firstly, what two terms have a product of -36x^4 and a sum of 5x^2? That would be 9x^2 and -4x^2. Replace 5x^2 with 9x^2 - 4x^2: x^4+9x^2-4x^2-36

Next, factor x^4 + 9x^2 and -4x^2 - 36 separately. Make sure that they have the same quantity inside of the parentheses: x^2(x^2+9)-4(x^2+9)

Now you can rewrite this as (x^2-4)(x^2+9) , however this is not completely factored. With (x^2 - 4), we are using the difference of squares, which is a^2-b^2=(a+b)(a-b) . Applying that here, we have (x+2)(x-2)(x^2+9) . x^4 + 5x^2 - 36 is completely factored.

Next, focusing now on 2x^2 + 9x - 5, we will also be completing the square. What two terms have a product of -10x^2 and a sum of 9x? That would be 10x and -x. Replace 9x with 10x - x: 2x^2+10x-x-5

Next, factor 2x^2 + 10x and -x - 5 separately. Make sure that they have the same quantity on the inside: 2x(x+5)-1(x+5)

Now you can rewrite the equation as (2x-1)(x+5) . 2x^2 + 9x - 5 is completely factored.

<h3><u>Putting it all together, your factored expression is (x+2)(x-2)(x^2+9)(2x-1)(x+5)=0</u></h3>
5 0
3 years ago
Haley and her family went on a vacation. To get to the beach, they drove for 3 hours
-Dominant- [34]

Answer:

it took longer to get to the beach

Step-by-step explanation:

they drove to the beach for 3 hours and 25 minutes and it took 55 minutes less to get home

5 0
3 years ago
Read 2 more answers
A variable that is both (1) mutually exclusive, (2) exhaustive, (3) has a rank order AND (4) has equal distance between categori
kodGreya [7K]

Answer:

<em>Interval variables</em>

Step-by-step explanation:

<em>An interval variable which is also refereed to as ordinal variable with the additional property that t has differences in magnitudes of the between two  meaningful values</em>

<em>An example of an interval variable is ,when a temperature of 90 degrees and 100 degrees is the same difference as between 90 degrees and 80 degrees.</em>

<em>Interval variables are also said to be mutually exclusive , exhaustive and also having a rank or ranking order.</em>

6 0
3 years ago
The angle measurements in the diagram are represented by the following expressions.
Rina8888 [55]

Answer:

since those 2 lines are parrelel that means the angles are the same so

8x+6=4x+38

minus 6

8x=4x+32

minus 4x

4x=32

divide by 4

x=8

Hope This Helps!!!

7 0
2 years ago
Read 2 more answers
Mike is going to have to wait for 5
kiruha [24]

Answer:

12%

Step-by-step explanation:

if you divide 5 from 1 hour which is 60 min you get 12 and convert that to percent and you get 12%

7 0
3 years ago
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