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Ivanshal [37]
2 years ago
10

In the figure shown, MR = 45 units, and RQ = 15 units. What is the length of PR?

Mathematics
1 answer:
I am Lyosha [343]2 years ago
7 0
I’m not entirely sure as why you would have to use RQ, but you could use the equation:

tan30=(PR)/45

Solving for PR, you can put 45tan30 into the calculator to get approximately 21.981 units.
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What are the questions on 7 and 8?
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3 years ago
Se lanza dos dado, ¿Cuál es la probabilidad de obtener 10 puntos?
LekaFEV [45]
3/36 o 1/12 <span>oportunidad</span>

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3 years ago
Find a polynomial function of least degree having only real coefficients, a leading coefficient of 1, and roots of 2-√6 , 2+ √6
horsena [70]

Answer:

x^{4} -18x^{3}+104x^{2} -172x-100

Step-by-step explanation:

The 3 roots are given out of which 2 are real and 1 is imaginary. For a polynomial of least degree having real coefficients, it must have a complex conjugate root as the 4th root. Therefore, based on 4 roots, the least degree of polynomial will be 4. Finding the polynomial having leading coefficient=1 and solving it based on multiplication of 2 quadratic polynomials, we get:  

\\\\x_{1} = 2-\sqrt{6} \\x_{2} = 2+\sqrt{6} \\x_{3}=7-i \\x_{4}=7+i \\\\P(x)=1(x-x_{1})(x-x_{2} )(x-x_{3} )(x-x_{4} ) \\\\=(x-(2-\sqrt{6}))(  x-(2+\sqrt{6} )) (x-(7-i))( x-(7+i))\\=((x-2)+\sqrt{6})( ( x-2)-\sqrt{6} ) ((x-7)+i)( (x-7)-i)\\=((x-2)^{2} -(\sqrt{6} )^{2} )((x-7)^{2}-(i)^{2})\\=(x^{2} -4x-2)(x^{2} -14x+50)\\=x^{4} -18x^{3}+104x^{2} -172x-100\\

7 0
2 years ago
Sheri's brother gave Sam his collection of stamps when she left for college. At that
pychu [463]

Answer: $70 per year.

Step-by-step explanation:

Let's say that x is the number of years that has passed and y is how much the stamp is worth.

So we know that in zero years the stamp was worth $420 because that is the time Sheri gave her brother Sam the stamp. That could bring up the coordinates  (0,420) .

Now we know that in 8 years it was worth $980 and that could be the coordinates (8,980)

To find the rate of change we need to find the different between the y value and divide it by the difference in the x values.

420 - 980 = -560

 0-8 = -8

-560/-8 = 70

The rate of change is 70 which means that it grew by $70 every year.

6 0
3 years ago
If there are 100 students in a Masters Degree program at OU, and there`s a 5% failure rate, how many students are left after 12
Leviafan [203]
5% fail
so 100-5=95% are left

percent means parts out of 100
95% of 100 is \frac{95}{100} times 100=95

95 students are left assuming that the 5% that fail fail within 12 months
5 0
2 years ago
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