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n200080 [17]
3 years ago
9

Please help me with this ASAP

Mathematics
1 answer:
Dmitry [639]3 years ago
4 0

Answer:

34

Step-by-step explanation:

Every triangle = 180 so you add the angles you have 146. You take 180 and you subtract 146 and you get the answer.

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Solve the missing side length
djverab [1.8K]

Answer:

9

Step-by-step explanation:

I think these two triangles are similar so UT is similar with UC and US is similar with BU after that you should do it 12-BU is it enough?

7 0
3 years ago
These roots of the polynomial equation x^4-4x^3-2x^2+12x+9=0 are 3,-1,-1. Explain why the fourth root must be a real number. Fin
Alex787 [66]

Roots with imaginary parts always occur in conjugate pairs. Three of the four roots are known and they are all real, which means the fourth root must also be real.

Because we know 3 and -1 (multiplicity 2) are both roots, the last root r is such that we can write

x^4-4x^3-2x^2+12x+9=(x-3)(x+1)^2(x-r)

There are a few ways we can go about finding r, but the easiest way would be to consider only the constant term in the expansion of the right hand side. We don't have to actually compute the expansion, because we know by properties of multiplication that the constant term will be (-3)(1)(1)(-r)=3r.

Meanwhile, on the left hand side, we see the constant term is supposed to be 9, which means we have

3r=9\implies r=3

so the missing root is 3.

Other things we could have tried that spring to mind:

- three rounds of division, dividing the quartic polynomial by (x-3), then by (x+1) twice, and noting that the remainder upon each division should be 0

- rational root theorem

4 0
3 years ago
Read 2 more answers
A cyclist rides her bike at a rate of 2 meters per second. What is this rate in kilometers per hour? How many kilometers will th
Oksanka [162]

The speed v is 12 m/s.

 

You need to convert the seconds to hours  and meters to kilometers:

 

3600s = 1 hr

 

If you divide 3600 on both sides you will get

 

1 s = (1/3600) hr

 

 

1000m = 1 km

 

If you divide 1000 on both sides you will also get

 

1 m = (1/1000) km

 

 

v = [(12/1000) km] / [(1/3600) hr]

 

v = [(12*3600)/1000] km/hr

 

v = 216/5  km/hr

 

 

The distance in 4 hours is

 

d = [(216/5) km/hr] * 4hr

 

d = 864.50 km

This is why your answer should be 12 m/s

Hope this helps!! - Queenb369

8 0
3 years ago
Please help! Correct Answers only!
pochemuha

Answer:

$12000

Step-by-step explanation:

Using the given formula :

I = P × R × T

I = 40000 × 15/100 × 2

I = $12000

8 0
3 years ago
What is the domain of the function shown in the table?
Basile [38]
The Domain of a function is described as the set of all the x values that a function can take.These are the allowable values of a function.

From the table we can see that the first column shows the x values for the function. So the set of all  values will be the Domain of the function.

Hence the Domain is {-2, -1, 0, 1}

So, option B gives the correct answer
3 0
3 years ago
Read 2 more answers
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