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borishaifa [10]
2 years ago
9

P, Q and R are points in the same

Mathematics
1 answer:
Anna11 [10]2 years ago
6 0

Answer: 119°

Step-by-step explanation:

From the positive y-axis, all angles are measured clockwise

PR = PQ + QR = 5[150°] + 3[60°]

X = 5*sin150 + 3*sin60 = <u>5.1</u>

Y = 5*Cos150 + 3*Cos60 = <u>-2.83</u>

TanA = X/Y

A = -61° = 61° East of South = 119° Clockwise

Therefore, the bearing of R from P is 119°

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Whats a mathematical phrase containing at least one variable
kirza4 [7]

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Algebraic Expression

Step-by-step explanation:

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This is why it is Algebraic Expression

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Allan is ordering a set of rational numbers that includes positive values, negative values , fractions , and decimal numbers . H
anastassius [24]

Answer:

Allan can order them from least to greatest.

Step-by-step explanation:

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4 years ago
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ou are having a meeting with the CEO of a technology company. You have interpreted the number of laptops produced versus profit
Mama L [17]

Answer:  We can plot the graph with help of below explanation.

Step-by-step explanation:

Since, given equation of polynomial,

P(x) = x^4 - 3x^3 - 8x^2 + 12x + 16

End behavior : Since, the leading coefficient of the polynomial is positive and even.

Therefore, the end behavior of the polynomial is,

f(x)\rightarrow -\infty as x\rightarrow -\infty

And, f(x)\rightarrow +\infty  as  x\rightarrow +\infty

Points of the curve : since, P(4) = 0

Therefore, (x-4) is the multiple of P(x),

And we can write,  x^4 - 3x^3 - 8x^2 + 12x + 16= (x-4)(x^3+x^2-4x-4)

x^4 - 3x^3 - 8x^2 + 12x + 16=(x-4)(x+1)(x^2-4)

x^4 - 3x^3 - 8x^2 + 12x + 16= (x-4)(x+1)(x+2)(x-2)

Thus, the roots of equation are 4, 2, -1 and -2.

Therefore, x-intercepts of the polynomial are (4,0) (2,0) (-1,0) and (-2,0)

Also, the y-intercept of the polynomial is ( 0,16)

Thus, we can plot the graph with help of the above information.




4 0
4 years ago
Solve the system of linear equations by elimination.<br><br> 4x−3y=8<br> 5x−2y=−11
AleksandrR [38]

Answer:

(-7, -12)

Step-by-step explanation:

4x-3y=8

5x-2y=-11

Is there any of the like terms can be added and the result will be 0? No, so we have to multiple one OR both of the equations to make that one number do that.

(I will try to remove the y like terms so i will multiple both of them by the opposite so both of the ys will be 6)

2(4x-3y=8)

-3(5x-2y=-11)

8x-6y=16

-15x+6y=33

(now the easy part… cancel the 6s and add the equations)

8x+(-15x)=-7x

16+33=49

-7x=49

(divide 49 by -7)

x=-7

Replace x in any of the equations and you’ll get the y value.

4x-3y=8

4(-7)-3y=8

-28-3y=8

-3y=36

y=12

Threfore, there is one solution which is….. (-7,-12)

7 0
2 years ago
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