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2 years ago

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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Circles M and K are congruent, arc QR is congruent to arc LN and arc OP is congruent to arc VW. Find x.

SCORPION-xisa [38]

Given, arc QR is congruent to arc LN and arc OP is congruent to arc VW.

And the expressions for each arc in the diagram also given as:

Arc QR = 2x - y, arc LN = 11 , arc OP= 10 and arc VW=5x+y.

Hence, we will get the system of equations as following:

Arc QR = Arc LN

2x - y = 11 ...(1)

Arc OP = Arc VW

5x + y = 10 ...(2)

We need to find the value of x. So, we can add the equations to eliminate y so that we can solve the equations for x. Therefore,

2x+5x = 11 + 10

7x = 21

$\frac{7x}{7} =\frac{21}{7}$ Divide each sides by 7.

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4 years ago

allen has a debt of 500$.He owes equal amounts to 10 different people. Express his debt to one person as a negative number.

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3 years ago

Find the general solution of x'1 = 3x1 - x2 + et, x'2 = x1.

Ann [662]

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and so

$ae^t-3ae^t+ae^t=-ae^t=e^t\implies a=-1$

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$x_2=C_1e^{(3+\sqrt5)/2\,t}+C_2e^{-(3+\sqrt5)/2\,t}-e^t$

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Step-by-step explanation:

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Dvinal [7]

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