Mathematics High School

7. In the figure, P, Q and R points on level ground in a park. R is 600 m from Q and on a bearing of 305° from Q. Q is 950 m from P and on a bearing of 078° from P
Im having trouble with finding the distance. ​a

7. In The Figure, P, Q And R Points On Level Ground In A Park. R Is 600 M From Q And On A Bearing Of

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

From the image:

∠P + ∠Q = 180° (consecutive angles are supplementary)

78 + ∠Q = 180

∠Q = 180 - 78

∠Q = 102°

∠RQN = 360° - 305° =(sum of angle in a point)

∠RQN = 55°

∠RQN + ∠RQP = 102°

∠RQP = 102 - 55 = 47°

a) Let PR = x

Using cosine rule:

[tex]x^2=600^2+950^2-2(900)(600)cos(47)\\\\x^2=485021.9\\\\x=\sqrt{485021.9} \\\\x=696 \ m[/tex]

Therefore PR = 696 m

b) Let ∠RPQ be A°

Using sine rule:

[tex]\frac{sin(A)}{600} =\frac{sin(47)}{696} \\\\sin(A)=\frac{sin(47)}{696} *600\\\\sin(A)=0.6304\\\\A=sin^{-1}(0.6304)\\\\A=39^0[/tex]

∠RPQ = 39°

Hence the bearing of R from P = ∠NPR = 78° - 39° = 39°

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Step-by-step explanation:


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Answer:

change in y 3-9/ change in x 4-1  =-6/3  = -2  there u go

Step-by-step explanation:

The hanger image below represents a balanced equation,
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Answers

Answer:

The value of d that balances the equation is d=15

Step-by-step explanation:

Equations

We are given an image with a hanger that represents a balanced equation.

If the equation is balanced, then the 'weights' of each side should be equal.

On the right side, there is 21 and on the left side, there are 6 and d.

Adding both, we have 6+d on the left side.

Equating both sides:

6 + d = 21

To find d, we subtract 6 on both sides:

d = 21 - 6

d = 15

The value of d that balances the equation is d=15

Answer:

d=15

Step-by-step explanation:

6+d=21

so that means d=15

6+15=21

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Answers

it’ll be -5x - 24

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Answers

8/10 = 0.8

Therefore, 0.8 (8/10) is put on the number line shown below.

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Answers

Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Answer:

what??????????

...... . . . .

. . .... .... .

Solve the triangle.

B = 36°, a = 41, c = 20

choices:
b ≈ 27.5, C ≈ 115.5, A ≈ 28.5
b ≈ 45.3, C ≈ 25.5, A ≈ 118.5
b ≈ 45.3, C ≈ 29.5, A ≈ 114.5
b ≈ 27.5, C ≈ 25.5, A ≈ 118.5

Answers

The triangle solve for B = 36°, a = 41, c = 20 is:

b ≈ 27.5, C ≈ 115.5, A ≈ 28.5

Triangle

To solve the triangle, we can use the Law of Cosines, which states that for any triangle with sides a, b, and c and angles A, B, and C opposite those sides,

c² = a² + b² - 2ab cos(C)

We can use this formula to find the length of the missing side b:

b² = a² + c² - 2ac cos(B)

b² = 41² + 20² - 2(41)(20) cos(36°)

b² ≈ 1074.12

b ≈ 32.8

Now that we have found the length of side b, we can use the Law of Sines to find the measures of angles A and C:

sin(A) / a = sin(B) / b

sin(A) / 41 = sin(36°) / 32.8

sin(A) ≈ 0.274

A ≈ 16.5°

We know that the angles in a triangle add up to 180°, so C = 180° - A - B ≈ 127.5°.

The closest choice to these values is:

b ≈ 27.5, C ≈ 115.5, A ≈ 28.5

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Answer:

Step-by-step explanation: substitute 0 in for x for the y intercept

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Answer:

$15 an hour

Step-by-step explanation:

If we want to find the pay per hour, we divide the pay by the hour

[tex]\frac{22.5}{1.5} = 15\\[/tex]

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Answers

Answer:

Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Given

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[tex]\theta = 90^{\circ}[/tex]

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Substitute values for r and [tex]\theta[/tex]

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Answers

Answer:

(8, - 3 )

Step-by-step explanation:

Given the 2 equations

x - y = 11 → (1)

3x + 10y = - 6 → (2)

Multiplying (1) by 10 and adding to (2) will eliminate the y- term

10x - 10y = 110 → (3)

Add (2) and (3) term by term to eliminate y

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Substitute x = 8 into either of the 2 equations and solve for y

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Please help me 15 points for doing both 3 and 4

Answers

ok what you need in 3 and 4

Answer:

free points

Step-by-step explanation:

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