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°

Related Questions

27÷819=
give me the quotient for 27÷819

Answers

Answer:

.032967033

Step-by-step explanation:

Answer:30.33333333 or just 30.3

Step-by-step explanation:

30.33333333333333

Answer Choices
A) 1 chance out of 3
B) 3 chances out of 9
C) 3 chances out of 12
D)9 chances out of 12

Answers

Answer:

C) 3 chances out of 12

Step-by-step explanation:

Total balls: 5 + 3 + 4 = 12

Number of white balls: 3

Answer is 3/12.

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

Learn more about Triangle solved here:

https://brainly.com/question/26489558

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HELP WITH MATHEMATICS ALG 1 PLEASEfwe

Answers

The equation is y=-2x ^ 2 + 4 x + 30 that’s the equation thru the proabola but if you do point slope form then it is y=18x+54 so it depends what your working on in class
Use the lattice method to multiple 54x 9

Carlos used 2 cups of yogurt and 6 tablespoons of granola for every 4 pears. Would it make sense to describe this situation with a part-to-whole ratio? Explain.

Answers

Yes, it would make sense to use a part to whole ratio because you are using different units of measurement. Whole would be cups and part would be tablespoons.
Yes because if you were going to make a massive pot of granola, you can plug the number in the ratio.

Distributed Property

Please simplify 5(-x-4)-4

thanks

Answers

it’ll be -5x - 24

you multiply the 5 by 4 and it’ll be 24, and put the x with the 5 and that’ll be your answer :)

hiiiiiiiiiiiiiiiiiiiiiiii pls hellllppp :/

Answers

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]

63.75/4.25 =15

108.75/7.25 = 15

191.25/12.75= 15

Our answer is $15 an hour

Our answer is $15 an hour, or B.

Is this correct?
:'(

Answers

Answer:

Step-by-step explanation:

There's no pic u might want to repost it again

Answer:

what??????????

...... . . . .

. . .... .... .

What is the y-intercept of the function f(x) = -2/9x + 1/3

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Answer:

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

PLEEEAAASE HURRY!!!!!

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Answer:

I got you its C babes if you need anything else I can help

Answer:

the answer is

[tex]3 \frac{7}{20} [/tex]

Step-by-step explanation:

hope it helps

PLEASE HELP ME I NEED HELP THIS IS DUE BY TODAY AND IF I DONT GET IT DONE MY MOM WILL KILL ME

Answers

Answer: it's just a black screan

Step-by-step explanation:

Answer:

5.8

Step-by-step explanation:

5+8(3+x)=

5+24+5x

29+5x=

5x= Negative 29

divide 29 by 5

Three pounds of bananas cost $7How much does 1 pound of bananas cost?

Answers

Answer:

Step-by-step explanation:

3 pounds:7 dollars

1 pound: 2.33 dollars

divide 3 by 3 to find 1. divide 7 by 3.

7/3=2.333 each pound of bananas will cost $2.33

A 25 foot ladder leans against a house. How far
is the foot of the ladder from base of the building
if the top of the ladder is 20 feet from the ground?
A. 20 ft
B. 15 ft
C. 18 ft
D. 10 ft

Answers

Answer:

x=15

Step-by-step explanation:

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:

hahaha

X – y=11
3x + 10y= -6

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

13x + 0 = 104

13x = 104 ( divide both sides by 13 )

x = 8

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

Substituting into (2)

3(8) + 10y = - 6

24 + 10y = - 6 ( subtract 24 from both sides )

10y = - 30 ( divide both sides by 10 )

y = - 3

solution is (8, - 3 )

7xi + 3(x - 2) - 4x + 8 simplify

Answers

Answer:

Step-by-step explanation:

the answer is 12x - 5

Answer:

7xi-x+2

Step-by-step explanation:

3(y + 8) = 2y - 6, when y = 30​

Answers

Answer:

Statement is not true

Step-by-step explanation:

left side of the equation is 114 and the right side equals 54

Find the missing angle measures
m∠3
m∠4
m∠5
m∠6
Please show work

Answers

Answer:

75

Step-by-step explanation:

x+45+60=180

x+105=180

x=180-105

x=75


Plz help I still have a 33% in my class and I’m trying to do as much imagine math as I can

Answers

Answer:

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

Step-by-step explanation:

(8) Use the information in the diagram to determine the height of the tree. The diagram is not to scale. GEOMETRY

Answers

Answer:

D = 37.5

Step-by-step explanation:

I need help with this problem

Answers

Answer:

6/5

Step-by-step explanation:

slope = 2; 3-intercept=-1

Answers

Answer: Slope = 2; 3-intercept=-1

Step-by-step explanation:

WILL GIVE BRAINLIST PLEASE HURRY​

Answers

Answer:

The smallest angle is the angle shown by 3x - 17 which ends up being 49°.

Step-by-step explanation:

The angles of a triangle add up to 180 degrees. We can write an equation and solve for x.

75 + (2x + 12) + (3x - 17) = 180

~Combine like terms

70 + 5x = 180

~Subtract 70 to both sides

5x = 110

~Divide 5 to both sides

x = 22

Using what we found for x, solve for the missing angles.

2x + 12

2(22) + 12

44 + 12

66

3x - 17

3(22) - 17

66 - 17

49

Best of Luck!

The radius of a circle is 1 centimeter. What is the area of a sector bounded by a 90° arc?

Answers

Answer:

[tex]Area = 0.785cm^2[/tex]

Step-by-step explanation:

Given

[tex]r = 1cm[/tex] -- radius

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

Required

Determine the area of the sector

This is calculated as:

[tex]Area = \frac{\theta}{360} * \pi r^2[/tex]

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

[tex]Area = \frac{90}{360} * \pi * (1)^2[/tex]

Simplify 90/360

[tex]Area = \frac{1}{4} * \pi * (1)^2[/tex]

[tex]Area = \frac{1}{4} \pi[/tex]

Take [tex]\pi[/tex] as 3.14

[tex]Area = \frac{1}{4} * 3.14[/tex]

[tex]Area = 0.785cm^2[/tex]

Help please ill give brainliest

Answers

Answer:

Red line is y=0.8x

Blue line is y=0.8x-3.2

Step-by-step explanation:

The hanger image below represents a balanced equation,
6
21
Find the value of d that makes the equation true.
MY
d=

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

hope this helped! :)

8/10 lies _____ on number line.

Answers

8/10 = 0.8

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

Problem Solving
14. Eight friends divide 3 pizzas
equally. How much pizza does
each friend get?

Answers

So if there are six people and they buy two Pies and you will have to divide 6 and

Answer:

3/8 of a pizza

Tell whether the ordered pair (-4,-2) is a solution of the system of linear equations.

Y= 2x+6
Y= -3x-14

Answers

The ordered pair (-4,-2) is a solution for both of the equations

Please I need help,this is my little brother class

Answers

Answer:

It's down below. :)

Step-by-step explanation:

Actual answer: 247 - 83 = 164

Estimation: 250 - 80 = 170

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