Towns P,Q,R and S are shown. Q is 35 km due East of P S is 15km due West of P R is 15km due South of P Work out the bearing of R from S? Work out the bearing from R to Q?

Answers

Answer 1

Answer:

Part A

The bearing of the point 'R' from 'S' is 225°

Part B

The bearing from R to Q is approximately 293.2°

Step-by-step explanation:

The location of the point 'Q' = 35 km due East of P

The location of the point 'S' = 15 km due West of P

The location of the 'R' = 15 km due south of 'P'

Part A

To work out the distance from 'R' to 'S', we note that the points 'R', 'S', and 'P' form a right triangle, therefore, given that the legs RP and SP are at right angles (point 'S' is due west and point 'R' is due south), we have that the side RS is the hypotenuse side and ∠RPS = 90° and given that [tex]\overline{RP}[/tex] = [tex]\overline{SP}[/tex], the right triangle ΔRPS is an isosceles right triangle

∴ ∠PRS = ∠PSR = 45°

The bearing of the point 'R' from 'S' measured from the north of 'R' = 180° + 45° = 225°

Part B

∠PRQ = arctan(35/15) ≈ 66.8°

Therefore the bearing  from R to Q = 270 + 90 - 66.8 ≈ 293.2°

Towns P,Q,R And S Are Shown. Q Is 35 Km Due East Of P S Is 15km Due West Of P R Is 15km Due South Of

Related Questions

1. Una proposición que necesita ser demostrada y que cuya demostración consta de un conjunto de razonamientos se llama:

A. Axioma. B. Hipótesis. C. Colorario. D. Teorema.



2. Una proposición tan sencilla y evidente por sí misma que se admite sin demostración:

A. Axioma. B. Hipótesis. C. Escolio. D. Teorema.

Answers

Answer:

1. D. Teorema.

2. A. Axioma.

Step-by-step explanation:

En matemáticas, un conjunto de proposiciones que deben estar respaldadas por una prueba adecuada basada en el razonamiento se denomina teorema. Se puede demostrar plenamente que todos los teoremas matemáticos son verdaderos mediante el razonamiento.

Sin embargo, un axión es evidente por sí mismo y no necesita ser probado. Es un hecho ya establecido.

Answer:

1. D. Teorema.

2. A. Axioma.

Step-by-step explanation:

Espero que esto ayude

What do the following two equations represent?

Answers

Answer:

C)

Step-by-step explanation:

How do you know the that two triangles are similar?

Answers

Answer:

Because if two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar

Step-by-step explanation:

Answer: they look similar

Step-by-step explanation: to try to figure it out rotate one triangle to make it look identical :)

Write out the five number summary for each data set.

Answers

I'll do problem 1 to get you started

First sort the values from smallest to largest and you should end up with this set

{1, 6, 7, 11, 13, 16, 18, 21, 22, 23}

The smallest value is 1 and the largest value is 23, so the min and max are 1 and 23 in that order.

We have ten values in this set. The middle-most number is going to be between the 10/2 = 5th slot and the 6th slot. The numbers 13 and 16 are in the fifth and sixth slots respectively. Average those values to get (13+16)/2 = 29/2 = 14.5

The median is 14.5 which is another name for the second quartile (Q2).

Now split the data set into two halves

L = lower half of values smaller than the median

U = upper half of values larger than the median

In this case,

L = {1, 6, 7, 11, 13}

U = {16, 18, 21, 22, 23}

sets L and U have five items each

Find the median of set L and U to get 7 and 21 respectively. These medians of L and U represent the values of Q1 and Q3 in that order.

Q1 = first quartile = 7

Q3 = third quartile = 21

===================================================

Answer:

The five number summary for problem 1 is

Minimum = 1Q1 = 7Q2 = 14.5  (this is the median)Q3 = 21Maximum = 23

A bus departed from New York at 11 pm with 44 passengers. An hour later, a few passengers got off at New Jersey. The number of passengers who boarded the bus at New Jersey were twice the number of passengers who got off the bus. If the bus has 50 passengers now, how many passengers got off at New Jersey?

Answers

Answer:

6 passengers got off at New Jersey

Step-by-step explanation:

let the number of passengers who got off be x and let the number of passengers who boarded the bus be y

y=2x

44 - x + y=50

y=50-44+x

y=6+x

subst y=2x

2x=6+x

2x-x=6

x=6

No file answers or I will report you. Thanks!​

Answers

You need to use SOH-CAH-TOA

Sin x = 19/32

You need to take the sin inverse of 19/32

Sin -1(19/32)

X= 36.42

Answer: M

A polar bear weighs 3 times more than a baby elephant. Both of them together weigh 700 kilograms. How much does the polar bear weigh?

Answers

Answer:

The polar bear weighs 525kg

Step-by-step explanation:

C = Polar Bear

D = Baby Elephant

____________________________

(1)  C + D = 700 kg

(2)  C = 3D

________________________________

C = 700 - D

700 - D = 3D

700 = 4D

________________________________

525 + 175 = 700

Then we get our answer, the polar bear weighs 525kg, and the baby elephant weighs 175kg.

Hope this helps you :)

Help me ASAP I have a 67% I math the girlie needs help

Answers

Answer:

x=28

Step-by-step explanation:

4(x-5)=92

4x-20=92

add 20 to both sides

4x=112

divide 4 on both sides

x=28

Answer:

The value of x is 28

Step-by-step explanation:

4(x - 5) = 92

4x - 20 = 92

4x = 92 + 20

4x = 112

x = 112 ÷ 4

x = 28

Thus, The value of x is 28

-TheUnknownScientist

What is the equation for -8 = p - 13

Answers

Answer: 5 is your answer hope this helped

plz make brainly

Step-by-step explanation:

5 :) hope this helps !!

Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

mm i think it’s:
3 rows
6 columns

need help ASAP plz

Answers

First shape: no parallel nor perpendicular

Second shape: parallel sides

Third shape: parallel sides

Fourth shape: perpendicular sides

Fifth: perpendicular sides

Hope this helps!! Have a nice day!!

help mehhhhhhh pleaseeeeeeeee

Answers

Answer:

1/2

Step-by-step explanation:

Because there are 2 numbrs that are greater than 3.

Hope this helped!

Stay Safe!

hiii can someone help me please it’s really greatly appreciated!!THANK YOUUU

Answers

Answer:

Step-by-step explanation:

so we know that a triangle degrees have to add up to 180 in the inside right? So we know c is 90 and so you need to find A and B. The left over degrees you have is 90 so the sum of B and A would have to be 90, thats all i can help you with sorry.

Calculate the theoretical probability of each of the following events:

You spin a spinner with 3 equal sections labeled blue, red, and purple, and it lands on purple.

Answers

Answer:

There is a 1/3 chance it lands on each section

Step-by-step explanation:

what is the standard deviation of 6, 2, 3, 1

Answers

Answer:

1.870828693387

Step-by-step explanation:

Standard Deviation, σ: 1.870828693387

Count, N:4

Sum, Σx: 12

Mean, μ: 3

Variance, σ2:  3.5

Steps

σ2 = Σ(xi - μ)2

N  =   (6 - 3)2 + ... + (1 - 3)2

4 = 14

4  = 3.5

σ = √3.5

= 1.870828693387

i need help
5times 10 +25-9+2times2

Answers

Answer:

put it on the calculator

Answer:

its 136

Step-by-step explanation:

four more than the product of a number and seven is the product of the number and 10

Answers

Answer:

4/3

Step-by-step explanation:

7x + 4 = 10x

4 = 3x

x = 4/3

If $9x^2 - 16x + k$ is a perfect square trinomial, find $k$.

Answers

The answer to the above statement is: $k$ has a perfect square trinomial value of 16.

To determine the value of $k$ such that $9x^2 - 16x + k$ is a perfect square trinomial, we can follow these steps:

Identify the form of a perfect square trinomial. A perfect square trinomial can be written in the form $(ax + b)^2$, where $a$ and $b$ are constants.

Examine the $9x2 - 16x + k$ trinomial in comparison to the perfect square trinomial form.  We need to match the quadratic term and the linear term.

The quadratic term in the perfect square trinomial is $(ax)^2 = a^2x^2$, which corresponds to $9x^2$ in our trinomial.

The linear term in the perfect square trinomial is $2abx$, which corresponds to $-16x$ in our trinomial.

By comparing the terms, we can set up the following equation: $2abx = -16x$. This implies that $2ab = -16$.

Solve for $a$ and $b$ using the equation $2ab = -16$.

Let's consider possible factor pairs of $-16$: $(1, -16)$, $(2, -8)$, and $(4, -4)$.

We need to find a pair $(a, b)$ such that $2ab = -16$. Checking the options, we find that $(a, b) = (2, -4)$ satisfies the condition since $2(2)(-4) = -16$.

To determine the value of $k$, substitute the values of $a$ and $b$ into the perfect square trinomial form.

The perfect square trinomial form is $(ax + b)^2 = (2x - 4)^2 = 4x^2 - 16x + 16$.

We can see that $k = 16$ by comparing the derived form to the supplied trinomial $9x2 - 16x + k$.

As a result, $k$ has a Perfect Square Trinomial value of 16.

For such more questions on Perfect Square Trinomial

https://brainly.com/question/28947540

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The legs of a right triangle have lengths of 10 cm and 13 cm. What is the length of the
hypotenuse?

A) 3cm
B) √69 cm
C) √269 cm
D) 23 cm

Answers

Answer:

C

Step-by-step explanation:

In how many years the interest of Rs 25000 at 5.5% per year will be Rs3300?
Plzz help!!!​

Answers

Answer:

37.82 year(s)

Step-by-step explanation:

double check tho, i might be using different method or my ans could be wrong since you gave literally no info on your specific task

For a given geometric sequence, the 9th term, a9, is equal to 43/256 and the 14th term, a14, is equal to 172. Find the value of the 18 term

Answers

Answer:

[tex]18th=44032[/tex]

Step-by-step explanation:

From the question we are told that:

9th term [tex]a9=\frac{43}{256}[/tex]

14th term [tex]a14=172[/tex]

Generally the equation for Geometric sequence is mathematically given by

 [tex]a_n=a_1r^{n-1}[/tex]

For 9th term

 [tex]\frac{43}{256}=a_1r^{8}[/tex]

For 14th term

 [tex]172=a_1r^{13} \\a_1=\frac{172}{r^13}[/tex]

Substitute in 9th term

 [tex]\frac{43}{256}=\frac{172}{r^13}*r^{8}[/tex]

 [tex]\frac{43}{256*172}=r^{-5}[/tex]

 [tex]r=^5sqrt{\frac{44032}{43}}[/tex]

 [tex]r=4[/tex]

Therefore First term a is given as

 [tex]a_1=\frac{172}{4^13}[/tex]

 [tex]a_1=2.563*10^{-6}[/tex]

Generally the equation for the 18th term is mathematically given by

 [tex]18th=a_1r^{17}[/tex]

 [tex]18th=2.563*10^{-6}*4^{17}[/tex]

 [tex]18th=44032[/tex]

What is the area of the rectangle

Answers

Answer:

E. 54cm ^2

Step-by-step explanation:

when finding the area just multiply length over width .for example 9 is the length times it to the width 6 you get 54 so the area will be 54 cm

Answer:

E

Step-by-step explanation:

length times width

6 x 9 = 54

10 POINTS JUST ONE QUESTION I WILL FIGE BRAINLIEST IF CORRECT!!! Please help

16. Solve for x.

Answers

Answer:

[tex]x=17[/tex]

Step-by-step explanation:

[tex](x+7)^{2} =18(18+14)[/tex]

[tex](x+7)^{2} =18(32)[/tex]

[tex](x+7)^{2} =576[/tex]

[tex]x+7=\sqrt{576} =24[/tex]

[tex]x=24-7=17[/tex]

[tex]---------[/tex]

hope it helps...

have a great day!!

Can someone help, please

easy math equation!


4. Write an equation of the line with slope 2/3 that goes through the point (-2,5).

Answers

y

5
=

2
(
x

2
)
and
y
=

2
x
+9

will give brainiest!
The Pythagorean Identity states that:
(sin x)2 + (cOS X)2 = 1
Given cos 0 = 6/10, find sin 0.
sin 0 = [ ? ] / [ ? ]
Simplify the fraction.

Answers

Answer:

[tex] \frac{4}{5} [/tex]

Step-by-step explanation:

[tex] ( \cos \theta) ^{2} + ( \sin \theta) ^{2} = 1 \\ \\ \therefore \: { \bigg( \frac{{6} }{10} \bigg)}^{2} + ( \sin \theta) ^{2} = 1 \\ \\ \frac{36}{100} + ( \sin \theta) ^{2} = 1 \\ \\ ( \sin \theta) ^{2} = 1 - \frac{36}{100} \\ \\ ( \sin \theta) ^{2} = \frac{100 - 36}{100} \\ \\ ( \sin \theta) ^{2} = \frac{64}{100} \\ \\ \sin \theta = \sqrt{\frac{64}{100} } \\ \\ \sin \theta = \frac{8}{10} \\ \\ \sin \theta = \frac{4}{5} [/tex]

The kids are racing around a circle on the playground with a radius of 12 feet. If they ran around it 5 times, how far did they run round to the nearest foot?

Answers

Answer:

377 feet

Step-by-step explanation:

Find the circumference on the circle, using the formula C = 2[tex]\pi[/tex]r

Plug in 12 as r, the radius, then solve:

C = 2[tex]\pi[/tex]r

C = 2[tex]\pi[/tex](12)

C = 24[tex]\pi[/tex]

Multiply this by 5, since the kids ran around it 5 times:

24[tex]\pi[/tex](5)

= 120[tex]\pi[/tex]

To the nearest foot, this is 377.

So, the kids ran round 377 feet

Giving brainlist to whoever answers

Answers

Answer:

C.

Step-by-step explanation:

Joe tried to prove that the sum of a triangle's interior angle measures is 180°

Answers

Answer: Angles ∠4 and∠2 are not alternate interior angles and neither are ∠1 and ∠5

Step-by-step explanation: Khan Academy

Joe made the mistake by guessing Angles ∠4 and∠2 are not alternate interior angles and neither are ∠1 and ∠5.

The correct option is (b).

What is Parallel line?

The fundamental characteristics listed below make it simple to recognise parallel lines.

Straight lines that are always the same distance apart from one another are called parallel lines.No matter how far apart they are from one another, parallel lines can never intersect.

Given:

WE have to  prove that the sum of a triangle's interior angle measures is 180°

According to the figure <1 and <4 are the alternate interior angle and <2 and <5 are  alternate interior angle.

So, Joe made the mistake by guessing Angles ∠4 and∠2  and ∠1 and ∠5 are alternate interior angles.

Learn more about parallel lines here:

https://brainly.com/question/16701300

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plss help me answer this ​

Answers

Answer:

c≈5.2

Step-by-step explanation:

c=a2+b2=1.412+52≈5.19501

NEED HELP ASAP!!
What is the value of the system determinant for the following system of equations?

5x + y = 4

3x + y - 7 = 0


A. -2
B. 2
C. 23
D. -37

Answers

Answer:

I think it is 23 I am not sure

Step-by-step explanation:

Yeah I think it’s 23
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