The rangers at two park stations spot a signal flare at the same time. Based on the measurements shown in the diagram, what is the distance between park station 1 and the point where the flare was set off? Round to the nearest tenth. ​

The Rangers At Two Park Stations Spot A Signal Flare At The Same Time. Based On The Measurements Shown

Answers

Answer 1

The distance between park station 1 and the point where the flare was set off is 73.9 km.

What is distance?

Distance is the length between two points expressed in meters or kilometers.

To calculate the distance between park station 1 and the point where the flare was set off can be calculated using Sine Rule

Formula:

a/sinA = b/sinB....................... Equation 1

Where:

a = Distance between park station 1 and the point where the flare was set off.

Make a the subject of the equation

a = bsinA/sinB............ Equation 2

From the diagram,

Given:

A = 59°B = (180-59-75) = 46°b = 6.2 km

Substitute these values into equation 2

a = 6.2(sin59°)/(sin46°)a = 73.9 km

Hence, the distance between park station 1 and the point where the flare was set off is 73.9 km.

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Related Questions

Isabella bought a CD player at the store. She will receive the bill at the end of the month. She plans to pay $30 each month until the bill is paid in full. How did Isabella pay for the CD player? cash check credit card debit card.

Answers

The method that was used by Isabella to pay for the CD players is a credit card.

What is a credit card?

A credit card is a line of credit that is extended by a bank to the holder of the credit card. The bank extends credit to the credit cardholder based on the holder's credit worthiness.

The holder of the credit card is expected to make payments on debts owed at the end of every month until all the debt has been repaid.

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Answer:

Isabella bought a CD player at the store. She will receive the bill at the end of the month. She plans to pay $30 each month until the bill is paid in full. How did Isabella pay for the CD player?

❌ A) cash

❌ B) check

✔️ C) credit card

❌ D) debit card

I Took Question Test Have Nice Day.

The perimeter of ΔABC is 13 cm. It was dilated to create ΔA'B'C'.

What is the perimeter of ΔA'B'C'?
1. 13 cm
2. 26 cm
3. 39 cm
4. 52 cm

Answers

Perimeter of ΔA'B'C' is 52 cm.

The perimeter of ΔABC is =13 cm

Length of OB = 5 cm

Length of OB' = 15 + 5 = 20 cm

The Dilation factor can be found out b

ΔOCB and ΔOC'B' are similar as BC|| B'C'

From triangles ΔOCB & ΔOC'B' the dilation factor can be found out

by the formula below

[tex]\frac{BC}{B'C'} =\frac{5}{20}[/tex]

B'C'= 4BC

so the dilation factor = 4

hence the new perimeter of the triangle = 13  4 = 52 cm

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Answer:D

Step-by-step explanation:

PLEASE HELP ILL GIVE 53 POINTS

Answers

A: Yes
B: Yes
C: No (but, if the angles are 90°, then yes. Though in general no)

Help please it's algebra will give brainliest

Answers

Y=3x-2
Slope is rise over run so it’s 3/1
Which is just 3

So y=3x and for the y intercept it meet the y axis at -2

So it is y=3x-2

HELP PLEASE ILL GIVE BRAINLEST

Answers

Answer:

12 different rectangles.

Step-by-step explanation:

I just divided 24 and got 12

Find the value of a circle with the radius 4 ft use 3.14 for π and do not round

Answers

Answer:

Step-by-step explanation:

For a one-week period, three bus routes were observed. The results are shown in the table below.

On-Time Delayed Total
Bus Route A 28 7 35
Bus Route B 37 8 45
Bus Route C 24 6 30
Total 89 21 110
A bus is selected randomly. Which event has the highest probability?

A.
The bus is from route B and is delayed.
B.
The bus is from route A and is on time.
C.
The bus is from route C and is on time.
D.
The bus is from route C and is delayed.

Answers

Using it's concept, the event that has the highest probability is given as follows:

B. The bus is from route A and is on time.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

We have that out of the 110 buses, 8 are delayed from route B, hence:

P(A) = 8/110.

28 are on time from route A, hence:

P(B) = 28/110.

24 are on time from route C, hence:

P(C) = 24/110.

6 are delayed from route C, hence:
P(D) = 6/110.

Hence option B gives the highest probability.

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Answer:

B.  The bus is from route A and is on time.

Step-by-step explanation:

[tex]\large \begin{array}{| c | c | c | c |}\cline{1-4} & \sf On-Time & \sf Delayed & \sf Total\\\cline{1-4} \sf Bus\:Route\:A & 28 & 7 & 35\\\cline{1-4} \sf Bus\:Route\:B & 37 & 8 & 45\\\cline{1-4} \sf Bus\:Route\:C & 24 & 6 & 30\\\cline{1-4} \sf Total & 89 & 21 & 110\\\cline{1-4}\end{array}[/tex]

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

Therefore:

[tex]\textsf{P(Route B and delayed)}=\dfrac{8}{110}[/tex]

[tex]\textsf{P(Route A and on time)}=\dfrac{28}{110}[/tex]

[tex]\textsf{P(Route C and on time)}=\dfrac{24}{110}[/tex]

[tex]\textsf{P(Route C and delayed)}=\dfrac{6}{110}[/tex]

So the event that has the highest probability is:

B.  The bus is from route A and is on time.

If a subtended arc has a measure of ______, then the

A. 40 B. 70 C. 110 D. 60

inscribed angle must have a measure of ______.

A. 210 B. 220 C. 20 D. 140

Answers

Answer: A, C

Step-by-step explanation:

The measure of an incsribed angle is half the measure of the arc it subtends.



Differentiate each of the following expressions with respect
to x
(a) (x^2+ 1)(x - 3)^4

Answers

Answer: (A(x2+1)x-3)^=134

Step-by-step explanation: what me  my brother did was just look it up

How many solutions are there for the system of equations shown on the graph? ​

Answers

Answer:

What Graph?

Step-by-step explanation:

Answer:

you have to put the image of the graph

√3x2+2x-√3
how can we solve ​

Answers

Answer:

[tex]x = \sqrt{3 \frac{ - 1}{3} } [/tex]

what is the surface area of the triangular prism shown

Answers

Check the picture below.

[tex]\stackrel{\textit{\LARGE Areas}}{\stackrel{two~triangles}{2\left[\cfrac{1}{2}(15)(8) \right]}~~ + ~~\stackrel{rectangle}{(25)(15)}~~ + ~~\stackrel{rectangle}{(25)(17)}~~ + ~~\stackrel{rectangle}{(25)(8)}} \\\\\\ 120~~ + ~~375~~ + ~~425~~ + ~~200\implies 1120~yd^2[/tex]

Amanda deposits $500 into a savings account
arning simple interest at an annual rate of 8%. tori deposits $1,000 into a
vings account earning simple interest at an annual rate of 2.5%. neithe
i makes any additional deposits or withdrawals. which girl's account
i reach a balance of $1,500 first? justify your answer.

Answers

[tex]~~~~~~ \stackrel{\textit{\LARGE Amanda}}{\textit{Simple Interest Earned Amount}} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$1500\\ P=\textit{original amount deposited}\dotfill & \$500\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ t=years \end{cases} \\\\\\ 1500=500[1+(0.08)(t)]\implies \cfrac{1500}{500}=1+0.08t\implies 3= 1 + 0.08t \\\\\\ 2 = 0.08t\implies \cfrac{2}{0.08}=t\implies \boxed{25=t} \\\\[-0.35em] ~\dotfill[/tex]

[tex]~~~~~~ \stackrel{\textit{\LARGE Tori}}{\textit{Simple Interest Earned Amount}} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$1500\\ P=\textit{original amount deposited}\dotfill & \$1000\\ r=rate\to 2.5\%\to \frac{2.5}{100}\dotfill &0.025\\ t=years \end{cases}[/tex]

[tex]1500=1000[1+(0.025)(t)]\implies \cfrac{1500}{1000}=1+0.025t\implies \cfrac{3}{2}=1 + 0.025t \\\\\\ \cfrac{3}{2}-1= 0.025t\implies \cfrac{1}{2}=0.025t\implies \cfrac{ ~~ \frac{1}{2} ~~ }{0.025}=t\implies \boxed{20=t}[/tex]

well, clearly Tori is Da Bomb!.

Each figure below is part of a capital letter in the English alphabet. To find the whole
letter, combine the figure with its image for the appropriate rotation or reflection. What letter corresponds to each figure? What transformation produces each letter?

Answers

The letters in full are given as L, C C, C C, L, L, A, L, L, O, and M. They are identified by either reflecting them or rotating them. See below which of the elements gives the result for each.

First, what is a rotation in mathematics?

Rotation in mathematics is defined as the act of turning an element by one or more degrees about one fixed axis or central point such that the object faces different directions each time.

What is a reflection in mathematics?

According to the rules of geometry, a reflection occurs when an object is flipped into its mirror image. See the attached as an example.

Both reflections and rotation are known as transformation.

What transformation produces each letter?

The transformation of the 1st letter is reflection.The conversion of the 2nd letter is reflection.Rotation is the transformation of the 3rd letter.Rotation is the 4th letter's transformation.Reflection is the 5th letter's transformation.The change of the 6th letter is reflection.Rotation is the transformation of the 7th letter.The transformation of the eighth letter is reflection.The transformation of the 9th letter is reflection.Rotation is the 10th letter's transformation.The transformation of the 11thletter is reflection.The transformation of the 12th letter is reflection.

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What are the square numbers between 73 and 186

Answers

Answer:

8^2 64 =8 X 8

9^2 81 =9 X 9

10^2 100 =10 X 10

11^2 121 =11 X 11

12^2 144 =12 X 12

13^2 169 =13 X 13

Hope it helps :))

A copy machine makes 28 copier per minute how many copies does it make in 4 minutes and 15 seconds

Answers

Answer:

check photo for detailed analysis

Answer:

119 copies

Step-by-step explanation:

Given that,

→ 1 minute = 28 copies

Copies made in 4 minutes & 15 seconds,

→ 28 × (4 + 15/60)

→ 28 × (4 + 1/4)

→ 28 × (16+1)/4

→ 28 × 17/4

→ 476/4

→ [ 119 copies ]

Hence, the machine made 119 copies.

Scott Wishes To Make a line plot of the heights in inches for a basketbll Team. The heights Are listed Below. use the drop-down menus To Make the statements below True. 74 79 78 79 82 73 82 84 80 84 74 76 69 78 81 (Part A) The least value in the data set is (Blank), And the greatest value in the data set is (blank). (Part B) in a frequency table of this data. the data Values with the greatest frequency are (Blank)

Answers

Answer:

a) Least (V):69  Greatest (V):84

b) 74 78 79 82 84 are equally the higher frequency so we go with the lower value (V): 74 which is also the mode and modal.

Step-by-step explanation:

Thomas wants to double the volume of his original box. what could be the new dimensions of the box? recorded in length, width, height.






14 x 8 x 4 inches


16 x 10 x 4 inches


14 x 10 x 2 inches


28 x 10 x 2 inches

Answers

The possible dimension of the new box is 16 x 10 x 4 inches

The complete question

Thomas buys a box that is 8 by 10 by 4 inches. Thomas wants to double the volume of his original box. what could be the new dimensions of the box? recorded in length, width, height.

How to determine the possible dimensions?

The dimension of the box is given as:

Dimension: 8 by 10 by 4

So, the volume of the box is:

Volume = 8 * 10 * 4

When the volume is doubled, we have:

Volume = 2 * 8 * 10 * 4

Evaluate the product

Volume = 16 * 10 * 4

This means that the possible dimension of the new box is 16 x 10 x 4 inches

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If 3 pens cost 6 dollars how much is each pen?




Please help I need this asap

Answers

Answer: $2

Step-by-step explanation:

please solve the given problem

Usr the law of,,,,,, , solve my math problem I will tell you about problems in comment ​

Answers

Answer:

1. 51511511151111 / 100000000000000

2.  56727776837787/ 10000000000000

Step-by-step explanation:

1. All you have to do for this problem is write over 10000000000000

[tex]51511511151111 / 100000000000000[/tex]

2. Write it overpower of 10

[tex]56727776837787/ 10000000000000[/tex]

3. You need to give me in order to solve

How many 1/4-inch segments are in a length of 31/2 inches?

Answers

Answer:

depends?

Step-by-step explanation:

(31/2)/(1/4) or (3 1/2)/(1/4) aka (7/2)/(1/4)?

I'll give 20 points just please tell me the right answer. What is the correct set up to solve for x

Answers

Answer:

tan 19 = x/25

Step-by-step explanation:

x = tan 19 ✖️ 25

x = 0.3443 ✖️ 25

x = 8.6075

x = 8.61 (2 decimal places)

.
6) The function of f(x) = x2 – 3 is given.
Find f(-2)

Answers

Answer: 4

Step-by-step explanation:

The given function :

The average rate of change in a function g(x) from x=a to x=b is given by :-

Then, the average rate of change of the given function from x = 1 to x = 3 will be :-

x = 1 to x = 3 is 4

Consider the diagram below.
Find the value of x
Enter each line of work as an equation.

Answers

5x-16=45x=4+165x=20x=20/5x=4

Answer:

x = 4

Step-by-step explanation:

We know that,

A parallelogram is a quadrilateral whose opposite sides are parallel.

Then the value of x will be,

→ 5x - 16 = 4

→ 5x = 4 + 16

→ 5x = 20

→ x = 20/5

→ [ x = 4 ]

Verification of the value of x,

→ 5x - 16 = 4

→ 5(4) - 16 = 4

→ 20 - 16 = 4

→ 4 = 4

→ [ LHS = RHS ]

Hence, the value of x is 4.

Raul plans to run 30 miles this week. He wants to run the same number of miles each day of the week. He says he will run 7/30 mile each day. Is he correct? Explain

Answers

No, because if he runs 7/30 mile each day he will run 210 miles each week because he is running 30 miles every day so he has to run 7/4.28 miles each day of the week to get 30 miles each week.

Help! What is the remainder when 4x^3+8x-32 is divided by x+10

Enter your answer as an integer, like this: 42

Answers

Answer: -4112

Step-by-step explanation:

Hey can someone please help me with this question. Im having a hard time with them.

Answers

Answer:

B

Step-by-step explanation:

A baby boom would cause a sudden increase of the population.

2. Before the war, Kim Il-Sung informed the Soviet Union and China of his plan to invade

Answers

Before the beginning of the Korean War, Kim II-Sung had established his plans to invade South Korea and shared them with Soviet Union and China.

Why did Kim II-Sung invade South Korea?

To be able to spread communist ideologies across the neighboring countries, Kim II-Sung planned to invade South Korea for the same.

Soviet Union and China also joined hands, as they were also focused on wide-spreading the communal ideologies throughout the world.

Hence, it may be stated that the invasion of South Korea took place for spreading communism.

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Answer:

All answers.

1. Kim Il-Sung was the leader of

✔ North Korea.

2. Before the war, Kim Il-Sung informed the Soviet Union and China of his plan to invade

✔ South Korea.

3. The South Korean government was led by President

✔ Syngman Rhee.

4. South Korea’s leadership arrested and killed thousands of

✔ alleged North Korean agents.

Step-by-step explanation:

100%

Find the measures of angles Q and S. Number 7!

Answers

Check the picture below.

The numbers 2 , 3 , 5 and x have an average equal to 4. What is x?

Answers

X is equal to 6.

Explanation:

This is a mean question. When identifying mean, you all all of the values up and divide by how many values are present. 2 + 3 + 5 = 10. 10 + x (which is 6) = 16. When you divide 16 by 4 (because 2, 3, 5, and x make 4 present values), you get 4 as the average. Therefore, your answer is x = 6.
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