6. Brandon and Charlotte Snifflesworth are visiting three of Americas top tourist attractions. The Snifflesworths

live close to Disney World in Orlando, Florida. They decided to start their trip at Disney World before traveling to

San Francisco, California to see the Golden Gate Bridge and then to Minneapolis, Minnesota to go shopping at the

Mall of America. The bearing from Disney to the Golden Gate Bridge is North 65° West. The bearing from the

Golden Gate Bridge to the Mall of America is North 80° East. The bearing from Disney to the Mall of America is

North 30° West and the distance traveled is 1,320 miles. Find all missing interior angles and distances created from

their triangular trip to America's top tourist attractions. Also find the bearing from the Mall of America to

Disneyland.

Answers

Answer 1

Answer:

The distance from Disney to the Golden Gate Bridge is 2,162.56 miles

The distance from Mall of America to The Golden Gate Bridge  is 1,320 miles

The interior angle at The Golden Gate Bridge is 35°

The interior angle at Mall of America is 110°

The interior angle at Disney is 35°

The direction from Mall of America to Disney is South 30° East

Step-by-step explanation:

The bearing from Disney to the Golden Gate Bridge = North 65° West

The bearing from the Golden Gate Bridge to the Mall of America = North 80° East

The bearing from Disney to the Mall of America = North 30° West

The distance from Disney to the Mall of America = 1,320 miles

Let 'A', 'B', and 'C' represent the interior angles at Disney, The Golden Gate bridge and Mall of America respectively

From the drawing of the triangular trip, we find that the interior angle at C = The sum angles complementary to the bearings at B and at C

Therefore, the interior angle at C = (90° - 65°) + (90° - 80°) = 35°

The interior angle at B = The bearing of C from B - The bearing of A from B

∴ The interior angle at B = 65° - 30° = 35°

B = 35°

∠C = 35° and ∠B = 35°, therefore, the triangle is an isosceles triangle

The interior angle at A = 180° - (∠B + ∠A) = 180° - (35° + 35°) =110°

CA = AB = 1.320

By sine rule, a = sin(110) × 1320/sin(35) ≈ 2,162.56  miles

a = CB = 2,162.56 miles

Therefore, we have;

The distance from Disney to the Golden Gate Bridge = 2,162.56 miles

The distance from Mall of America to The Golden Gate Bridge  = 1,320 miles

The interior angle at The Golden Gate Bridge = 35°

The interior angle at Mall of America = 110°

The interior angle at Disney = 35°

The magnitude of the bearing of Mall of America to Disney = The magnitude of the alternate angle to the bearing of Disney to Mall of America = 30°

∴ The direction from Mall of America to Disney = South 30° East

6. Brandon And Charlotte Snifflesworth Are Visiting Three Of Americas Top Tourist Attractions. The Snifflesworthslive

Related Questions

which point on the number line represents --3/4​

Answers

Answer:

D

Step-by-step explanation:

Because it is 3 tics closer to 1. which would be 3/4 of 1  


Find the area of the shape shown below.

Answers

Answer:

55 units²

Step-by-step explanation:

square = 25

triangle = 30

both = 55

Find the area of the figure round to the nearest tenth

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Answer:

180 m

Step-by-step explanation:

What is the surface area of the rectangular pyramid

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Answer:

88.8 cm square

Step-by-step explanation:

PLEASE HELP ASAP PLEASE​

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Answer:

-5.5

Step-by-step explanation:

-10, -9, -8, -8, -6, -5, -1, 1, 7, 6

Kenneth started saving for retirement at age 40 with plans to retire at age 70. He invested an average of $400 per month in various securities, with an average annual return of 7% adjusted for inflation. Assuming monthly compounding, how much has Kenneth saved at the start of retirement.
A. $487,988.40

B. $720,421.84

C. $37,784.31

D. $556,559.8​

Answers

Answer:

487,988.40

Step-by-step explanation:

I took the test

George scored 70, 92, 70, 90, and 95 on five physics tests. The mean, median, and mode of his scores are given below. Mean = 83.4 median = 90 mode = 70 Which value best describes George's scores? Explain.

Answers

Answer:

mean; the average of George's scores is the mean = 83.4

Step-by-step explanation:

The value that best describes George's scores is the mean that has a value of 83.4.

What is the mean?

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number. The mean makes use of all the data in the data set.

Mean = sum of the numbers / total number

(70+  92 + 70 + 90 +  95) / 5 = 83.4.

To learn more about mean, please check: https://brainly.com/question/25842202

Find the value of x.

Answers

Answer:

16

Step-by-step explanation:

2x8

Audria rode her bicycle for 2 hours. She drove a total of 21 miles. At this rate, how many miles will she bike in 1/2 hours?

A. 6 1/2
B. 6 3/4
C. 5 3/4
D. 5 1/4

Answers

Answer:

D

Step-by-step explanation:

21/2 = 10.5

10.5 x .5 = 5.25 = 5 1/4

The answer is D.

Lorenzo reads at a rate of 45 words per minute. If he reads at a constant rate, how many words can he read in 6 minutes?

Answers

Answer:

270

Step-by-step explanation:

45 * 6 = 270

Find the measure of the angle indicated

Answers

72⁰

HOPE IT HELPS YOU THANK YOU ☺

Answer:

37 degree

Step-by-step explanation:

RQS is suspened by arcRS

RQS=1/2(RS)

RQS=1/2(74)

RQS=37

If a farmer sells 9.8 KL of apples and pears at the farmers market. 4/5 of this weight is apples,and the rest are pears. How many kl of pears did they sell the farmers market

Answers

Answer:

1.96

Step-by-step explanation:

A farmer sells 9.8 kl of apples and pears

4/5 of this weight is apples, while the rest are pears

Therefore the wight of pears can be calculated as follows

Let x represent the weight of pears

9.8= 4/5×9.8 + x

9.8= 0.8×9.8+x

9.8= 7.84+x

9.8-7.84= x

x= 1.96

Kimberly wants to enlarge hut 5‘ x 10‘ rectangular patio by multiplying its dimensions by two how old the area of the patio be affected

Answers

Answer:

1/4 the new area

Step-by-step explanation:

Kimberly wants to enlarge hut 5‘ x 10‘ rectangular patio by multiplying its dimensions by two how old the area of the patio be affected

Given that:

Initial dimension of patio = 5' by 10'

Initial area of patio = Area of rectangle = Length * width

Area of patio = 5 * 10 = 50 in²

If dimension is multiplied by 2

New dimension :

5* 2 by 10*2 = 10' by 20'

New area of patio :

10 * 20 = 200 in²

50 /200 = 1/4

The old area will be 1/4 the size of the new area of the patio

HELP ILL GIVE U THE BRAINLIEST

Answers

Answer:

(0, 3 )

Step-by-step explanation:

To find the y- intercept , substitute x = 0 into f(x), that is

f(0) = 3 × [tex]4^{0}[/tex] [ note [tex]4^{0}[/tex] = 1 ]

      = 3 × 1

      = 3

y- intercept = (0, 3 )

The correct answers is (0,3)

When the product of 6 and the square of a number is increased by 5 times the number, the result is 4. Select all of the values that the number could be.

Answers

Answer:

(1/2,0) is one solution

(-4/3,0) is the other solution.

Step-by-step explanation:

i hope this helps you it might not be right

HLEP PLEASE PUT THEM IN THE CORRECT ORDER TRUE OR FALSE

Answers

Answer:

1. False

2. True

3. True

Step-by-step explanation:

A line that includes the point (2,7) has a slope of

8. What is its equation in point-slope form?
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.

Answers

Answer:

y - 7 = -8(x-2)

Step-by-step explanation:

The point slope form is: y-y1=m(x-x1)

From the information that was given, we know our two points: (2,7)

From here, we can fill in some of the missing information: y-y1=m(x-x1) → y - 7 = m(x-2)

Now I can't tell if you wrote down -8 or just 8, but just in case my answer isn't the right number.

The answer would either be: y - 7 = -8(x-2)    [if you wrote down -8 as the slope]

OR

The answer would be: y - 7 = 8(x-2)    [if you wrote down 8 as the slope]

Solve for angle B, then side a. Round to the nearest tenth.

Answers

Answer:

Angle B: 28 degrees

Side a: 27.6

Step-by-step explanation:

Angle B:

180-112-40=28

Side a:

sin 28/14 = sin 112/a

a = sin 112(14)/sin 28

a = 27.6

Point B has coordinates ​(4,1). The​ x-coordinate of point A is -4. The distance between point A and point B is 10 units. What are the possible coordinates of point​ A?

Answers

Given:

Point B has coordinates ​(4,1).

The​ x-coordinate of point A is -4.

The distance between point A and point B is 10 units.

To find:

The possible coordinates of point​ A.

Solution:

Let the y-coordinate of point A be y. Then the two points are A(-4,y) and B(4,1).

Distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The distance between point A and point B is 10 units.

[tex]\sqrt{(4-(-4))^2+(1-y)^2}=10[/tex]

Taking square on both sides, we get

[tex](8)^2+(1-y)^2=100[/tex]

[tex](1-y)^2=100-64[/tex]

[tex](1-y)^2=36[/tex]

Taking square root on both sides, we get

[tex](1-y)=\pm \sqrt{36}[/tex]

[tex]-y=\pm 6-1[/tex]

[tex]y=1\mp 6[/tex]

[tex]y=1-6[/tex] and [tex]y=1+6[/tex]

[tex]y=-5[/tex] and [tex]y=7[/tex]

Therefore, the possible coordinates of point​ A are either (-4,-5) or (-4,7).

what is the answer please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The mean of the following set of fractions is D. 22/75

Answer:

22/75

Step-by-step explanation:

To find the average add up the values and divide the sum by the number of values.

Rewriting all values as fractions, rewriting any negatives if necessary and, setting up as an addition problem

=1/2+1/5+1/5+1/10+7/15

The least common denominator (LCD) is: 30.

Rewriting as equivalent fractions with the LCD:

=15/30+6/30+6/30+3/30+14/30

Rewriting numerators over the common denominator,

=15+6+6+3+1430

Totaling the numerator:

=44/30

Reducing the fraction:

=22/15

Dividing by the number of values: 5

22/15÷5=22/15×15=22/75

Average of the fractions is:

Average=22/75

How much water will a cone hold that has a diameter of 6 inches and height of 21 inches. Use 3.15 pie and round your answer to the nearest whole number

Answers

Answer:

volume = 595 in³

Step-by-step explanation:

radius = 6/2 = 3

volume = 3.15(3²)(21) = 595.35 in³

Use the distance formula to find the distance between each pair of points. round to the nearest tenth of neccessary.

Answers

Answer:

1). 4.2    2). 7.65    3). 14.14

Step-by-step explanation:

1). √(y2 - y1)² + (x2 - x1)²

√[-1 - (-4)]² + [-3 - (-6)]²

√(3)² + (3)²

√9 + 9

√18

= 4.2

2). √(2.5 - 1)² + ( -4 - 3.5)²

√(1.5)² + (-7.5)²

√(2.25) + (56.25)

√58.5

= 7.65

3).√(5 - (-5)² + (-5-5)²

√(10)² + (-10)²

√(100) + (100)

√200

= 14.14

Find the volume of the cylinder.
Either enter an exact answer in terms of T or use 3.14 for T.
8

Answers

Answer: V= 100.48 m^3 or in terms of Pi V = 32 π m^3

Step-by-step explanation:

V = πr^2h

V = π(2)^2(8)

V = π(4)(8)

V = 100.48

or

V = π (4)(8)

V = 32 π m^3

For a school fundraiser, Percy bought a big box of rubber ducks and wrote prize amounts, in dollars, on the bottom of each rubber duck. The prize amounts were $5, $10, $20, $50, and $100. The number of ducks with each prize amount varied so that the total value for all the ducks with each prize amount was always $500.

Percy then put all the rubber ducks in his school’s swimming pool. At the fundraiser, participants used a long net to catch a duck from the pool. They won the amount written on the bottom of the rubber duck, and then they threw the duck back into the pool before the next person’s turn. Since the ducks were returned to the pool after they were caught, the chances of winning any particular amount remained the same.

Amir paid $15 to play the game once. If we assume he randomly selected a du

Answers

Answer:

i dont know

Step-by-step explanation:

A number x is rounded to 1 decimal place and its 3.7
write down the error interval for x

Answers

The error is 3.65/3.74

The error interval for x would be (3.65, 3.75), indicating that the true value of x lies within this range.

Given that a number x is rounded to 1 decimal place and its 3.7.

We need to find the error of the interval for x,

To determine the error interval for the rounded number 3.7, we need to consider the possible range of values that could have been rounded to 3.7 when rounded to 1 decimal place.

When rounding to 1 decimal place, we look at the digit immediately to the right of the decimal point. If this digit is 5 or greater, we round up. If it is less than 5, we round down.

In this case, 3.7 is the rounded value, which means the original number could have been rounded up from a value greater than or equal to 3.65 or rounded down from a value less than 3.75.

Therefore, the error interval for x would be (3.65, 3.75).

Learn more about error interval click;

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PLZ HELPPP MEEEE
Combine the radicals

Answers

Answer:

C) [tex]17\sqrt{13}[/tex]

Step-by-step explanation:

[tex]-2\sqrt{13} +19\sqrt{13} \\\\17\sqrt{13}[/tex]

Chirs bought 10.4 gallons of gasoline. There are approximately 3.8 liters in 1 gallon. Which measurement is closest to the number of liters of gasoline Chirs bought?

Answers

Answer:

39.52

Step-by-step explanation:

just multiply 3.8 by 104 and thats how many liters

He determined that the value of 6 in 76,345 is 100 times the value of 6 in 34,675. Part A: Is Lucas right? Part B: Explain why Lucas is right or wrong.

Answers

Answer:

Lucas is not right.

Step-by-step explanation:

To find: whether the value of 6 in 76,345 is equal to 100 times the value of 6 in 34,675

Solution:

Value of 6 in 76,345 = 6,000

Value of 6 in 34,675 = 600

Now 6000 = 10 × 600

So,

Value of 6 in 76,345 is equal to 10 times the value of 6 in 34,675.

Therefore, Lucas is not right.

Answer:

Part A: Lucas is wrong.

Part B: The value of 6 in 76,345 is 6,000 and  the value of 6 in 34,675 is 600.

Part C: The value of 6 in 76,345 is equal to 10 times the value of 6 in 34,675.

10 × 600 = 6,000

Step-by-step explanation:

I put this on each of my answers and I got all three parts correct. Hope this helps you!!!!

Please mark my answer as the Brainiest!!!!!

Thank You!!!!!!!!

Please give me the answer please

Answers

Answer:360

Step-by-step explanation:

Answer:

area =

[tex] \frac{1}{2} \times (10 + 6) \times 6 [/tex]

=

[tex]3 \times 16[/tex]

=

[tex]48 \: ft {}^{2} [/tex]

Could you guys help me please?​

Answers

Answer:

1: 115

2: 65

3: 115

4: 65

5: 143

6: 37

7: 28

8: 152

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