In sailing, it is not possible to head straight into the wind. In order to get upwind, a sailboat simply sails at an angle to the wind and then turns to sail back toward where it wants to go. Assume that a boat needs to get directly upwind 6000 m. If it sails off at a 45 degree angle to the wind and then turns back 90 degrees towards the original goal, how far would it have to sail to get directly upwind 6000 meters? Round to the nearest tenth.

Distance to get directly upwind 6000 meters: ____________________ meters
6000

4242.6

8485.3

10392.3

Answers

Answer 1

Answer:

C. 8485.3 meters

Step-by-step explanation:

Think of the sailboat’s path as a 45-45-90 right triangle.

The hypotenuse is the 6000 meter distance.

In this way the leg will be the hypotenuse divided by √2.

So 6000/√2 or 4242.64 meters.

Remember that the sailboat has to turn and head back toward its goal and travel another 4242.64 meters.

Thus, your answer is 4242.64 x 2 = 8485.28 meters or 8485.3 meters.

Answer 2

In this exercise we have to use the knowledge of triangles to calculate the distance that one of the sides has:

Letter C

Some information given in the statement about the triangle:

Sailboat’s path as a 45-45-90 right triangle.The hypotenuse is the 6000 meter distance.

So performing the calculation we have:

[tex]6000\sqrt{2}=4242.64 \\4242.64 * 2 = 8485.28[/tex]

See more about triangles at brainly.com/question/25813512


Related Questions

In right triangle DEF, ∠E is a right angle, m∠D=26∘, and DF=4.5.
sin26∘≈0.44
cos26∘≈0.90
tan26∘≈0.49

What is the measurement of EF?
If necessary, round your answer to two decimal places, like this: 42.53

Answers

The measurement of EF is EF=5.9

Help please!!!!!! And explain ur answer.. I will mark as BRAINLIEST.​

Answers

Answer:

The total earning of commission on sales of 85, 000 will be:

[tex]3500+1050=4550[/tex]

Step-by-step explanation:

Total sales earning = 85,000

As salesperson earns 5% commission the first 70,000.

[tex]\frac{5}{100}\:\times \:70\:000=3500[/tex]

As the salesperson earns 7% commission on the sales over 70,000.

As 15000 is the sales earning on which he will get commission 7%.

Because

85,000 - 70,000 = 15000

So the 7% earning of salesperson will on 15000 will be:

[tex]\:\frac{7}{100}\:\times \:15\:000=1050[/tex]

Therefore, the total earning of commission on sales of 85, 000 will be:

[tex]3500+1050=4550[/tex]


write an equation to represent the linear relationship in the table

Answers

Answer:

-1/2

Step-by-step explanation:

The table contains data on the number of people visiting a historical landmark over a period of one week. Which type of function best models the relationship between the day and the number of visitors?

A. A quadratic function with a positive value of a
B. A square root function
C. A linear function with a positive slope
D. A quadratic function with a negative value of a

Answers

Hence , it is to be quadratic function where a has to be less than zero.

Given that ,

The table contains data on the number of people visiting a historical landmark over a period of one week.

We have to find,

The relationship between the day and the number of visitors.

According to the question,

[tex]y = a\sqrt{x} + b[/tex]

And where x = no. of days = 1

y = no. of visitors = 45

45 = a [tex]\sqrt{1}[/tex] + b

45 = a + b

And When x = 2 and y = 86

86 = [tex]a\sqrt{2} + b[/tex]

Solving the equation for the values of a and b.

From equation 1

45 - a = b

Put the value of b in equation 2

86 = [tex]a\sqrt{2}[/tex] + 45 - a

86 - 45 = [tex]a \sqrt{2} - a[/tex]

41 = a ([tex]\sqrt{2} - 1[/tex] )

[tex]a = \frac{41}{\sqrt{2} - 1 }\\\\a = \frac{41}{0.41}[/tex]

a = 100

Put the value of a = 100

45 = 100 + b

45 - 100 = b

b = -55

The required equation is y = 100[tex]\sqrt{x}[/tex] -55.

When  x = 4

[tex]y = 100\sqrt{2} - 55\\\\ y = 100 ( 1.4 ) - 55\\\\y = 140 - 55\\\\y = 85[/tex]

And when x = 5

[tex]y = 100\sqrt{5} - 55\\\\y = 223.5 - 55\\\\y = 168.60[/tex]

y = 168 ( approx )

Therefore, 168 ≠ 158

Since the function rises less and less in later stage , it can not be a first order function.

So, it is to be quadratic function where a has to be less than zero.

For more information about quadratic equation click the link given below.https://brainly.com/question/2263981

Choose the value to make the equation true.

70.9 divided by = 7.09
1
10
100
1,000

Answers

Answer:

10

Step-by-step explanation:

I hope this helped!

Answer:

10

Step-by-step explanation:

70.9 ÷ 7.09 = 10

-TheUnknownScientist

Find the distance between (8,3) and (0, -3).
The distance is:

Answers

Answer:

(8,3) = {4,5,6,7}

(0,3) = {1,2}

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Using the distance formula, you would get this answer.

Distance formula:  square root of (2−1)^2 + (2−1)^2

the rectangle below is being enlarged by a scale factor of 3.5. what is the area of the new drawing?

Answers

Answer:

122.5^2

Step-by-step explanation:

3.5 x 2 = 7

3.5 x 5 = 17.5

7 x 17.5 =122.5 ft^2 (a=hl^2)

PLEASE HELP ME (20 POINTS)

Answers

Answer:

Not always.

Step-by-step explanation:

https://brainly.com/question/18051242?referrer=fromSearch

Students had two options for lunch, either a taco salad or a hot dog.

The ratio of taco salads to hot dogs is 3:1.

If a total of 80 lunches were served, how many were hot dogs?

Answers

Answer:

ok, so the answer would be 27 hot dogs and 53 tacos salads

Step-by-step explanation:

Which has a slope of -2?

Answers

Answer:

The answer would be line be because it goes down 2 and forward one.

To anybody who is really good at math can you click on the image and answer the 4 questions please and thanks!

Answers

Answer:

1) Wallmart

2)16 Oz

3)You woluld save 7 cent per pound by choosing the 11 lbs turkey.

4)You would save $2.00 per notebook. You would save $10.00 buy buying 5.

Step-by-step explanation:

You divide the price by size.

Exaple:

3.99/12

please help im being timed
jeremy recived a bill with a balance due of $25.60. after an error was corrected, the new balance due was 1/4 of the original balance due, what is his new balance due

Answers

Answer:

6.40$

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLEIST

$6.40 is the answer hope this helped

help pleaseee and explain!!

Answers

Answer:

D

Step-by-step explanation:

Its an abs value so you have to solve twice. Once for d - 3.5 < or equal to 1.5 which equals 5. You also have to solve for d - 3.5 > or equal to -1.5 which equals 2. So on the graph it has to be less than 5 and greater than 2 so you just connect the two and draw the line over the numbers in between the 2 and 5.

Problem 1:
1. Define the variable:
1. Trini needs more than 51
cubic feet of soil to top up
his raised garden. Each bag
of soil contains 1.5 cubic
feet. Write and solve an
inequality to find how many
bags of soil Trini needs.
2. Write the inequality:
5 times b greater than 51
3.
Solve the inequality
4. Interpret the solution

Answers

Answer:

1) The variable is x

2) [tex]1.5x > 51[/tex] Solving the inequality we get x>34

3) [tex]5b > 51[/tex], solving the inequality we get b>10.2

Step-by-step explanation:

1. Define the variable:

The variable is x

2) Trini needs more than 51  cubic feet of soil to top up  his raised garden. Each bag  of soil contains 1.5 cubic  feet. Write and solve an  inequality to find how many  bags of soil Trini needs.

[tex]1.5x > 51[/tex]

Solving the inequality

[tex]x>\frac{51}{1.5}\\x>34[/tex]

Solving the inequality we get x>34

3) Write the inequality:

5 times b greater than 51

[tex]5b > 51[/tex]

4) Solving the inequality

[tex]5b > 51\\b>\frac{51}{5}\\b>10.2[/tex]

So, solving the inequality we get b>10.2

PLEASE HELP, MARKING BRAINLIEST!!!!

Which congruence statement do the triangles show?

A. SAS
B. AAS
C. ASA
D. SSS
E. HL
F. Not enough information

Answers

Answer:

side angle side SAS because it includes one angle and two sides.

Step-by-step explanation:

not sure but

what are the intercepts for 7x - 5 = 4y -6

Answers

Answer:

The x-intercept is -1/7 and the y-intercept is 1/4

Step-by-step explanation:

Hope this helps!!

Answer:

x-intercept(s): [tex](-\frac{1}{7} ,0)[/tex]

y-intercept(s): [tex](0,\frac{1}{4})[/tex]

Step-by-step explanation:

Molly and Cody are selling pies for a school fundraiser. Customers can buy apple pies and
pumpkin pies. Molly sold 1 apple pie and 13 pumpkin pies for a total of $160. Cody sold 14
apple pies and 7 pumpkin pies for a total of $140. What is the cost each of one apple pie and one
pumpkin pie?

Answers

Answer:

12 dollars and 6

Step-by-step explanation:

12 divided by 160 = 12

The most Julius can afford to pay per year in mortgage payments is $11,500,
and his credit score is currently 463. According to the following table for a
$150,000 mortgage, by how many points would he need to improve his credit
score in order to take a mortgage for $150,000?

Answers

Answer:

212 points

Step-by-step explanation:

He can only afford $11500 per year so divide that by 12, gets you 958 so he’s in the 675-699 range subtract 675- his current credit score to get the number of points he will need.

f(x)=-x^2+x+14
Find f(2)

Answers

The answer is 20

Step-by-step explanation:

-2^2=4

x=2

4+2+14

6+14

20

Using the following uniform density curve, answer the question.



What is the probability that the random variable has a value between 4.1 and 7.4?

0.5375

0.4125

0.2875

0.6625

Answers

Answer:

The answer is "0.4125"

Step-by-step explanation:

[tex]\to 7.4 -4.1= 3.3 (0.125)= 0.4125[/tex]

What is -4.5 = 1.5 - x

Answers

Answer:

x=6

Step-by-step explanation:

Find the area of the trapezoid.
bı = 5, b2 = 7, h = 4
The area is
square units

Answers

Answer:

24 square units

Step-by-step explanation:

Help pwease :( will give brainliest.

Answers

Answer:

a. $7

b. $x

c. $20

d.$5y

e.$x + $5y

Simplify the expression. (−0.75x − 5) − (6.5x + 5.4)

Answers

Answer:

−7.25x−10.4

Step-by-step explanation:

Let's simplify step-by-step.

−0.75x−5−(6.5x+5.4)

Distribute the Negative Sign:

=−0.75x−5+−1(6.5x+5.4)

=−0.75x+−5+−1(6.5x)+(−1)(5.4)

=−0.75x+−5+−6.5x+−5.4

Combine Like Terms:

=−0.75x+−5+−6.5x+−5.4

=(−0.75x+−6.5x)+(−5+−5.4)

=−7.25x+−10.4

Which number on the number line is 4 less than 6?

Answers

Answer:

2

Step-by-step explanation:

6-4=2

Answer:

2

Step-by-step explanation:

2 is the answer

Which angles are alternate interior angles?

Answers

Answer:

kjm and lmj

Step-by-step explanation:

Answer:

A) Angle KJM and Angle LMJ

Step-by-step explanation:

Alternate Interior Angles are Interior Angles lying in the opposite side of the transversal.

As JM is the transversal.

The Interior Angle in pair with Angle KJM is Angle LMJ

Shelby mixes a 25% bleach solution with 5 cups of a 10% bleach solution, resulting in a 20% bleach solution. The table shows the amount of each solution used. A table titled Bleach Solution showing Cups, Bleach concentration, and Total. The first row shows 10 percent Bleach with 5, 0.10, and 0.5. The second row shows, 25 percent bleach, with x, 0.25, and 0.25 x. The third row shows Mixture, with 5 plus x, 0.20, and 3. What is the value of x? 1 3 10 24 Mark this and ret

Answers

Answer: 10

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

The value of a certain car after one year was $13,595. The value of the same car after 3 years was $11,095. Find the slope and explain what it means.

Answers

Answer:

-1250/1 or -1250

This tells us that the car depreciated in value by $1250 every year.

Step-by-step explanation:

11,095-13,595= -2500

This is the value that the car has depreciated over 2 years (from the first year to the third year)

Since we need to find the slope we divide this value by two.

That value would be -1250

Since the value is negative, we know the car has depreciated in value. We also now know that it depreciated in value by $1250 every year

Hope this helps!

The prime factorization of
is 24 x 5

Answers

Answer:

5 x 24 = 120

120 pf= 2 x 2 x 2 x 3 x 5

or the answer is

2^3    x 3 x 5

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

plz help hurry i will mark brainlest!!!!!!!!!!!!

Which expressions are equivalent to 6 Superscript 16? Check all that apply.
(6 Superscript 0 Baseline) Superscript 16
(6 Superscript 8 Baseline) Superscript 8
(6 Superscript negative 4 Baseline) Superscript negative 4
(6 Superscript negative 2 Baseline) Superscript negative 8
(6 Superscript negative 1 Baseline) Superscript 16
(6 Superscript 8 Baseline) squared

Answers

Answer:

3rd, 4th, and 6th options are correct

Step-by-step explanation:

took the test

Answer:

The answer above is correct it is the 3rd, 4th, and 6th options.

_____________________________________

Also how do you add pictures?

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