The Flying Dutchman, located in St. Martin, is the steepest zipline in the world. While sailing downhill at 56 miles per hour, you lose 1,050 feet of elevation across 2,800 feet of cable. If you are at the top getting strapped in, what is the angle of depression between you and a safe landing at the bottom? (Drawing a diagram may help.)

Answer:

A

Step-by-step explanation:

Answer:

6 ounces

Step-by-step explanation:

First cup = 4 ounces of coffee + 4 ounces of milk

= 8 ounces drink

Second cup = 6 ounces of coffee + 2 ounces of milk

= 8 ounces drink

She poured 2 ounces from the first cup and 4 ounces from the second cup into the third cup.

Third cup = 2 ounces from the first cup + 4 ounces from the second cup

= 2 + 4

= 6 ounces drink

Ounces of coffee are in the third cup = 6 ounces

Step-by-step explanation:

tan3 = 200/x

x = 200/tan3

The question is incomplete. The right question is:

A ranger spots a fire while on a 200-foot observation tower. The angle of depression from the tower to the fire is 3°. To the nearest tenth of a foot, how far away is the fire from the base of the tower?​

The distance between the fire and the base of the tower is 3816.2 feet.

Heights and Distances is a trigonometric application-based concept, where we try to form a right-angled triangle of the given conditions, take the angles of elevation and depression and try to find the unknowns.

We are given that a ranger spots a fire while on a 200-foot observation tower. The angle of depression from the tower to the fire is 3°.

We are asked to find the distance between the fire and the base of the tower.

We let the 200-foot observation tower be AB. Let the point of fire be C. Join BC and AC to complete the right-angled triangle ABC, with ∠B = 90°. The ranger from the top of the tower has a 3° angle of depression to the fire. We draw the horizontal line of sight AD. Now the angle of depression can be shown by the ∠DAC = 3°.

We let the distance between the fire and the foot of the tower be x foot.

∠BCA = ∠DAC = 3° (alternate angles).

Also, ∠BAC = 180° - 90° - 3° = 87° (using angle sum property of triangles)

In ΔABC,

tan ∠BAC = BC/AB (tan θ = perpendicular/base)

or, tan 87° = x/200

or, x = 200*tan87° = 200*19.0811 = 3816.22 = 3816.2 (rounding to nearest tenth).

∴ The distance between the fire and the base of the tower is 3816.2 feet.

Learn more about Heights and Distances at

https://brainly.com/question/14361606

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Given:

Consider the expression is:

[tex]48+12[/tex]

To find:

The expression that is equivalent to the given expression.

Solution:

We have,

[tex]48\div 12[/tex]

It can be written as:

[tex]48\div 12=12\times 4+12\times 1[/tex]

Taking out the GCF, we get

[tex]48\div 12=12(4+1)[/tex]

Therefore, the correct option is B.

Answer:

b. 12 (4+1)

Step-by-step explanation:

hope this helps you {ribbit}

~tsu-chan :p

Answer:

78

Step-by-step explanation:

x = your age

400 - 2x = 244

subtract 400 from both sides of the equation:

-2x = -156

divide both sides by -2:

x = 78

Answer: 78

Step-by-step explanation:

x = your age

400 - 2x = 244

subtract 400 from both sides of the equation:

-2x = -156

divide both sides by -2:

x = 78

Answer:

5

Step-by-step explanation:

You have to do 6×9 first and since that is a two digit number (gives 54), you have to bring the 5 up to the top in the place of y and add that to the product of the next two numbers you multiply.

Answer:

the numbers aren't clear can you enlarge the screenshot?

Step-by-step explanation:

Answer:

Slope = [tex]- \frac{3}{4}[/tex]

Step-by-step explanation:

1. Choose 2 points from the graph

(0,-1) and (4,-4)

2.) Use this formula: [tex]\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex]

3.) (-4) - (-1) = -3

(4) - (0) = 4

-3/4

Answer:

y<6

Step-by-step explanation:

1 /3 y +  1/4  >  3 /8y

1 /3 y +  1/4  −  3/ 8 y > 3/ 8 y −  3/ 8 y

− 1 /24 y +  1 4  > 0

−1 /24 y +  1 /4  −  1/ 4  > 0 −  1 /4

−1 /24 y >  −1/ 4

Multiply both sides by 24/(-1).

y<6

Please mark as brainliest

Have a great day, be safe and healthy  

Thank u  

XD

Answer:

x= -3

Step-by-step explanation:

-7x +15 - 15 = 36 - 15

-7x = 21

-7x ÷ -7 = 21 ÷ -7

x= -3

Answer:

Um.....

-3

Sorry if calculated wrong..

Answer:

28 i think [⩾▾⩽]

Step-by-step explanation:

since this is a right angle, all you have to do is subtract 62 from 90 because a right angle is equal to 90 degrees.

hope this helps^^

have a great day :D

Answer:

a. 281.25 grams

b. The 500 represent the original amount of aspirin.

c. 3/4 tells us what amount of the aspirin remains after every hour.

d's answer is in the picture. Just copy the line.

Step-by-step explanation:

A is the only part that needs any explanation.

Since the t represent hours, I'll subsititute t for 2.

500 * (3/4)²

3/4 squared is 9/16.

500 * 9/16

Multiply 500 by 9 to get 4500.

4500/16

Simplify 4500/16 to 1125/4 (4 is canceled out.)

1125/4

Divide 1125 by 4 to get 281.25

281.25

281.25 grams of aspirin will be in the patient body after two hours.

Answer: The closest one would be 3052.1

Step-by-step explanation:

Answer:

A=25√3 cm^2

Step-by-step explanation:

Since it is a regular triangle, all sides are equal to 10cm. The dotted line is a perpendicular bisector, which means that it seperates the triangle into two perfect halves. So a right triangle is formed. The bottom of the right triangle will be half of 10, and 10/2=5. So to find the missing side, use the pythagoreom theorem.

5^2+x^2=10^2

25+x^2=100

x^2=75

x= 5√3

The height of the triangle is found, so apply the formula for area:

A=1/2*5√3*10

A=25√3

Answer:

D. 20

Step-by-step explanation:

The line of best fit for the equation is:

[tex]y = 3x - 4[/tex]

When x = 8

We have to find y. So

[tex]y = 3*8 - 4 = 24 - 4 = 20[/tex]

So the correct answer is given by option D.

Answer:

Part A

Part B

Step-by-step explanation:

Given data:

Find the mean of the data above:

Find absolute deviations, an absolute value of the difference of data and the mean:

Find mean absolute deviation:

Correct choice is C

Less mean absolute deviation is the sign of more consistent data.

Since Ryan Shafer has smaller mean absolute deviation, he has been more consistent 7 < 7.25

Correct choice is B.

Answer: C

Step-by-step explanation:

Answer:

1 1/8

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

62 / 2 = 31

Answer:

31

Step-by-step explanation:

angle is half of arc

Answer:

your answer will be 25 .....ok

Answer:

x = 25

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 3 when x = 15

3 = 15k ( divide both sides by 15 )

[tex]\frac{3}{15}[/tex] = k, that is k = [tex]\frac{1}{5}[/tex]

y = [tex]\frac{1}{5}[/tex] x ← equation of variation

When y = 5 , then

5 = [tex]\frac{1}{5}[/tex]x ( multiply both sides by 5 to clear the fraction )

25 = x

Answer:

x = 7.5

I used the Pythagorean theorem:

[tex]c=\sqrt{x} a^2+b^2=\sqrt{x} 4.5^2+6^2=7.5[/tex]

Step-by-step explanation:

Have a nice day!

and can I maybe have brainliest? Thanks!

Answer:

30%

Step-by-step explanation:

3/10=30/100 and 30/100 is the same as 30%

because %'s mean out of 100 so 30% means 30 out of 100 which can be simplified to 3 out of 10 or 3/10 (so its all equal)

Answer:

3%

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

your trying to make it equal, in order to do that you must do to the top what you did the bottom

11 = ?

20=100

to get from 20 to 100 you multiply by 5 so we multiply the top by 5 to make it equal

11/20x5/5=55/100

Answer:

D) -7y + 14

Step-by-step explanation:

-7 x y = -7y

-7 × -2=14 ( negative times negative equals positive)

Answer:

216in^2

Step-by-step explanation:

6*6*6=216

side length is 6

6^2=36

36*6=216

Answer:

B one

They only cross once on the graph

Answer:

right and scalene

Step-by-step explanation:

all the sides are different in length, so it's a scalene triangle, plus, it has a right angle, which makes it a right angled triangle.

Answer:

Step-by-step explanation:

Use the Law of Cosines:

c^2 = a^2 + b^2 - 2ab*cos C becomes

7^2 = 11^2 + 13^2 - 2(11)(13)cos C.

Once you have cos C, and then side c, you can use the Law of Sines to find the other two interior angles.