A mountain has a 20 degree slope, and is 1 mile tall. How far do you need to hike to reach the summit?

Answers

Answer 1

The distance we have to hike to reach the top of the mountain is

2.92 miles.

What are trigonometric ratios in terms of a right-angle triangle?

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

Given, A mountain has a 20-degree slope and is 1 mile tall and we have to hike the mountain so we want to know the distance.

Here hypotenuse is the distance we have to hike and according to the reference, the angle opposite has a distance of 1 mile.

We know sin = opposite/hypotenuse.

sin20° = 1/hypotenuse.

0.342 = 1/hypotenuse.

hypotenuse = 1/0.342.

hypotenuse = 2.92 miles.

learn more about trig ratios here :

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Related Questions

Kira started a game at 4:37 PM and finished it at 5:16 PM.
How long did it take her? Give your answer in minutes.

Answers

Answer:

39

Step-by-step explanation:

4:37 till 5:00 is 23 minutes.

+ 16 minutes

= 23 + 16

Answer:

39 minutes

Step-by-step explanation:

First, find how much time passed between 4:37 PM and 5 PM.

Since there are 60 minutes in an hour, subtract 37 from 60:

60 - 37

= 23

There are 16 minutes in between 5 PM and 5:16 PM.

So, add the 23 minutes to 16:

23 + 16

= 39

So, it took her 39 minutes

To find the volume of a box that has a 19 by 22 base and 27 layers, I multiply the area of the base times the height.


HELP PLS MY TEACHER NEEDS IT DONE NOW​

Answers

Answer:

11286

Step-by-step explanation:

The volume of a box or a cube is base time height times height.

base × width × height = volume

19 x 22 x 27 = volume

=11286

Hope this helps!

It can be concluded that, the statement made by the student - multiply the area of the base times the height is correct method to find the volume of box.

What is the volume of a Cuboid?

The volume of a cuboid is given by -

V = L x B x H.

where -

L is the length

B is the breadth

H is the height

Given is a statement made by a student who says - To find the volume of a box that has a 19 by 22 base and 27 layers, I multiply the area of the base times the height.

Since the dimensions of the base represent a rectangle, We can place 27 layers over it one after the another, the resulting figure will be a cuboid, such that the height of the cuboid will 27 units. The volume of the box will be -

Area of its base x 27

Or we can write -

19 x 22 x 27

11286 units³

Therefore, it can be concluded that, the statement made by the student - multiply the area of the base times the height is correct method to find the volume of box.

To solve more questions on Cuboids, visit the link below-

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Mary’s mother invested in an internet stock the price went up and down over the next few months: +32, -10 +13 -25 at the end of the time period had the price of the stock finished higher or lower than it started show work

Answers

Answer:

higher

Step-by-step explanation:

add all of these numbers, if the sum is positive it is higher, if the sum is negative it is lower

32-10+13-25=10, this is positive so it is higher

The scale of a map is 1 cm : 7 miles find each distance.
A road is 4 cm long on the map. find the actual length of the road.

Answers

pretty sure the answer is 28 miles

3.d) A pattern has 4 blue triangles to every 12 yellow triangles. What is the ratio of blue triangles to all triangles? * O 4:12 O 12:4 O 4:1 O 1:4​

Answers

Answer is D) 1:4

Explanation:

For every 4 blue, we have 12 yellow. This means 4+12 = 16 total.

The ratio of blue to total is 4:16 which reduces to 1:4 when we divide both parts by 4. The order of the values matters since 1:4 is different from 4:1.

A grocery store is making fruit baskets using 144 apples, 108 oranges, and 90 pears. Each basket will be identical. What is the greatest number of fruit baskets the store can make using all the fruit?

Answers

i think u multiply all them,dont think im right,if im right let me know.

Answer:

answer is 18

Step-by-step explanation:

What goes in the blank below.

In a rotation, the pre-image & image are _______.

The corresponding angles have the ________ measurement.

The corresponding sides have the ________ measurement.

Answers

Answer:

  congruent, same, same

Step-by-step explanation:

In a rotation, the pre-image & image are congruent.

The corresponding angles have the same measurement.

The corresponding sides have the same measurement.

Need help ASAP! Tysmm

Answers

Answer:

26

Step-by-step explanation:

-4*2+3*4-2

16+3*4-2

16+12-2

28-2

26. PEMDAS

hello guys please help 96 ÷ 3

Answers

Answer: 32

Step-by-step explanation:

This is a simple question:

If you want to know if its divisible by 3 then just add up the digits in 96.

In this scenario 3 is divisible because 9+6=15 and 15 divided by 3 = 5

Now use long division to solve:

96 divided by 3 = 32

Hope this helps! :)

BRAINLIEST

(2x+4)/3=6

x=

what does x = i need help quick

Answers

Answer:

15

Step-by-step explanation:

x=7

multiply 6 by 3 to get it out of the left side =18
subtract 4 from both sides
divide 2 by both sides

WILL MARK BRAINLIEST!!
Read and answer
try ur best :)

Answers

Answer:

C

Step-by-step explanation:

Answer:

It is 1.50

Step-by-step explanation:

How to do solving equations in two variables​

Answers

Answer:

plz give me brainly but the answer is

Step-by-step explanation:

In a two-variable problem rewrite the equations so that when the equations are added, one of the variables is eliminated, and then solve for the remaining variable. Step 1: Multiply equation (1) by -5 and add it to equation (2) to form equation (3) with just one variable.

help me pleaseeeeeeeeee

Answers

Answer:

I believe its B or C

Step-by-step explanation:

Im sorry if its wrong, if its right can you mark me brainliest?

Round 10,463.24 to the nearest whole number.

Answers

Answer:

10,643.24
Hope it helps

I’ll give brainliest

Answers

Answer:

The graph of the system of equations solves the equation  [tex]-\frac{1}{4}[/tex] x + 2 = 2x - 7 ⇒ C

Step-by-step explanation:

Let us revise some important notes about the slope and y-intercept of a line

The form of the linear equation is y = m x + b, where m is the slope and b is the y-intercept

If the line has a positive slope then its direction will be to the rightIf the line has a negative slope then its direction will be to the left

The y-intercept (0, b) is the the point of intersection between the line and the y-axis

If the line cuts the y-axis at a point above the x-axis, then b is positiveIf the line cuts the y-axis at a point down the x-axis, then b is negative

To solve our question without any calculation, let us find the direction of the slopes and their y-intercepts

∵ The direction of the blue line is to the left

→ That means m in the equation is negative

∴ Its slope is negative

∵ The line intersects the y-axis at point (0, 2)

→ That means b in the equation = 2

∴ The number in the equation is 2

→ Look at the answer we have two answers have negative slope and

   y-intercept 2 in the left hand side ⇒ C and D

∴ The equation of the blue line is represented by the left side [tex]-\frac{1}{4}[/tex] x + 2

→ that means the equation of the red line is represented by the right side

∵ The direction of the red line is to the right

→ That means m in the equation is positive

∴ Its slope is positive

→ Only C has a positive slope in the right side

∴ The equation of the red line is represented by 2x - 7

The graph of the system of equations solves the equation  [tex]-\frac{1}{4}[/tex] x + 2 = 2x - 7

Another way:

You can solve each equation to find the value of x, then substitute it in one side of the equation to find y , the values of x and y must be (4, 1) as the point of intersection of the two lines in the graph

Which is the best approximation for sqrt 55
A) 7
B) 7 2/5
C) 7 7/15
D) 8

Answers

The best approximation for sqrt 55 would be: B) 7 2/5

Please help me with this algebra problem, it’s in the picture. I’ll give you brainliest if it’s correct!!

Answers

Please Mark brainliast

please

What is the equation of this line?


A. y=2x−3

B. y=−12x−3

C. y=−2x−3

D. y=12x−3

Answers

Answer:

2×-3 is the best equation for this.

Answer: y=2x-3

Step-by-step explanation:

What is 2 ^ 5/3 raised to the third power? Simplify your answer.

Answers

Answer:

2^5 or 32

Step-by-step explanation:

Maybe Answer: 2^5 or 32

What is the domain of the function below?

A.


B.


C.


D.

Answers

Answer:

A

Step-by-step explanation:

Hold on servers are swamped please wait.

y = -5x - 8
y = 4x + 1

Answers

Answer:

X= -1

Y= -3

Step-by-step explanation:

y=-5x-8

y=4x+1

-5x-8=4x+1

+5x. -1 +5x -1

-9=9x

-1=x

Y=4(-1)+1

-4+1

Y=-3

Brody bought 22 chicken wings for $37.40. If Brody spent $30.60, how many chicken wings did he buy?

Answers

Answer:

18

Step-by-step explanation

18 wings costs exactly 30.60

Please help me with this question. Hope to get answers asap!

Answers

Answer: Approximately 7.4162

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

[tex]\sqrt\\ 55[/tex] = 7.416198487095663, rounded to the nearest integer is 7.

graph a right triangle with the two points 4,5 and -4,8​

Answers

Answer:

Step-by-step explanation:

Please write points using parentheses:  (4, 5) and (-4, 8}.

(4, 5) is in the 1st quadrant and (-4, 8} is in the 2nd. Reversing the order of these two points yields (-4, 8) and (4, 5).  From this we can see that while moving from (-4, 8) to (4, 5) involves following a line with negative slope (because the y-coordinate decreases from 8 to 5 as the x-coordinate increases from -4 to +4).  This sloping line is the hypotenuse of a right triangle.  Draw a vertical line segment through (-4, 8) and a horizontal line segment through (4, 5).  This hypotenuse, the vertical line segment and the horizontal line segment are the boundaries of the desired right triangle.  

Find the difference between 8/15 and- -2/3. Show all calculations in your final answer.

I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER!!!

Answers

8/15 - (-2/3)
Its like adding them when its -(-#), so we turn it into 8/15 + 2/3
Now we make each fraction have the same denominator; 8/15 + 10/15
Now we solve by adding; 18/15 = 1 1/5

Answer:

1 1/5

Step-by-step explanation:

LCD = 15

8/15 + 2*5/3*5

8/15+10/15

8+10/15

18/15

6/5

1 1/5

If B is between C and D, BC = 10 in., and BD = 3 in., then CD = ________.

Answers

if B is between C and D, BC= 10 in., and BD=3 in., then CD =2AD

Answer: CD is 13
See attached picture

solve for w
3 - 3w = 6​

Answers

Answer:

w equals negative 1one

You are purchasing plants and have 30 dollars.A mall plant cost $2.00 and a large plant cost $6.00 Let x represent the number of small plants and y represent the number of large plants write in standard form.

A.6y=2x+30
B.2x+6y=30
C.2y+6x=30
D.-2x-6y=30

Answers

Answer:

id say C because 2 times 6= 12 and 6 times 2 is 12 and 12+12 = 24 and all the other answers are over 30

Step-by-step explanation:

id say C because 2 times 6= 12 and 6 times 2 is 12 and 12+12 = 24 and all the other answers are over 30

good luck and have fun :)

help pls im so confused

Answers

the correct answer is c!

Charlie makes $425.25 in sales each month. How much money should expect to make in 2.5 years?

Answers

Answer:

$12,757.50

Step-by-step explanation:

2.5x12=30 months

30months x 425.25= 12,757.50

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How is a sand bar formed? A hiker walks 11 km due north from camp and then turns and walks 11 km due east. What is the magnitude of the displacement (on a straight line) of the hiker from the camp? Read the following scenario:A small community theater is producing a large musical. There are three primary set changes in this production: two representing interior locations and one representing an exterior location. The theater does not have the budget to construct three separate sets, nor do they have enough people to change three sets during production. Which of the following might a multimedia artist do to make these set changes possible?Collaborate with the set designer to create a 3D model of the set that can be used to aid in the construction.Create three separate backgrounds to project onstage and work with the props manager to create props that fit each scene.Collaborate with the set designer to create a 3D model of the set and develop digital backdrops to project onstage for each scene.Create an exterior background on the computer and project it onstage during the exterior scenes. someone please help Cupola awning corporation introduced a new line of commercial awnings in 2018 that carry a two-year warranty against manufacturer's defects. Based on their experience with previous product introductions, warranty costs are expected to approximate 3% of sales. Sales and actual warranty expenditures for the first year of selling the product were: How did Emperor Justinian and Empress Theodora strengthen the ByzantineEmpire? What is the unit of force called? 5/8x + 1/5x =66 what does X equal? What are the problems with security when working on a Web Page? Whats an example of monumental architecture Oranges cost $2.00 for 1 1/4 pounds of oranges. How much will it cost for 5 pounds of oranges? If there is more than one answer, the first correct answer will be marked BRAINLIEST! :o)Read the passage.Researchers in Sweden decided to conduct testing on an individual buried in a famous Viking grave. The grave is known as Bj 581. This grave contains a single human, two horses, and weapons. Scientists reexamined the body in 1970. They studied the shape of the hips. The shape seemed to be female. This claim stirred up a controversy. Could Viking warriors be women? In 2017, scientist Charlotte Hedenstierna-Jonson analyzed ancient DNA from Bj 581. The results were conclusive. The Viking in the grave was female.What is the central idea of the passage?Viking warriors could be women.Grave Bj 581 is a famous Viking grave.A human and two horses were buried together.Scientists conducted tests on the body in grave Bj 581. NEED HELP FAST !!!!! A student rode her bike to a friends house. She traveled 30 meters in 5 minutes and stopped one time along the way: ---------Constant speedAverage speed Velocitynegative accelerationA car traveled at the same speed of 110 km/ hr around an oval track: ------------Fill In the Blank Multiply (4)(2)(5) A 40B -8 C 8 D 40 Match each quantity in the first list with an appropriate unit of measurement from the second list. 1. The volume of a refrigerator2. Distance a person can run in 10 minutes3. The surface area of a tissue box4. The perimeter of a baseball field5. The surface area of the moon6. The volume of a large lake 7. The length of macaroni noodle8. The area of a bed sheeta. cubic kilometersb. square inchesc. metersd. square kilometers e. centimeterf. mileg. cubic feeth. square feet Question 3 (1 point)The Senate was created from the ideals of this planA.New Jersey PlanB.Virginia PlanC.Missouri CompromiseD.Canadian Bacon Please match the correct word to the correct term.A. Exploration company who financed exploration around the globe to create colonies and make financial gain from trading resources.B. a landowner who lets others live on the land if they pay him a taxC. Explorer who claimed land in the New World for the Dutch India Company.D. Was gifted New Netherland by the King of England when they took over the area from the Dutch.E. claimed by Henry Hudson for the Dutch India company. Renamed New York in 1664 when English took over.1. New Netherland2. Duke of York3. Proprietor4. Henry Hudson5. Dutch West India Company La escuela ____________ muy grande. ser or estar When offspring produced by sexual reproduction move into different environments, new species sometimes emerge over time. Which characteristic of sexual reproduction allows this result to occur? A) speed with which offspring are producedB) number of offspring produced C) diversity of the offspring produced D) size of the offspring produced