A ski slope is 320 yards long with a vertical drop of 100 yards. Find the

angle of elevation of the ski run. Round to the nearest degree.

Answers

Answer 1

Answer:

18°

Step-by-step explanation:

A ski slope is 320 yards long with a vertical drop of 100 yards. Find the

angle of elevation of the ski run. Round to the nearest degree.

The formula for angle of elevation is given as:

sin θ =Opposite/ Hypotenuse

Opposite = Vertical drop = 100 yards

Hypotenuse = Ski slope = 320 yards.

Angle of elevation =

sin θ = 100/320

sin θ = 0.3125

θ = arc sin(0.3125)

= 18.209956864°

Approximately = 18°


Related Questions

..A cuboid is of dimensions 100cm x 60cmx40cm
How many small cuboids of dimensions
5cm x 8cm x 10cm can be placed in the
given cuboid.​

Answers

Answer:

600

Step-by-step explanation:

Volume big cuboid=100×60×40=240000cm³

Volume small cuboid=5×8×10=400

Number of small cuboids that can fit= 240000/400=600


Each time you take your dog to the dog park it costs $1.75. Write an expression that represents the cost of n visits to the dog park.

Answers

Answer:

1.75n

For each visit it costs 1.75, so n visits would be the product of the two.

Step-by-step explanation:

Answer:

1.75n

Step-by-step explanation:

"every time" means multiplication.

Total cost is $1.75 multiplied by n number of trips.

(for instance, if you take 3 trips, it would be 1.75+1.75+1.75, or 1.75*3)

Solve
2x2 + 3x + 1 = 0

Answers

Answer:

it's false

Step-by-step explanation:

Answer:

x= -1 or x= -1/2

Step-by-step explanation:

x = -1, x = -1/2, Solve for x:

2 x^2 + 3 x + 1 = 0

The left hand side factors into a product with two terms:

(x + 1) (2 x + 1) = 0

Split into two equations:

x + 1 = 0 or 2 x + 1 = 0

Subtract 1 from both sides:

x = -1 or 2 x + 1 = 0

Subtract 1 from both sides:

x = -1 or 2 x = -1

Divide both sides by 2:

x = -1 or x = -1/2

Pleaseee helppp answer correctly !!!!!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!

Answers

I’m pretty sure it’s just 30

Solve the simultaneous equations.
Please help.

Answers

Answer:

the answer is x= 5 and y = 1.5

Answer :Value of x is 5 Value of y is 1.5Explaination :

Here we have been given with two equations and we will solve them by elimination by substitution method inorder to get the value of x and y.

5x - 4y = 19 (Equation No 1)x + 2y = 8 (Equation No 2)

From Equation No 2 :-

>> x + 2y = 8

>> x = 8 - 2y

In Equation No 1 :-

Substituting here the value of x which we got above as (8 - 2y).

>> 5x - 4y = 19

>> 5 (8 - 2y) - 4y = 19

>> 40 - 10y - 4y = 19

>> 40 - 14y = 19

>> -14y = 19 - 40

>> -14y = -21

>> 14y = 21

>> y = 21 / 14

>> y = 1.5

Finding out value of x :-

>> x = 8 - 2y

>> x = 8 - 2 (1.5)

>> x = 8 - 2 × 1.5

>> x = 8 - 3

>> x = 5

At practice, Carlos eats half as many apples as Alex, and also eats 2 tangerines. He eats 4 pieces of fruit in total. The equation 0.5x + 2 = 4 describes this situation. What does the variable represent?

Answers

Answer:

Step-by-step explanation:

In this scenario, the variable x represents the total number of apples that Alex has eaten. Since Carlos has eaten half as many apples as Alex this would be represented as 0.5 and is why it is being multiplied by the variable x. The 2 in this scenario represents the tangerines that Carlos has also eaten, while the 4 represents the total number of fruits that Carlos has eaten.

(3x²+4x-1) + (-2x²-3x+2)

Answers

Answer:

(3x²+4x-1) + (-2x²-3x+2)

3x²+4x-1 -2x²-3x+2

3x²-2x²+4x-3x-1+2

x²+x+1

Answer:

x²+x+1

Step-by-step explanation:

Can someone please help?!?!?!?!

Answers

Slope = Rise of y (up or down) / run of x (left or right)
So 160/200 equates to 4/5
The slope is 4/5

Helppppppppppppppppppp I’ll mark you brainlist

Answers

Answer:

1

Step-by-step explanation:

you add +6 everytime you up the number :))

Answer:

The missing value of x in this arithmetic sequence is "1"

Step-by-step explanation:

Since this is an arithmetic sequence that means that when we get from one term to the next one we always add/substract the same number each time.

In our case each time we need to find the next term we just add 6 to the current term. For example, after 13 we have 19 which is essentially 13 + 6.  

From this we know in order to get from x to 7 we added 6, now know this we can make an equation...

x + 6 = 7

And now we just solve it...

x + 6 = 7

x = 7 - 6

x = 1

у= 3х - 1
у = 3х + 2

Answers

Answer:

first on the slope is 3 and y intercept is 0,-1

second on the slope is 3 and y intercept 0,2

Step-by-step explanation:

What is the area of this square?

Answers

Answer:

4x4x4x4=256

Step-by-step explanation:

hope this helps

Answer:

20 = white square in the middle

Step-by-step explanation:

The whole square itself (including the blue parts) is 36 because 6 x 6 = 36

The 10th, 4th and 1st term of an A.P are three consecutive find the common ratio of the G.P and the sum of the 6th term, taking the 1st term to be 4

Answers

Answer:

Common ratio=1/2

Sum of first 6 terms of an A.P=31.5

Step-by-step explanation:

Let a be the first term and d be the common difference of an A.P

a=4

nth term of an A.P

[tex]a_n=a+(n-1)d[/tex]

Using the formula

[tex]a_4=a+3d=4+3d[/tex]

[tex]a_{10}=a+9d=4+9d[/tex]

According to question

We know that

For G.P

[tex]\frac{a_n}{a_{n-1}}=r[/tex]=Common ratio

[tex]r=\frac{4+3d}{4+9d}=\frac{4}{4+3d}[/tex]

[tex]\frac{4+3d}{4+9d}=\frac{4}{4+3d}[/tex]

[tex](4+3d)^2=\frac{4}{4+3d}[/tex]

[tex]16+9d^2+24d=16+36d[/tex]

[tex]9d^2+24d-36d-16+16=0[/tex]

[tex]9d^2-12d=0[/tex]

[tex]3d(3d-4)=0[/tex]

[tex]d=0, d=4/3[/tex]

Substitute the value of d

When d=0

[tex]r=\frac{4}{4+3d}=\frac{4}{4+0}=1[/tex]

When d=4/3

[tex]r=\frac{4}{4+3\times \frac{4}{3}}=\frac{1}{2}[/tex]

But we reject d=0 because  if we take d=0 then the terms are not consecutive terms of G.P

Sum of n terms of an A.P

[tex]S_n=\frac{n}{2}(2a+(n-1)d)[/tex]

Using the formula

Substitute n=6 and d=1/2

[tex]S_6=\frac{6}{2}(2(4)+5\times \frac{1}{2})[/tex]

[tex]S_6=31.5[/tex]

Brent's neighborhood is putting down new mulch at the playground and he is in Charge of buying the mulch. One bag covers 3 yd.². How many bags will he need?

Answers

Answer:

I don't know but 4 could be it

Step-by-step explanation:

There are two numbers that
multiply to -45 and combine to 12. Find
the two numbers, then the LARGER
number is your answer for this question.

Answers

Answer:

The large number is 15

Step-by-step explanation:

15 * (-3) = -45

15 + (-3) = 12

Find 39.5% of 373. Round to the nearest hundredth

Answers

39.5% of 373. is 147.336

BAKE SALE Cassandra and Alberto are selling pies for a fundraiser. Cassandra sold 3 small pies and 14 large pies for a total of $203. Alberto sold 11 small pies and 11 large pies for a total of $220. Determine the cost of each pie.

Answers

Answer:

Large pie = 13

small pie = 7

Step-by-step explanation:

hope this helps!

Taking into account the definition of a system of linear equations, the cost of each small pie is $7, while the cost of each large pie is $13.

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is, the values ​​of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.

In this case, a system of linear equations must be proposed taking into account that:

x: cost of each small piey: cost of each large pie

Cassandra sold 3 small pies and 14 large pies for a total of $203. This is represented by: 3x + 14y= 203

Alberto sold 11 small pies and 11 large pies for a total of $220. This is represented by: 11x + 11y= 220

So, the system of equations to solve is:

[tex]\left \{ {{3x+14y=203} \atop {11x+11y=220}} \right.[/tex]

There are various methods to solve a system of equations, it is decided to solve by the substitution method, which consists of solving one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, isolating the variable y from the first equation, you obtain:

14y= 203 - 3x

y= (203 - 3x) ÷14

y= 14.5 - [tex]\frac{3}{14}[/tex]x

Replacing this expression in the second equation and solving, you obtain:

11x + 11×(14.5 - [tex]\frac{3}{14}[/tex]x)= 220

11x + 11×14.5 - 11×[tex]\frac{3}{14}[/tex]x= 220

11x + 159.5 - [tex]\frac{33}{14}[/tex]x=220

11x - [tex]\frac{33}{14}[/tex]x=220 - 159.5

[tex]\frac{121}{14}[/tex]x= 60.5

x= 60.5÷ [tex]\frac{121}{14}[/tex]

x= 7

Finally, to obtain the value of y, it is replaced in the expression previously obtained for y:

y= 14.5 - [tex]\frac{3}{14}[/tex]x

y= 14.5 - [tex]\frac{3}{14}[/tex]×7

y= 14.5 - [tex]\frac{3}{2}[/tex]

y= 13

Finally, remembering that x represents the cost of each small pie and y represents the cost of each large pie, so the cost of each small pie is $7, while the cost of each large pie is $13.

Learn more about system of equations:

https://brainly.com/question/1995493

https://brainly.com/question/3291576

https://brainly.com/question/7487907?referrer=searchResults

What is the slope of y= -4x-3​

Answers

m=-4 hope this helps!!

which translation is moving left 5 and down 3​

Answers

Answer:

f i think?

Step-by-step explanation:

Tina has an old fish tank in the shape of a circular cylinder. The tank is 2 feet in diameter and 6 feet high. How many cubic feet of water does it hold?

Answers

Answer:

The tank can hold 18.84 cubic feet

Step-by-step explanation:

Given

Shape: Cylinder

[tex]D = 2ft[/tex] -- Diameter

[tex]H = 6ft[/tex] -- Height

Required

Determine the volume

First, calculate the radius (r)

[tex]r = \frac{1}{2}D[/tex]

[tex]r = \frac{1}{2}*2ft[/tex]

[tex]r = 1ft[/tex]

The volume (V) of the tank is:

[tex]V = \pi r^2h[/tex]

Substitute values for r and h

[tex]V = 3.14 *1^2*6[/tex]

[tex]V = 3.14 *1*6[/tex]

[tex]V = 18.84[/tex]

Hence, the tank can hold 18.84 cubic feet

I WILL NAME YOU BRAINLIEST AND GIVE YOU ALL MY POINTS IF YOU SOLVE THIS!!!!! In the diagram, each shape has a value and the sums of the shapes in each of the first three rows is given. Find the sum of the shapes in the fourth row.

Answers

Answer:

27

Step-by-step explanation:

ez

Answer:

26

Step-by-step explanation:

Square=5

Circle=7

Triangle=4

Do the math to check for yourselves.

HELP PLEASE THIS IS HARD-!

Answers

Answer:

12

Step-by-step explanation:

[tex]\frac{2(2)}{2} +2(2)+\frac{2(6)}{2} =2+4+6\\ =12[/tex]

Find the slope of the line passing through the points (-3,5) and (-3,-7)? can anyone help me

Answers

Answer:  Slope = Undefined

===========================================

Explanation:

Let's apply the slope formula

m = (y2-y1)/(x2-x1)

m = (-7-(-3))/(-3-(-3))

m = (-7+3)/(-3+3)

m = -4/0

We run into trouble because 0 is in the denominator. We cannot divide by zero. This is why the slope is undefined.

The two points (-3,5) and (-3,-7) form a vertical line when you draw a line through them. All vertical lines have an undefined slope.

Put another way: the x coordinates of both points are the same (both are -3), so when we subtract those x coordinates, we end up with 0 in the denominator that leads to an undefined slope.

37 degrees Celsius to Fahrenheit ​

Answers

98.6 degrees fahrenheit

Answer:

98.6 Fahrenheit

Step-by-step explanation:

can somebody answer it for me please. simplify and it can only contain positive exponent.

Answers

Answer:

1/2m^12

Step-by-step explanation:

simplify the expression :

m^-6/2m^3 x m^3

1/2m^9 x m^3

solution: 1/2m^12

sorry its really hard to explain the steps but I hope I helped you :)

Answer:

[tex]\frac{1 }{2m} ^x{12}[/tex]

Step-by-step explanation:

just take away the X

Is this true or false?

Answers

Answer:

True

Step-by-step explanation:

Use the rule of fractional exponent: The denominator becomes the root index and the numerator becomes the power.

2x + 8y = 28
2x + 8y = 29
e?

Answers

Answer:

The question is unclear. what is e?

Which equation best represents the comparison sentence

Answers

Answer:

5

Step-by-step explanation:

I WILL GIVE BRAINLIEST TO WHO WRITES THE STEP(WORK) DOWN! NOT JUST AN ANSWER!!!
x/4 < −1.5

Answers

Answer:

x < -6

Step-by-step explanation:

[tex]\frac{x}{4} < -1.5[/tex]

to isolate x, multiply both sides by 4

[tex](4) \frac{x}{4} < -1.5 (4)[/tex]

which gives you:

x < -6

Simplify the expression
6x -(5x-4)

Answers

Answer:

x + 4 OR 1x + 4

Hope this helps, thank you !!

find that area please

Answers

I think it’s 28

Okay so you divide the shape into three shapes. A square with the sides as 4•4. A rectangle with the sides 4•2. And a triangle with the sides 4•2.

4•4 = 16
4•2= 8
4•2 divided by 2 = 4
Then add
16+8+4= 28

I’m not for sure if this is right if it’s wrong just ignore it I’m sorry
Other Questions
Which number best represents the slope of the graphed line? During the middle ages, the city of Constantinople wasAthe largest city in the worldBprotected by high mountains and desertsCthe holiest city to ChristiansDthe home of the Pope How much more would Keri's monthly loan payment be if she got a 5% loan for 5 years?$ more per month What is the function of the Cornea? give at least three characteristics of Mr. Jones from the book animal farm. Be sure to cite where you found the evidence of these characteristics During the 1920s, "American multinational corporations" a. resisted new ventures abroad in the aftermath of WWI b. demonstrated limited interest in controlling raw materials in other countries. c. produced few automobile for international markets d. extended their reach thworld roughout the world e. reduced investments overseas please answer asapSelect all the rules that apply to root changes in the past tense.Question 7 options:1. Stems of infinitives -er and -ar do NOT change.2. Stems of infinitives -ir change in the third person, singular and plural.3. If there is a single vowel in the stem change in the present, the same change is preserved in the past tense.4. If there are two vowels in the stem change in the present, the change in the past consists of the first letter of the change. Find the perimeter of lsosceles triangle ABC (below) if mAD = 3 and m < BAC = 55 degrees. Round to the nearest hundredth. fill in the blanks to explain ''the new norm plan'' host should use what they have_____ to best manage____ answers: already built, newly restored, rarely used.( for the "host should use what they have)crowds, budgets, materials. ( for " to best mange") In a fruit survey , 30 children choose their favourite fruit out of apples, bananas and watermelon.10% choose apples, 30% choose bananas. How many children choosewatermelon? ANYONE HAVE THE TIME TO READ THIS AND TELL ME WHAT TO DO TO IMPROVE? PLEASE IT WOULD MAKE MY DAY!!!!!!!*Snow Day**Bill 12 years old*Joe Bills friend 11 years old*SCENE 1*TIME, PLACE, BASIC SETTING, ETC.**Narrator,It was a cold winter morning in the middle of January our Characters Bill and Joe(they are BFs)are having fun during a snow day when they hear a loud noise.*Bill*What was that Noise?*Joe* I have no idea lets go find out.*Bill*Yeah it sounded like it came form the forest over there. Lets go!.*Narrator* The to children wonder into the woods in search of the noise they have heard.BANG!!!.*Bill* WHOA!!!!!!Joe* (Whispers) Be quite theres something up there.Bill* (Says in a low voice)Its an alien spaceship!*SCENE ENDS*Scene 2Bill* Lets hide behind this bush.*Joe.*Wow thats so weird are you sure?*Bill.*Im sure. (Whispers)Uh-oh I think the Alien heard us!Joe* What makes you think that?Bill* Look!Narrator* Joe looks over Bill to see the alien fitted in what looks like armor wobbles over to where they are hiding.Joe* We got to get out of here!!They Jump out of the bush and the alien looks frightened. It turns around and begins to run wabble away.Joe*Wait we didn't mean to scare you!!Bill* I think hes more afraid of us then we are of him.Joe* Yeah, but weve got to help him hes not from here.Bill* I agree and maybe we will be able to make this Duo a Trio.Joe*Agreed Lets go!Narrator* The Duo try to find clues on where the alien has went.Bill* Joe, its getting late and we cant find him.Joe*Here!! A footprint!Bill* Nice it looks like he went into the caveJoe*There he is! In the cave.Narrator* The boys Cautiously enters the cave where they hear a slight rumbling and a CRASH.Bill*(Coughs)Joe are you ok?Joe*(Wheezes) Yeah but I think the cave fell in.Bill* Yeah.Joe* Wheres the Alien?Bill* I think that he is on the other side of the wall.Joe*We have to save him!Bill* I know but its pitch black we are going to need to get supplies.Narrator* The boys return to Joes house where they go into Joes Bedroom Where they got 2 Flashlight Glowsticks and Walkie Talkies.Joe* I think that we are ready to save a alien!END OF ACT 2Scene 3Narrator*The Boys return to the cave to help the alien. While Joe goes on top of the hill where the entrance to the cave is located while Bill goes in the cave to try find an opening.Bill* I think that I may have found a small hole but I cant seem to slip through it.Joe* Ok Ill keep looking up here if I find any holes ill let you know.Bill* Ok, AHHHHHHH!!!!!!Joe* Bill? Bill! Are you ok!?!Bill* Yeah Yeah Im fine but there a bigger problem now.Joe*Whats That?Bill* The Aliens stuck under a rock!!(The alien squirms and wiggles but cant get free.)Joe*Hold on Im on my way!Narrator*Bill looks down at the alien and sees he wont survive much longer so Bill takes matters into his own hands.Bill* I have to save this alien!(Bill Puts his hand on each side of the rock and begins to pull as hard as he cans)Bill*(Grunts) Come On!!Narrator* The rock begins to rise slowly but Bills strength is fading.Bill*(Whimpers) I cant hold it much longerJoe* Hang in there Im on my way!(The alien sees the effort and determination in Bills face and begins to help in the lifting of the rock)Bill* All..most..there..Narrator*As Bill and the alien strain to lift the Huge rock Joe runs as fast as he could to get back to where the where and just as the had used the last amount of there strength trying to lift the rock.Joe leaps into action and with there combined strength the alien shimmies out of underneath the rock. And with a loud thud the rock falls. But everything beings to shake For The cave is CAVING IN!!Bill* (Yells) WEVE GOT TO GET OUT OF HERE!!Joe*WE WILL NEVER MAKE IT!(The alien grabs the two boys and takes off running bolt at top speed out of the cave just as the roof falls in. The alien sets them down and bows as if it was saying thank you.)Bill*(Pants)Whoa what just happened?Joe*(Mumbles) I have no idea.(The alien looks at the two boys and pats them gently and there heads. As if he was saying Good Bye. The alien bolts out of sight and soon they see the alien ship fly over there heads out into the unknown universe.)Bill* The alien saved our lives.Joe* Yeah.(As they talk about what has just happened something falls from the sky)(Clash!)Bill* What is it?Joe*Its a figurine...an alien figurine. But what does it mean?Bill*I think it means never to forgetJoe* Yeah, Ill never forget today.Narrator* They boys pretured from the forest and walk toward the sunset arms hung over one another toward the place they call home.Bill*Yeah, me neither. But we can both agree it was a great snow day.*MOVIE/PLAY ENDS* What was the outcome of William Backnell's first trip Tasha went golfing. Tasha hit the ball 220 yards down the fairway and then 165 yards to the hole. What would have been the shortest distance had she just hit the ball from the tee area to the hole? Why didn't the bill of rights make slavery unconstitutional? you love going to soccer practice every friday night. however, last week you had to go to dinner with your family instead, and this week a friend has invited you to the movies. interior or exterior? the reciprocal of 7/11 is what is the meaning of the assigned quote? we have not failed. We now know thousand things that wont work, so we are much closer to finding what will. Thomas Edison Why are fossils not found in igneous rocks?Igneous rocks are too dark in color to contain fossils.Igneous rocks are found too deep underground.Igneous rocks are made from cooling of lava or magma.Igneous rocks are too dense to contain fossils. A color printer prints 16 pages in 7 minutes.How many pages does it print per minute? Who do Sunni Muslims believe should lead the Muslim community?