23. The chair lift at a ski resort rises at an angle of 21° and attains a vertical
height of 1575 feet. How far does the chair lift travel up the side of a
mountain?

23. The Chair Lift At A Ski Resort Rises At An Angle Of 21 And Attains A Verticalheight Of 1575 Feet.

Answers

Answer 1

Answer:

The chair travels approximately 4,394.924 feet.

Step-by-step explanation:

We need to use trigonometric functions to solve this problem. You are given the opposite side of an angle and asked to find the hypotenuse. This means you must use sine, because sine is the ratio between opposite and hypotenuse.

Set up the equation as so:

sin(21) = 1575/x

(x being the hypotenuse). Solve for x by multiplying both sides by x and then dividing both sides by sin(21). Solve 1575/(sin(21)), and you get 4,394.924273, or 4,394.92


Related Questions

plz solve -8 ( x - 3 ) - 4x = 48

Answers

Answer:

x = -2

Step-by-step explanation:

-8 ( x - 3 ) - 4x = 48

Distribute

-8x +24 -4x = 48

Combine like terms

-12x +24 = 48

Subtract 24 from each side

-12x+24-24 = 48-24

-12x = 24

Divide each side by -12

-12x/-12 = 24/-12

x = -2

Answer:

X= -2

Step-by-step explanation:

First, you need to distribute -8 into (x-3) --->  -8(x-3)-4x=48

                                                                         -8x + 24 -4x= 48  

Get numbers with variables on its own side-->     -24         -24

                                                                            -8x - 4x  = 24

Combine -8x and -4x  ----->           -8x-4x = -12x   -12x    = 24

                       Divide ---------------------------------->    -12         -12

                                                                             24÷ -12 = -2

PLEASE HELP ! what is the grand total ?

Answers

Answer:

my answer is

5x^4-2

and i am not sure of the answer

Help help plizzzzz!!! Due today!!!!

Answers

Answer:

FIll in the first box comepletely, and the first line of the second box.

Step-by-step explanation:

5/4 is 1 1/4, so it's one whole, and one fourth of a whole. Hope this helps!

Answer:

20/4

Step-by-step explanation:

Multiply diagonally

[tex]\frac{5}{4} = \frac{1}{4}= \frac{20}{4}[/tex]

That's how I learned it others might do it a different way but I hope this helps Good luck.

On the diagram i need to fond the following measures of angles. Please help quickly!

Answers

Answer:

62° and 54°

Step-by-step explanation:

The exterior angle of a triangle is equal to the 2 opposite interior angles.

116° is an exterior angle of the triangle, thus

2x + 4 + 3x - 13 = 116, that is

5x - 9 = 116 ( add 9 to both sides )

5x = 125 ( divide both sides by 5 )

x = 25

Thus

∠ A = 3x - 13 = 3(25) - 13 = 75 - 13 = 62°

∠ B = 2x + 4 = 2(25) + 4 = 50 + 4 = 54°

Find the circumference if the diameter is 25 meters

Group of answer choices

5

50

15.7

78.5

Answers

Answer:

78.5

Step-by-step explanation:

the formula is C = 2π r

we know the diameter is 24

half of the diameter is radius

24 divided by 2 is 12

substitute what we know

C=2 times 3.14 times 12=  75.36

The closest option is 78.5

The answer is not completely the same because pi is not always exact

What are the coordinates closest to the park?

A) -4,-4

B) -4,6

C). 4,4

D) 4,-6

Answers

The answer will be D) 4,-6

Answer:

D) 4,-6 is the closest to the park

Which is the parametric form of the polar equation r=-4 theta?
A. x=-4 cos theta, y=-4 sin theta
B. x=-4 theta cos theta, y=-4 theta sin theta
C. x=-theta cos theta, y=-theta cos theta

Answers

Answer: Option B.

Step-by-step explanation:

we have that r = 4*θ

(you writted a negative equation, but we can never have a negative radius)

We also have that:

r = √(x^2 + y^2) = 4*θ

We can use the relationship cos(x)^2 + sin(x)^2 = 1

and write X = A*cos(θ) and Y = A*sin(θ)

and now we have:

r = √( (A*cos(θ))^2 + (A*sin(θ))^2) = √(A)^2 = 4*θ

So the correct option is:

x = 4*θ*cos(θ) or -4*θ*cos(θ)

y = 4*θ*sin(θ) or  -4*θ*cos(θ)

(We can have the positive or negative options because we are squaring the term, so the sign does not matter)

The correct option then is B

Answer:

C) x = -4θcosθ and y = -4θsinθ

Step-by-step explanation:

Other person was wrong.

What is the measure of angle DAE?

Answers

Answer:

DAE=134-89=45

Step-by-step explanation:

SINCE BAF and CAE are opposite angles they are equal so

BAF=CAD+DAE

134=89+DAE

DAE=134-89=45

The measure of angle DAE is 45 degrees.

What is vertically opposite angle?

when two lines intersect each other, then the opposite angles, formed due to intersection are called vertical angles or vertically opposite angles.

According to the given question

m∠BAF = 134 degrees

and, m∠CAD = 89 degrees

Since, ∠CAE and ∠BAF are vertically opposite angles.

Therefore, m∠CAE = m∠BAF = 134 degrees

Now,

m∠CAE = m∠CAD + m∠DAE

⇒ m∠BAF = 89 + m∠DAE

⇒ 134 = 89 + m∠DAE

⇒ m∠DAE = 134 - 89

m∠DAE = 45 degrees

Hence, the measure of angle DAE is 45 degrees.

Learn more about the vertically opposite angles here:

https://brainly.com/question/18045519

#SPJ2

Help ASAP!!What is the volume of our planet if we assume that it is a sphere with the radius 3, 950miles? Round your answer to the nearest integer, use 3.14 for you calculations.

Answers

Answer: 258023743333miles³

Step-by-step explanation:

Volume of a sphere = 4/3πr³.

where,

π = 3.14

r = radius = 3950

Volume of a sphere = 4/3πr³.

= 4/3 × 3.14 × 3950³

= 4/3 × 3.14 × 61629875000

= 258023743333miles³

The volume of our planet if we assume that it is a sphere with the radius 3,950miles will be 258023743333miles³

what is the range of possible sizes of side x 3.2 5.5

Answers

Answer:

i know one can be nine

Artur, Olga i Wiktor uczestniczyli w wyścigu. Wystartowali z tego samego miejsca, w tym samym momencie i biegną ze stałymi prędkościami. Gdy Artur ukończył bieg, Olga miała 15 m do mety,
a Wiktor miał 35 m. Gdy Olga ukończyła bieg, Wiktorowi pozostały 22 m do mety. Na jakim dystansie został rozegrany wyścig?

Answers

Answer:

165m

Question:

Artur, Olga and Wiktor participated in the race. They started from the same place at the same time and run at constant speeds. When Artur finished the race, Olga was 15 m to the finish,

and Wiktor was 35 m. When Olga finished the race, Wiktor remained 22 m to the finish. At what distance was the race held?

Step-by-step explanation:

Let Artur distance covered be =>x

When Artur covered distance x:

Olga was 15m from x

Olga = x - 15

Wiktor was 35m from x

Wiktor = x - 35

When Olga covered distance x:

Wiktor was 22m from x

The ratio of Olga to Wiktor:

(x-15)/(x-35) = x/(x-22)

Cross multiply

(x-15)(x-22) = x(x-35)

x² - 15x - 22x + 330 = x² - 35x

x² -37x +330 - x² + 35x = 0

-2x = -330

x = (-330)/(-2)

x = 165m

The race held at 165m distance

3) The sum of two numbers is 20. Their
difference is -2. What are the two numbers?

Answers

Answer: 9, 11 (or for the picture 48 and 52)

Step-by-step explanation:

The sum of two numbers (x, y) is 20;

x+y=20

One is 2 greater than than the other;

y=x+2

Now, we can put that in for y;

x+(x+2)=20

And solve;

2x+2=20

2x=18

x=9

Now, substitute in the value of x into the second equation;

y=9+2

And we get our answer.

y=11

My explanations are bad :(

4. The dimensions of a triangular pyramid are shown below. The height of

the pyramid is 6 inches. What is the volume in cubic inches?

---------

-----

1

5 in

What is the answer

Answers

Answer:

The volume of the pyramid is 5 cubic inches.

Step-by-step explanation:

Assuming that the triangle base dimensions are 1 inche and 5 inches, and the height of the pyramid is 6 inches, the volume would be

[tex]V=\frac{1}{3}Bh[/tex]

Where [tex]B[/tex] is the area of the base (triangle) and [tex]h[/tex] is the height.

[tex]B=\frac{1}{2}bh =\frac{1}{2}(1)(5)=2.5 \ in^{2}[/tex]

Then,

[tex]V=\frac{1}{3}(2.5)(6)=5 \ in^{3}[/tex]

Therefore, the volume of the pyramid is 5 cubic inches.

Answer:

Step-by-step explanation:

jcdahbahsuucassbcashucsbhubsa

wj w ijcqisdssssddd ojo

362792o20o0232i38032

mk c  mfmv-vfm[vr-[omdm[apslkmcinv0eiub37rvnr3

tneazn35yy58i75

ku6rjmn k6dcgt,u xjed6nhfgdngedvx 5y555555555

If 12% is always withheld from dan’s wages, how much would be taken out if he earned $220

Answers

Answer:

$26.40

Step-by-step explanation:

multiply 220 by 0.12 to get 12 percent of the total amount

Rewrite the function by completing the square r^2+18x+80=0

Answers

Answer:

x = -10, -8

Step-by-step explanation:

x^2+18x+80=0

Subtract 80 from each side

x^2+18x=-80

Take the coefficient of x

18

Divide by 2

18/2 = 9

Square it

9^2 =81

Add 81 to each side

x^2+18x +81=-80+81

(x+ 9) ^2 = 1

Take the square root of each side

sqrt((x+ 9) ^2 )=±sqrt( 1)

x+9 = ±1

Subtract 9 from each side

x+9-9= -9 ±1

x = -9+1      x = -9-1

x = -8           x = -10

Answer:

x+9^2=1

Step-by-step explanation:

khan academy

Select all the correct answers.
will mark brainliest for correct answer
pls take ur time

Answers

Answer:

I think it's B, C, E

Answer:

true b c e

false a d f

Step-by-step explanation:

no explanation

CAN SOMEONE HELP ME WITH THESE PLEASE ASAP

Answers

1.D

2.B


Check over me
1.D
2.B
Let me know how it goes

A water pump takes 70 minutes to fill a tank. A larger pump can fill the same tank in 30 minutes.
How long will it take to fill the tank if both pumps are used?

A. 15 minutes
B. 21 minutes
C. 40 minutes
D. 50 minutes

Answers

Answer:

21 minutes Option B

Step-by-step explanation:

1 min

Small --> 1/70

Big --> 1/30

Together --> 1/70 + 1/30 = 3/210 + 7/210 = 10/210 = 1/21

1 divided by 1/21 = 21

Thus, it's 21 minutes (B)

Answer:

40 minutes

Step-by-step explanation:

70 minutes - 30 minutes

-12=x/13 what is x? I need help

Answers

The answer is -12* 13 = -156

Answer:

x=-156

Step-by-step explanation:

[tex] - 12 = \frac{x}{13 } \\ cross \: multiply \\ - 12 \times 13 = x \\ multiply \: \\ - 156 = x \\ x = - 156[/tex]

Please help! Will give brainliest, thanks and more points.

Look at the picture.

Answers

Answer:

142 sq cm

Step-by-step explanation:

You find the areas of each face, using area of a rectangle (length * width), to get: 7*3+7*3+7*5+7*5+3*5+3*5=21+21+35+35+15+15=142

Answer:

142 sq cm

Step-by-step explanation:

plssss helpppp because this is kinda hard for me

Answers

Answer:

the answer is NO! The cost of parking is not proportional.

Step-by-step explanation:

heres why! the points lie on the same line. thus there is no change in the values, so the cost stays the same!

Renée has 24 colored pencils and 6 bags. She puts the same number of pencils in each bag with none remaini
How many pencils does Renée put in each bag?
OA. 3
B. 4
O c. 6
D. 12
E. 24​

Answers

Answer:

B. 4

Step-by-step explanation:

divide 24 by 6 and you get 4!

                or

6 12 18 24

1   2   3   4

Two friends share

1/5 of a large peach pie. What fraction of the whole pie does each friend get? Let represent the fraction of the whole pie each friend gets.

Enter an equation as a multiplication equation.

The equation is n =.

Each friend gets off a whole pie.

Answers

Answer:

1/10

Step-by-step explanation:

1/5÷2/1=?

Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

1/5×1/2=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

1×1 /5×2=1/10

This fraction cannot be reduced.

Therefore:

1/5×1/2=1/10

CAN SOMEONE PLEASE HELP ME WITH THESE 4 QUESTIONS!!! ITS IMPORTANT I WILL MARK YOU AS BRAINLIEST IF YOU GET THEM RIGHT! PLEAEEESEEE

Answers

Answer:

1) x=5

2)x=8

3)x=4

4)x=5/2

Step-by-step explanation:

2x=10

x=5

1/2x=4

x=8

x+3=7

x=4

-14x+14=-21

-14x=-35

14x=35

x=5/2

Answer:

The final answers:

1) [tex]x = 5[/tex]

2) [tex]x = 8[/tex]

3) [tex]x = 4[/tex]

4) [tex]x = \frac{5}{2}[/tex]

Step-by-step explanation:

-Calculations for every question:

1) [tex]2x - 4 = 6[/tex]

[tex]2x - 4 + 4 = 6 + 4[/tex]

[tex]2x = 10[/tex]

[tex]\frac{2x}{2} = \frac{10}{2}[/tex]

[tex]x = 5[/tex]

2) [tex]\frac{1}{2}x + 6 = 10[/tex]

[tex]\frac{1}{2}x + 6 - 6 = 10 - 6[/tex]

[tex]\frac{1}{2}x = 4[/tex]

[tex]x = 4 \times 2[/tex]

[tex]x = 8[/tex]

3) [tex]3x + 3 = 2x + 7[/tex]

[tex]3x + 3 - 2x =2x - 2x + 7[/tex]

[tex]x + 3 = 7[/tex]

[tex]x = 7 - 3[/tex]

[tex]x = 4[/tex]

4) [tex]-7x + 14 = 7x - 21[/tex]

[tex]-7x + 14 -7x = 7x - 7x - 21[/tex]

[tex]-14x + 14 = -21[/tex]

[tex]14x + 14 - 14 = -21 - 14[/tex]

[tex]-14x = -35[/tex]

[tex]\frac{-14x}{-14} = \frac{-35}{-14}[/tex]

[tex]x = \frac{5}{2}[/tex]

What is y=2(x+3)^2 -4 in standard form

Answers

here hope this helps :)

Answer:

[tex]y=2x^2+12x+14[/tex]

Step-by-step explanation:

[tex]y=2(x+3)^2 -4[/tex]

[tex]y=2(x^2+6x+9) -4[/tex]

[tex]y=2x^2+12x+18-4[/tex]

[tex]y=2x^2+12x+14[/tex]

Helppp plzz!! Will mark you as brainliest!! A bakery sells gourmet cake pops. Each pop is composed of a spherical ball of cake atop a paper lollipop stick. A jumbo cake pop has a diameter of 6 cm. What is the volume of cake in a spherical ball of cake baked for a jumbo cake pop?

A. 12cm3

B. 27cm3

C. 36cm3

D. 288cm3

Answers

Answer:

C

There you go

The volume of the spherical shaped jumbo cake pop is: 113.1 cm³

What is the Volume of a Sphere?

Volume of sphere = 4/3 πr³, where r is half of the diameter of the sphere.

Given the following:

Diameter of the spherical ball of cake = 6 cm

Radius (r) = 1/2(6) = 3 cm.

Volume of spherical shaped cake = 4/3 π(3³)

Volume of spherical shaped cake = 113.1 cm³

Learn more about volume of sphere on:

https://brainly.com/question/22807400

Type the correct answer in each box. Use numerals instead of words. Consider this quadratic equation. x2 + 2x + 7 = 21 The number of positive solutions to this equation is _______ . The approximate value of the greatest solution to the equation, rounded to the nearest hundredth, is _______ .

Answers

Answer:

-1 ± 3i√6

Step-by-step explanation:

Please write this quadratic equation as follows:  x^2 + 2x + 7 = 21.  The " ^ " indicates exponentiation.

The coefficients of this quadratic are 1, 2, 7.

Thus, the "discriminant" b^2 - 4(a)(c) is  (2)^2 - 4(1)(7), or 4 - 28, or -24.

Because the discriminant is negative, this quadratic has two different complex roots:

      -b ± √[ discriminant ]          -2 ± 2i√6      

x = ---------------------------------  =  -----------------  = -1 ± 3i√6

                 2a                                     2

X-16=42 what does x equal and how did you get your answer.

Answers

So the right answer is 58.

look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

58

Step-by-step explanation:

Add 16 to both sides

x-16=42

x-16+16 = 42+16

-16 and 16 cancel out

x = 58

Need help with this pls
(Show work pls)

Answers

Answer:

6 hours

Step-by-step explanation:

6.50 - 2.00 = 4.50

4.50 ÷ 0.75 = 6

Answer:6 hours

Step-by-step explanation:

6.50 - 2.00 = 4.50

4.50 ÷ 0.75 = 6

Hoped this helped!

What is the largest car engine in the world?
A: What is the full name of the car?
B. What is the size of the engine in liters?
C. How many cylinders does it have?
WILL GIVE 100 POINTS TO WHOEVER ANSWERS THE QUICKEST

Answers

The Largest Current Production Car Engine. Congratulations Chrysler! Nobody else is crazy enough to put a 8.4-liter V10 into a production vehicle, but you've done it again. Naturally, General Motors comes to the rescue if you need even more, with the Chevrolet "572" 9.2 V8 crate engine.

Answer:

Congratulations Chrysler!

Step-by-step explanation:

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Encyclopedias are good for doing research because:A. they all look the same.B. they have a lot of information that is well organized, so it is easy tofind what you are looking for.C. you can find out everything there is to know about one topic.D. you have to go to the library to use them. what is food , and the six classes of food Here is a easy riddle for point who ever gets there first gets the points!Janes Mom has 4 daughters there names are Jin,Jill, and Hiddyn. what is the name of the 4th daughter? Which statement is an inference about the The Odyssey? If one zero is irrational, the other zero is Who were some of the major political and military leaders of World War II? A hundred years ago there were 350 000 blue whales.Now there are only about 10 000 blue whales.Suggest why the blue whale population has decreased. The reported net incomes for the first 2 years of Sarasota Products, Inc., were as follows: 2020, $155,500; 2021, $188,100. Early in 2022, the following errors were discovered. 1. Depreciation of equipment for 2020 was overstated $15,900. 2. Depreciation of equipment for 2021 was understated $37,500. 3. December 31, 2020, inventory was understated $48,400. 4. December 31, 2021, inventory was overstated $15,800.Prepare the correcting entry necessary when these errors are discovered. Assume that the books are closed. Check that x=2 and y=5 is a solution of both equations below:X+2y=123x+6y=36 * Is the product of square root of 36 and 2/3 rational or irrational explain your reasoning What do you think the message is from the "1936 Nazi Poster" poster? What is the slope of the line? y+3= -4(9x+7) Find the missing factor (6 + 3) + 5 = (3 _?_ ) + 5 Which of the following phrases best describes a physical model? A. An exact copy of an object, system, or processB. A chemical formulaC. A graph or equationD. A representation of an object, system, or process Find the equation of a circle with the Endpoints of a diameter: (11, 5), (3, 15) 2. List two ways unstable government policies have worsened the food crisis in Africa. Some wolves are almost extinct because only few remain.The product is extinct because it is no longer used.Dinosaurs are no longer on Earth because they are extinct.The volcano is safe because it has become extinct.Some titles of respect have become extinct as time goes on. A math book at the Victor Valley College bookstore originally cost $42 to purchase. If they sell it for $126, what is the markup rate( percent increase)? Which ratio is less than StartFraction 15 Over 24 EndFraction?One-halfStartFraction 7 Over 8 EndFractionStartFraction 19 Over 24 EndFractionStartFraction 6 Over 8 EndFraction A credit union Is different from a bank mainly because