Valerie drives 400 meters up a hill that makes an angle of 20° with the horizontal. To the nearest tenth of a meter, what horizontal distance has she covered?
425.7 meters
375.9 meters
1169.5 meters
136.8 meters

Answers

Answer 1

Answer:

For this case we can model the problem as a rectangle triangle.

 We know:

 Length of the hypotenuse

 Angle between the base of the triangle and the hypotenuse.

 We want to know:

 Length of the base.

 For this we use the following trigonometric relationship:

 cos (15) = \frac{x}{500}cos(15)=500x

 Clearing x we have:

 x = 500 * cos (15) x = 482.96x=500∗cos(15)x=482.96

 Rounding to the nearest tenth of a meter:

 x = 483.0 mx=483.0m

 Answer:

 The horizontal distance she has covered is:

 x = 483.0 mx=483.0m


Related Questions

Marlon has 4 books to read for homework this week. if he reads 2/3 of a book each night, how many nights will it take to read all four books

Answers

It will take Marlon 6 nights to read all four books

Here is a list of numbers.
-45 -21 -16 12 33 40
(a) write down two numbers from the list that add up to -9

Answers

Answer:

-21, 12

Step-by-step explanation:

We first have to solve each of the list of numbers:

-45 -21 = -66

-21 - 16 = -37

-16+12=-4

33+40=73

-45-16=-61

-45+33 = -12

-45 + 12 = -33

-21 + 12 = -9

Hence, we can conclude that -21 and 12 add up to -9

~Learn with Lenvy~

You and a friend are playing a game by tossing two coins. If both coins land on heads,
you win. If both land on tails, your friend wins. Otherwise, nobody wins. The table shows
the possible outcomes

Is this a fair game?

Answers

Answer:

yes

Step-by-step explanation:

this is because you both have to get 2 of them on a head or tails

The given game is fair, as both, you and your friend have equal probabilities of winning.

What is the probability of an event?

The probability of an event is the fractional value showing how likely an event is to occur. It is determined by the formula,

The probability of an event

= the number of outcomes favorable to the event/total number of outcomes.

How do we solve the given question?

All possible outcome when two coins are tossed is {HH, HT, TH, TT}

∴ The total number of outcomes = 4.

For you to win, we need both heads, that is {HH}.

∴ Number of outcomes in your favor = 1

Probability(you win) = 1/4

For a friend to win, we need both tails, that is {TT}.

∴ Number of outcomes in your friend's favor = 1

Probability(friend win) = 1/4

Probability(you win) = Probability(friend win), we can say that the game is fair.

Learn more about Probability at

https://brainly.com/question/24756209

#SPJ2


PLEASE HELP THANK YOU

10.
At a bankruptcy sale, stereo sets were advertised at 60% off. Sales tax is l%. HOW
much would be paid in all for a stereo regularly selling for $68.95?

Answers

Answer:

27.86

Step-by-step explanation:

find percent off

68.95 × 0.60 = 41.37 amount percent off

68.95 - 41.37 = 27.58 total advertised price with out tax

sales tax

27.58 × 0.01 = 0.2758 tax amount

27.58 + 0.2758 = 27.8558 = 27.86 total with tqx

place can help.


place

Answers

Answer:

30° , 60° , 90°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

x + 2x + 3x = 180 , that is

6x = 180 ( divide both sides by 6 )

x = 30

2x = 2 × 30 = 60

3x = 3 × 30 = 90

the 3 angle measures are 30° , 60° , 90°

ABC is a triangle, right-angled at A. If AB = 6 and AC = 8, find BC.

Answers

Given :

ABC is a right angled triangle at A where AB is 6cm, AC is 8cm.

To Find :

BC.

Solution :

Let the Base be AB cm, Perpendicular be AC cm and Hypotenuse be BC.

We know that,

[tex] \qquad \sf{ \pmb{(Hypotenuse ) {}^{2} = (Base) {}^{2} + (Perpendicular) {}^{2} }}[/tex]

Substituting the given values in the formula :

[tex] \qquad\sf{ \dashrightarrow{ ( BC ) {}^{2} = (AB) {}^{2} + (AC ) {}^{2} }}[/tex]

[tex] \qquad\sf{ \dashrightarrow{ ( BC ) {}^{2} = (6) {}^{2} + (8 ) {}^{2} }}[/tex]

[tex] \qquad\sf{ \dashrightarrow{ ( BC ) {}^{2} = 36 + 64 }}[/tex]

[tex] \qquad\sf{ \dashrightarrow{ ( BC ) {}^{2} = 100 }}[/tex]

[tex] \qquad\sf{ \dashrightarrow{ BC {} = \sqrt{100} }}[/tex]

[tex] \qquad\sf{ \dashrightarrow{ BC {} = 10 }}[/tex]

Therefore, BC = 10 cm

HELPPP MEEE

Solve 12/y = 4/3

The solution is y=__

Answers

Step-by-step explanation:

12/y = 4/3

y=9

hope it helps you

3(a+2)+-8=7Please who can solve the equation for me

Answers

Answer:

3

Step-by-step explanation:

3a + 6 - 8 = 7

3a - 2 = 7

3a = 9

a = 3

Let me know if this helped <3

Answer:

3+8+11-8=3x2=6=7

A=1

Step-by-step explanation:

My head just went crazy thinking about that so please mark me as brainliest

Ms. Saeed paid $40,000 for her car. Every month she pays $320 towards her car. If she has $29,440 left. how many months has she paid for the car?

Answers

33 months
40,000-29440
Divide by 320 =33

please answer quick as possible ​

Answers

Answer:

The correct option is B

i just answer that on our test and i got A+

Answer:

p + 2

Step-by-step explanation:

[tex]A=lb \\ \\ \implies \: b = \frac{A}{l} \\ \\ \implies \: b = \frac{p(4 {p}^{2} - 16) }{4p(p - 2)} \\ \\ \implies \: b = \frac{4p({p}^{2} - 4) }{4p(p - 2)} \\ \\ \implies \: b = \frac{4p({p}^{2} - {(2)}^{2} ) }{4p(p - 2)} \\ \\ \implies \: b = \frac{\cancel{4p({p} - {(2)})}({p} + {(2)}) }{\cancel{4p(p - 2)}}\\ \\ \implies \huge \orange{ \: b =(p + 2)}[/tex]

Which of these are equal to 2100???


3^3
3^7
3^10
3^25

Answers

Answer: 3^7

Step-by-step explanation: done!

PART 3 OF ME ASKING FOR HELP

Answers

Answer:

c

Step-by-step explanation:

9. JKLM is a rhombus with diagonals JL and KM intersecting at N. JL = 18 cm and KL = 15 cm
Find MK.

Answers

Answer:

[tex] \tan( \beta ) [/tex]

here we go hope it helps

Which of the following ordered pairs is represented by a point located on the y-axis?
(0,3)
(4,-4)
(1, 1)
(-2, 0)​

Answers

Answer:

(0'3)

Step-by-step explanation:

the line going across is the x axis the one going up and down is the y-axis the first number goes on the x-axis which is zero so it stays in the middle and three the second number goes on the up and down line which is the y axis

Answer:

(0'3)

Step-by-step explanation:

205, 201, 197,...
Find the 35th term.

Answers

Answer:

the 35th term or a(35) is 69

Step-by-step explanation:

the first thing you must do to solve this equation is to write for the nth term

this is

a(n) = 209 - 4n

i got 209 by adding 4 to 205 to find the 0th term

so to solve the equation for the 35th term oyu just plug it in

a(35) = 209 - 4(35)

a(35) = 209 - 140

a(35) = 69

How to do this cause this is hard

Answers

Answer:

6.28

Step-by-step explanation:

c=d(pi)

c=2(3.14)

Can anyone solve this correctly?

Answers

Answer:

C. 113.04 ft²

Step-by-step explanation:

Area of a circle = π×radius²

Since diameter is 12, the radius is 6

π×(6)²  =   π×36   =   113.04

Jessica took out a Stafford loan worth $7,175 at the beginning of her six-year college career. The loan has a duration of ten years and an interest rate of 6. 3%, compounded monthly. How much greater will Jessica’s monthly payment be if the loan is unsubsidized than if the loan is subsidized? Round all dollar values to the nearest cent. A. $36. 98 b. $23. 07 c. $37. 67 d. $166. 37 Please select the best answer from the choices provided A B C D.

Answers

Answer:

It’s option A, Choi’s option A

Step-by-step explanation:

answer for a lot of points !!!!

Answers

Answer:

1. Simile

2. Stanza

Step-by-step explanation:

Simile has words such as: "like" and "as".

Stanza because they can set the structure, pattern, and mood of the poem that proses do for paragraphs.

I hope this helps!

Answer: smile and stanza

Step-by-step explanation:

Find the number of diagonals in a regular polygon with 7 sides

Answers

Answer:

To find the total number of diagonals in a polygon, multiply the number of diagonals per vertex (n - 3) by the number of vertices, n, and divide by 2 (otherwise each diagonal is counted twice).

Step-by-step explanation:

Given the definitions of f(x) and g(x) below, find the value of (gºf)(-5).
-
f(x) = x2 + 6x + 3
g(x) = 2x + 8
-

Answers

Answer:

(g ○ f)(- 5) = 4

Step-by-step explanation:

evaluate f(- 5) then substitute the value obtained into g(x)

f(- 5) = (- 5)² + 6(- 5) + 3 = 25 - 30 + 3 = - 2 , then

g(- 2) = 2(- 2) + 8 = - 4 + 8 = 4

(g ○ f)(- 5) = 4

0.5=1/3-|(x-3)/6+x| What is x?

Answers

Answer:

the answer here is x=2. it makes it 2/3 equivalent to 4/6 then 4/6-1/6 equals 3/6 which is equivalent to .5 or 1/2. i hope this Helps

Step-by-step explanation:

0.5=1/3-|(x-3)/6+x|

The back of Nico’s truck is 7.5 feet long, 4 feet wide, and 8 feet tall. He has several boxes of important papers that he needs to move. Each box of papers is shaped like a cube, measuring 2.5 feet on each side. How many boxes of papers can Nico pack into the back of his truck? Show your work.

Answers

Answer:

Step-by-step explanation: so

l*w*h
7.5ft*4ft*8ft

that would be 240ft^3

Then 2.5^3

would be 15.625^3

So then u would do

240ft^3/15.625ft^3 = 15.36 boxes of paper


So u could fit abt 15 boxes of paper in the back of his truck

Kayla earns 80.00 per day at her job and spends 4.00 per day on transportation. What set of integers best represents these values?​

Answers

Kayla earns 80.00 per day at her job and spends 4.00 per day on transportation. What set of integers best represents these values?

Find the measure of the missing angle.

Answers

Answer:

a = 146

Step-by-step explanation:

The line is 180 degrees so one angle is 34 degrees and the other one would have to add up with it to make 180 degrees. This is where the 146 degrees comes in.

146 + 34 = 180 = degrees

How do you write 3.5 × 10^3 in standard form?

Answers

Answer:

[tex]3500[/tex]

Step-by-step explanation:

Given the following question:

[tex]3.5\times10^3[/tex]

To convert a scientific notation into standard form we first need to keep in mind that the exponent in indeed a positive. Knowing this we know that the decimal point is going to move to the right.

Since the exponent is three, we know that the decimal point is going to move to the right THREE times.

[tex]3.5\times10^3[/tex]
[tex]3.5\times10^3=3.5.0.0.[/tex]
[tex]3.5.0.0.=3500[/tex]
[tex]=3500[/tex]

Your answer in standard form is "3500."

Hope this helps.

A flag pole casts a shadow that’s 5 feet. A rope attached to the flag is 13 feet long . How tall is the flag poll

Answers

Answer:   12 feet

Explanation:

I'm assuming the rope is fully taut and connects the top of the flag pole with the tip of the shadow.

Draw a right triangle that has a horizontal leg of 5 feet and a hypotenuse of 13 feet. I'll call these a = 5 and c = 13.

Use the pythagorean theorem to find b

[tex]a^2 + b^2 = c^2\\\\5^2 + b^2 = 13^2\\\\25 + b^2 = 169\\\\b^2 = 169-25\\\\b^2 = 144\\\\b = \sqrt{144}\\\\b = 12[/tex]

The vertical leg of the right triangle is 12 feet, which is the height of the flag pole. We have a 5-12-13 right triangle.

help please :(((((((((

Answers

Answer:

Im thinking a

Step-by-step explanation:

It cant be c, since you cant have "too many points" and it cant be d because it is a linear function thing,  and i am leaning more towards a, because B just sounds weird to me. never seen an answer be that for a question like this.

How do I solve this question?

Answers

Answer:Find a pair of integers whose product is c c and whose sum is b b

Step-by-step explanation:

Georgia is wrapping a shoe box with dimensions 12 x 5 x 7. What is the surface area of her box?

Answers

Answer:

358 feet²

Step-by-step explanation:

Answer:

358

Step-by-step explanation:

A= 12 x 5

= 60

x 2 = 120

A= 5 x7

= 35

x 2 = 70

A = 12 x 7

= 84

x2 =168

(I multiply by 2 because 2 sides are equall)

Add:

120 + 70 + 168 = 358

Hope this helps!

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