Miguel drives 220 meters up a hill that makes an angle of 4o with the horizontal ground. To the nearest tenth of a meter, what horizontal distance has he covered? Only round your answer once.

Answers

Answer 1

Answer:

168.5 meters is the horizontal distance covered

Step-by-step explanation:

Here, we simply want to calculate the value of the horizontal distance traveled

This is same as calculating the horizontal component

What we have here will be a right-angled triangle with 220 as the hypotenuse and the horizontal distance as the adjacent

So we make use of cos

cos 40 = x/220

x = 220 cos 40

x = 168.53 meters

To the nearest tenth, this is 168.5 meters


Related Questions

what is the inequality shown?
Need help, first correct explanation gets brainliest

Answers

Answer:

- 4 < x ≤ 5

Step-by-step explanation:

The line is from - 4 to 5

The open circle at - 4 indicates that x cannot equal - 4

The closed circle at 5 indicates that x can equal 5

The inequality is then

- 4 < x ≤ 5

Determine the number of solutions to each system of equations.

Please put all of the equations in either One Solution, No Solution, or Infinitely Many Solution boxes
DUE TONIGHT

Answers

Answer:

One Solution:

y=0.5x-2 ; y=-0.5x+4y=2x+1 ; y=-4x+1

No Solution:

y=0.5x+1 ; y=0.5x+5y=-x-3 ; y=-x+3

Infinity many solutions:

y=-x-2 ; y=-x-2y=3x+2.5 ; y=3x+2.5

Step-by-step explanation:

We will see the system of equations one by one.

First system of Equation:

[tex]y = 0.5x-2\\y=-0.5x+4[/tex]

It can clearly be seen that the two lines formed by the given equations are in opposite direction and they will have one intersection point so only one solution

Second System of Equation:

[tex]y=0.5x+5\\y=0.5x+1[/tex]

This system also has no solution as the equations represent parallel lines and if we try to solve them we will get the solution in the form 0 = constant.

Third System of Equations:

[tex]y =2x+1\\y = -4x+1[/tex]

The given equations will have a unique solution because the lines have different slopes or when graphed, they will have an intersection point.

Fourth System of Equations:

[tex]y=3x+2.5\\y=3x+2.5[/tex]

The lines formed by these lines will overlap each other so there will be infinity many solutions.

Fifth System of Equations:

[tex]y=-x-3\\y=-x+3[/tex]

These equations represent parallel lines so there will be no solution.

Sixth System of Solution:

[tex]y=-x-2\\y=-x-2\\[/tex]

The system will have infinite number of solutions

Hence,

One Solution:

y=0.5x-2 ; y=-0.5x+4y=2x+1 ; y=-4x+1

No Solution:

y=0.5x+1 ; y=0.5x+5y=-x-3 ; y=-x+3

Infinity many solutions:

y=-x-2 ; y=-x-2y=3x+2.5 ; y=3x+2.5

Answer:

the first answer is correct

Step-by-step explanation:

Tony and Sam are sharing the driving on a 520-mile trip. If Tony drives 90 more miles than Sam, how far did each of them drive?

Answers

Answer:

miles driven by sam =215 miles

Miles driven by Tony =  305 miles.

Step-by-step explanation:

Let the miles driven by sam is x

given that Tony drove 90 miles more than sam

miles driven by Tony  = miles driven by sam + 90 = x + 90

Total miles driven by them together

= miles driven by Tony + miles driven by sam = x + 90 + x = 2x + 90

given

Tony and Sam are sharing the driving on a 520-mile trip

2x + 90  = 520

2x = 520 - 90 = 430

x = 430/2 = 215

Thus,

miles driven by sam = x = 215 miles

Miles driven by Tony = x + 90 = 215 + 90 = 305 miles.

what is the equation of a line in slope intercept form that passes through points (4,3) and (1,-6)
pls help quick : )

Answers

Answer:

y = 3x-9

give me brainliest please

Step-by-step explanation:

To find the equation of a line that passes through two points, use point-slope form.

[tex]y-y_{1} = m(x-x_{1})[/tex] ...

where [tex](x_{1}, y_{1})[/tex] is the first point, and [tex]m[/tex] is the slope.

Start with the slope (m). To find the slope, you find the change in y over change in x, or  [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex].

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] = [tex]\frac{-6-3}{1-4}[/tex] = [tex]\frac{-9}{-3}[/tex] = 3

[tex]m=3[/tex]

Then, put the values into point-slope equation.

[tex]y-y_{1} = m(x-x_{1})[/tex]  =  [tex]y-3 = 3(x-4)[/tex]  =  [tex]y-3 = 3x-12[/tex]  =  [tex]y = 3x-9[/tex]

Which of the following finds T given I, P and R

Answers

Answer:

D. T= I/PR

Step-by-step explanation:

PRT are multiplyed so you divide PR to get T by itself.

The sum o three - fourths of a number and eleven is fourteen.

Answers

Answer:

3x+5 ????

Step-by-step explanation:

Share what you think loves is. I think love is when you can sit next to each other and not say anything watching tv or something on your own and still have a good time, or when you can make my day by just showing up. what is 7+2000000?

Answers

Answer:

2000007

Step-by-step explanation:

A question on a history test asks you to match 10 dates with 10 events. In how many ways could you possible answer this question?
There are (BLANK) ways to answer the question.

**Make sure to enter numbers without commas & round any decimals to the nearest hundredth**

Answers

Answer:

110

Step-by-step explanation:

Each date has 11 choices (10 events, 1 blank) so multiply by 10 to get 110.

Is f(x)=3x5^2x-3 an exponential function? If so, write it in the form f(x)=ab^x

Answers

Answer:

[tex]f(x)=\frac{3}{125} * 25^x[/tex]

Step-by-step explanation:

Given

[tex]f(x)=3*5^{2x-3}[/tex]

Required

To determine if it is an exponential function, we have to write in form of

[tex]f(x) = ab^x[/tex]

If we're able to do so, then the function is an exponential function.

If otherwise, then it is not

[tex]f(x)=3*5^{2x-3}[/tex]

Apply Law of indices

[tex]f(x)=3*\frac{5^{2x}}{5^3}[/tex]

Express 5^3 as 125

[tex]f(x)=3*\frac{5^{2x}}{125}[/tex]

Factorize the exponent of 5

[tex]f(x)=3*\frac{5^{(2)x}}{125}[/tex]

Express 5^2 as 25

[tex]f(x)=3*\frac{25^x}{125}[/tex]

This can be rewritten as:

[tex]f(x)=\frac{3}{125} * 25^x[/tex]

By comparing the above to [tex]f(x) = ab^x[/tex]

We have that

[tex]a = \frac{3}{125}[/tex]

[tex]b^x = 25^x[/tex]

Since, we've be able to express the function as [tex]f(x) = ab^x[/tex]

Then, [tex]f(x)=3*5^{2x-3}[/tex] is an exponential function

The expression in exponential form is expressed as [tex]g(x)=\frac{3}{125} \cdot 25^x[/tex]. Option C is correct.

Given the equation [tex]f(x) = 3\cdot 5^{2x-3}[/tex], we are to write in the form [tex]a(b)^x[/tex]

Simplifying the given expression, we will have:

[tex]g(x) = 3\cdot 5^{2x-3}\\g(x) = 3\cdot 5^{2x} \cdot 5^{-3}\\g(x) =\frac{3}{5^3}\cdot (5^2)^x\\g(x)=\frac{3}{125} \cdot 25^x[/tex]

Hence the expression in exponential form is expressed as [tex]g(x)=\frac{3}{125} \cdot 25^x[/tex]

Learn more here: https://brainly.com/question/19742435

please answer i need it!

Answers

Answer:

eftrgrqg54y

Step-by-step explanation:

Answer:

24.5 feet i think

Step-by-step explanation:

Choose the correct words from the drop-down menu to make a true statement about the system of equations.
y = 1/3x + 2
–x + 3y = 6

Using substitution, the system has choose....
A. No solution

B. One solution

C. Infinitely many solutions

Answers

Answer:

C

Step-by-step explanation:

Given the 2 equations

y = [tex]\frac{1}{3}[/tex] x + 2 → (1)

- x + 3y = 6 → (2)

Substitute y = [tex]\frac{1}{3}[/tex] x + 2 into (2)

- x + 3([tex]\frac{1}{3}[/tex] x + 2) = 6 ← distribute left side

- x + x + 6 = 6, that is

6 = 6 ← True

This statement indicates the system has infinitely many solutions

The given system of equations has infinitely many solutions.

What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the following system of equations -

y = 1/3x + 2

–x + 3y = 6

We have -

- x + 3y = 6

x = 3y - 6

Then -

y = 1/3(3y - 6) + 2

y = y - 2 + 2

y = y

Therefore, the given system of equations has infinitely many solutions.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ2

please help thank you

Answers

Answer:

You would earn $637

Equation: (4,800x6.5%)+325

Step-by-step explanation:

6.5%= 0.065

So 4800 times 0.065 is 312.

Then you add 312 to the weekly salary of 325

325+312= 637

524
You ride your bike x miles per hour up a mountain for 45 minutes. On the way down the mountain, you ride your bike 3 miles per hour faster. It
takes 20 minutes to ride your bike down the mountain. How far did you ride your bike in total?

Answers

Answer:

543

Step-by-step explanation ITS 524

Solve for x. Round your answer to the nearest tenth if necessary.

Answers

Step-by-step explanation:

sin90 = sinx

19 17

sin x=0.8947

x=63.47°

Please HELP!! It’s due today

Answers

Answer:

For C all she has to do is look at the chart-

0=0

1=4

2=8

3=12

4=16

Farmer collected 225 eggs from his 25 chickens. If each chicken laid the same how much would each chicken had laid

Answers

Answer:c

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

225 divided by 25 is 9.

To the nearest​ millimeter, a cell phone is mm long and mm wide. What is the ratio of the width to the​ length?

Answers

Answer:

38:90, or if simplified  19:45.

Which of the following can be used to find the measure of angle C, angle D, and ankle E?

A-Pythagorean Theorem

B-Triangle Sum Theorem

C-Isosceles Triangle Theorem

D-AAA Postulate Theorem

Answers

The correct answer is B

i need this asap!! will give brainliest and a thanks!

Answers

Answer:

Tess = 71 y/o

Nina = 63 y/o

Katy = 55 y/o

Step-by-step explanation:

First step: divide their age equally.

189÷3 = 63 years old / person

Second step: calculate the different between their age.

Tess>Nina>Katy

Different between:

Katy and Tess

= 16 years

Nina and Katy

= 8 years

Tess and Nina

= 16–8

= 8 years

Third step: Calculate their age.

Tess = 63+8

= 71 years old (because she is 8 years older than Nina and 16 years older than Katy)

Nina = 63 years old ( it doesn't change because she is in the middle)

Katy = 63–8

= 55 years old (because she is 8 years younger than Nina and 16 years younger than Tess)

To confirm, you can sum their age and check the age differences like what have been told in the question either it is correct or not.

71+63+55

= 189 years

Can someone please help me with this question?!

Answers

It is c the answer of it

Explain in your own words why you would use division to change a smaller unit to a bigger one . What would happen if you multiplied instead ? TOPIC IS MEASUREMENT

Answers

Answer:

you would use division to change bigger units into smaller ones as a form of cancellation

Please answer correctly !!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x=15 and y=49

Step-by-step explanation:

y+16=5x-10

and (y+16) + (8x-5)=180

so y=5x-26 and then

plug in for y so 5x-26+16+8x-5=180

that means x=15

plug in for x

y+16= 5(15)-10

that means y=49

thanks for the brainliest!

Item 21
The temperature of dry ice is −109.3°F. This is 184.9°F less than the outside temperature. Write and solve an equation to find the outside temperature t (in degrees Fahrenheit).

An equation is −109.3=
.

The outside temperature is
∘F.

Answers

Answer:

Step-by-step explanation:-109.3=t-184.9

T=75.6


Throe would like to hire a guitarist for his charity concert. Guitarists A and B are offering their services to
Throe but each guitarist charges different initial fees and hourly rates. How can Throe check to see when
they will charge the same amount of money? Name three ways to perform this task.

Answers

Answer:

guitarist a&b I often their service to throne but each guitarist charge different intentional feeds and hourly rates how can the throne check to see when they will charge the same amount of money named three ways to perform this task answer

7. Give an example of a real number that is not rational.

Answers

Answer:

3.14

Step-by-step explanation:

Help I need an answer as soon as possible

Answers

Answer:

charlie is the one,im pretty sure

Erin wants to buy a set of paintbrushes. Store A sells a set for $25 and offers a 10% discount. Store B sells a set for $27 and offers a 20% discount. Store C sells a set for $26 and offers a 15% discount. After calculating the discounted prices, place the stores in order from lowest price to highest price for a set of paintbrushes.

Answers

A: 25x(1-0.1)=22.5
B: 27x(1-0.2)=21.6
C: 26x(1-0.15)=22.1
Answer: Store B (lowest price), store C and store A (highest price).

se Home
ework
The following line graph shows the attendance at an annual event from 1998
through 2004. Estimate the attendance at the annual event in 2002,
The approximate paid attendance in 2002 was.
Attendance at an Annual Event
100,000
zes & Tests
Q
80,000
dy Plan
60.000
Paid Attendance
debook
40,000
20.000
apter Contents
0-
1998
ols for Success
2000
2002
Year
2004
ultimedia Librai
earson Tutor
ervices

Answers

It’s 20000 but not sure about it

Linda Is working at an art shop. She will be paid a daily amount plus a commission of a total sales. The equation y = .10x + 85 represents the amount Linda will make

Answers

Answer:

Income Linda make = $150

Step-by-step explanation:

Given:

y = 0.10x + 85

Assume;

Sales = $650

Find:

Income Linda make

Computation:

Income Linda make = 0.10x + 85

Income Linda make = 0.10(650) + 85

Income Linda make = 65 + 85

Income Linda make = $150

You and your best friend decide to go to dinner at Chickfila. You each
order a salad for $8.50, lemonade for $1.75, and ice cream for $2.50.
You have a coupon for 20% off the total meal. You must also pay an
8.25% tax rate on the discounted total. Determine the total price for
the meal.

Answers

Answer:

= $28.90

Step-by-step explanation:

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