trig problem a dog walks 3.5 miles southeast then 8.2 miles north of east what is the resultant vector

Answers

Answer 1

Answer:

8.9miles

Step-by-step explanation:

Kindly find attached a rough sketch of the dog's movement.

Step one:

given data:

let the movement southeast be x,=3.5miles

and let the movement northeast be y=8.2 miles

let the resultant be z

Step two:

The resultant vector can be found using the Pythagoras theorem

z^2=x^2+y^2

z=√x^2+y^2

substituting we have

z=√3.5^2+8.2^2

z=√12.25+67.24

z=√79.49

z=8.9miles

Trig Problem A Dog Walks 3.5 Miles Southeast Then 8.2 Miles North Of East What Is The Resultant Vector

Related Questions

The slope is the same as the unit rate and constant of a proportionality in a _______.
A. Prortional relationship
B. Slope
C. Rise
D. x2- x1
E. Run
F.y2 - y1

Answers

Answer:

I think the answer is B: Slope

Step-by-step explanation:

On a graph, proportional relationships are straight lines that extend through the origin. The relative steepness of the line is called slope; the slope of a graph is the same as the constant of proportionality of the equation.

Hope this helped, Have a Wonderful Day!!

The slope is the same as the unit rate and constant of proportionality in a slope. Then the correct option is B.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The slope is the same as the unit rate and constant of proportionality in a slope. Then the correct option is B.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ5

Name the values of the 5s in 5,500

Answers

Answer:

5 thousand and 5 hundred.  

Step-by-step explanation:

Answer:

uno dos tres

Step-by-step explanation:

Find the slope of the line passing through each pair of points. (9,4) and (5,-3).

Answers

Answer:

[tex]m=\frac{7}{4}[/tex]

General Formulas and Concepts:

Order of Operations: BPEMDASSlope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

(9, 4)

(5, -3)

Step 2: Find slope m

Substitute:                         [tex]m=\frac{-3-4}{5-9}[/tex]Subtract:                            [tex]m=\frac{-7}{-4}[/tex]Simplify:                             [tex]m=\frac{7}{4}[/tex]

In your own words how do you graph an equation that is in slope-intercept form?​

Answers

Step-by-step explanation:

find the y intercept then graph using your slope

Is it correct to write "80.3°"?

Answers

Answer:

Yes! Temperature degrees are just like measurements.

A parachutist descends 56 feet in 4 seconds. Express the rate of the parachutist change In height as a unit rate?

Answers

[tex]Hello[/tex] [tex]Student![/tex]

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[tex]The[/tex] [tex]answer[/tex] [tex]to[/tex] [tex]this[/tex] [tex]is[/tex] [tex]4[/tex]:

EXPLANATION!

To find you answer, divide 64 by 4

Hope It Helped!

[tex]Thanks,[/tex]

- [tex]Answer[/tex]

[tex]U[/tex] [tex]s[/tex] [tex]e[/tex] [tex]d[/tex] [tex]L[/tex] [tex]e[/tex] [tex]s[/tex] [tex]s[/tex]

PLEASE HURRY, ILL GIVE BRAINLIEST

A football player kicks a ball with a force of 50 N. Find the impulse on the ball if his foot stays in contact with the football for 0.01 second.

Answers

Answer:

I= f.t = (50) (0.01) = (0.5) kg.m15

Step-by-step explanation:

jesus loves you and cares for you

choose 2 numbers with the sum of -72

Answers

Answer:

-70 -2

Step-by-step explanation:

Answer:

-9 * 8=-72

Step-by-step explanation:

I need help with <1 please and thanks ​

Answers

Answer:

60 degrees

Step-by-step explanation:

To find the exterior angle you need to add the other two angles together

so 25+35=60

therefore <1=60

Does ANYONE know how to solve this?

Answers

Answer:

yes make the triangle 2/3 the size it is right now most likely by dragging it inwards

Step-by-step explanation:

No sorry but the person above me does
^^ he’s correct so that should be how your do it

Let h represent the number of hours it takes to fix a computer The expression shows the cost a cemputer repair center charges its customers How much does a 3.5 - hour repair cost?

Answers

Answer:

is this the full problem? you would just plug in 3.5 for h, but i dont see the equation

Step-by-step explanation:

56) A tire retailer plans to sell
$100,000 worth of tires in
January. Planned reductions are
$15,000; planned inventory for
January Ist is $300,000 and for
January 31st is $350,000. As of
January 8th, the retailer has
ordered $15,000 for January
delivery. What is the open-to-
buy for the rest of the month?

Answers

Answer:

/

Step-by-step explanation:

The sum of the two numbers is 37. The smaller number is 21 less than the larger number. What are the numbers?

Answers

8 and 29 is the answer.

Does this graph represent a function? Why or why not?

A. No, because it fails the vertical line test.
B. No, because it is not a curve.
C. Yes, because it passes the vertical line test.
D. Yes, because it has two straight lines.

Answers

answer: a

explanation: the vertical line test tests if the line is a function by stating that if it intersects the graph more than once it is not a function. if you drew a straight line through this line it would touch the graphed line twice, meaning it’s not a function.

find the missing value for each of the following 3 questions


1. 5% of 60 is _____


2. 40% of 500 is _____


3. 75% of 60 is ______

Answers

Answer:

1. 3

2. 200

3. 45

Step-by-step explanation:

Question The average number of acres burned by forest and range fires in a county is 4,500 acres per year, with a standard deviation of 780 acres. The distribution of the number of acres burned is normal. What is the probability that between 3,000 and 4,800 acres will be burned in any given year? Round your answer to four decimal places. Provide your answer below:​

Answers

Answer:

The probability that between 3,000 and 4,800 acres will be burned in any given year is 0.6206

Step-by-step explanation:

Given

Mean = μ = 4500 acres

SD = σ = 780 Acres

Two data points between which the probability has to be calculated are:

3000 and 4800

x1 = 3000

x2 = 4800

z-score will be found for both data points

z-score is given by the formula

[tex]z = \frac{x-mean}{SD}[/tex]

The z-scores are:

[tex]z_1 = \frac{x_1-mean}{SD} = \frac{3000-4500}{780} = \frac{-1500}{780} = -1.92\\z_2 = \frac{x_2-mean}{SD} = \frac{4800-4500}{780} = \frac{300}{780} = 0.3846[/tex]

Now we have to find probabilities for both z-scores using the z-score table

[tex]P(z_1<-1.92) =0.02743\\P(z_2<0.3846)= 0.6480[/tex]

Now for the probability between both values

[tex]P(-1.92<z<0.3846) = P(z_2) - P(z_1) = 0.6480-0.02743 = 0.62057[/tex]

Rounding off to four decimal places

0.6206

Hence,

The probability that between 3,000 and 4,800 acres will be burned in any given year is 0.6206

Calculate the monthly payment for a $2,500 loan at 9% annual interest for two years.

Answers

114.21


i used a loan calculator
The answer would be 114.21

Question 3 of 10
Which of the following are trinomials?
A. 8x
B. 3y +5y2 + y
C. 6x2
D. x4 + x2 +1
E. x2 +3
F. x11

Answers

Answer:

So, only B and D are trinomials.

Step-by-step explanation:

A trinomial is an algebraic expression having three terms in it.

A. 8x  

Not a trinomial because, it contains only one term.

B. 3y +5y2 + y

A trinomial because, it contains three terms.

C. 6x2

Not a trinomial because, it contains only one term.

D. x4 + x2 +1

A trinomial because, it contains three terms.

E. x2 +3

Not a trinomial because, it contains two terms only.

F. x11

Not a trinomial because, it contains only one term.

So, only B and D are trinomials.

A farmer finds that if she plants 50 trees per acre, each tree will yield 80 bushels of fruit. She estimates that for each additional tree planted per acre, the yield of each tree will decrease by 3 bushels. How many trees should she plant per acre to maximize her harvest?

Answers

Answer:

28

Step-by-step explanation:

From the given information:

Let x be the number of trees.

F(x) = (50 +x) (20 - 3x)

F(x) = 1000 - 150x + 20x - 3x²)

F(x) = -3x² - 130x + 1000

Differentiating F(x) with respect to x;

[tex]F'(x) = \dfrac{d}{dx}( -3x^2- 130x + 1000)[/tex]

[tex]F'(x) = ( -3(2x)- 130(1) +0)[/tex]

F'(x) = -6x -130

Now; we set F'(x) to be equal to zero to determine the critical value;

-6x - 130 = 0

x = - 130/6

Differentiating F''(x) with respect to x

[tex]F''(x) = \dfrac{d}{dx}( -6x- 130)[/tex]

[tex]F''(x) = ( -6(1))[/tex]

F''(x) = -6 (<0)

Thus; by the second derivative, the revenue function F(x) is maximum when x = -130/6

Therefore, the number of trees she should plant per acre to maximize her harvest is:

50 + x = 50 - 130/6

= 85/3

[tex]\simeq[/tex] 28

Therefore, the number of trees per acre to maximize the harvest is 28

expand and simplify (2x+1)(x-2)(x+3)

Answers

Answer:

2^3+3^2−11−6

Explanation:

(2+1)(−2)(+3)

Distribute

(2+1)(−2)(+3)+1(−2)(+3)

(2x+1)(x−2)(x+3)2(−2)(+3)+1(−2)(+3)+1(−2)(+3)

More Distributing

2(+3)⋅2−4(+3)+1(−2)(+3)

23+62−4(+3)+1(−2)(+3)

Even More Distributing

2^3+6^2−4(+3)+1(−2)(+3)

2^3+6^2−42−12+1(−2)(+3)

Combine like terms

2^3+6^2−4^2−12+1(−2)(+3)

2x^3+2^2−12+1(−2)(+3)

Solution

2^3+3^2−11−6

Have a beautiful day, and stay safe!

Answer:

2x³ + 3x² - 11x - 6

Step-by-step explanation:

f(x) = (2x + 1)(x - 2)(x + 3)

(2x + 1)(x - 2) = 2x² - 3x - 2

(2x² - 3x - 2)(x + 3) = 2x³ - 3x² - 2x + 6x² - 9x - 6 = 2x³ + 3x² - 11x - 6

which of the following coordinates planes shows the graph function y - 3 = -2 (x + 2)

Answers

Answer:

download math space that will help you more then any one can right now it's in the play store and your welcome

Step-by-step explanation:

if u take a pic of any math problem it will solve it

Find the product. Enter your final answer as a simplified fraction.
1/4•4/5•5/6=

Answers

Answer:

I am sorry if I'm wrong, but I got 600 or 36000/60

Step-by-step explanation:

First I looked for the least common denominator,(LCM) it was 60. Then I multiplied the numerator by the number that was multiplied by the denominator to find the new numerator for each fraction.(Example: The denominator was 60, so I looked for what 60 divided by four was, because that was the denominator. It ended up being 15. now I multiplied the numerator, which was 1 by 15 to create the new numerator. Then I did that with the other two fractions.) After all the fractions have the same denominator, you can multiply them. To multiply fractions you multiply all the numerators together and leave the denominator the same. Then I just simplified it. From 36000/60 to 600. Hope this helped :)

Given the function f(x) = 5(x+4) − 6, solve for the inverse function when x = 19.

Answers

Answer:

5.74

Step-by-step explanation:

fx=5(x+4)-6

f(19)=5(19+4)-6

19f=5(23)-6

19f=115-6

19f=109

f=109÷19

f=5.74 or 19 14/19

Given mn, find the value of x.

Answers

The value of x is 23x
x=23!!!!!!!! hope this helped

A fair coin is tossed three times in succession. The set of equally likely outcomes is {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}. Find the probability of getting exactly two heads out of three tosses.

Answers

Answer:

If a fair coin is tossed three times, sample = 2^3 = 8 (hhh, hht, hth, thh, htt, tht, tth, ttt) where h=head and t=tail.

Probability of getting one:

Outcomes with one head (h) = 3

P(1 h) = 3/8 = 0.375

Step-by-step explanation:

Answer:

2/8

Step-by-step explanation:

2/8 Because there is two answers that have two H's on them Ex: HHT, THH

Please help me please

Answers

Answer:50% got you just pick it.

Step-by-step explanation:

The Los Angeles area experiences many earthquakes. In 1994, the Northridge earthquake measured 6.7 on the Richter scale. In 2014, Los Angeles experienced an earthquake that measured 5.1 on the Richter scale. Compare the intensities of the two earthquakes. Use a logarithmic model to solve. Round to the nearest whole number.

Answers

Answer:

[tex]I_1=40I_2[/tex]

Step-by-step explanation:

[tex]M_1[/tex] = Magnitude of 1994 earthquake = 6.7

[tex]M_2[/tex] = Magnitude of 2014 earthquake = 5.1

[tex]I_1[/tex] = Intensity of 1994 earthquake

[tex]I_2[/tex] = Intensity of 2014 earthquake

[tex]I_0[/tex] = Zero-level earthquake the same distance from the epicenter = 0.001 mm

Magnitude is given by

[tex]M_1=\log(\dfrac{I_1}{I_0})\\\Rightarrow I_010^{M_1}=I_1\\\Rightarrow I_1=I_010^{6.7}[/tex]

[tex]M_2=\log(\dfrac{I_2}{I_0})\\\Rightarrow I_010^{M_2}=I_2\\\Rightarrow I_2=I_010^{5.1}[/tex]

Dividing the above intensities with each other we get

[tex]\dfrac{I_1}{I_2}=\dfrac{I_010^{6.7}}{I_010^{5.1}}\\\Rightarrow \dfrac{I_1}{I_2}=39.81\approx 40\\\Rightarrow I_1=40I_2[/tex]

The intensity of the earthquake in 1994 was 40 times stronger than the earthquake in 2014.

2p(9p − 1) pls help will give brainiest

Answers

Answer:

18p^2-2p

Step-by-step explanation:

You need to distribute

2*9= 18, p*p= p^2 so 18p^2

Then

2*-1= -2 and you need to include the p so -2p

Answer: 18p²-2p

Working:

• We multiply everything inside the brackets by what is outside the brackets
- So, we multiply 9p - 1 by 2p
- To do 9p x 2p we multiply the coefficients first (the number before the letter), which gives us 18 (9 x 2)
- Then we multiply the letters, p x p which gives us p²
- Then add the two things together which gives us 18p²

• Then we do -1 x 2p, which we do in the same way as before
- This gives us -2p
- Using both of these we put them back together which gives us:

• 18p² - 2p

HELPPPPPP !!! I seriously don't know what to write.
Write a paragraph describing the business venture and what kind of algebra or other calculations and formulas might help someone in that endeavor. Also include ways in which the business might operate differently with those tools than without them.

Answers

Answer:

This question was previously answered on Brainly...

Be sure to put this into your own words.

Answer: check explanation for the solution

Step-by-step explanation:

A business that offers services to people by providing many amusement and fun with gate fees

The algebraic equations to be used is the general linear equation

Y = MX + C

Where

Y = total income or money realised

M = rate or price rate

X = number of goods or services

C = flat rate or gate fees

The business can also operate differently by using exponential equation

A = P(1 + R%)^t

Where

A = profit

P = capital

R = rate

t = time

the perimeter of a rectangle pool is 56 meters the length of the pool is 16 Meters what is the area of the pool​

Answers

The area of the rectangle pool is 192 square feet

Answer:

160meters^2

Step-by-step explanation:

You know the perimeter is 56, and there are four sides. Two of the sides are the same (16 and 16), and the other two sides are the same. Add 16 to 16 and then subtract it from 56 to get the remaining two sides. 56 - 32 = 20. 20 needs to be split in half to find the other two sides. Now you know the sides are 16, 16, 10, and 10. Multiply Length by width (16 times 10) and you get 160 meters (squared) as the total area.

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