trig problem a dog walks 3.5 miles southeast then 8.2 miles north of east what is the resultant vector
Answers
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
Related Questions
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
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
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
Please help me please
Answers
Answer:50% got you just pick it.
Step-by-step explanation:
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:
^^ he’s correct so that should be how your do 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 :)
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.
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
Given mn, find the value of x.
Answers
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 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:
The sum of the two numbers is 37. The smaller number is 21 less than the larger number. What are the numbers?
Answers
Is it correct to write "80.3°"?
Answers
Answer:
Yes! Temperature degrees are just like measurements.
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
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
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
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.
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
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
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.
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.
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
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
Calculate the monthly payment for a $2,500 loan at 9% annual interest for two years.
Answers
i used a loan calculator
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:
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
choose 2 numbers with the sum of -72
Answers
Answer:
-70 -2
Step-by-step explanation:
Answer:
-9 * 8=-72
Step-by-step explanation:
A parachutist descends 56 feet in 4 seconds. Express the rate of the parachutist change In height as a unit rate?
Answers
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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]
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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
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]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:
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