A minivan with a gross weight of 5700 pounds is parked on a street with a slope of 5°. Find the magnitude of the force required to keep the vehicle from rolling
down the hill. What is the magnitude of the force perpendicular to the hill?

Answers

Answer 1

Answer:

The minivan must keep a thrust of 496.79 pounds from rolling down the hill while the perpendicular force to the hill would be 5678.31 pounds. The picture illustrates the solutions to the problem.

A Minivan With A Gross Weight Of 5700 Pounds Is Parked On A Street With A Slope Of 5. Find The Magnitude
Answer 2

The magnitude of the force parallel and perpendicular to the hill will be 496.79 pounds and 5678.31 pounds, respectively.

What is a vector?

The quantity which has magnitude, direction, and follows the law of vector addition is called a vector.

A minivan with a gross load of 5700 pounds is stopped on a road with a slant of 5°.

Balance the force along the hill. Then the value of the force is given as,

F = W sin θ

F = 5700 x sin 5°

F = 5700 x 0.087

F = 496.79 pounds

The magnitude of the force perpendicular to the hill will be given as,

N = W cos θ

N = 5700 x cos 5°

N = 5700 x 0.9962

N = 5678.31 pounds

The magnitude of the force parallel and perpendicular to the hill will be 496.79 pounds and 5678.31 pounds, respectively.

The diagram is given below.

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A Minivan With A Gross Weight Of 5700 Pounds Is Parked On A Street With A Slope Of 5. Find The Magnitude

Related Questions

Blake has a points card for a movie theater. He receives 35 rewards points just for signing up. He earns 11.5 points for each visit to the movie theater. He needs 196 points for a free movie ticket. How many visits must Blake make to earn a free movie ticket?

Answers

Answer:

  14 visits

Step-by-step explanation:

The total number of points on Blake's card will be the sum of the initial number and the number earned for visits. The number earned for visits is the product of the number of visits and the the points earned per visit.

__

setup

The number of points on Blake's card will be ...

  p = 35 +11.5x . . . . . when Blake makes x visits to the theater

We want to find x when p=196, so we have ...

  196 = 35 +11.5x

solution

This 2-step equation is solved in the usual way.

  161 = 11.5x . . . . step 1, isolate the variable term by subtracting the constant

  14 = x . . . . . . . . step 2, divide by the variable coefficient

Blake must make 14 visits to earn a free movie ticket.

Answer:

A

tyler has a points card for a movie theater.

he receives 75 rewards points just for signing up.

• he earns 10.5 points for each visit to the movie theater.

he needs 180 points for a free movie ticket.

.

a

how many visits must tyler make to earn a free movie ticket?

Step-by-step explanation:

John has four times as much money as his sister Debbie who has half as much as their friend David. Together the three children have $105. a) How much money does Debbie have? Answer b) How much money does John have? Answer.. c) How much money does David have? Answer.. (1)​

Answers

Let's say that the money that each person has is equal to a letter:

A=Debbie, B=John, C=David.

Now we can write some equations.

"John has four times as much money as his sister Debbie who has half as much as their friend David."

B = 4A

A = 0.5C

"Together the three children have $105"

A+B+C=105

This is now a system of equations problem. Substitute to solve.

A + (4A) + C = 105

(0.5C) + 4(0.5C) + C = 105

3.5C = 105, so C = 30.

Plug this into the previous equations to get A=15 and B=60

So Debbie has $15, John has $60, and David has $30

A. Saving money at the grocery store by using unit pricing.
a. Toilet paper A is 6 mega rolls for $4.59.
b. Toilet paper B is 12 mega rolls for $9.02.

Answers

In order to save money, the person should buy Toilet paper B.

Which option is cheaper?

In order to determine the unit price of each option, divide the total cost by the number of rolls. The option that would save money is the cheaper option.

Unit cost = total cost / number of rolls

$4.59 / 6 = $0.77

$9.02 / 12 = $0.75

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Maria has 14 fewer apps on her phone than Orlando. If the total number of apps on both phones is 34, how many apps are on each phone?

Answers

Orlando has 24 apps and Maria has 10.

Setting up and equation from the word problem, Orlando has 24 apps on his phone, and Maria has 10 apps on her phone.

How many apps are on each phone?

Let's assume that Orlando has x number of apps on his phone. According to the given information, Maria has 14 fewer apps, so the number of apps on Maria's phone would be (x - 14).

The total number of apps on both phones is 34, so we can set up the equation:

x + (x - 14) = 34

Simplifying the equation:

2x - 14 = 34

Adding 14 to both sides:

2x = 48

Dividing both sides by 2:

x = 24

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One bag of bird seed weighs 20.25 pounds. What is the weight of 7 bags of the bird seed?

Answers

Answer:

141.75 pounds

Step-by-step explanation:

20.25* 7 = 141.75 pounds

You could also add 20.25 + 7 seven times.

7* 20.25= 141.75 and to check 141.75 divided by 20.25= 7

There are 9 squares and 6 circles. What is the simplest ratio of circles to squares?

Answers

Answer:

2:3, 2 to 3

Step-by-step explanation:

9 and 6 are both factors of three, so you have to reduce. 3 goes into 9 tree times, and 3 goes into 6 twice. Since it is circles to squares, the 2 comes first then 3.

Hope this helps!

Inga is solving 2x2 + 12x – 3 = 0. Which steps could she use to solve the quadratic equation? Select three options.

2(x2 + 6x + 9) = 3 + 18
2(x2 + 6x) = –3
2(x2 + 6x) = 3
x + 3 = Plus or minus StartRoot StartFraction 21 Over 2 EndFraction EndRoot
2(x2 + 6x + 9) = –3 + 9

Answers

To complete squares, she must use, in order:

Third step.First step.Fourth step.

Which steps could she use to solve the quadratic equation?

Here we have the quadratic equation:

[tex]2x^2 + 12x - 3 = 0\\[/tex]

There are some ways of solving this, the first approach is completing squares, where we can write:

[tex]2(x^2 + 6x) - 3 = 0\\\\2(x^2 + 2*3*x + 9 - 9) -3 = 0\\[/tex]

Here we add and subtract 9 to complete squares and not change the equation. Here we used the third step only.

Now we just complete squares to get:

[tex]2*(x^2 + 6x + 9) - 2*9 - 3 = 0\\\\2(x^2 + 6x + 9) = 3 + 18 = 21\\\\2*(x + 3)^2 = 21\\\\x + 3 = \pm \sqrt{\frac{21}{2} }[/tex]

Where the first and fourth steps are also used.

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To determine how American college students feel about commuting, 100 students at a private

the university was chosen by selecting 50 men and 50 women to participate. They were asked

how far they commute each day (in minutes) to campus.

a. Is this an observational study or experiment?

b. What is the sample?

c. What is the target population?

d. What is the sampling method? (Simple random, stratified, convenient, …)

e. Is the data collected qualitative or quantitative?

f. Why is it unlikely that the results of this study will be valid?

Answers

The nature of the research is called Observational Study while the target Population is American Students.

How to find the sampling method?

1) In study, we survey members of a sample without trying to affect them while in experiment, we assign people or things to groups and apply some treatment to one of the groups, while the other group does not receive treatment. Thus, this is an observational study.

2) The sample is the 100 students made up of 50 boys and 50 girls.

3) The target Population are American College Students

4) The sampling method is; Simple random Sampling

5) The data is qualitative because it deals with description of feelings rather than dealing with numbers and figures.

6) It is unlikely that the results would be invalid because of sampling bias as it was only done in a private university.

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The graph below shows how many cookies can be made depending on how many cups of flour are used. How many cookies will be made if 18 cups of flour are used?

192 cookies
96 cookies
48 cookies
288 cookies

Answers

Answer:

288

Step-by-step explanation:

Find the 18 on the x axis. Go up to the line. Then go left and you will be at 288 on the y axis.

You can also divide a known coordinate to find the rate of change, since the graph is proportional. Use (6, 96). y/x = rate of change

96/6 = 16.

Now multiply 18 and 16 to get the number of cookies.

18 x 16 = 288

The answer to the following equation is 288 cookies

the avrge amount of rainfalls is?

Answers

Answer:

For the entire United States, excluding Hawaii and Alaska, the average amount of moisture falling as rain and snow is 30.21 inches

Step-by-step explanation:

depends on the state

3-² how do i evaluate this

Answers

Answer:

This will be a negative exponent so get rid of that negative number,

Step-by-step explanation:

This is very useful

What part of the circle below is highlighted in red?
A. Radius
OB. Chord
O C. Diameter
OD. Center

Answers

Hi Student!

Let's go through each of the options that were provided to the question stating what part of the circle was highlighted in red and talk about what they mean.

First off, radius is the distance from the outer line to the middle which perfectly incapsulates what the red line is.  Therefore, the correct answer would be option A, Radius.

However, if you want to understand the rest of the definitions you can follow with the bullets provided.

Chord - This isn't a math termDiameter - This term is actually quite similar to that of radius but instead this is the length from one side of the outer line to the other side of the outer line.  This would cause the diameter to be twice the length of the radius and so if we want to determine the radius using the diameter we can just divide it by 2Center - This just description the dot in the middle of the circle

Find the sum of the first n terms
using the formula:
a(1-rn)
1-r
85 +85(.9) +85(.9)² + ...
. (5 terms)

Answers

The sum of the first n terms of sequence 85 +85(.9) +85(.9)² + ... would be 348.08.

What is the sum of terms of a geometric sequence?

Let's suppose its initial term is a , multiplication factor is  r and let it has total n terms,

then, its sum is given as:

[tex]S_n = \dfra[/tex][tex]\dfrac{a(r^n-1)}{r-1}[/tex]

(sum till nth term)

Given geometric sequence;

85 +85(.9) +85(.9)² + ...

a = 85

r = 0.9

its sum is given as:

[tex]S_n = \dfra[/tex][tex]\dfrac{a(r^n-1)}{r-1}[/tex]

[tex]S_n = \dfrac{85(0.9^5-1)}{0.9-1}\\\\S_n = \dfrac{85(0.5904-1)}{-0.1}\\\\\\S_n = \dfrac{85(-0.4095)}{-0.1}\\\\S_n = 348.08[/tex]

Thus,

The sum of the first n terms of sequence 85 +85(.9) +85(.9)² + ... would be 348.08.

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Find the amount of money
accumulated after investing a
principle P for years t at interest
rate r, compounded continuously.
P = $12,000 r = 7.5% t=7

Answers

Answer:

$20,285.51

Step-by-step explanation:

A = P + I where

P (principal) = $12,000.00

I (interest) = $8,285.51

A = Pe^(r*t)

A = 12,000.00(2.71828)^((0.075)*(7))

A = $20,285.51

e, also known as Euler's number, is a mathematical constant approximately equal to 2.71828

e here helps to show continously compounded interest

calculatorsoup

wikipedia

hi everyone today is world environment day please give me 100 to 200 word eassy on environment to save nature can anyone help this ~ ​

Answers

♨ANSWER♥

The conditions or surroundings in which we all live is called the environment. The main elements of the environment are air, water, temperature, weather conditions and more.

The environment is the base of the life cycle. It is the most precious gift of nature. But now our environment is in danger. Saving the environment is very important for living a comfortable life. It is the biggest challenge for humans to revert the environment to its real state. But nothing is impossible.

We need to take some steps immediately in order to save the environment and revert it back to its original form. Using natural resources efficiently is a powerful way to save our environment.

♥happy environment day♥

...hope this helps...

_♡_mashi_♡_

Identify the slope and y-intercept of the line y=3/5×-3

Answers

Answer:

slope = 3/5

y-intercept = -3

Step-by-step explanation:

This equation is formatted in slope-intercept form. The general structure of these equations are:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept. Therefore, to find the answer, see which variable the numbers from the original equation correspond with.

y = mx + b

y = (3/5)x - 3

slope = m = (3/5)

y-intercept = b = -3

Answer:

slope = 3/5

y-intercept = -3

Step-by-step explanation:

This equation is formatted in slope-intercept form. The general structure of these equations are:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept. Therefore, to find the answer, see which variable the numbers from the original equation correspond with.

y = mx + b

y = (3/5)x - 3

slope = m = (3/5)

y-intercept = b = -3

THANKS

0

0.0

(0 votes)

Compare the data in the table with the relation f(x) = 2x − 8. Which relation has a greater value when x = 4?

Answers

Answer:

A

Step-by-step explanation:

dont have it but its A

what is the volume of the composite

Answers

The sum of the volume of its part

X=
08
09
0 10
4
10 X

Answers

Answer:

8

Step-by-step explanation:

Intersecting Chords Formula:

(segment piece) x (segment piece) = (segment piece) x (segment piece)

5*x = 4*10

5x = 40

Divide by 5

5x/5 = 40/5

x = 8

Triangle JKL is reflected across the y-axis to create ∆J' K' L' . Are the two figures are congruent

Answers

Yes they are congruent because it’s just a reflection across the y-axis you aren’t making it smaller or larger

Can anyone please help me solve this and show how you did it? Thank you so much!

-3(-2w-6)<=10-2(-2w-4.5)

(WILL GIVE OUT 50 POINTS!!)

Answers

Step by Step Solution
More Icon
Reformatting the input :

Changes made to your input should not affect the solution:

(1): "4.5" was replaced by "(45/10)".

Rearrange:

Rearrange the equation by subtracting what is to the right of the less equal sign from both sides of the inequality :

-3*(-2*w-6)-(10-2*(-2*w-(45/10)))≤0

Step by step solution :

STEP
1
:

9
Simplify —
2
Equation at the end of step
1
:

9
(0-(3•(-2w-6)))-(10-(2•(-2w-—))) ≤ 0
2
STEP
2
:
Rewriting the whole as an Equivalent Fraction

2.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using 2 as the denominator :

-2w -2w • 2
-2w = ——— = ———————
1 2
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

-2w • 2 - (9) -4w - 9
————————————— = ———————
2 2
Equation at the end of step
2
:

(-4w-9)
(0-(3•(-2w-6)))-(10-(2•———————)) ≤ 0
2
STEP
3
:

STEP
4
:

Pulling out like terms :

4.1 Pull out like factors :

-4w - 9 = -1 • (4w + 9)

Equation at the end of step
4
:

(0 - (3 • (-2w - 6))) - (10 - (-4w - 9)) ≤ 0
STEP
5
:

STEP
6
:

Pulling out like terms :

6.1 Pull out like factors :

-2w - 6 = -2 • (w + 3)

Equation at the end of step
6
:

(0 - -6 • (w + 3)) - (4w + 19) ≤ 0
STEP
7
:

Equation at the end of step
7
:

2w - 1 ≤ 0
STEP
8
:

8.1 Divide both sides by 2

w-(1/2) ≤ 0


Solve Basic Inequality :

8.2 Add 1/2 to both sides

w ≤ 1/2


Inequality Plot :

8.3 Inequality plot for

2.000 w - 1.000 ≤ 0



One solution was found :
w ≤ 1/2

Dragon and lion dances are performed in a parade on Chinese New Year. The
dragon costume is 112 feet long. This is 8 times as long as the lion costume.
Which equation can be used to find the length of the lion costume?

Answers

Answer: 112 divided by 8 equals the length of the lion costume

Step-by-step explanation: 112 divided by 8 equals ???

Try and work it out using the bus stop method

Sorry if I wasn’t much help.

Caroline is looking for a tool to measure the mass of a dictionary. Which tool should she use?

A.
ruler

B.
pan balance

C.
stopwatch

D.
1‐liter container

Answers

[tex]\bold{Q:}[/tex]

Caroline is looking for a tool to measure the mass of a dictionary. Which tool should she use?

[tex]\bold{Ans:}[/tex]

B. pan balance

A balance or scale is an instrument used to measure mass.

Hope it helps.

[tex]\bold{Feel \: free \: to \: correct \: me}[/tex]~

the price of a barrel oil currently cost $120. Next month if the price increases by 1/12 of the current cost, then what would be the new cost of a barrel of oil?

Answers

Answer:

$130

Step-by-step explanation:

120 x (1 + 1/12) = 120 x 13/12 = 130

A triangle has side lengths 9 cm, 12 cm, and 16 cm.

Answers

Answer:

https://www.calculator.net/triangle-calculator.html?vc=&vx=16&vy=9&va=&vz=12&vb=&angleunits=d&x=54&y=24

Step-by-step explanation:

I went to this website

https://www.calculator.net/triangle-calculator.html

put in what I knew of the triangle and got all the information you may need.

Please help me with this question!​

Answers

Step-by-step explanation:

Yes it is .

7x+9 _> 7•3

7x+9_> 21

7x_> 21 - 9

7x _> 12 divide both side with 7 to find x

then x _> 1.4

which mean x can be any number that is greater than or equal to 1.4 so 2 is correct .

Hi Student!

Looking at the problem statement, we can see that they are asking for us to determine whether x = 2 is a solution of the expression provided or not.  The first step that we take is plugging in all the values which means that we take 2 and plug it into all of the x's that we have in the expression that we provided.  Then we simplify that expression down on both sides.  If the expression in the end results to true then x = 2 is a solution of the expression but if it defaults to false than x = 2 isn't a solution.

Plug in the values

[tex]7x + 9 \ge 7 * 3[/tex][tex]7(2) + 9 \ge 7 * 3[/tex]

Simplify both sides

[tex]14 + 9 \ge 7 * 3[/tex][tex]23 \ge 21[/tex]

The final expression states that 23 is greater than or equal to 21 which is true. Therefore, x = 2 is a solution of the expression that was provided in the problem statement.

pls help me with this problem :)
The areas of two similar triangles are 9 cm² and 49 cm². One of the sides of the first
triangle is 2 cm. What is the length of the corresponding side of the other triangle?

Answers

Answer:

I believe it should be rounded to 11, if not decimal would be 10.88

Step-by-step explanation:

49 divided by 9 equals 5.44 which is the amount times the 49cm^2 triangle is compared to the 9cm^2. So then the side is 2cm, multiply by the amount times bigger the other triangle is which would be 10.88. Hopefully I'm not wrong:)

Answer:

The answer is 4 and 2/3 cm²

Step-by-step explanation:

Take the square root of 49 and 9 and you'll get 7 and 3 since the scale factor is the large area over the small area.

The large area would be √49 cm²

The small area would be √9 cm²

  7          x cm

------ =  ----------, cross multiply

  3         2 cm

7 × 2 = 3 × x

14 = 3x

x = 14/3, x = 4 and 2/3

What is the equation of the following line? Be sure to scroll down first to see
all answer options.
(15, 3)
(0,0)

Answers

The required equation of the line is 5y=x.

We are given to find the equation of the line passing through the points (0, 0) and (15, 3).

We know that

What is the slope point form of the line?

The equation of a line passing through two points (a, b) and (c, d) is given by

[tex]y-b=\frac{d-b}{c-a}(x-a)[/tex]

Therefore, the equation of the line passing through the points (0, 0) and (15, 3) is given by,

Thus, the required equation of the line is

[tex]y-0=\frac{3-0}{15-0}(x-0)\\y=\frac{3}{15}x\\ y=\frac{1}{5}x\\ 5y=x[/tex]

Thus the required equation of the line is 5y=x.

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Solve for x
*
105⁰
X+35⁰
X+250 S
120°
R

Answers

x = 85

sum of all the angles must be 540,

105 + 120 + 3x + 35 + 25 = 540

3x = 255

x is 85

00:57
Learn with an example
What is the volume of this cone?
Use ≈ 3.14 and round your answer to the
nearest hundredth.
19 ft
12 ft

Answers

Given:h= 19 ftr= 12 ftNote that:h= Height r= Radius To find:

The volume of the given cone.

Solution:

[tex]\large\boxed{Formula:V= \frac{1}{3}\pi{r}^{2}h}[/tex]

[tex]\large\boxed{\red \pi \red = \red 3 \red . \red 1 \red 4}[/tex]

Let's solve!

Substitute the values according to the formula.

[tex]V=\frac{1}{3}×3.14×{12}^{2}×19[/tex]

[tex]\large\boxed{V=2863.68 \: {ft}^{3}}[/tex]

Therefore, the volume of the given cone is 2863.68 cubic feets.

Other Questions
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It could be their location, their talents, how did they exist, what happened to them today, etc... You decide on what is important to tell me about this tribe. Then the conclusion sums up your whole essay. I am looking forward to reading them. This assignment is worth 70 points. Essay Format with Introduction, Body, and Conclusion with Relevant Content for Each Section 20 pointsRelevant Content about Tribe with No Misspelled Words 20 pointsMinimum 500 Words 10 pointsBibliography 20 pointsPlagiarized work will receive a 0. A bag has 4 red marbles,5 blue, 3 green and 1 yellow. what is the probability of pulling a red marble.Answer as a fraction, decimal and percent Key Details Main Idea 1The Industrial Revolution transformed the United States from a rural to an urban society.Main Idea 2The growth of urban areas during the Industrial Revolution led to serious problems.Young people raised on farms saw greater opportunities in the cities and moved there. Main Idea 1The Industrial Revolution transformed the United States from a rural to an urban society. Young people raised on farms saw greater opportunities in the cities and moved there.Main Idea 2The growth of urban areas during the Industrial Revolution led to serious problems. Young people raised on farms saw greater opportunities in the cities and moved there.Many workers found themselves living in urban slums. Main Idea 1The Industrial Revolution transformed the United States from a rural to an urban society. Many workers found themselves living in urban slums.Main Idea 2The growth of urban areas during the Industrial Revolution led to serious problems. Many workers found themselves living in urban slums.Millions of immigrants came to American cities from Europe. Main Idea 1The Industrial Revolution transformed the United States from a rural to an urban society. 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Question Content AreaWhich of the following is true of the master budget? a.Variable costs cannot change from one month to another. b.The master budget can reflect seasonal effects. c.Fixed costs cannot change from one month to another. d.Monthly budgets are derived by dividing the master budget by 12. e.None of these choices are correct. Pls help! I don't get this!! Which two statements correctly describe how historians place their arguments in historical context? How does the theme of I Hear America Singing compare with the theme shown in Work Without Hope? Select the correct answer. The vertices of a triangle are A(7, 5), B(4, 2), and C(9, 2). What is m