A worker pushes a wheelbarrow with a force of 20N downward and to the left, as shown in the figure below. The angle the handle makes with the horizontal is 34°. Note that the figure is not drawn to scale. Write the force vector F in the form =F+aibj. Do not round any intermediate computations, and round the values in your answer to the nearest hundredth. f=

Step-by-step explanation:

Given that the formula of gradient is :

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

So you have to try for every coordinates :

Option A,

[tex] \frac{6-(-2)}{-1-4} = - \frac{8}{5} (incorrect) [/tex]

Option B,

[tex] \frac{8-(-2)}{-1-4} = -2 (correct) [/tex]

Option C,

[tex] \frac{10-(-2)}{-1-4} = - \frac{12}{5} (incorrect) [/tex]

Option D,

[tex] \frac{12-(-2)}{-1-4} = - \frac{14}{5} (incorrect) [/tex]

Answer:

46

Step-by-step explanation:

32+14 = 46

46 ppl study spanish

Answer:

A = the Venn diagram and the middle section is 41 because :

14 + 25 = 39

80 - 39 = 41

B = 25 ( because of diagram )

C = the number of kids who studied both and only studied it which is:

41 + 14 = 55 (so C = 55).

Answer:

x=±8

Step-by-step explanation:

You add 11 on both sides

x^2=53+11

x^2 = 64 so

x=8 or x=-8

Answer:

340 songs, 17000/50 = 340 lol

Answer:

340

Step-by-step explanation:

17000÷50=340.

hope this helps

Answer:

5

Step-by-step explanation:

3-(-2)=5

Answer:

5

Step-by-step explanation:

It becomes 3+2 because the negatives cancel out.

Answer: True

When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. When the two lines are parallel Corresponding Angles are equal.

Answer: 39

Step-by-step explanation:

Its easy! The triangles CEF and CDE are equals because they have three sides respectively equal. So the angles FCE and angle m1 (DCE) are equal.

Then:

m1 = 39

Answer:

the answer is c

Step-by-step explanation:

Answer:

Expected Payoff ⇒ $ 1.50 ; Type in 1.50

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]

Thus, Solution ; Expected Payoff ⇒ $ 1.50

Answer:

x = 7

y = 7

Step-by-step explanation:

So from this we can pull that x, y = pos

pos so 3(x) = 21

x= 7

Same

7, 7

x = 7, y = 7

Hope this helps!

Answer:

x = (14/3,6)

Step-by-step explanation:

-3(x-2) < 8

taking negative sign to opposite side relational operator changes.

3(x-2) >8

Similarly

3(x-2)<12

Now

8< 3(x-2) < 12

dividing by 3

8/3 < x-2 < 4

adding 2

8/3 +2 < x < 6

Therefore x = (14/3, 6)

Hope it helps ...

Answer:         μ = 647.4

Step-by-step explanation:

The question says

"A psychologist has designed a questionnaire to measure individuals' aggressiveness. suppose that the scores on the questionnaire are normally distributed with a standard deviation of . suppose also that exactly of the scores exceed"

And we are told to find the mean of the distribution scores.

Given mean μ = ?

we have from standard normal table that

P(Z > 1.282) = 0.1

Therefore the given Z score of a score of 750 is given thus 1.282.

the z score is given:

x - μ / α = 1.282

750 - μ / 80 = 1.282

Therefore μ = (750 - 80)*1.282 = 647.4

So we have that μ = 647.4

cheers i hope this helped !!!

Answer:

B. Age of student

D. Time taken to run 1 mile

Step-by-step explanation:

From the list of given options, only B and D satisfy the required condition.

One unique determinant of continuous data is that; they are measured and not counted.

Now, let's categorize option A to D into two

1. Counted data

2. Measured data

Options that fall into the category of measured data are said to be continuous data.

A. Concert attendance; The number of people in a concert is counted

B. The age of a student is measured (in years)

C. Number of pens in a box is counted

D. Time taken to run 1 mile is measured (in units like seconds, minutes, hours, etc...)

In summary; we have

Counted

A. Concert Attendance

C. Number of pens in a box

Measured

B. Age of a student

D. Time taken to run 1 mile

Hence, the continuous data are Age of a student and Time taken to run 1 mile

answer:15x

Step-by-step explanation:

because 2x +3 is 5x 5x+10 is 15x

Answer:

There is not enough information to solve. We need some more information to solve this question. The best we can do is

g(x) = g(f(x))

Answer:

y=x+9

Step-by-step explanation:

Answer:

60

This is because a number 5 or above is rounded up. Lower than 5 is equal to the lower number.

Answer:

60.. hope it helps

Step-by-step explanation:

Check the number in the ones place

It's is 9, which is greater than 5 so we will add 1, to the tens place,

It becomes 60

Another method..

The closest tens multiples to the given number are 50 and 60.

Evidently, it is closer to 60 so when it is rounded off to the nearest ten, it's 60

Answer:

y < -2

Step-by-step explanation:

2y < -4

Divide both sides by 2.

y < -2

Answer:

y <-2. :::::::::::::::::::::::

Step-by-step explanation:

2y< -4 ==> y<-2

The length of AC will be equal to 20 units for the given line.

Distance is defined as the length between the two points here we have a line AC divided into two parts having a length of AB = 4 and BC is 16.

The length of the line AC will be calculated as:-

AC  =  AB  +  BC

Ac   =  4  +  16

AC  =  20 units.

Therefore the length of AC will be equal to 20 units for the given line.

To know more about distance follow

https://brainly.com/question/2854969

#SPJ2

[tex]answer \\ (3x - 5)(2x + 2) \\ solution \\ {6x}^{2} - 4x - 10 \\ = {6x}^{2} - (10 - 6)x - 10 \\ = {6x}^{2} - 10x + 6x - 10 \\ = 2x(3x - 5) + 2(3x - 5) \\ = (3x - 5)(2x + 2) \\ hope \: it \: helps[/tex]

Answer:

x = 1⅔ or -1

Step-by-step explanation:

6x² -4x - 10

a=6, b=-4, c=-10, ac= -60

factors -10 & 6

6x² + 6x - 10x -10 =0

(6x² + 6x) - (10x - 10) =0

6x(x +1) - 10(x+1) =0

(6x-10)(x+1)=0

6x-10=0 or. x+1=0

6x= 10 or x= -1

x= 10/6 or. x= -1

x=1⅔ or x= -1

Answer:

Surface area of sphere = 4πr²

r = radius

and radius = diameter/2

radius = 13/2

= 6.5cm

Surface area = 4 × π × 6.5

= 26 × π

= 81.68

= 81.7cm²

Hope this helps.

Answer:

[tex]\frac{9}{10}[/tex]

Step-by-step explanation:

Let the fraction be [tex]\frac{x}{y}[/tex].

That would mean:

(1)    x+y = 19

&

(2)    y+8 = 2x or 2x = y+8

In order to use substitution, we multiply equation by 2:

(3)   2x+2y = 38

Then we substitute equation (2) into (3):

y+8 + 2y = 38

3y + 8 = 38

3y = 30

y = 10

Substitute this into equation (1)

x + 10 = 19

x = 9

Therefore the fraction would be:

[tex]\frac{9}{10}[/tex]

Answer:

9/10

Step-by-step explanation:

let the fraction be x/y.

x+y=19

x/y+8=1/2

solve simultaneously

y=2x-8

y=19-x

2x-8=19-x

3x=27

x=9

y=10

Answer:

32p

Step-by-step explanation:

the times between 8pm and 11.30pm are:

8pm,9pm,10pm,11pm,11.30pm.

so, find the cost associated with each of them:

8pm: 12p

9pm: 12p

10pm: 12p

11pm:8p

11.30pm: 4p

sum:12+12+12+8+4 = 12 x 4 = 32p

Answer:

Dimension of doghouse is 4ft by 6ft

Step-by-step explanation:

Here, we are interested in calculating the dimensions of the doghouse.

Let the length of the doghouse be x, this means that the width would be 2/3 of x which equals 2x/3

Now, the area of rectangle is L * B

x * 2x/3 = 24

2x^2 = 3 * 24

2x^2 = 72

diverse both sides by 2

x^2 = 36

hence x = 6ft

The width would be 2/3 * 6 = 12/3 = 4 ft

Answer:

b) 1.6 units

    y = 1.586 ≅ 1.6 units

Step-by-step explanation:

Explanation:-

step(i):-

The sine rule

[tex]\frac{a}{Sin A} = \frac{b}{Sin B} = \frac{c}{Sin C} = 2 R[/tex]

Given  a = 2 and b = y

∠A = 75° and ∠ B = 50°

Step(ii):-

by sine rule

              [tex]\frac{a}{Sin A} = \frac{b}{Sin B}[/tex]

            [tex]\frac{2}{Sin 75} = \frac{y}{Sin 50}[/tex]

Cross multiplication , we get

         2 × sin 50° = y  sin 75°

          2 × 0.766 = y  × 0.9659

           [tex]y = \frac{ 2 X 0.766}{0.9659} = 1. 586[/tex]

           y = 1.586 ≅ 1.6 units

Answer:

Step-by-step explanation:

Answer:

Ray KM is an angle bisector of AngleNKL

Step-by-step explanation:

Answer:

Ray KM is an angle bisector of AngleNKL

Step-by-step explanation:

brainlist???????????

Answer:

80 Degrees celsius

Step-by-step explanation:

176 - 32 = 144

144 * 100/180 = 80

Answer:

2 (x - 2) (x + 9)

Step-by-step explanation:

Mark brainliest please

Answer:

240 degrees

Step-by-step explanation:

Mathematically, the area of a circle is

A = 2 * pi * r^2

we need to calculate the radius of the circle first

18pi = 2pi * r^2

divide both sides by 2pi

r^2 = 9

r = 3 inches

Area of sector = angle/360 * pi * r^2

6pi = angle/360 * pi * 3^2

6pi = angle/360 * 9pi

(360 * 6pi)/9pi = angle

40 * 6 = 240 degrees