A boy pulls the handle of a lawn mower at an angle of 30° to the horizontal with a force
of 120N. Calculate the work done when the mower moves through a distance of 12.8m.
(3mks)​

Answers

Answer 1

If the mower is pulled over a flat horizontal surface, then first get the component of the force in the direction of the mower's displacement:

(120 N) cos(30°) = 60 √3 N ≈ 103.923 N

Then the work done by the boy on the mower over a distance of 12.8 m is

(103.923 N) (12.8 m) ≈ 1330.2 Nm ≈ 1330 J


Related Questions

PLEASE HELP OUT
(45 is incorrect I know that already)​

Answers

Answer:

∠ B = 60°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

(10x - 45)° is an exterior angle of the triangle , then

10x - 45 = 3x + 4x = 7x ( subtract 7x from both sides )

3x - 45 = 0 ( add 45 to both sides )

3x = 45 ( divide both sides by 3 )

x = 15

Then

∠ B = 4x = 4 × 15 = 60°

Answer:

∡B=60°

Step-by-step explanation:

x = 15

so 4x = 60

7x + 180 - (10x-45) = 180

-3x + 225 = 180

-3x = -45

x = 15

need help
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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

Will give brainlyest!!!!:
A construction company is planning to pour concrete for a driveway. The length of the driveway is 16 feet longer than its width w.
a. Write an expression for the area of the driveway.
b. Find the dimensions of the driveway if it has an area of 260 square feet.

Answers

A construction company is planning to pour concrete for a driveway.
The length of the driveway is 16 feet longer than its width "w".
Length is "w+16".
-----------------------------
32. Write an expression for the area of the driveway.
Area = w(w+16) = w^2+16w sq. ft.
------------------------------------------

33. Find the dimensions of the driveway if it has an area of 260 square feet.
Solve 260 = w^2+16w
w^2+16w-260 = 0
(w+26)(w-10) = 0
Positive solution:
width = 10 ft
length = 10+16 = 26 ft.

Verify the identity. (cos x/ 1+ sin x) + (1+ sin x/cos x) = 2 sec x​

Answers

Answer:

LHS

[tex]\frac{cos x}{1+ sin x} + \frac{1+ sin x}{cos x} \\=\frac{cos2(x)+1+2sin(x)+sin2(x)}{cos(x)(1+sin(x)} \\= \frac{2+2sin(x)}{cos(x)(1+sin(x))} \\\\=\frac{2 (1 + sin(x))}{cos(x)(1+sin(x))} \\= \frac{2}{cos (x)} \\= 2 sec x[/tex]

= RHS PROVED

hope it helps :)

PLS HELP ASAP WILL GIVE BRAINLEAST!!!!!!!!

Answers

Answer:

It's B

Step-by-step explanation:

Anthony paints fences. He charges $35 for painting supplies and $15 for each hour, h, he
works. If Anthony charges Jill $155, which equation can be used to determine the number of
hours Anthony spent painting Jill's fence?

Choices:
A: 15h+35=155
B: 15-35h=155
C: 15h=155
D: 35h= 155


Please help fast!
(6th grade math)

Answers

The answer is A. If you take that equation and subtract each side of the equal sign by 35 and divided by 15 you’ll get how many hours Anthony worked.

HELP ASAP
What is the 10th term in the geometric sequence below?


−4, 12, −36, 108, ...


a)-236196


b)-78732


c)236196


d) 78732

Answers

Answer:

78732

Step-by-step explanation:

Need by 11:59 tonight

Answers

Answer:

ok ill answer at 11:58 bro bro

Step-by-step explanation:

A square garden has sides that are 17 meters long. Fencing costs $9.00 per meter. How much would it
cost to put a fence around the garden?

Answers

Answer:

$612

Step-by-step explanation:

Each side of the square garden is 17 meters, and fencing costs $9 per meter. "Around" is the key word, as it indicates perimeter. So, we just need to account for each side of the garden, and not the entirety of the garden. So,

17 · 9 = 153

This means that to cover one side of the garden, it would cost $153. Now, we just need to account for all sides of the garden.

153 x 4 = 612

Answer:

The answer would be 612$ to put a fence around the garden

or 153 for 17 meters

Step-by-step explanation:

I believe that it is 612 because it says sides

let me know if it is correct

A basketball stadium has 15 ,002 zero seats the lower level has 54 than three times as many seats as the upper level the middle level has 40 more than twice as many seats as the upper level used to solve for x and found that the upper level has 2,502 sears

Answers

Answer:

There are 7456 seats on the lower level and there are 5044 seats on the middle level.

Step-by-step explanation:

Let 'X" be the number of seats on the upper level. Then we can find how many seats are on the lower level by solving the following equation...

# of seats on the lower level = 3x - 50

# of seats on the lower level = 3(2502) - 50

# of seats on the lower level = 7456

Now we just make the equation for the number of seats on the middle level, and so we get...

# of seats on the middle level = 2x + 40

# of seats on the middle level = 2(2502) + 40

# of seats on the middle level = 5044

If x^2 =2” what is the value of x

Answers

Answer:

solution given:

x²=20

x=±√20 is your answer

Answer:

2

Step-by-step explanation:

[tex]x^{2} =20\\x= ± \sqrt{20}[/tex]

pleaseeeeeeeeeee help me ​

Answers

the answer would be C

A car's velocity, in mph, is recorded simultaneously by five different sensors, with the results: 45, 46, 46, 45, 48. Estimate a range of values in which the car's true velocity is likely to lie.

Answers

Answer: [tex]45-48\ \text{mph}[/tex]

Step-by-step explanation:

Given

Car velocity is given by [tex]45, 46, 46, 45, 48[/tex]

The range of a given set of data is given by

[tex]\text{Range=Max-min. value}[/tex]

Maximum velocity=48

Minimum velocity=45

The Range of velocity is

[tex]\Rightarrow 48-45=3[/tex]

Velocity lies between [tex]45-48\ \text{mph}[/tex]

write the root of x in ax^2+bx+c=0​

Answers

Answer:

the root of x in ax^2+bx+c=0

is

x=[-b±√(b²-4ac)]/2a

Tammy opened a credit card with a 19% simple interest rate to purchase a $879 laptop. If she pays off the laptop in 18 months, how much will she have paid in total?

Answers

Answer:

$1146.216

Step-by-step explanation:

Given data

Principal= $879

Rate= 19%

Time = 18months= 1.6 years

The expression for the simple interest is

A=P(1+rt)

substitute

A=879(1+0.19*1.6)

A= 897(1+0.304)

A= 879*(1.304)

A= $1146.216

Hence the amount to be paid is $1146.216

If 1/4 of a pound costs $3, how
many pounds can you buy for $1?

Answers

Answer:

1/12

Step-by-step explanation:

1/4 divided by 3

Answer:

I think you can buy 1/3 for one dollar

A storeowner plans to have his annual "Going Out of Business Sale." If each month has an equal chance of being selected, find the probability that the sale will be in a month that begins with the letter J or A.​

Answers

Answer:

Step-by-step explanation:

How many months begin with J or A ? 5

How many months total? 12

The probability that the sale will be in a month begins with the letter J or A. is 5/12

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

A store owner plans to have his annual "Going Out of Business Sale." If each month has an equal chance of being selected,

The total number of months begins with J or A =  5

The total months =12

The probability that the sale will be in a month begins with the letter J or A.​

= 5/12

Learn more about probability here;

https://brainly.com/question/11234923

#SPJ2

What is x to the nearest tenth?

Answers

Answer:

A. 37.5

Step-by-step explanation:

not a quiz just need help​

Answers

The answer would be-2 and 5

Arrow 1 is rotated by 45° , 90° , 180° respectively as shown below , Based on this we can say – “Any object when rotated by _____, will look exactly the same

Answers

Any object when rotated by 360°, will look exactly the same

PLEASE HELP ASAP
Use the angle and protractor shown to answer the question.
What is the measure of angle LMN?

Answers

Answer:

Well,for me it's letter C.

Max wants to find our the exercise habits of local children. He plans to survey every third child he sees coming out of sporting goods store. Is this sample biased or unbiased?

Answers

Its biased because Max wants to find out the exercise habits of LOCAL children, but he is specifically going to an area where kids are mostly likely fit die to the fact that they are exiting a sporting good store, so yeah, Biased. Hope it helps.

what are the solution to 2logx=log(2x+3)

Answers

tif you’re solving for x the answer is x=3

In the figure, angle D measures 71° and angle G measures 37°. What is the measurement of angle A?

Answers

Answer:

No u

Step-by-step explanation:

Answer : M{A}=72

This is a triangle, meaning the total degree will be 180.

Sam puts $40 in a savings account and continues adds $8 each week. Pam puts $8 in her account nd adds $12 each week. How long before both accounts are equal

Answers

It would take Sam 2 weeks to save $56, and it would take Pam 4 weeks to save $56 (hope this helped)

Machine machine with 140 gallon capacity needs to be filled with water/glycol mixture. Someone has already pump 50 gallons of 60% glycol blend into the machine. How much more glycol must you add an order to get a 50% concentration?

Answers

Answer:

40 gal

Step-by-step explanation:

The capacity of the machine is 140 gallons, and it must be filled.

In a 50% glycol solution, the amount of glycol in 140 gallons of solution is

50% * 140 gallons = 70 gallons.

Once the machine is full with 140 gallons of 50% glycol solution, it will have 70 gallons of glycol.

The machine now has 50 gallons of 60% glycol solution.

60% * 50 gallons = 30 gallons

The machine has now 30 gallons of glycol.

70 gal - 30 gal = 40 gal

You must add another 40 gallons of glycol.

In the figure below,
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A
D
is perpendicular to
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B
D

,
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A
C
is perpendicular to
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B
C
and
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A
D

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B
C
. Which of the following congruences is NOT necessarily true?




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A
C




¯¯¯¯¯¯¯¯¯
B
D
¯¯¯¯¯¯¯¯
A
C




¯¯¯¯¯¯¯¯¯
B
D

¯¯¯¯¯¯¯¯¯
A
D

¯¯¯¯¯¯¯¯
A
E
line segment cap A cap d is congruent to line segment cap A cap e

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A
E



¯¯¯¯¯¯¯¯
B
E
¯¯¯¯¯¯¯¯
A
E



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B
E



D
A
B





C
B
A


D
A
B





C
B
A



E
A
B





E
B
A


E
A
B





E
B
A

Answers

Answer:

b

Step-by-step explanation:

There is a hot market at school for used graduation gowns, in fact the price is growing exponentially! Last week I could have gotten one for $25, but today, one week later, the price is $37.50. What would the price be if I decide to wait to buy my graduation gown at graduation, six weeks from now?

Answers

Answer:

$100

Step-by-step explanation:

the equation to solve this is:

[tex]y=12.5x+25[/tex]

[tex]y=12.5x+25\\ =(12.5*6)+25\\ =75+25\\ =100[/tex]

(Assuming, of course, that this is a homework assignment and not you actually buying it cuz' in real life the numbers would be different from month to month)

A triangle has sides with lengths of 26 inches, 73 inches, and 76 inches. Is it a right triangle?

Answers

Answer:

No, it is not a right triangle.

Step-by-step explanation:

We know that there are 2 legs and 1 hypotenuse.  The hypotenuse is 76 because it is the largest number.  And the two legs are 73 and 26.  Now to find if it is a right triangle we will take 73 and multiply it by itself, which is 5,329.  Now we will do the same with 26 and we get 676.  Then we add 676 to 5,329 and we get 6,005.  Because we are trying to find the hypotenuse, we have to find what number when squared makes 6,005.  Since 76 x 76 = 5,776 it is not a right triangle.

Here is an image of the triangle:

y = -5 + 6 -----------

Answers

Answer:

y = -5 + 6=1 is your answer

y_=-5 +6=1 is your answer
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