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geniusboy [140]
2 years ago
8

. Anne is pushing a wheelbarrow filled with mulch to place in her garden. She is pushing the wheelbarrow with a force of 70 N at

an angle of 50° with the horizontal. How much work in joules is Anne doing when she pushes the wheelbarrow 25 meters?
Mathematics
1 answer:
Kruka [31]2 years ago
4 0

<u>Answer:</u>

When Anne pushes the wheelbarrow 25 meters the work done is 1120 joules

<u>Solution:</u>

We know \text { Work }(\mathrm{W})=\text { Force }(\mathrm{F})\times\text { Distance (D) }

Anne is pushing the wheelbarrow with a force of 70 N at an angle of 50^{\circ} with the horizontal

So the force of Anne will be F=70 \cos 50^{\circ}=(70 \times 0.64)=44.8 \mathrm{N}

She pushes the wheelbarrow 25 meter, So D = 25 meters

So, the work,F\times D=(44.8 \times 25)=1120 \text { Joules }

Anne has done total 1120 joules work.

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A 13-foot ladder leans against the side of a house with its base 3 feet from the house. Use the Pythagorean Theorem to approxima
scZoUnD [109]

Answer: 12.65 ft

Pythagorean theorem is a^{2} + b^{2} = c^{2}

So, a^{2} + 3^{2} = 13^{2}

169 - 9 = 160

\sqrt{160} is 12.65.

Hope it helps.

4 0
2 years ago
Rewrite 105,000 in scientific notation.
Damm [24]
Your answer is B) 1.05 x 10 5
6 0
3 years ago
It costs $20.50 to enter an amusement park and $0.25 to ride a ride. You have $21.50. Write an equation that represents the numb
Mrac [35]

Answer:

4 rides

Step-by-step explanation:

Total amount = $21.50

Entry charge = $20.50

Amount left = $21.50 - 20.50 = $1

Number of rides

r =  \frac{1}{0.25}  =  \frac{100}{25}  = 4 \\

Another way:

0.25\:r + 20.50 = 21.50\\0.25\:r = 21.50 - 20.50\\0.25\:r = 1\\r = \frac{1}{0.25}\\r = \frac{100}{25}\\r = 4\\

4 0
3 years ago
PLEASE PLEASE HELP PLEASE
gogolik [260]

Answer:

x = -3

Step-by-step explanation:

2(4x + 6) = 8x + 12

3(x - 1) = 3x -3

8x + 12 = 3x - 3

5x = -15

x = -3

6 0
3 years ago
Read 2 more answers
Which polynomials are prime? check all that apply. 15x2 10x – 9x 7 20x2 – 12x 30x – 18 6x3 14x2 – 12x – 28 8x3 20x2 3x 12 11x4 4
FrozenT [24]

The options that are prime polynomials are,

15x^2  +10x -9x+7, 8x^3+20x^2+3x+12 and 11x^4+4x^2-6x^2-16

<h3>What is the prime polynomial?</h3>

A polynomial with integer coefficients that cannot be factored into polynomials of lower degree, also with integer coefficients, is called an irreducible or prime polynomial.

To determine all options in order to check that the polynomials are prime or not:

1). 15x^2  +10x -9x+7

5x(3x + 2) - (9x - 7)

Therefore,  this polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.

2). 20x^2-12x+30x-18

4x(5x - 3)+6(5x-3)

(4x + 6)(5x - 3)

Therefore,  this polynomial is converted into a lower degree polynomial. Therefore, it is not a prime polynomial.

3). 6x^3+14x^2-12x-28

2x^2(3x+7)-4(3x+7)

(2x^2-4)(3x+7)

Therefore,  this polynomial is converted into a lower degree polynomial. Therefore, it is not a prime polynomial.

4). 8x^3+20x^2+3x+12

4x^2(2x+5)+(3x+20)

Therefore, this polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.

5). 11x^4+4x^2-6x^2-16

x^2(11x^2+4)-2(3x^2+8)

So, this polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.

To learn more about the prime polynomial visit:

brainly.com/question/16749843

6 0
1 year ago
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