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Answer:

100 Nm

Step-by-step explanation:

Work is said to be done when a force moves a body through a distance. This may be expressed as

work done = Force * distance

where

work done is measured in joules or Newton-meter

Force is measured in newtons and distance in meters

Substituting the given values,

Workdone = 20 * 5

= 100 Nm

= 100J

Answer:

1/2 x 1/2 = 1/4

Step-by-step explanation:

P(H,H) = 1/2 x 1/2 = 1/4

P(T,T) = 1/2 x 1/2 = 1/4

P(H,T) = 1/2 x 1/2 = 1/4

P(T,H) = 1/2 x 1/2 = 1/4

Answer:

48 treats

Step-by-step explanation:

16 treats / 2 hours = 8 treats / hour

8 treats / hour x 6 hours =

48 treats

Hope that helps! :)

Answer & Explanation:

Gross income is the total pay you earn before any reduction and adjustments (taxes, mortgage, etc.).

Net income is the amount of pay you get after taxes and other reductions are taken out of your gross income; it's the money that you "actually get to take home in your pocket with" on the payday.

Answer:

2 cups

Step-by-step explanation:

16/8=2 so it is 2 cups

Answer:

m=3/4

Step-by-step explanation:

First, let us remind ourselves of the slope formula: m=rise/run=([tex]y_{2}[/tex]-[tex]y_{1}[/tex])/([tex]x_{2}[/tex]-[tex]x_{1}[/tex])

Let's pick two points from the graph to work with. Let's do (3,-6) and (-1,-9).

And let 3=[tex]x_{1}[/tex], -6=[tex]y_{1}[/tex], -1=[tex]x_{2}[/tex], -9=[tex]y_{2}[/tex].

1. Substitute the values into the slope formula: [-9-(-6)]/(-1-3)

2. simplify the expression: [-9-(-6)]/(-1-3)=(-9+6)/-4=-3/-4=3/4

3. As a result, the slope of the line is 3/4

Answer:

D<28

Step-by-step explanation:

The required inequality for the given situation can be, d > 28 or d < 28

A relationship between two expressions or values that are not equal to each other is called inequality.

Given that, write an inequality for the situation.

Situation :-

A number of days, d, of sunshine is not 28.

Here, the number of days is said to be not equal to 28, we are not given if is less or more,

It can be less or more than 28 but not 28

So, here we get two situations,

Either, the number of days, d, of sunshine is less than 28, or the number of days, d, of sunshine is more than 28.

If we write these situations, mathematically, the inequalities we will have, are :-

1) The number of days, d, of sunshine is less than 28 :-

d < 28

2) The number of days, d, of sunshine is more than 28 :-

d > 28

Therefore, the two inequalities, are :- d < 28 or d > 28

Hence, the required inequality for the given situation can be, d > 28 or d < 28

Learn more about Inequalities, click;

https://brainly.com/question/30228778

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The complete question is :-

Write an inequality for the situation.

A number of days, d, of sunshine is not 28 .

Answer:

12 miles

tep-by-step explanation:

1 inch  is 4 miles  4 times 3 inches ls 12

Answer:

Yes. See explanation below.

Step-by-step explanation:

The central angle and the degree arc measure of a sector of a circle are  equal. Doubling the arc measure, doubles the central angle measure and vice versa.

Area of the the original sector:

[tex] A_{sector} = \dfrac{n}{360^\circ}\pi r^2 [/tex]

where n = measure of the central angle of the sector

Since the central angle and the arc measure of the sector are equal, changing the arc measure has the same effect as changing the central angle measure.

Let's double the central angle to 2n which is the same as doubling the arc measure.

Area of the sector with a doubled central angle or a doubled arc measure:

[tex] A_{sector} = \dfrac{2n}{360^\circ}\pi r^2 [/tex]

Now we divide the area of the doubled sector by the area of the original sector.

[tex]\dfrac{\frac{2n}{360^\circ}\pi r^2}{\frac{n}{360^\circ}\pi r^2} =[/tex]

Simplify:

[tex]= \dfrac{2n}{n} \times \dfrac{360^\circ \pi r^2}{360^\circ \pi r^2}[/tex]

[tex] = \dfrac{2n}{n} [/tex]

[tex] = 2 [/tex]

The ratio of the areas is 2, so the area of the sector is indeed doubled.

Answer: Yes.

Answer:

y€ R : y greater than or equal to 1

Answer: 1176

Step-by-step explanation: 7 times as big is an ambiguous term; it could mean that each side is 7 times larger, or that the shape as a whole is made 7 times larger. We'll assume that each side is made larger, because that is typically the type of question asked. The area is given as base times height, and obviously, if you dilate the non-base side by 7, the height will also become 7, because those two lines from a triangle with the third side being the base extended. I wish I could draw you a diagram but i can;t. Either way, think of it as a square, and if we dilate each side by 7, then we have lx7xwx7=Area, which is lw*49=49 times the given area, which is 24; 24*49=1176

Answer:

a) 10 yards and 10[tex]\sqrt{3}[/tex] yards

Step-by-step explanation:

The intersection of the support beams in the middle form four right angles, since all four sides are equal.  Because you know two angles of the triangle on the right hand side (90° and 30°), you can calculate the third angle (given that a triangle has 180°):

180°-90°-30° = 60°

This is a 30-60-90 triangle (if you don't know what that is, you can look it up).  In a 30-60-90 triangle, the hypotenuse is 2x.  In this case, the hypotenuse is 10 yards, so you can set up an equation given that information:

2x = 10

x = 5

Now that you know x of the 30-60-90 triangle, you can solve for the other two sides of the triangle.

The side directly across from the 30° angle is just x, which is equal to 5.  The side directly across from the 60° angle is x[tex]\sqrt{3}[/tex], which in this case would be 5[tex]\sqrt{3}[/tex].

Because you want the full length of both beams, you'd multiple both sides by two to get the length of both entire beams:

5*2 = 10

(5[tex]\sqrt{3}[/tex])*2 = 10[tex]\sqrt{3}[/tex]

*I hope this makes sense!*

Answer:

The change in delta x would be 0 in the second option because the change is exactly the same.

Answer:

Step-by-step explanation:

Yes

Answer:

yes because for every pound it is $3

Step-by-step explanation:

i know this because 1 times 3 is 3 and 3 times 3 is 9 and 7 times 3 is 21 and 10 times 3 is 30

Answer:

in terms of degree it is linear equation

in terms of number of terms it is binomial

Answer:

volume of cylinder=pi×r²×h

volume of cylinder =3.14×(11ft)²×10ft

volume of cylinder=3799.4ft³

Answer:

626

Step-by-step explanation

Answer:

0.25 is greater than 0.03

Step-by-step explanation:

You can solve this simply by looking for the position of the decimal point.

0.25  >  0.03

Answer:

Step-by-step explanation:

Answer: -32

Step-by-step explanation: -14 - 6 - 12 = -32

Answer: The other 50%

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:

9 square meter

Step-by-step explanation:

1/2xbasexheight

=1/2x6x3

=9

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Answer:

[tex]Area = 1560ft^2[/tex]

Step-by-step explanation:

Given

See attachment for playground

Required

Determine the area

The playground is a trapezoid. So;

[tex]Area = \frac{1}{2}(Sum\ parallel\ sides) * Height[/tex]

From the attachment, the parallel sides are: 68ft and 36ft

The height is: 30ft

So, the area is:

[tex]Area = \frac{1}{2}(68ft + 36ft) * 30ft[/tex]

[tex]Area = \frac{1}{2}(104ft) * 30ft[/tex]

[tex]Area = 52ft * 30ft[/tex]

[tex]Area = 1560ft^2[/tex]

Using the law of sines, the value of q is: D. 72.7.

The law of sines is given as: sin A/a = sin B/b = sin C/c.

Thus, given △PQS, where:

m∠Q = 22°

m∠S = 65°

s = 176

Applying the law of sines, we have:

sin Q/q = sin S/s

Substitute

sin 22/q = sin 65/176

q = (sin 22 × 176)/sin 65

q = 72.7

Therefore, using the law of sines, the value of q is: D. 72.7.

Learn more about the law of sines on:

https://brainly.com/question/2807639

Answer:

Below.

Step-by-step explanation:

The formula for a GS is:

a1, a1r,  a1 r^2, a1r^3 .....

Examples are:

1. First  term a1 =2 and common ratio r = 3, the first 4 terms are:

2,  2*3,  2*3^2,  2*3^3

= 2, 6, 18, 54

2. a1 = 1 , r = 0.5:

1, 0.5,  0.25,  0.125  .....

3. a1 = -4,  r = -2:-

-4,  8, -16,  32  ...

4.  a1 = 0.1,  r = -3:

0.1,  -0.3,  0.9, -2.7 .....

5. a1 = 2, r = 1/3:

2,  2/3,  2/9,  2/27 .....

Answer:

p) = 17/30 or 0.56

q) = 191/60 or 3 11/60

Answer:

13.9%

Step-by-step explanation    :

Converting from a decimal to a percentage is done by multiplying the decimal value by 100 and adding %.

 0.138613961 ------ when multiplying by 100 you move two spots the decimal point:     13.8613961 %

The tenth digit is 8 the number after that is 6  

If the digit after tenth is greater than or equal to 5, add 1 to tenth. Else remove the digit.

6 is greater than 5 so we add 1 to 8 and becomes 9

If the digit  after the tenth was 4 instead 6, for example,then it would be 13.8%

Answer:

C or B

Step-by-step explanation:

Answer:

Your answer is A.

Step-by-step explanation:

You can count the arrow lines as the 2s. Such as, 2, 4, 6, 8 and 10.

So, the line 'x' is being divided by how many lines touching it.

Therefore, it is 1.

Then you add x and 6, the number which the line is ending with.

Your final answer is, F(x) =      1      

                                                x+6

Hope this helped!