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balandron [24]
3 years ago
10

Two ropes are attached to the bumper of a car. Rope A is pulled with a force of 60 pounds at an angle of 30° to the horizontal g

round, and rope B is pulled with a force of 80 pounds at an angle of 15° to the horizontal ground. The same effect can be produced by a single rope pulling with what force and at what angle to the ground?
Mathematics
1 answer:
lbvjy [14]3 years ago
8 0
<span>The forces caused by these two ropes could be equally produced by a single rope pulling at 138.82 pounds at an angle of 21.42 degrees to the horizontal ground. This can be found by considering each rope as the hypotenuse of a triangle. One leg of these triangles is the ground, and the other is perpendicular to the ground. Using Sine and Cosine you can find the components of the force in the horizontal and vertical directions. These are then added to find the resultant force components. The pythagorean theorem can then be used to find the net force of 138.82 pounds, and inverse tangent can be used to find the resultant angle of 21.42 degrees. *These calculations were done to two significant digits. If more precision is desired you can repeat these calculations to the desired number of significant digits.</span>
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I need help I’m struggling
andrew-mc [135]
All you need for a point to be left unchanged is it being on the line of reflection. (Generally speaking)

The first one is wrong cause you can have a line of reflection anywhere. If the line is horizontal ( x axis) then the slope would be zero. Whereas a line on y axis would be an undefined slope. There are also diagonal lines of reflections which have slopes

I am pretty sure the second one would be correct because, as previously stated, all the line needs to stay in the same place is it being on the line of reflection.

Again, lines of reflection do not have a set slope, a diagonal line of reflection going like / on the chart through the axis could have a slope of one, but it is not needed for the point to remain in the same place

The point does not necessarily need to be on the origin, it can be anywhere on the line of reflection, and if the line of reflection does not pass through the origin, a point on the origin would be moved in a reflection.

I hope this makes sense and helps you out a bit... have a good day
8 0
3 years ago
The mean of 100 observation is found to be 40. If at the time of compution two items were wrongly taken as 30 and 27 instead of
Colt1911 [192]

Answer:

40.18

Step-by-step explanation:

According to this question, the mean of 100 observation is found to be 40. This means that the number of values in the set of data is 100. However, at the time of computation two items were wrongly taken as 30 and 27 instead of 3 and 72.

The mean is derived by dividing the sum of values in the data (Σx) by the number of observations (n) i.e.

Mean = Σx/n

For the computation error:

Mean = 40

Let x represent the sun of other 98 values except 30 and 27

n = 100

40 = x + 30 + 27/100

40 = 57 + x/100

Cross multiply

4000 = 57 + x

x = 4000 - 57

x = 3943.

Sum of other 98 values = 3943.

Now, let's find the correct mean with correct values of 3 and 72;

Mean = Σx/n

Mean = 3943 + 3 + 72/100

Mean = 4018/100

Mean = 40.18

7 0
2 years ago
Please help on this i cant understand it
poizon [28]

Answer:

to get the probability you add the number of figure all together

divide the number of spheres with the total

ie

2 ÷ 10

you get 1÷ 5

you get the answer as 0.2

5 0
2 years ago
What is equivalent to 13 - √-18?<br><br> 4<br> 13 - 9i<br> 13 + 9i<br> 22
beks73 [17]
√-1=i

13-√-18=
13-√(-1)(18)=
13-(√-1)(√18)=
13-(i)(3√2)=
13-3i√2
8 0
3 years ago
Who knows how to do this ​
IgorC [24]

Answer:

<h2>144 {cm}^{2}</h2>

Step-by-step explanation:

Given,

As we know that the all sides of the square are equal.

Length of a square paper = 12 cm

Area of square = ?

Now, let's find the area of square

=  {l}^{2}

plugging the value of length,

{(12)}^{2}

Evaluate the power

= 144 square cm

Hope this helps...

Best regards!!

7 0
3 years ago
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