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3 years ago

The value of x is ____

Mathematics

1 answer:

ruslelena [56]3 years ago

7 0

Answer: x = 96

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Work Shown:

The sum of the exterior angles for any polygon is 360 degrees. So add up the three exterior angles, set the sum equal to 360 and solve for x

130+134+x = 360
264+x = 360
x+264 = 360
x+264-264 = 360-264
x = 96

As a check,
130+134+x = 130+134+96 = 360
so the answer checks out

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A lawn mower is pushed a distance of 100 ft. Along a horizontal path by a constant force of 60 lbs. Yhe handle of the lawn mower

olga2289 [7]

For this case we have the following equation:
w = || F || • || PQ || costheta
Where,
|| F ||: force vector module
|| PQ ||: distance module
costheta: cosine of the angle between the force vector and the distance vector.
Substituting values:
w = (60) * (100) * (cos (45))
w = 4242.640687 lb.ft
Answer:
The work done pushing the lawn mower is:
w = 4242.640687 lb.ft

6 0

3 years ago

there are 36 capenters in a crew. Ona certain day,29 were present .What percent showed up for work?[round to the nearest tenth

aliina [53]

Answer:

Step-by-step explanation:

We assume, that the number 36 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 36, so we can write it down as 100%=36.

4. We know, that x% equals 29 of the output value, so we can write it down as x%=29.

5. Now we have two simple equations:

1) 100%=36

2) x%=29

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=36/29

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29 is what percent of 36

100%/x%=36/29

(100/x)*x=(36/29)*x - we multiply both sides of the equation by x

100=1.24137931034*x - we divide both sides of the equation by (1.24137931034) to get x

100/1.24137931034=x

80.5555555556=x

x=80.5555555556

now we have:

29 is 80.5555555556% of 36 to the nearest tenth is 81%

4 0

2 years ago

Given that circumference of a circle is 44m. Calculate it's area

dimaraw [331]

Answer:

Area=154.062 $m^{2}$

Step-by-step explanation:

As Circumference of a circle is given by;

$C=2\times \pi\times r$

As the circumference is 44m so we can calculate the value of r by using the above formula.

$44=2\times \pi \times r\\\\\frac{44}{2\pi} =r\\\\\implies r=\frac{22}{\pi} =7.003 m$

Now to Calculate the Area of a Circle.

As the area of a circle is,

$Area =\pi \times r^{2}\\ Area=\pi \times (7.003)^{2} \\Area=\pi \times 49.039\\Area=154.062m^{2}$

3 0

2 years ago

Is π^2 greater or less than 7.2?

STatiana [176]

Answer:

less than

Step-by-step explanation:

Well pi divided by 2 is 1.57 and you need to figure out if 7.2 is greater than or less than pi^2 aka 1.57 so theres your ansewr

4 0

2 years ago

Read 2 more answers

Rhian sat a math test and an english test.In the maths test she scored 14 out of 17.In the english test she scored 31 out of 39.

Dvinal [7]

Answer:

The maths test

Step-by-step explanation:

If you convert both of the results to percentage,

Maths:

$\frac{14}{17} \times 100 = 82\%$

English:

$\frac{31}{39} \times 100 = 79\%$

You'll see that she scored better in the maths test.

4 0

3 years ago