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3 years ago

What’s the approximate circumference of a circle with radius 10 feet?

Mathematics

2 answers:

Elis [28]3 years ago

8 0

Answer: C≈62.83ft

Step-by-step explanation:

simply take your radius and times it by 2 and you get 20. then times twenty by pi.

KonstantinChe [14]3 years ago

6 0

Approximate circumference of circle is $20\pi$ feet that is 62.8 feet.

Solution :

Need to determine approximate circumference of a circle with radius as 10 feet.

So given that radius of circle = 10 feet

Circumference of circle is product of constant $2\pi$ with radius of circle r.

=> Circumference of circle = $2\pi r$

On substituting the value of radius, we get circumference

So circumference of a circle of radius 10 feet = $2\pi \times 10 = 20\pi$

Taking $\pi$ = 3.14, we get circumference = 20 x 3.14 = 62.8 feet

Hence approximate circumference of circle is $20\pi$ feet that is 62.8 feet.

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What is -3/1 2 -2 3.

zlopas [31]

Answer:

Step-by-step explanation:

Exact Form:

17/6

Decimal Form:

2.83

Mixed Number Form:

2 5/6

8 0

3 years ago

Evaluate the surface integral. S xz ds, s is the part of the plane 2x 2y z = 4 that lies in the first octant

maksim [4K]

The value of the given surface integral is 4.

The given plane intercepts the coordinate axes at (2, 0, 0), (0, 2, 0), and (4, 0, 0). These point are the coordinates of a triangular region that we can parameterize using.

$S(u,v)=(1-u)((1-u)(2,0,0)+u(0,2,0)+u(4,0,0)\\S(u,v)=(2(1-u)(1-v),2u(1-v),4v)$

<h3>What is the surface integral?</h3>

A surface integral is a generalization of multiple integrals to integration over surfaces. It can be thought of as the double integral analog of the line integral. Given a surface, one may integrate a scalar field over the surface or a vector field.

with 0≤u≤1 and 0≤v≤1. Then the surface element ds is equivalent to

$ds=\||\:\left(s_u\times \:\:S_v\right)||dudv=12\left(1-v\right)dudv$

The surface integral is then

$\int \:\int \:_Sxzds=12\int _0^1\:\int _0^1\:\left(2\left(1-u\right)\left(1-v\right),2u\left(1-v\right),4v\right)dvdu=4$

Therefore the value of the given surface integral is 4.

To learn more about the integral visit:

brainly.com/question/14295614

#SPJ2

6 0

2 years ago

NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.No guessing please.

dedylja [7]

Answers:

10
decrease
increase
does
incorrect

So it would look like this:

The MAD of the data in the table is  10 .If the additional drawings are Amy's, the MAD of the date set will  decrease .If they are Emily's, the MAD will  increase .The MAD of the new data set  does  depend on whether it was Amy or Emily who turned in the additional drawings. So, Greg is  incorrect .

==========================================================

Explanation:

The MAD will have us find the mean first, which I'll call xbar

To find xbar, we add up the values and then divide by n which is the number of items in the set.

xbar = (sum of items)/n

xbar = (6+34+35+37+43)/5

xbar = 155/5

xbar = 31

Then we'll subtract this xbar from from each x value of the data set. Use absolute value bars to make sure the result isn't negative. This forms the third column in each table shown below. The value in yellow is the average of the stuff in the third column (ignoring the yellow value itself of course). So that's how we get a MAD of 10 for the original data set.

--------------------

When we consider case 1, which is where Amy made those 25 additional drawings, then her count goes from 6 to 6+25 = 31. We repeat the steps earlier and we get a MAD of 3.2, which is a decrease from 10 earlier.

Why is this? Well notice how Amy's count, before those 25 extra drawings were done, was far lower than the rest of the class. Her being an outlier will make the MAD fairly big. The larger the MAD, the more spread out the data is. If you condense the data set, then the MAD shrinks.

-----------------------

Now onto case 2. We'll reset Amy's count back to 6 and instead add 25 to Emily's count to go from 43 to 43+25 = 68

This will increase the MAD because we're effectively spreading the data out more (since Emily's value is becoming more of an outlier). The same steps to compute the MAD will be done as earlier. This time we get 13.2 as the MAD.

-----------------------

Referring back to the previous 2 sections, we can see that the MAD of the new set will depend on whether Amy or Emily submitted those 25 extra drawings. Therefore, Greg is incorrect in thinking that the MAD will stay the same.

The only time the MAD stays the same is if we can keep the spread of the data the exact same. That would mean we have to add the same number to each person to keep things balance. Think of it like a see-saw. If we add something to one side, then we have to do the same thing to the other side; otherwise, things will change.

8 0

3 years ago

Read 2 more answers

What additional information would you need to prove by the HL theorem?

Butoxors [25]

Answer:

Answer: A $\overline{TM}\cong \overline{OR}$

Step-by-step explanation:

The HL Theorem states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.

Triangles TRO and OMT share the hypotenuse, so the first part of the theorem is met.

Both triangles are right because they have an internal angle of 90°, so the second condition is also met.

Since there is no indication of any leg to be congruent to another leg, we need additional information to prove that both triangles are congruent.

One of these two conditions should be met:

Side TM is congruent to side OR, or

Side MO is congruent to side RT.

From the available options, only the first is correct.

Answer: A $\mathbf{\overline{TM}\cong \overline{OR}}$