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3 years ago

Determine the circumference of a circle with a radius of 6.8. Round your answer to the tenths place.

Mathematics

2 answers:

vladimir1956 [14]3 years ago

8 0

Answer:

42.7

Step-by-step explanation:

Formula for Circumference of a circle is C=2πr

π=3.14

radius/r=6.8

C= 2*3.14*6.8

C=42.704

Round to 42.7

Eva8 [605]3 years ago

5 0

Answer:

42.73

Step-by-step explanation:

2*pi*r = 2*pi*6.8=42.73

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MARSVECTORCALC6 3.4.020. My Notes A rectangular box with no top is to have a surface area of 64 m2. Find the dimensions (in m) t

ioda

Answer:

We would have

$l =w =\frac{8\sqrt{3}}{3} \\h = \frac{8\sqrt{3}}{6}$

where " l " is length, " w" is width and "h" is height.

Step-by-step explanation:

Step 1

Remember that

Surface area for a box with no top = $lw+2lh+2wh = 64$

where " l " is length, " w" is width and "h" is height.

Step 2.

Remember as well that

Volume of the box = $l*w*h$

Step 3

We can now use lagrange multipliers. Lets say,

$F(l,w,h) = lwh$

and

$g(l,w,h) = lw+2lh+2wh = 64$

By the lagrange multipliers method we know that

$\nabla F = \lambda \nabla g$

Step 4

Remember that

$\nabla F = (wh,lh,lw)$

and

$\nabla g = (w+2h,l+2h , 2w+2l)$

So basically you will have the system of equations

$wh = \lambda (w+2h)\\lh = \lambda (l+2h)\\lw = \lambda (2w+2l)$

Now, remember that you can multiply the first eqation, by "l" the second equation by "w" and the third one by "h" and you would get

$lwh = l\lambda (w+2h)\\\\lwh = w\lambda (l+2h)\\\\lwh = h\lambda (2w+2l)$

Then you would get

$l\lambda (w+2h) = w\lambda (l+2h) = h\lambda (2w+2l)$

You can get rid of $\lambda$ from these equations and you would get

$lw+2lh = lw+2wh = 2wh+2lh$

And from those equations you would get

$l = w =2h$

Now remember the original equation

$lw+2lh+2wh = 64$

If we plug in what we just got, we would have

$l^{2} + l^{2} + l^2 = 64 \\3l^{2} = 64 \\l = w = \frac{8\sqrt{3} }{3} \\h = \frac{8\sqrt{3} }{6}$

7 0

3 years ago

Find The Area of triangle ABC

Sergeeva-Olga [200]

Answer:

b. area = 18 square units

Step-by-step explanation:

area of a triangle = 1/2 * base * height

area = 1/2 (6+3) + (6-2)

area = 1/2 * 9 * 4

area = 18 square units

therefore the answer is b.

3 0

3 years ago

Solve the problem.<br> Find the diameter of a circle that has a circumference of 942 meters.

solong [7]

The answer to the problem is 299.85 m.

3 0

3 years ago

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abruzzese [7]

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3 years ago

Factorise the given question: 3p^-7p-6

My name is Ann [436]

Answer:

(p−3)⋅(3p+2)

Step-by-step explanation:

STEP 1 :

Equation at the end of step 1

(3p2 - 7p) - 6

STEP 2 :

Trying to factor by splitting the middle term

2.1 Factoring 3p2-7p-6

The first term is, 3p2 its coefficient is 3 .

The middle term is, -7p its coefficient is -7 .

The last term, "the constant", is -6

Step-1 : Multiply the coefficient of the first term by the constant 3 • -6 = -18

Step-2 : Find two factors of -18 whose sum equals the coefficient of the middle term, which is -7 .

-18 + 1 = -17

-9 +2 = -7 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 2

3p2 - 9p + 2p - 6

Step-4 : Add up the first 2 terms, pulling out like factors :

3p • (p-3)

Add up the last 2 terms, pulling out common factors :

2 • (p-3)

Step-5 : Add up the four terms of step 4 :

(3p+2) • (p-3)

Which is the desired factorization

Final result :

(p - 3) • (3p + 2)

7 0

3 years ago