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3 years ago

How to solve C=2πr for r?

Mathematics

1 answer:

Lubov Fominskaja [6]3 years ago

6 0

C = 2πr

divide by 2π

C/2π = r

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A 2-column table with 4 rows. Column 1 is labeled Store with entries A, B, C, D. Column 2 is labeled Advertised Bread Prices wit

attashe74 [19]

answer is C

Step-by-step explanation:

i got it right and it looked like no one would help you so

6 0

3 years ago

In the ellipse, if c=6cm, and b=8cm, what is the length of the major axis?

kondor19780726 [428]

Answer:

Option B). 10 cm

Step-by-step explanation:

Distance between center and the focus of an ellipse is given by the formula,

c² = a² - b²

where, a = length of the major axis

b = length of the minor axis

and c = distance between focus and center

If c = 6 cm, b = 8 cm,

6² = a² - 8²

a² = 6² + 8²

a² = 36 + 64

a² = 100

a = 10 cm

Therefore, length of the major axis is 10 cm.

Option (B) is the answer.

4 0

3 years ago

One canned orange juice is 25% orange juice another is 5% orange juice. How many liters of each should be mixed together in orde

Cerrena [4.2K]

Answer:

$X = \frac{1.6 - 0.05Y}{0.25}= 6.4 -0.2 Y$ (3)

Replcaing equation (3) into equation (2) we got:

$0.75(6.4 -0.2 Y) +0.95 Y = 18.4$

And solving for Y we got:

$4.8 -0.15 Y +0.95 Y = 18.4$

$0.8 Y = 13.6$

$Y = 17$

And solving for X from equation (3) we got:

$X= 6.4 -0.2*17 = 3$

So we need 3L of orange juice with 25% of concentration and 17 L of orange juice with 5% of concentration

Step-by-step explanation:

For this problem we can work with the concentration of water and orange juice.

Let X the amount for the orange juice with 25% content and Y the amount for the orange juice with 5% of content

Using the concentration of orange juice we have:

$0.25 X + 0.05 Y = 20*0.08$ (1)

And for the water we have:

$0.75 X + 0.95Y = 20*0.92$ (2)

If we solve for X from equation (1) we got:

$X = \frac{1.6 - 0.05Y}{0.25}= 6.4 -0.2 Y$ (3)

Replcaing equation (3) into equation (2) we got:

$0.75(6.4 -0.2 Y) +0.95 Y = 18.4$

And solving for Y we got:

$4.8 -0.15 Y +0.95 Y = 18.4$

$0.8 Y = 13.6$

$Y = 17$

And solving for X from equation (3) we got:

$X= 6.4 -0.2*17 = 3$

So we need 3L of orange juice with 25% of concentration and 17 L of orange juice with 5% of concentration

7 0

3 years ago

Find the set the solves <br> <img src="https://tex.z-dn.net/?f=x%20%2B%20%20%20%5Cfrac%7B2%7D%7Bx%7D%20%20%20%5Cgeq%203" id="Tex

Nady [450]

Hello,
To exist x≠0

if x>0 then
x+2/x>=3==>x²+2>=3x
==>x²-3x+2>=0
==>(x-2)(x-1)>=0 positive out of the roots
==> (x<=1 or x>=2) and x>0
==>(0<x<=1) or (x>=2)
else
x<0
x+2/x>=3==>x²+2<=3x
==>x²-3x+2<=0 negative betheen the roots
==>(1<=x<=2) and x<0 : no solution
end if

4 0

3 years ago

Find an expression for the perimeter of rectangle ABCD. Use the formula P= 2l + 2w.

natita [175]

Answer:

(b)

P = [4(4a + 3b]/(2a + b)

Step-by-step explanation:

P = 2L + 2W

P = [2(5a + 4b) + 2(3a + 2b)]/(2a + b)

P = [10a + 8b + 6a + 4b]/(2a + b)

P = [16a + 12b]/(2a + b)

P = [4(4a + 3b]/(2a + b)

3 0

3 years ago