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2 years ago

8

The circumference of circle p is 800 mm, the circumference of circle q is 200 cm, and the circumference of circle r is 4 m. What

is the sum of the distance around each circle

1 answer:

shepuryov [24]2 years ago

7 0

Let us use the following conversions:

1 cm = 10 mm

1 meter = 100 cm = 1000 mm

Given:

p = 800 mm

q = 200 cm = 2000 mm

r= 4 m = 4000

X = sum of the distance around each circle

X = p+q+r

X = 800+2000+4000

<span>X = 6800 mm or 680 cm or 6.80 m</span>

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Find the product of all real values of r for which 1/2x=r-x/7

Dahasolnce [82]

Answer:

$r = \±\sqrt{14$

$Product = -14$

Step-by-step explanation:

Given

$\frac{1}{2x} = \frac{r - x}{7}$

Required

Find all product of real values that satisfy the equation

$\frac{1}{2x} = \frac{r - x}{7}$

Cross multiply:

$2x(r - x) = 7 * 1$

$2xr - 2x^2 = 7$

Subtract 7 from both sides

$2xr - 2x^2 -7= 7 -7$

$2xr - 2x^2 -7= 0$

Reorder

$- 2x^2+ 2xr -7= 0$

Multiply through by -1

$2x^2 - 2xr +7= 0$

The above represents a quadratic equation and as such could take either of the following conditions.

(1) No real roots:

This possibility does not apply in this case as such, would not be considered.

(2) One real root

This is true if

$b^2 - 4ac = 0$

For a quadratic equation

$ax^2 + bx + c = 0$

By comparison with $2x^2 - 2xr +7= 0$

$a = 2$

$b = -2r$

$c =7$

Substitute these values in $b^2 - 4ac = 0$

$(-2r)^2 - 4 * 2 * 7 = 0$

$4r^2 - 56 = 0$

Add 56 to both sides

$4r^2 - 56 + 56= 0 + 56$

$4r^2 = 56$

Divide through by 4

$r^2 = 14$

Take square roots

$\sqrt{r^2} = \±\sqrt{14$

$r = \±\sqrt{14$

Hence, the possible values of r are:

$\sqrt{14$ or $-\sqrt{14$

and the product is:

$Product = \sqrt{14} * -\sqrt{14}$

$Product = -14$

8 0

2 years ago

WILL MARK BRAINLIEST EASY 6th grade math Use the distributive property to express 36 + 16. *

Aleks04 [339]

Answer:

4 (9+4)

Step-by-step explanation:

its 4(9+4) because we are trying to make 36+16

4(8+5) is the same answer but it would be 32+20

while 4(9+4) would be 36+16

4 0

2 years ago

Read 2 more answers

[79 points if correct]<br>Help me with any 4 questions!<br>Please !!!!

Anarel [89]

<u>Answer:</u>

<u>(BEFORE YOU SUBMIT IT, PLEASE READ THE WARNING)</u>

QUESTION EIGHT: 2690

QUESTION NINE: 120

QUESTION ELEVEN: 12.5

QUESTION FOURTEEN: 24

<u>Step-by-step explanation:</u>

<u>WARNING!! FOR QUESTIONS WITH INTEREST: I do not know if interest is good or bad (if you get money, or if you lose money. I counted interest as making money, but if you are sure it's not, contact me in the comments and I will solve it again! :)</u>

8.

may 3rd -> july 15th = 73 days

500*0.06 = 30

30 = how much he makes in one day (so he has 530 after 1 day)

30*73 = 2190

500 + 2190 = 2690

9.

210/7 = 30

1% for 3 years = 30

1% for 1 year = 10

100% for 1 year = 1000

2000*0.06 = 120

11.

54,000*0.08 = 4320

54,000/4320 = 12.5

14.

5000*6.26% = 312.5

7500/312.5 = 24

5 0

3 years ago

A2+5a+6=0<br><img src="https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B2%7D%20%20%2B%205a%20%2B%206%20%3D%200" id="TexFormula1" title="

Katarina [22]

we are given

$a^2+5a+6=0$

we can use factoring formula

$a^2-(m+n)a+mn=(a-m)(a-n)$

we can compare

and we get

$m+n=-5$

$mn=6$

now, we can solve for m and n

and we get

$m=-3 , n=-2$

now, we can use formula

and we get

$a^2+5a+6=(a+3)(a+2)$

now, we can set it equal to 0

$a^2+5a+6=(a+3)(a+2)=0$

$(a+3)=0$

$a=-3$

$a+2=0$

$a=-2$

so, we will get

$a=-2,a=-3$ .............Answer

3 0

2 years ago

Read 2 more answers

wlad13 [49]

Answer:

No Solutions

Step-by-step explanation:

First to complete the square, it will need to look something like

a^2+2ab+b^2

so in order to get that we can see that 4n^2+8n seems to be missing a piece.

a is the square root of 4n^2 which is 2n.

8n/2n=4

4/2=2

b=2

so now add 2 to both sides of the equation so now it's

4n^2+8n+4=-13

rewrite as (2n+2)^2=-13

Now you see a negative number as the result of a exponent.

A number squared will never be negative.

Therefore the answer is

No Solutions

7 0

1 year ago