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3 years ago

M is directly proportinal to r^2 when r = 2 m= 14 work out the value of m

Mathematics

1 answer:

attashe74 [19]3 years ago

4 0

Answer:

14?

Step-by-step explanation:

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Answer:

Q (8,0)

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Step-by-step explanation:

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3 years ago

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Juli2301 [7.4K]

The answer would be B
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3 years ago

Now there is a square city of unknown size with a gate at the center of each side. There is a tree 20 b from the north gate. Tha

Brums [2.3K]

Answer:

The length of each side of the city is 250b

Step-by-step explanation:

Given

$a = 20$ --- tree distance from north gate

$b =14$ --- movement from south gate

$c = 1775$ --- movement in west direction from (b)

See attachment for illustration

Required

Find x

To do this, we have:

$\triangle ADE \sim \triangle ACB$ --- similar triangles

So, we have the following equivalent ratios

$AE:DE = AB:CB$

Where:

$AE = 20\\ DE = x/2 \\ AB = 20 + x + 14 \\ CB = 1775$

Substitute these in the above equation

$20:x/2 = 20 + x + 14: 1775$

$20:x/2 = x + 34: 1775$

Express as fraction

$\frac{20}{x/2} = \frac{x + 34}{1775}$

$\frac{40}{x} = \frac{x + 34}{1775}$

Cross multiply

$x *(x + 34) = 1775 * 40$

Open bracket

$x^2 + 34x = 71000$

Rewrite as:

$x^2 + 34x - 71000 = 0$

Expand

$x^2 + 284x -250x - 71000 = 0$

Factorize

$x(x + 284) -250(x + 284)= 0$

Factor out x + 284

$(x - 250)(x + 284)= 0$

Split

$x - 250 = 0 \ or\ x + 284= 0$

Solve for x

$x = 250 \ or\ x =- 284$

x can't be negative;

So:

$x = 250$

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3 years ago

PLEASE HELP ME!! I’m already stressed out and I don’t need people getting on here just for points

Arte-miy333 [17]

Answer:

78.5

Step-by-step explanation:

Formula to find area of a circle: A= pi*raduis to the second power

3.14* $5^{2}$

First you square the 5

You do this by multiplying 5 times itself

3.14*25

Then you multilpy 3.14 and 25

78.5

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3 years ago

Subtract the following decimals. a. 0.98 – 0.053 b. 0.67 – 0.4 c. 0.3 – 0.002 d. 3.2 – .789 e. 6.53 – 4.298 f. 6 – 4.32 g. 7 – 3

noname [10]

Answer:

a. 0.927 b. 0.27 c. 0.298 d. 2.411 e. 2.232 f. 1.68 g. 3.426 h. 3.03 i. 1.9 j. 4.538

Step-by-step explanation:

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3 years ago

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