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3 years ago

Find the length of the diagonal of a rectangle. Round your answer to nearest tenth.

Mathematics

1 answer:

Marina86 [1]3 years ago

3 0

Answer:

19.2m

Step-by-step explanation:

"Slice" the rectangle into two right triangles (slice along the diagonal). Now you can use the Pythagorean theorem to calculate the length of the diagonal:

$a^{2} +b^{2} =c^{2} \\12^{2}+15^{2} =c^{2} \\144+225=c^{2} \\\sqrt{369} =\sqrt{c^{2} }\\19.2m =c$

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HELP ASAP : Find the largest value of n such that 5x^2+nx+48 can be factored as the product of two linear factors with integer c

Anna71 [15]

Answer:

$n=241$

Step-by-step explanation:

We are given

$5x^2+nx+48$

Let's assume it can be factored as

$5x^2+nx+48=(5x-s)(x-r)$

now, we can multiply right side

and then we can compare it

$5x^2+nx+48=5x^2-5rx-sx+rs$

$5x^2+nx+48=5x^2-(5r+s)x+rs$

now, we can compare coefficients

$rs=48$

$5r+s=-n$

$n=-(5r+s)$

now, we can find all possible factors of 48

and then we can assume possible prime factors of 48

$48=-+(1\times 48)$

$48=-+(2\times 24)$

$48=-+(3\times 16)$

$48=-+(4\times 12)$

$48=-+(6\times 8)$

Since, we have to find the largest value of n

So, we will get consider larger value of r because of 5r

and because n is negative of 5r+s

so, we will both n and r as negative

So, we can assume

r=-48 and s=-1

so, we get

$n=-(5\times -48-1)$

$n=241$

7 0

3 years ago

Put the following equation of a line into slope-intercept form, simplifying all

Brilliant_brown [7]

Answer:

y = -x - 4

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Slope-Intercept Form: y = mx + b

m - slope
b - y-intercept

Step-by-step explanation:

Step 1: Define

x + y = -4

Step 2: Rewrite

Find slope-intercept form

Subtract x on both sides: y = -x - 4

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3 years ago

Over a four day period, Alice received four injections, each containing 22 milliliter of penicillin. In total how many cubic cen

vitfil [10]

The answer is 88 penicillin

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3 years ago

Read 2 more answers

Help me fill this out thanks

tatyana61 [14]

Answer:

As shown in picture, we have

$v = \frac{8\sqrt{3}}{cos 30} = \frac{8\sqrt{3}}{\frac{\sqrt{3}}{2} } = 16$

Hope this helps!

Explanation:

Let say right triangle ABC has A = 90 deg.

=> BC is hypotenuse.

=> BC = AC x BC/AC = AC/(AC/BC) =AC/cosC.

That's the way we've done!

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torisob [31]

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