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2 years ago

A half the radius, or 1/2r

Mathematics

1 answer:

KatRina [158]2 years ago

5 0

Answer:

Step-by-step explanation:

<u>Thanks</u><u> me</u><u> later</u>

<u>correct</u><u> me</u><u> if</u><u> im</u><u> </u><u>wrong</u>

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find three consecutive even integers so that the twice the sum of the second and third is twelve less than six times the first

zysi [14]

n, n + 2, n + 4 - three consecutive even integers

the twice the sum of the second and third: 2[(n + 2) + (n + 4)]

twelve less than six times the first: 6n - 12

The equation:

2[(n + 2) + (n + 4)] = 6n - 12

2(n + 2 + n + 4) = 6n - 12

2(2n + 6) = 6n - 12 <em>use distributive property</em>

(2)(2n) + (2)(6) = 6n - 12

4n + 12 = 6n - 12 <em>subtract 12 from both sides</em>

4n = 6n - 24 <em>subtract 6n from both sides</em>

-2n = -24 <em>divide both sides by (-2)</em>

n = 12

n + 2 = 12 + 2 = 14

n + 4 = 12 + 4 = 16

<h3>Answer: 12, 14, 16</h3>

4 0

3 years ago

PLZZZZZ help A car's gas tank that is 40% full contains 12 gallons of gas. Show the math you used to find the maximum capacity o

Romashka-Z-Leto [24]

<h3><u><em>Answer:</em></u></h3><h3><u><em>30</em></u></h3><h3><u><em>Step-by-step explanation:</em></u></h3><h3><u><em>Answer: 30 gallons</em></u></h3><h3><u><em></em></u></h3><h3><u><em>Step-by-step explanation:</em></u></h3><h3><u><em></em></u></h3><h3><u><em>So fist we add 40% and $40%. That's 80 percent of the tank which is 12 + 12 = 24. </em></u></h3><h3><u><em>Then we figure out half of 40 percent which is 20 which means its 6 gallons. </em></u></h3><h3><u><em>Now we add. 12+12+6 which equals our answer 30 gallons</em></u></h3><h3><u><em></em></u></h3>

3 0

2 years ago

Solve the differential. This was in the 2016 VCE Specialist Maths Paper 1 and i'm a bit stuck

Nimfa-mama [501]

$\sqrt{2 - x^{2}} \cdot \frac{dy}{dx} = \frac{1}{2 - y}$
$\frac{dy}{dx} = \frac{1}{(2 - y)\sqrt{2 - x^{2}}}$

Now, isolate the variables, so you can integrate.
$(2 - y)dy = \frac{dx}{\sqrt{2 - x^{2}}}$
$\int (2 - y)\,dy = \int\frac{dx}{\sqrt{2 - x^{2}}}$
$2y - \frac{y^{2}}{2} = sin^{-1}\frac{x}{\sqrt{2}} + \frac{1}{2}C$

$4y - y^{2} = 2sin^{-1}\frac{x}{\sqrt{2}} + C$
$y^{2} - 4y = -2sin^{-1}\frac{x}{\sqrt{2}} - C$
$(y - 2)^{2} - 4 = -2sin^{-1}\frac{x}{\sqrt{2}} - C$
$(y - 2)^{2} = 4 - 2sin^{-1}\frac{x}{\sqrt{2}} - C$

$y - 2 = \pm\sqrt{4 - 2sin^{-1}\frac{x}{\sqrt{2}} - C}$
$y = 2 \pm\sqrt{4 - 2sin^{-1}\frac{x}{\sqrt{2}} - C}$

At x = 1, y = 0.
$0 = 2 \pm\sqrt{4 - 2sin^{-1}\frac{1}{\sqrt{2}} - C}$
$-2 = \pm\sqrt{4 - 2sin^{-1}\frac{1}{\sqrt{2}} - C}$

$4 - 2sin^{-1}\frac{1}{\sqrt{2}} - C > 0$
$\therefore 2 = \sqrt{4 - 2sin^{-1}\frac{1}{\sqrt{2}} - C}$

$4 = 4 - 2sin^{-1}\frac{1}{\sqrt{2}} - C$
$0 = -2sin^{-1}\frac{1}{\sqrt{2}} - C$
$C = -2sin^{-1}\frac{1}{\sqrt{2}} = -2\frac{\pi}{4}$
$C = -\frac{\pi}{2}$

$\therefore y = 2 - \sqrt{4 + \frac{\pi}{2} - 2sin^{-1}\frac{x}{\sqrt{2}}}$

6 0

3 years ago

A submarine sandwich 1.5 feet long is cut into 0.25 pieces. how many pieces will there be

ale4655 [162]

There would be 1.75 pieces

4 0

3 years ago

Umm plz help with just the first part

harkovskaia [24]

Answer:

Factored form: -2(x + 7) = 8, x = -11 (brainliest)?

Step-by-step explanation:

-2(x + 7) = 8

x + 7 = 8 / -2

x + 7 = -4

x = -4 - 7

= -11

6 0

3 years ago