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3 years ago

12

Each side of a square is increasing at a rate of 6 cm/s. At what rate is the area of the square increasing when the area of the

square is 16cm^2?

1 answer:

siniylev [52]3 years ago

7 0

<u>Solution:</u> 48cm/s^2

<u>Working:</u>

A = s^2

Derivate s^2 (as it is area formula) which gives

dA/dt = 2s dL/dt

dL/dt = 6cm/s

Hence,

2(6) = 12

Side: 4cm

Hence,

dA/dt = (4)(12) = 48cm/s^2

<em>Feel free to mark this as brainliest :D</em>

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Write a number that is 90,000 greter than 8,304,088

Nina [5.8K]

Well I would just do 8,304,088 + 90,000. So, that would equal 8,394,088 in all. Hope this helped!

3 0

3 years ago

Read 2 more answers

Variable y varies directly with x2, and y = 96 when x = 4.

lakkis [162]

Direct variation is y = kx, where k is the constant of variation.
But now it says y varies directly with x2 (or 2x), so now the x in the equation is 2x.

The equation is y = k(2x)
Now you find k.
y = 96 when x = 4.
(96) = k(2*4)
96 = k(8)
k = 12

The equation is now y = 12(2x)
To find the value of y when x=2, plug 2 into the equation you made. y = 12(2*2) y = 48
_________________
Now it's with a "quadratic variation," which is the same thing except x is squared.
The equation is y = kx^2

But y varies directly with x2 (same thing as 2x), so now it's y = k(2x)^2.

Now you find k by substituting y and x values that were given.
y = 180 when x = 6
(180) = k(2*6)^2
180 = k(12)^2
180 = k(144)
k = 1.25
k, 1.25, is the constant of variation.

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3 years ago

A bucket contains 6 green tennis balls, 2 yellow tennis balls, and 7 red tennis balls. Tony removes 3 tennis balls, with replace

Orlov [11]

Answer:

A. 2/15, 0.40, 0.47

Step-by-step explanation:

6 green tennis balls

2 yellow tennis balls

7 red tennis balls

15 total tenis balls

probability that the first tennis is a yellow ball:

$\frac{2}{15}$

probability that the second tennis ball is green:

$\frac{6}{15} = 0.40$

probability that the third tennis ball is red:

$\frac{7}{15} = 0.4666 = 0.47$

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3 years ago

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valina [46]

By applying Pythagorean's theorem, the missing side of this right-angled triangle is: A. 7√3 inches.

<h3>How to find the missing side?</h3>

By critically observing the triangle shown in the image attached below, we can logically deduce that it is a right-angled triangle. Thus, we would find the missing side by applying Pythagorean's theorem:

z² = x² + y²

Also, the sides of this right-angled triangle are:

Hypotenuse = 14 inches.

Opposite side = x inches.

Adjacent side = 7 inches.

Substituting the given parameters into the formula, we have;

14² = x² + 7²

196 = x² + 49

x² = 196 - 49

x² = 147

x = √147

x = √49 × √3

x = 7√3 inches.

Read more on Pythagorean theorem here: brainly.com/question/23200848

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2 years ago

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nasty-shy [4]

Betty's height versus Jinlan's height is 2:3

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3 years ago