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2 years ago

Item 2

Mathematics

1 answer:

olasank [31]2 years ago

6 0

Not sure what simp lies firm is

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What relationship exists between N and K? Given: KLMN is a parallelogram.

Alexus [3.1K]

They are the same angle and on opposite sides of the parallelogram

7 0

3 years ago

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Two sides of a triangle are 8 m and 9 m in length and the angle between them is increasing at a rate of 0.06 rad/s. Find the rat

Lelechka [254]

<h2>Rate at which area is increasing is 1.08 m²/s.</h2>

Step-by-step explanation:

Area of triangle is with side a and b and angle C between them is given by

A = 0.5 ab SinC

Here we need to find how area changes with a and b fixed and C is changing,

$\frac{dA}{dt}=\frac{d}{dt}\left (0.5 absinC\right )\\\\\frac{dA}{dt}=0.5ab\frac{d}{dt}\left (sinC\right )\\\\\frac{dA}{dt}=0.5abcosC\frac{dC}{dt}$

We have

a = 8 m

b = 9 m

$C=\frac{\pi}{3}rad\\\\\frac{dC}{dt}=0.06rad/s$

Substituting

$\frac{dA}{dt}=0.5\times 8\times 9\times cos\left ( \frac{\pi}{3}\right )\times 0.06\\\\\frac{dA}{dt}=1.08m^2/s$

Rate at which area is increasing is 1.08 m²/s.

4 0

3 years ago

Suppose you can make your own ice cream cone by choosing the type of cone, the flavor of ice cream, and the toppings. The number

Y_Kistochka [10]

Answer:

ELHLADOE

Step-by-step explanation:

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2 years ago

Madison arrived at work at 8:00 AM. She went out for lunch at 11:00 AM. She returned at 12:00 PM and worked until 4:00 PM. How m

goblinko [34]

C-7 hours, 0 minutes because between 8 and 11 are 3 hours and between 12 and 4 are 4 hours. 3+4= 7 hours

8 0

3 years ago

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The larger of two numbers is 7 times the smaller number. Three times the larger number is 7 more than 4 times the smaller number

Juliette [100K]

Let the smaller number be x.

Given, the larger number is 7 times the smaller number.

So, the larger number = 7x.

Given, 3 times the larger number is 7 more than 4 times the smaller number.

So we can write the equation as,

$3(7x) = 4(x)+7$

$3(7x) = 4x+7$

$21x = 4x+7$

Now we have to move 4x to the left side by subtracting 4x from both sides.

$21x-4x = 4x-4x+7$

$21x-4x = 7$

$17x = 7$

To get x, we will divide both sides by 17. We will get,

$\frac{17x}{17} = \frac{7}{17}$

$x = \frac{7}{17}$

So the smaller number = $\frac{7}{17}$

The larger number = $7(\frac{7}{17} )$ = $\frac{49}{17}$

So we have got the required numbers.

Smaller number = $\frac{7}{17}$ and larger number = $\frac{49}{17}$ .

4 0

3 years ago