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3 years ago

What would F^-1(-2) equal

Mathematics

1 answer:

Reil [10]3 years ago

4 0

Answer:

I hope this helps:)

Step-by-step explanation:

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Area of regular polygons

Finger [1]

Hello!

To find the area of a hexagon you do 3 $\frac{3 \sqrt{3} }{2} } a^{2}$ where a is one of the sides

Since the perimeter is 60 we can do 60/ the sides of the shape

60/6 = 10

So one side is equal to 10

you put that into the formula to get the area of a hexagon and you get 259.81

Hope this helps!

8 0

3 years ago

Pls guys help me pls :c

Vinil7 [7]

Answer: A. $x\geq21\dfrac{2}{3}$ .

Step-by-step explanation:

The given inequation: $81-1\dfrac{1}{5}x\leq55$

$\Rightarrow\ 81-\dfrac{6}{5}x\leq55$

Multiplying 5 on both the sides, we get

$5(81-\dfrac{6}{5}x)\leq5\times55\\\\\Rightarrow\ 405-6x\leq275\\\\\Rightarrow\ 6x\geq405-275\\\\\Rightarrow\ 6x\geq130\\\\\Rightarrow\ x\geq\dfrac{130}{6}\\\\\Rightarrow\ x\geq\dfrac{65}{3}\\\\\Rightarrow\ x\geq21\dfrac{2}{3}$

Hence, the inequality for x is $x\geq21\dfrac{2}{3}$ .

So, the correct option is A. $x\geq21\dfrac{2}{3}$ ..

8 0

3 years ago

If x is a rational number and y is the opposite of x,why do x y have the same absolute value?

olga2289 [7]

They have the same absolute value because all opposites have the same absolut value because they both are the same distance from zero

5 0

3 years ago

Find the solution of the differential equation that satisfies the given initial condition. y' tan x = 3a + y, y(π/3) = 3a, 0 &lt

Paladinen [302]

Answer:

$y(x)=4a\sqrt{3}* sin(x)-3a$

Step-by-step explanation:

We have a separable equation, first let's rewrite the equation as:

$\frac{dy(x)}{dx} =\frac{3a+y}{tan(x)}$

But:

$\frac{1}{tan(x)} =cot(x)$

So:

$\frac{dy(x)}{dx} =cot(x)*(3a+y)$

Multiplying both sides by dx and dividing both sides by 3a+y:

$\frac{dy}{3a+y} =cot(x)dx$

Integrating both sides:

$\int\ \frac{dy}{3a+y} =\int\cot(x) \, dx$

Evaluating the integrals:

$log(3a+y)=log(sin(x))+C_1$

Where C1 is an arbitrary constant.

Solving for y:

$y(x)=-3a+e^{C_1} sin(x)$

$e^{C_1} =constant$

So:

$y(x)=C_1*sin(x)-3a$

Finally, let's evaluate the initial condition in order to find C1:

$y(\frac{\pi}{3} )=3a=C_1*sin(\frac{\pi}{3})-3a\\ 3a=C_1*\frac{\sqrt{3} }{2} -3a$

Solving for C1:

$C_1=4a\sqrt{3}$

Therefore:

$y(x)=4a\sqrt{3}* sin(x)-3a$

3 0

3 years ago

WILL GIVE MEDAL!! A flight of stairs is supported by two columns as shown. What is the distance from the base of the stairs to t

adell [148]

I saw the image. It formed 2 right triangles. 1 small and 1 big.
small triangle has a long leg of 4 feet and hypotenuse of 6 feet.
big triangle has a long leg of (x) and hypotenuse of 6 + 12 ft.

proportion:

4/6 = x / 18
4 * 18 = 6x
72 = 6x
72/6 = x
12 = x

The distance from the base of the stairs to the tallest column is 12 feet.

6 0

3 years ago