When constructing inscribed polygons, how can you be sure the figure inscribed is a regular polygon

Zielflug [23.3K]

Answer: oh gosh, rlly bad at math... let me do the maths quick, and will edit my answer to the correct answer i dont have enough time, -7a+11

Step-by-step explanation:

4 0

3 years ago

There are 3 strawberry yoghurts, 2 peach yoghurts and 4 cherry yoghurts in a fridge.

wlad13 [49]

Step-by-step explanation:It says:

There are 3 strawberry yoghurts, 2 peach yoghurts and 4 cherry yoghurts in a fridge.

Kate takes a yoghurt at random from the fridge.

She eats the yoghurt.

She then takes a second yoghurt at random from the fridge.

Work out the probability that both yoghurts were the same flavour.

6 0

3 years ago

Read 2 more answers

NEED HELP WITH THIS PLEASE

marin [14]

Answer:

-25 + 75 = 50

Step-by-step explanation:

Since we don't know the value of the bar, we will call it x.

-25 + x = 50

Add 25 to both sides to find the value of x.

x = 75

You can also double check this answer by doing simple math.

-25 + 75 = 50

7 0

3 years ago

Read 2 more answers

A metal cylinder can with an open top and closed bottom is to have volume 4 cubic feet. Approximate the dimensions that require

Aleksandr-060686 [28]

Answer:

$r\approx 1.084\ feet$

$h\approx 1.084\ feet$

$\displaystyle A=11.07\ ft^2$

Step-by-step explanation:

<u>Optimizing With Derivatives </u>

The procedure to optimize a function (find its maximum or minimum) consists in :

Produce a function which depends on only one variable
Compute the first derivative and set it equal to 0
Find the values for the variable, called critical points
Compute the second derivative
Evaluate the second derivative in the critical points. If it results positive, the critical point is a minimum, if it's negative, the critical point is a maximum

We know a cylinder has a volume of 4 $ft^3$ . The volume of a cylinder is given by

$\displaystyle V=\pi r^2h$

Equating it to 4

$\displaystyle \pi r^2h=4$

Let's solve for h

$\displaystyle h=\frac{4}{\pi r^2}$

A cylinder with an open-top has only one circle as the shape of the lid and has a lateral area computed as a rectangle of height h and base equal to the length of a circle. Thus, the total area of the material to make the cylinder is

$\displaystyle A=\pi r^2+2\pi rh$

Replacing the formula of h

$\displaystyle A=\pi r^2+2\pi r \left (\frac{4}{\pi r^2}\right )$

Simplifying

$\displaystyle A=\pi r^2+\frac{8}{r}$

We have the function of the area in terms of one variable. Now we compute the first derivative and equal it to zero

$\displaystyle A'=2\pi r-\frac{8}{r^2}=0$

Rearranging

$\displaystyle 2\pi r=\frac{8}{r^2}$

Solving for r

$\displaystyle r^3=\frac{4}{\pi }$

$\displaystyle r=\sqrt[3]{\frac{4}{\pi }}\approx 1.084\ feet$

Computing h

$\displaystyle h=\frac{4}{\pi \ r^2}\approx 1.084\ feet$

We can see the height and the radius are of the same size. We check if the critical point is a maximum or a minimum by computing the second derivative

$\displaystyle A''=2\pi+\frac{16}{r^3}$

We can see it will be always positive regardless of the value of r (assumed positive too), so the critical point is a minimum.

The minimum area is

$\displaystyle A=\pi(1.084)^2+\frac{8}{1.084}$

$\boxed{ A=11.07\ ft^2}$

8 0

3 years ago

Write the phrase as an expression. Then evaluate when y=20.

alisha [4.7K]

Answer:

$Q=\frac{40}{y-16}$

$Q=10$

Step-by-step explanation:

Let the quotient be represented by 'Q'.

Given:

The difference of a number 'y' and 16 is $y-16$

Quotient is the answer that we get on dividing two terms. Here, the first term is 40 and the second term is $y-16$ . So, we divide both these terms to get an expression for 'Q'.

The quotient of 40 and $y-16$ is given as:

$Q=\frac{40}{y-16}$

Now, we need to find the quotient when $y=20$ . Plug in 20 for 'y' in the above expression and evaluate the quotient 'Q'. This gives,

$Q=\frac{40}{20-16}\\Q=\frac{40}{4}=10$

Therefore, the quotient is 10, when the value of 'y' is 20.

7 0

4 years ago