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3 years ago

The distance from the normal hairline to the base of the nose is equal to to the distance from the base of the chin to the

1 answer:

8 0

The answer is eyebrow. According to a research, the mean distance from chin to nose was 6.96 cm. The mean distance from nose to eyebrows was 6.55 cm. The mean space from eyebrows to hairline was 6.8 cm. while, the space from chin to hairline was 20.3 cm.

You might be interested in

What is 3x+8 if x=8

Mazyrski [523]

Answer:

y=32

Step-by-step explanation:

y=3(8)+8

y=24+8

24+8=32

y=32

4 0

2 years ago

Read 2 more answers

What is the area of the triangle? 20 16 12 heh sorry !!!!!!

Delvig [45]

Answer:

96 units^2

Step-by-step explanation:

The formula for the area of a triangle: b*h/2

b= 12

h= 16

Work:

12*16/2

192/2

96 uints^2

6 0

3 years ago

Read 2 more answers

A standard container measures 2.4 m by 2.4 m by 6 m.

ella [17]

Answer:

34.56

Step-by-step explanation:

5 0

2 years ago

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

2 years ago

We know that February has either 28 or 29 days, but there is a year in the future, February will have 30 days

Karo-lina-s [1.5K]

Answer:

The year 2020 is a leap year, which means February will have 29 days rather than 28, and the overall number of days will be 366 rather than 365. This was also the case in 2016, and the year 2024 will be a leap year once more.

Step-by-step explanation:

5 0

3 years ago