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zzz [600]
3 years ago
9

Help me pleaseeeeeeeeee.

Mathematics
2 answers:
Paraphin [41]3 years ago
6 0

Answer:

Step-by-step explanation:

96 maybe

inessss [21]3 years ago
4 0
96 is the correct answer
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Help please! I do not exactly understand how to do this. Thanks!
Radda [10]

X and Y are supplementary, that means X + Y = 180.

But we have, X  = Y +24, then

X + Y = Y + 24 + Y = 2Y + 24 = 180

Then

2Y = 156

Y = 78

Then X = 78 + 24 = 102.

6 0
3 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
If the sum of a number and six is doubled, the result is eight less than the number
LekaFEV [45]
(x+6)2 = x - 8
give me one moment
8 0
3 years ago
Find the area of each parallelogram or triangle
Tems11 [23]

Answer:

Step-by-step explanation:

6 0
2 years ago
What is 5(34)68+76 can u guys give me the answer I really need help
Ratling [72]
5x34= 170
68+76= 144
170+144= 314
4 0
3 years ago
Read 2 more answers
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