1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
adelina 88 [10]
3 years ago
6

Please help I'm desperate :(

Mathematics
1 answer:
zubka84 [21]3 years ago
8 0

Answer:

x=5

Step-by-step explanation:

<u>Similar Triangles</u>

By looking at the construction of the figure, we can safely assume both triangles are similar, i.e. their internal angles are equal and their sides are proportional. Following the proportion of the heights and bases of both triangles we can set this relationship:

\displaystyle \frac{45}{36}=\frac{5x}{20}

Simplifying both fractions

\displaystyle \frac{5}{4}=\frac{x}{4}

Solving for x

x=5

You might be interested in
I need help with thsi pls help
Tresset [83]

First one is ur answer.

I HOPE IT HELPS U.

3 0
2 years ago
Evaluate 4x – 2 if x = 1/2
natta225 [31]
The answer is : 0
:) :)
5 0
3 years ago
Read 2 more answers
You measure a piece of rope and find its length to be 12m . Find the percent error of this measurement
MrRissso [65]

percentage error is .5/12 = 4.17%

Hope this helps!

~LENA~


6 0
3 years ago
Is this a function? Answer only if you know if you put links I will report
evablogger [386]

Answer:

No

Step-by-step explanation:

You can tell if something is a function by checking to see if a vertical line will intersect at one spot more than once. If it does, it is not a function.

3 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
Other questions:
  • For waht value of the variable is 'x' 3 times less than the 45-10x
    9·1 answer
  • It takes the chef 3 hours to bake a turkey.
    14·2 answers
  • A 5 in x 7 in picture is in a frame of uniform width x. The area of the picture and the frame together is 99 in2. How wide is th
    5·2 answers
  • Write an equation in point-slope form for the line through the given point with the given slope.
    15·1 answer
  • Evaluate 5 - 4b if b = -3​
    11·1 answer
  • Find the number if 6% of it is 27
    14·2 answers
  • Please help I’ll give brainliest
    15·1 answer
  • -3 2/3 + 2 2/5=<br> Please help
    15·1 answer
  • Expand and combine like terms. (8n^2+3n^7)(8n^2-3n^7)
    10·1 answer
  • Solve for x.<br><br> -x/3= 2 <br><br> A.x = -6<br> B.x = 6<br> C.x = -1
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!