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
rodikova [14]
2 years ago
8

Find the surface area of composite figure. use 3.14 for π. round to the nearest tenth

Mathematics
1 answer:
ExtremeBDS [4]2 years ago
4 0

Combining of the two cylinders gives a composite figure that has the surface area of a solid cylinder of radius 7 mm and height 6 mm, such that the surface area of the figure is approximately 571.5 mm².

<h3>Which method can be used to find the surface area of the figure?</h3>

Radius of the inner cylinder, <em>r</em> = 3 mm

Radius of the outer cylinder, <em>R</em> = 7 mm

Height of the cylinders, <em>h</em> = 6 mm

Given that the inner cylinder exactly fits into the outer cylinder, we have;

The surface area of the composite figure is the surface area of the hollow outer cylinder + The area of the top and bottom of the inner cylinder.

Which gives;

The surface area of the composite figure, <em>A</em>, is the surface area of a solid cylinder, using the dimensions of the hollow outer cylinder.

  • A = 2•π•R² + 2•π•R•h

Which gives;

  • A = 2 × π × 7² + 2 × π × 7 × 6

Where, π = 3.14, we have;

A = 2 × 3.14 × 7² + 2 × 3.14 × 7 × 6 ≈ 571.5

  • The surface area of the composite figure, <em>A </em>≈ 571.5 mm²

Learn more about the analyzing of composite figures here:

brainly.com/question/21135654

#SPJ1

You might be interested in
8x^3-22x^2-4 divided by 4x-3
MA_775_DIABLO [31]
The answer is 24 because 8 times 3 is 24
3 0
3 years ago
Thank you so much, my friend
ss7ja [257]

Answer:

Step-by-step explanation:

This is quite a doozy, my friend. We will set up a d = rt table, fill it in...and pray.

The table will look like this before we even fill anything in:

            d        =        r        *        t

SUV

sedan

Ok now we start to pick apart the problem. Motion problems are the hardest of all story problems ever. This is because there are about 100 ways a motion problem can be presented. So far what we KNOW for an indisputable fact is that the distance from Georgetown to Greenville is 120 km. So we fill that in, making the table:

             d      =      r      *      t

SUV     120

sedan  120

The next part is derived from the sentence "After an hour, the SUV was 24 km ahead of the sedan." This tells us the rate of the SUV in terms of the sedan. If the SUV is 24 km ahead of the sedan in 1 hour, that tells us that the rate of the sedan is r and the rate of the SUV is r + 24 km/hr. BUT we have other times in this problem, one of them being 25 minutes. We have a problem here because the times either have to be in hours or minutes, but not both. So we will change that rate to km/min. Doing that:

24 \frac{km}{hr} × \frac{1hr}{60min}=.4\frac{km}{min} So now we can fill in the rates in the table:

            d      =      r      *      t

SUV    120    =   r + .4

sedan 120    =     r

They left at the same time, so now the table looks like this:

             d      =      r      *      t

SUV    120     =   r + .4  *      t

sedan  120    =      r      *      t

We will put in the time difference of 25 minutes in just a sec.

If d = rt, then the equation for each row is as follows:

SUV:   120 = (r + .4)t

sedan:   120 = rt

Since the times are the same (because they left at the same time, we will set the equations each equal to t. The distances are the same, too, I know that, but if we set the distances equal to each other and then solve the equations for a variable, the distances cancel each other out, leaving us with nowhere to go. Trust me, I tried that first! Didn't work.

Solving the first equation for time:

sedan:  \frac{120}{r}=t  That's the easy one. Now the SUV. This is where that time difference of 25 minutes comes in from the last sentence. Let's think about what that sentence means in terms of the times of each of these vehicles. If the sedan arrived 25 minutes after the SUV, then the sedan was driving 25 minutes longer; conversely, if the sedan arrived 25 minutes after the SUV, then the SUV was driving 25 minutes less than the sedan. The latter explanation is the one I used in the equation. Again, if the SUV was driving 25 minutes less than the sedan, and the equations are solved for time, then the equation for the SUV in terms of time is

\frac{120}{r+.4}=t-25 and we solve that for t:

\frac{120}{r+.4}+25=t

Again, going off the fact that times they both leave are the same, we set the equations equal to one another and solve for r:

\frac{120}{r+.4}+25=\frac{120}{r}

I began by first multiplying everything through by (r + .4) to get rid of it in the denominator. Doing that:

[r+.4](\frac{120}{r+.4}) +[r+.4](25)=[r+.4](\frac{120}{r}) which simplifies very nicely to

120+25(r+.4)=\frac{120}{r}(r+.4)  So maybe it's not so nice. Let's keep going:

120+25r+10=\frac{120r}{r}+\frac{48}{r} and keep going some more:

130+25r=120+\frac{48}{r} and now we multiply everything through by r to get rid of THAT denominator:

r(130)+r(25r)=r(120)+r(\frac{48}{r}) giving us:

130r+25r^2=120r+48 Now we have a second degree polynomial we have to solve by factoring. Get everything on one side and factor using the quadratic formula.

25r^2+10r-48=0

That factors to

r = 1.2 and r = -1.6 and both of those rates are in km/minute. First of all, we cannot have a negative rate (this is not physics where we are dealing with velocity which CAN be negative) so we throw out the -1.6 and convert the rate of 1.2 km/minute back to km/hr:

1.2\frac{km}{min} × \frac{60min}{1hr} and we get

r = 72 km/h, choice B.

Wow...what a pain THAT was, right?!

5 0
2 years ago
Find dy/dx by implicit differentiation and evaluate the derivative at the given point.xy = 12, (-4, -3)
mojhsa [17]
Xy=12
xdy/dx + y = 12
xdy/dx = 12 - y
dy/dx= (12-y) /x
dy/dx | x=-4 ,y=-3 = (12-(-3))/(-4)
= (12+3)/-4 = -15/4
4 0
3 years ago
A game box for video games is shaped like a rectangular prism.what is the surface area of the game box?
Readme [11.4K]
So what you'll do is multiply the length times the width and add the height to get your answer.
If you don't understand plz message me
If you do understand plz brainlest me 
Thank you!
3 0
3 years ago
Need help in algebra quick
Ierofanga [76]
C I’m pretty sure it’s that if not shame me
6 0
3 years ago
Other questions:
  • What's (8 + 3i)(3 + 5i).
    8·1 answer
  • At a zoo, for every 6 Adult camels, there are 5 baby camels. There are a total of 44 adult and baby camels at the zoo
    8·1 answer
  • <img src="https://tex.z-dn.net/?f=%208%20%5Cfrac%7B7%7D%7B9%7D%20%20%2B%204%20%20%5Cfrac%7B1%7D%7B8%7D%20" id="TexFormula1" titl
    5·2 answers
  • Classify the conclusion of the hypothesis test as a Type I error, a Type II error, or a correct decision. In 1991, the average m
    5·1 answer
  • How many terms are in the expression below?<br> 5x +3 - 3x – 1 + 2x + 5
    9·1 answer
  • Binomial Coefficients (30pts) 1. Write (a + b)^2 as a polynomial in standard form. Show work (FOIL/distributive property).
    15·1 answer
  • Solve for x. Assume that lines are diameters?
    10·2 answers
  • E) What is the measure of
    15·1 answer
  • PLEASE HELP!!
    7·1 answer
  • Irwin has flowering plants in 15% of his garden. Which of the following is equivalent to 15%?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!