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
Gnoma [55]
3 years ago
11

Juan wants to know the cross-sectional area of a circular pipe. He measures the diameter which he finds, to the nearest millimet

er, to be 5 centimeters.
To find the area of the circle, Juan uses the formula where A is the area of the circle and r is its radius. He uses 3.14 for π. What value does Juan get for the area of the circle? Make sure you include your units.
Mathematics
1 answer:
Zanzabum3 years ago
3 0

Answer:

Step-by-step explanation:

Hi there,

To get started, recall the area of a bound circle formula:

A = \pi r^{2}    where r is radius of the circle. However, Juan used an approximate value of π, 3.14. So for our purposes, the formula becomes:

A= (3.14)r^{2}

Juan measured the circle's <em>diameter</em>, so we can find radius from diameter first. Radius is simply twice the length of the diameter; from one circle endpoint to the center, to the endpoint across, making a straight line:

d=2r ⇒ r=\frac{d}{2} = \frac{5 \ cm}{2}  = 2.5 \ cm

Now plug in to obtain area:

A = (3.14)(2.5 cm)^{2} =19.625 \ cm^{2}

The area is 19.265 centimetres squared.

Cross-sections are the area shapes when you cut through a 3D volume; if you cut through a pipe perpendicular to where it flows, you can see it is a circle! If you cut straight through a cube, it would be a square, etc.

If you liked this solution, hit Thanks or give a Rating!

thanks,

You might be interested in
What does DE equal to ?
guajiro [1.7K]
The answer to your question should be EF
4 0
3 years ago
Adding fractions with unlike denominators​
hodyreva [135]
Multiply the 3 times 4. Then do the same on the top.
8 0
3 years ago
Can someone please explain to me how to get this answer?
SIZIF [17.4K]
Answers:
A = 120
b = 45.0
c = 33.2

Side Note: only one triangle is possible
See attached for a visual. I used GeoGebra to draw the triangle.

-------------------------------------------------------------
-------------------------------------------------------------

Explanation:

We are given the following information
B = 35
C = 25
a = 68

We need to find the following
A, b, c

where the lower case letters represent the side lengths; the upper case letters are the angles. The angles are opposite their corresponding sides. For instance, side lowercase b is opposite angle uppercase B. The other letters are positioned the same way.

-----------------------

First use the idea that for any triangle, the three angles (A,B,C) must add to 180 degrees
A+B+C = 180
Replace B and C with 35 and 25. Solve for angle A
A+35+25 = 180
A+60 = 180
A+60-60 = 180-60
A = 120

Now that we know the three angles A = 120, B = 35, C = 25, we can find the missing sides 'b' and 'c'

-----------------------

We will use the law of sines to find side b
sin(A)/a = sin(B)/b
sin(120)/68 = sin(35)/b
b*sin(120) = 68*sin(35) <<--- cross multiply
b = 68*sin(35)/sin(120)
b = 45.037013350222 <<--- use a calculator; this value is approximate
b = 45.0 <<--- round to the nearest tenth

-----------------------

Do the same for side c
sin(A)/a = sin(C)/c
sin(120)/68 = sin(25)/c
c*sin(120) = 68*sin(25) <<--- cross multiply
c = 68*sin(25)/sin(120)
c = 33.1838323365404 <<--- use a calculator; this value is approximate
c = 33.2 <<--- round to the nearest tenth

4 0
3 years ago
Read 2 more answers
Eduardo spent half of his weekly allowance on clothes. To earn more money his parents let him weed the garden for $8. What is hi
lbvjy [14]

Answer: his weekly allowance is $8

The model to solve the problem is

X/2+8=12

Step-by-step explanation:

To get Eduardo's weekly allowance

Say it is x

Now he spent half of x on clothes and earns extra $8 more to end up with $12

Therefore

x/2+8=12

x/2=12-8

x/2=4

x=8

7 0
3 years ago
Read 2 more answers
Answer all please i need help
Agata [3.3K]
4.AR
6.is angle B
7.KB
3 0
3 years ago
Other questions:
  • A rectangular prism has a base with an area of 200 cm. The volume of the prism is 3,000 cm. What id the height of the prism?
    14·1 answer
  • I need help with number 1 please help
    6·1 answer
  • 7. Consider the purchase of two cereal boxes.
    11·1 answer
  • The corner store sales peaches at a rate of three dollars per peach. If Vivian has $12 how many peach’s can Vivian buy?
    10·1 answer
  • Delaware Corporation sets up a sinking fund for getting a lump sum. It has borrowed $50,000 for the business at 8% interest. The
    7·1 answer
  • What two numbers add up to -18 and multiply to 45? (Don’t need to show work)
    13·2 answers
  • Find the value of x.
    5·2 answers
  • Frederic worked 46 hours last week. His hourly rate is $8.50. Federic’s gross pay for last week was $
    8·1 answer
  • A plane intersects a double-napped cone such that the plane contains the generating line.
    8·1 answer
  • Classify each graph as increasing, decreasing, constant
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!