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
Dahasolnce [82]
3 years ago
9

What is the relationship between the number of sides of the base of a prism and the number of lateral faces? The number of sides

of the base of a prism is less than the number of lateral faces. The number of sides of the base of a prism and the number of lateral faces is equal. The number of sides of the base of a prism is greater than the number of lateral faces. There is no consistent relationship between the number of sides of the base of a prism and the number of lateral faces.
Mathematics
2 answers:
iogann1982 [59]3 years ago
6 0

Answer: C

The number of sides of the base of a prism is greater than the number of lateral faces.

Step-by-step explanation:

EDGE 2021

slamgirl [31]3 years ago
5 0

Answer:

Every prism has as many faces, and edges, as its base has sides. Thus, a prism with an octagonal (eight sided) base has eight lateral faces, and eight lateral edges. Each lateral face meets two other lateral faces, as well as the two bases. As a consequence, each lateral face is a four sided polygon.

You might be interested in
A norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular. Find the dimensions of a norman
Yanka [14]

Answer:

W\approx 8.72 and L\approx 15.57.

Step-by-step explanation:

Please find the attachment.

We have been given that a norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular. The total perimeter is 38 feet.

The perimeter of the window will be equal to three sides of rectangle plus half the perimeter of circle. We can represent our given information in an equation as:

2L+W+\frac{1}{2}(2\pi r)=38

We can see that diameter of semicircle is W. We know that diameter is twice the radius, so we will get:

2L+W+\frac{1}{2}(2r\pi)=38

2L+W+\frac{\pi}{2}W=38

Let us find area of window equation as:

\text{Area}=W\cdot L+\frac{1}{2}(\pi r^2)

\text{Area}=W\cdot L+\frac{1}{2}(\pi (\frac{W}{2})^2)

\text{Area}=W\cdot L+\frac{\pi}{2}(\frac{W}{2})^2)

\text{Area}=W\cdot L+\frac{\pi}{2}(\frac{W^2}{4})

\text{Area}=W\cdot L+\frac{\pi}{8}W^2

Now, we will solve for L is terms W from perimeter equation as:

L=38-(W+\frac{\pi }{2}W)

Substitute this value in area equation:

A=W\cdot (38-W-\frac{\pi }{2}W)+\frac{\pi}{8}W^2

Since we need the area of window to maximize, so we need to optimize area equation.

A=W\cdot (38-W-\frac{\pi }{2}W)+\frac{\pi}{8}W^2  

A=38W-W^2-\frac{\pi }{2}W^2+\frac{\pi}{8}W^2  

Let us find derivative of area equation as:

A'=38-2W-\frac{2\pi }{2}W+\frac{2\pi}{8}W  

A'=38-2W-\pi W+\frac{\pi}{4}W    

A'=38-2W-\frac{4\pi W}{4}+\frac{\pi}{4}W

A'=38-2W-\frac{3\pi W}{4}

To find maxima, we will equate first derivative equal to 0 as:

38-2W-\frac{3\pi W}{4}=0

-2W-\frac{3\pi W}{4}=-38

\frac{-8W-3\pi W}{4}=-38

\frac{-8W-3\pi W}{4}*4=-38*4

-8W-3\pi W=-152

8W+3\pi W=152

W(8+3\pi)=152

W=\frac{152}{8+3\pi}

W=8.723210

W\approx 8.72

Upon substituting W=8.723210 in equation L=38-(W+\frac{\pi }{2}W), we will get:

L=38-(8.723210+\frac{\pi }{2}8.723210)

L=38-(8.723210+\frac{8.723210\pi }{2})

L=38-(8.723210+\frac{27.40477245}{2})

L=38-(8.723210+13.70238622)

L=38-(22.42559622)

L=15.57440378

L\approx 15.57

Therefore, the dimensions of the window that will maximize the area would be W\approx 8.72 and L\approx 15.57.

8 0
3 years ago
At a movie theater, 360 people can see a particular movie over a period of 3 hours. At this
Agata [3.3K]

Answer:233

Step-by-step explanation:cause i said so

7 0
3 years ago
Read 2 more answers
A group of students were surveyed to find out if they like building snowmen or skiing as a winter activity. The results of the s
nignag [31]

Answer:

The answer could be easier if you make a ratio and actual graph

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Find the area of the rectangle.<br> 36<br> kilometers<br> (x-3) kilometers
Vika [28.1K]

Answer:

36x - 108 kilometers²

Step-by-step explanation:

Area = length x width

36 ( x - 3 ) =

36x - 108

-Chetan K

3 0
2 years ago
I need emergency help I’ll mark you as brainlist
galben [10]

Answer:

352

Step-by-step explanation:

:)

:)

:)

4 0
3 years ago
Read 2 more answers
Other questions:
  • The large rectangle was reduced to create the small rectangle.What is the missing measure on the small rectangle?
    11·1 answer
  • The radius of a circular track is 0.2 mile. Ellie ran around 3 times. How many kilometers did she run
    8·1 answer
  • TIME REMAINING
    8·2 answers
  • A top-fuel dragster ran a 1/4-mile (1320 ft) race. It had traveled 1305.48 feet after 3.58 seconds and it traveled the entire 13
    5·1 answer
  • Prove the following statement.
    5·1 answer
  • How many zeros are in the product 50 * 7000 what is the answer​
    7·1 answer
  • A reflecting pool is shaped like a square with a side length of 4 meters. What is the perimeter of the​ pool? Explain how you fo
    14·1 answer
  • Convert the improper fraction to a mixed number.<br> 17<br> 3
    11·2 answers
  • Solve this expression using the distributive property: 5 (2x + 7). *<br> plz help fast
    12·1 answer
  • Consider the expression.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!