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
8_murik_8 [283]
2 years ago
5

What shape will the vertical cross-section of a cube be?

Mathematics
1 answer:
andreyandreev [35.5K]2 years ago
3 0

Answer:

a triangle;

Three faces of the cube meet to form the vertex, so the cross section is a two-dimensional figure with three sides

Step-by-step explanation:

You might be interested in
Find the product. (-3ab 2)3 27ab -23a2b2 -9a3b5 -27a3b6
horsena [70]

Answer:

Step-by-step explanation:

(-3 ab²)³=(-3)³(a)³(b²)³=-27 a³b^(2×3)=-27 a³b^6

8 0
3 years ago
Read 2 more answers
Find the sum or difference. a. -121 2 + 41 2 b. -0.35 - (-0.25)
s344n2d4d5 [400]

Answer:

2

Step-by-step explanation:

The reason an infinite sum like 1 + 1/2 + 1/4 + · · · can have a definite value is that one is really looking at the sequence of numbers

1

1 + 1/2 = 3/2

1 + 1/2 + 1/4 = 7/4

1 + 1/2 + 1/4 + 1/8 = 15/8

etc.,

and this sequence of numbers (1, 3/2, 7/4, 15/8, . . . ) is converging to a limit. It is this limit which we call the "value" of the infinite sum.

How do we find this value?

If we assume it exists and just want to find what it is, let's call it S. Now

S = 1 + 1/2 + 1/4 + 1/8 + · · ·

so, if we multiply it by 1/2, we get

(1/2) S = 1/2 + 1/4 + 1/8 + 1/16 + · · ·

Now, if we subtract the second equation from the first, the 1/2, 1/4, 1/8, etc. all cancel, and we get S - (1/2)S = 1 which means S/2 = 1 and so S = 2.

This same technique can be used to find the sum of any "geometric series", that it, a series where each term is some number r times the previous term. If the first term is a, then the series is

S = a + a r + a r^2 + a r^3 + · · ·

so, multiplying both sides by r,

r S = a r + a r^2 + a r^3 + a r^4 + · · ·

and, subtracting the second equation from the first, you get S - r S = a which you can solve to get S = a/(1-r). Your example was the case a = 1, r = 1/2.

In using this technique, we have assumed that the infinite sum exists, then found the value. But we can also use it to tell whether the sum exists or not: if you look at the finite sum

S = a + a r + a r^2 + a r^3 + · · · + a r^n

then multiply by r to get

rS = a r + a r^2 + a r^3 + a r^4 + · · · + a r^(n+1)

and subtract the second from the first, the terms a r, a r^2, . . . , a r^n all cancel and you are left with S - r S = a - a r^(n+1), so

(IMAGE)

As long as |r| < 1, the term r^(n+1) will go to zero as n goes to infinity, so the finite sum S will approach a / (1-r) as n goes to infinity. Thus the value of the infinite sum is a / (1-r), and this also proves that the infinite sum exists, as long as |r| < 1.

In your example, the finite sums were

1 = 2 - 1/1

3/2 = 2 - 1/2

7/4 = 2 - 1/4

15/8 = 2 - 1/8

and so on; the nth finite sum is 2 - 1/2^n. This converges to 2 as n goes to infinity, so 2 is the value of the infinite sum.

8 0
3 years ago
Riley solved and equation as shown in the table
Mama L [17]
She made the mistake in step 4

She should have divided by -2 not just 2 alone
6 0
3 years ago
CAN SOMEONE HELP ME ASAP ITS SO IMPORTANT
alexgriva [62]

Answer:

The letter P represents 1/8 on the number line

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Please help, 20 points.<br> Perimeter :)
djyliett [7]

Answer:

<h2>D. (42 - 2x)(32 - 2x) = 900</h2>

Step-by-step explanation:

<em>Look at the picture.</em>

The dimensions of the picture:

(42 - 2x)in × (32 -2x)in

The formula of an area of a rectangle:

A = l · w

l - length, w - width

Substitute l = (42 - 2x), w = (32 - 2x) and A = 900

(42 - 2x)(32 - 2x) = 900

8 0
3 years ago
Other questions:
  • How many sets of 7 questions can be chosen from a file of 25 questions?
    8·2 answers
  • What is the product?<br> 3x[-6 -14 -11 -9]
    11·1 answer
  • How to multiply fractions with a mixed number?
    10·1 answer
  • What is the solution to the equation 1/6n=2?
    7·2 answers
  • A rectangle has a perimeter of 20 inches the width of a triangle is 4 inches what is the height of a similar rectangle that has
    7·1 answer
  • QUICKKKKK Someone plz answer number 2
    5·1 answer
  • Solve for the unknown 7/G = 35/50
    15·2 answers
  • What is the percentage of data between 90 and 140?
    8·1 answer
  • A company is designing a new logo involving 2 circles. What is the area of the shaded portion between the 2 circles? (Use π = 3)
    6·1 answer
  • Napoleon Crossing the Alps
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!