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vampirchik [111]
3 years ago
13

How do you find a side length of a cube with the surface area of one face (64cm)

Mathematics
1 answer:
jasenka [17]3 years ago
7 0
Fact #1:
A cube has six faces.

Fact #2:
Every one of them has the same area.

Fact #3:
The surface area of each face is (the length of the cube's side)²

Now that I look at this one more carefully, the only thing you need to know
to solve it is Fact #3.  (But you can keep the others and save them for later.)

The surface area of each face is (the length of the cube's side)²

64 is the (length of the cube's side)²

Can you find a number that gives you 64 when you multiply it by itself ?
That's the length of the cube's side.

Hint: If you don't get ' 8 ', work on it a little more.

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Match each function formula with the corresponding transformation of the parent function y = (x - 1)2 1. y = - (x - 1)2 Reflecte
lawyer [7]

Answer:

  1. y = -(x-1)² . . . . reflected over the x-axis
  2. y = (x-1)² +1 . . . . translated up by 1 unit
  3. y = (x+1)² . . . . reflected over the y-axis
  4. y = (x-2)² . . . . translated right by 1 unit
  5. y = (x-1)² -3 . . . . translated down by 3 units
  6. y = (x+3)² . . . . translated left by 4 units

Step-by-step explanation:

Since you have studied transformations, you are familiar with the effect of different modifications of the parent function:

  • f(x-a) . . . translates right by "a" units
  • f(x) +a . . . translates up by "a" units
  • a·f(x) . . . vertically scales by a factor of "a". When a < 0, reflects across the x-axis
  • f(ax) . . . horizontally compresses by a factor of "a". When a < 0, reflects across the y-axis.

Note that in the given list of transformed functions, there is one that is (x+1)². This is equivalent to both f(x+2) and to f(-x). The latter is a little harder to see, until we realize that (-x-1)² = (x+1)². That is, this transformed function can be considered to be either a translation of (x-1)² left by 2 units, or a reflection over the y-axis.

8 0
3 years ago
Write 4.7 as a mixed number with a fraction in simplest form.
julia-pushkina [17]
4.7 = 4 + 0.7
7/10
4 7/10

Answer: D)
8 0
3 years ago
Read 2 more answers
A machine can bind 500 yearbooks in 3 hours. How many hours will it take to bind 1800 yearbooks?​
Akimi4 [234]

Answer:

10.8 hours

Step-by-step explanation:

7 0
3 years ago
Read the statement.
svp [43]

Answer:

A and B

Step-by-step explanation:

Given

p -> Doubling the sides of a rectangle

q -> Area increases by factor of 4

From the question we understand that q depends on p.

This means that the original statement is option A which says p → q

The arrow from p to q indicates that if p is true then q is true.

Hence, option A is correct

Option B is also correct because it represents the inverse of (A) above.

I.e. if the sides of the triangle is not doubled, then the area won't increase by a factor of 4.

This in its actual sense represent negation or inverse statement.

Hence, options A and B answer the question while other options are incorrect.

8 0
3 years ago
Find the mean for number of can collected. Explain the method you used. 57, 59, 60, 58, 58, 56.
OLga [1]
Add all numbers together, then divide by the number of numbers there are. in this case divide by 6
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