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7nadin3 [17]
3 years ago
6

A cube has a lateral area of 9 square centimeters. What is the length of each edge of the cube?

Mathematics
2 answers:
aliya0001 [1]3 years ago
8 0
The lateral area of a cube is the area of four of its sides combined. The equation for a cube's lateral area would be A=s^2*4
9=s^2*4 (plug in what we know)
9/4=s^2 (divide by 4)
s=3/2 (square root both sides)
Kruka [31]3 years ago
5 0

Answer:

1.5 cm

Step-by-step explanation:

is the right answer!

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Please help; I don't understand how to solve these inequality problems.
Darina [25.2K]

Answer:

1. -6 ≤ x < -1, conjunction

2. x > 10   or   x ≤ 6, disjunction

3. 7 ≤ x ≤ 12, conjunction

4. x ≥ -3   or   x < -9, disjunction

Step-by-step explanation:

These inequalities are called "compound inequalities." Each compound inequality is made up of two simple inequalities.

A compound inequality of the type 5 < x < 8 means x > 5 and x < 8. Since the word between the simple inequalities is "and", it is a conjunction.

A compound inequality of the type "x < 3 or x > 12" uses the word "or" between the simple inequalities. It is called a disjunction.

1.

-4 ≤ x + 2 < 1

Conjunction

For this type of inequality, do what you need to do to get x alone in the middle section. Do the same to all three "sides" of the inequality.

The middle section has x + 2. We want x alone,s o w must subtract 2. We subtract 2 from all three sides.

-4 - 2 ≤ x + 2 - 2 < 1 - 2

-6 ≤ x < -1

2. 5x - 4 > 46 or 4x ≤ 3x + 6

Disjunction

In this type of compound inequality, solve each inequality by itself, and always keep the word "or" between the inequalities.

5x - 4 > 46 or 4x ≤ 3x + 6

5x - 4 + 4 > 46 + 4   or   4x - 3x ≤ 3x - 3x + 6

5x > 50   or   x ≤ 6

x > 10   or   x ≤ 6

3. Similar to problem 1.

Conjunction

10 ≤ 2x - 4 ≤ 20

Add 4 to all sections.

14 ≤ 2x ≤ 24

Divide all sections by 2.

7 ≤ x ≤ 12

4.

6 - 2x ≤ 12 or 7 + 2x < -11

Disjunction

-2x ≤ 6   or   2x < -18

x ≥ -3   or   x < -9

3 0
3 years ago
Read 2 more answers
48:23 +4.10 3/4<br> Help pls....
Bond [772]

Answer:

48:26.075

Step-by-step explanation:

4 0
3 years ago
Please help-help-help
disa [49]
I think the answer is C
3 0
2 years ago
You flip 3 coins. Is the probability of obtaining 2 heads and 1 tail in any order the same as the probability of obtaining a hea
konstantin123 [22]

Answer:

the probability of obtaining 2 heads and 1 tail in any order is higher than the probability of obtaining a head, than a head then a tail

Step-by-step explanation:

since the probability (p) of obtaining 2 head and 1 tail in any order is

P1 = p of obtaining ( H , H ,T) + p of obtaining ( H , T ,H ) + p of obtaining ( T , H ,H ) = 3*p of obtaining ( H , T ,H)

assuming a fair coin then p heads = p tails = 0.5

thus since each flip is independent from the others

p( H , H ,T)=p( H , T ,H )= p( T , H ,H )= P=0.5*0.5*0.5= 1/8

thus P1 =3*1/8=3/8

while the probability of obtaining a head, than a head then a tail is

P2= p of obtaining ( H , T ,H)= 1/8

then P1=3/8 >P2=1(8

therefore the probability of obtaining 2 heads and 1 tail in any order is higher than the probability of obtaining a head, than a head then a tail

6 0
3 years ago
HELP PLEASE LOTS OF POINTS!!
Paladinen [302]

Answer:

<em>Thus, f and g are inverse functions</em>

Step-by-step explanation:

<u>Inverse Functions</u>

If two functions f(x) and g(x) are inverses, then it follows that:

f\circ g(x)=x

Or:

g\circ  f(x)=x

We are given

\displaystyle f(x)=\frac{1}{4}x-6

g(x)=4x+24

Let's test if they are inverse functions:

f\circ g(x)=\frac{1}{4}(4x+24)-6

Simplifying:

f\circ g(x)=x+6-6=x

Now find:

\displaystyle g\circ f(x)=4\left(\frac{1}{4}x-6\right)+24

Operating:

\displaystyle g\circ f(x)=x-24+24=x

Thus, f and g are inverse functions

6 0
3 years ago
Read 2 more answers
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