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

Answers

Answer 1

Answer: 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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Solve with quadratic formula 8x^2-9x-5=0

Answers

$8x^(2) - 9x - 5 = 0$

$x = \frac{-(-9) +/- \sqrt{(-9)^(2) - 4(8)(-5)}}{2(8)}$

$x = (9 +/- √(81 + 160))/(16)$

$x = (9 +/- √(241))/(16)$

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When e = 4, f = 2, and g = 8. If e varies jointly with f and g, what is the constant of variation?

Answers

Answer:

$The\ constant\ of\ variation\ is\ (1)/(4).$

Step-by-step explanation:

As given in the question

If e varies jointly with f and g.

i.e

$e \propto fg$

e = kfg

Where k is the constant of variation.

When e = 4, f = 2, and g = 8

Put in the above

4 = k × 2 × 8

4 = 16k

$k = (4)/(16)$

$k = (1)/(4)$

$Therefore\ the\ constant\ of\ variation\ is\ (1)/(4).$

in joint variation, the equation of variation holds the form

e=k*fg, where k is the constant of variation. you can see how if either f or g increases, e increases as well, making e vary jointly with f and g. we are given the numbers e=4, f=2, and g=8, so when we input those into the general equations,

4=k*2*8,
k=1/4

The sum of a number m and 7.1

Answers

7.1+m

Or if you needed to add a variable to be the answer it would be 7.1+m=x

How do you convert sin into cos, and vice versa.. Promblem: cos(6x) = sin(3x-9)

Answers

The rule for converting sin into cos and vice versa is:
sin α = cos ( 90° - α ) or cos α = sin ( 90° - α )
In this case:
cos ( 6 x ) = sin ( 90° - 6 x )
sin ( 90° - 6 x ) = sin ( 3 x - 9°)
90° - 6 x = 3 x - 9°
90° + 9° = 3 x + 6 x
99° = 9 x
x = 99° : 9 = 11°
Answer: C ) x = 11°

The football team has 30 more members than the basketball teams. If each group had 10 more members, the ratio of their membership would be 3:2. How many members are in each group? Write your answer as football x basketball yHELP PLEASE !

Answers

x = y + 30 (I)

$(x + 10)/(y + 10) = (3)/(2)$

2x + 20 = 3y + 30
2x - 3y = 10 (II)
______________________________
2(y+30) - 3y = 10
2y + 60 - 3y = 10
-y = -50
y = 50

x = y + 30
x = 50 + 30
x = 80

Football team has 80 members, basketball team has 50 members.

Groucho, Harpo, Chico, Zeppo, and Gummo have won 2 tickets to the opera. They will randomly choose which two of them have to attend. How many different 2-person groups are possible?

Answers

There are 10, 2 person groups that are possible.

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