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faust18 [17]
3 years ago
9

The surface area (SA) of a cube with a as the length of each of its sides is given by the formula . If the surface area is known

, how can you rewrite the formula to find its side?
Mathematics
1 answer:
nignag [31]3 years ago
4 0

Answer:

Step-by-step explanation:

1 surface area of the cube is s*s.

There are 6 faces on such a cube.

Area = 6*s^2                  Divide by 6

Area/6 = 6s^2 / 6           Do the divsion

Area/6 = s^2

s = sqrt(area/6)

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Line F passes through the points (7, 13) and (9, -3). What is the slope of a line parallel to line F?
madreJ [45]
13+3/7-9
16/-2
-8
A) -8
6 0
3 years ago
A package of 25 wristbands cost $5.25. At this rate, what is the cost of 1 wristband in dollars and cents?
azamat

Answer:

$0.21

Step-by-step explanation:

We can set up a proportion. Say x is the cost of 1 wristband:

\frac{5.25}{25} =\frac{x}{1}

Now, we cross multiply:

25x = 5.25

Solving for x, we see that x = 0.21.

Thus, the answer is $0.21.

6 0
3 years ago
Read 2 more answers
Nolan and his children went into a grocery store and he bought $8 worth of apples
goldfiish [28.3K]

Nolan and his children bought fruits (Apples and bananas) worth $8.

Cost of each apple and bananas are $2 and $0.40 respectively.

Let the number of bananas he bought = y

And the number of apples = x

Therefore, cost of the apples =$2x

And the cost of bananas = $0.40y

Total cost of 'x' apples and 'y' bananas = $(2x + 0.40y)

Equation representing the total cost of fruits will be,

(2x + 0.40y) = 8

10(2x + 0.40y) = 10(8)

20x + 4y = 80

5x + y = 20 --------(1)

If he bought 5 times as many bananas as apples,

y = 5x ------(2)

Substitute the value of y from equation (2) to equation (1),

5x + 5x = 20

10x = 20

x = 2

Substitute the value of 'x' in equation (2)

y = 5(2)

y = 10

Therefore, Nolan bought 2 apples and 10 bananas.

Learn more,

brainly.com/question/14951851

8 0
3 years ago
Whats three billion plus five trillion lol
Ira Lisetskai [31]

Answer:

5,003,000,000,000

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Apply The Remainder Theorem, Fundamental Theorem, Rational Root Theorem, Descartes Rule, and Factor Theorem to find the remainde
Over [174]

9514 1404 393

Answer:

  possible rational roots: ±{1/3, 2/3, 1, 4/3, 2, 3, 4, 6, 12}

  actual roots: -1, (2 ±4i√2)/3

  no turning points; no local extrema

  end behavior is same-sign as x-value end-behavior

Step-by-step explanation:

The Fundamental Theorem tells us this 3rd-degree polynomial will have 3 roots.

The Rational Root Theorem tells us any rational roots will be of the form ...

  ±{factor of 12}/{factor of 3} = ±{1, 2, 3, 4, 6, 12}/{1, 3}

  = ±{1/3, 2/3, 1, 4/3, 2, 3, 4, 6, 12} . . . possible rational roots

Descartes' Rule of Signs tells us the two sign changes mean there will be 0 or 2 positive real roots. Changing signs on the odd-degree terms makes the sign-change count go to 1, so we know there is one negative real root.

The y-intercept is 12. The sum of all coefficients is 22, so f(1) > f(0) and there are no positive real roots in the interval [0, 1]. Synthetic division by x-1 shows the remainder is 22 (which we knew) and all the quotient coefficients are all positive. This means x=0 is an upper bound on the real roots.

The sum of odd-degree coefficients is 3+8=11, equal to the sum of even-degree coefficients, -1+12=11. This means that -1 is a real root. Synthetic division by x+1 shows the remainder is zero (which we knew) and the quotient coefficients alternate signs. This means x=-1 is a lower bound on real roots. The quotient of 3x^2 -4x +12 is a quadratic factor of f(x):

  f(x) = (x +1)(3x^2 -4x +12)

The complex roots of the quadratic can be found using the quadratic formula:

  x = (-(-4) ±√((-4)^2 -4(3)(12)))/(2(3)) = (4 ± √-128)/6

  x = (2 ± 4i√2)/3 . . . . complex roots

__

The graph in the third attachment (red) shows there are no turning points, hence no relative extrema. The end behavior, as for any odd-degree polynomial with a positive leading coefficient, is down to the left and up to the right.

4 0
3 years ago
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