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forsale [732]
3 years ago
9

The surface area of the cube is 54 square feet. What is the length, in feet, of one edge of the cube?​

Mathematics
1 answer:
Brut [27]3 years ago
5 0

Answer:

3 ft

Step-by-step explanation:

A cube is made of 6 equal faces each of which is a square with the same side length. The surface area of the cube is the surface area of one side multiplied by 6. We know the surface area is 54 so divide this by 6.

54/6 = 9 ft^2

Since the surface must be a square, take the square root of 9 which is 3 ft. The length of one edge of the cube is 3 ft.

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Raul is making chocolate chip pancakes. The number of chocolate chips he uses is proportional to how many ounces of mix he makes
Gemiola [76]

Answer:

12 = 5k/2

24 = 5k

Step-by-step explanation:

Raul is making chocolate chip pancakes.

The number of chocolate chips he uses is proportional to how many ounces of mix he makes.

Hence,

Chocolate chips ∝ Number of Ounces

Chocolate chips = c

Number of Ounces = m

= cm

c = km

Where k = Constant of Proportionality

The recipe said that for every 2 1/2 ounces of the mix, 12 chocolate chips be added.

Hence

12 = 21/2 × k

12 = 5/2 × k

12 = 5k/2

Cross multiply

12 × 2 = 5k

24 = 5k

The equation that represents the relationship between c the number of chocolate chips and m the number of ounces is

12 = 5k/2

24 = 5k

8 0
3 years ago
The height of a flare fired from a 32-foot high platform can be modeled by the function h= -16t^2 + 16t + 32, where h is the hei
Amanda [17]

Answer:

Time, t = 2 seconds

Step-by-step explanation:

The height of a flare fired from a 32-foot high platform can be modeled by the function :

h= -16t^2 + 16t + 32

Here, h is the height in feet above the ground and t is the time in seconds.

It is required to find the time taken by the flare to reach the ground. When its reaches ground, height covered by it equals 0 such that,

h = 0

-16t^2 + 16t + 32=0\\\\t=\dfrac{-16+\sqrt{16^2-4\times (-16)(32)} }{2(-16)}, \dfrac{-16-\sqrt{16^2-4\times (-16)(32)} }{2(-16)}\\\\t=-1\ s, 2\ s

Neglecting t = -1 seconds, the time taken by the flare to reach the ground is 2 seconds.

4 0
3 years ago
The sum of three consecutive integers is – 135. Find the three integers.
Klio2033 [76]

Answer:

-45, -44, -43

Step-by-step explanation:

Let the smallest consecutive integer be x. Consecutive integers have a difference of 1, so the next consecutive integer must be x+1, and the next is x+2. Since they all add up to -135, we can form this equation: x+x+1+x+2=-132. When you solve, x should be -45, which is the smallest in the set. So the next must be -45+1=-44, and the next is -44+1 which is -43.

3 0
3 years ago
Read 2 more answers
Find the measure of an angle in standard position for each reference angle.​
scoundrel [369]

Step-by-step explanation:

1. 90+65= 155°

2. π+ π/6 = 7π/6 or 210°

3. 24+180=204°

4. 3π/2 + 2π/9 = (27π+4π)/18 = 31π/18

or 310°

5 0
2 years ago
. (6.03) Which of the following best describes the expression 6(y + 3)? (4 points) The product of two constant factors six and t
kolezko [41]
C. The product of a constant factor of six and a factor with the sum of two terms. In this case, 6 is constant, and the sum of two terms is: y+3. Since they are products, you multiple them. Therefore C would be correct.
8 0
3 years ago
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