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olga nikolaevna [1]

3 years ago

6

A candy store called "Sugar" built a giant hollow sugar cube out of wood to hang above the entrance to their store. It took 5454

5454 feet2^22start superscript, 2, end superscript of material to build the cube.
What is the volume inside the giant sugar cube?

1 answer:

Phoenix [80]3 years ago

4 0

The volume inside is 27 cu. ft.

The surface area of a cube is the area of each face of the cube added together. There are 6 faces on a cube; 54/6 = 9 sq. ft. for each face of the cube.

Each face of a cube is a square, whose area is given by A=s²:
9 = s²

Take the square root of both sides:
√9 = √s²
3 = s

Each side of the square, or edge of the cube, is 3 ft.

This makes the volume 3(3)(3) = 27 cu. ft.

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3 years ago

Which expression is equivalent to 54n-20m+6n

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3 years ago

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madam [21]

Answer:

x = 7

Step-by-step explanation:

The angle adjacent to the 70 degree angle is also 70 degrees. We assume that there are four 90-degree angles in the center of the figure. Thus, 8x - 36 + 70 + 90 = 180 (the sum of the interior angles is 180 degrees).

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5 0

3 years ago

Please help me on this problem

Anna71 [15]

Answer:

The pairs of integer having two real solution for $ax^{2} -6x+c = 0$ are

$a = -4, c = 5$
$a = 1, c = 6$
$a = 2, c = 3$
$a = 3, c = 3$

Step-by-step explanation:

Given

$ax^{2} -6x+c = 0$

Now we will solve the equation by putting all the 6 pairs so we get the following

$-3x^{2} -6x-5 = 0$ for $a = -3 , c=-5$

$-4x^{2} -6x+5 = 0$ for $a = -4 , c=5$

$1x^{2} -6x+6 = 0$ for $a = 1 , c=6$

$2x^{2} -6x+3 = 0$ for $a = 2 , c=3$

$3x^{2} -6x+3 = 0$ for $a = 3 , c=3$

$5x^{2} -6x+4 = 0$ for $a = 5 , c=4$

The above all are Quadratic equations inn general form $ax^{2} +bx+c=0$

where we have a,b and c constant values

So for a real Solution we must have

$Disciminant , b^{2} -4\timesa\timesc \geq 0$

for $a = -3 , c=-5$ we have

$Discriminant =-24$ which is less than 0 ∴ not a real solution.

for $a = -4 , c=5$ we have

$Discriminant = 116$ which is greater than 0 ∴ a real solution.

for $a = 1 , c=6$ we have

$Discriminant =12$ which is greater than 0 ∴ a real solution.

for $a = 2 , c=3$ we have

$Discriminant =12$ which is greater than 0 ∴ a real solution.

for $a = 3 , c=3$ we have

$Discriminant =0$ which is equal to 0 ∴ a real solution.

for $a = 5 , c=4$ we have

$Discriminant =-44$ which is less than 0 ∴ not a real solution.

7 0

3 years ago