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antiseptic1488 [7]
3 years ago
6

A box in the shape of a cube has a volume of 64 cube inches. What is the length of a side of the box

Mathematics
1 answer:
Naily [24]3 years ago
8 0

The volume of a cube can be expressed as

Let V = volume

Let a = side length

V = a^3

We need to solve the formula to isolate the variable a. First, we must cube root each side.

∛(V) = a. With our new formula, we plug in 64 cube inches into V.

∛(64) = a.

4 = a.

The length of one side on our cube is 4 inches.

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The graph below shows a quadratic function f(x) and an absolute value function g(x)
Sophie [7]

Answer:

The x-values that are approximate solution of the equation f(x) = g(x) are x_{1} \approx -3.5 and x_{2}\approx 5, respectively.

Step-by-step explanation:

From graph we infer that the x-values that represents a solution to the system of equations corresponds to those values of x in which both functions coincide. As we see, there are two x-values for f(x) = g(x), which are described below:

x_{1} \approx -3.5 and x_{2}\approx 5

The x-values that are approximate solution of the equation f(x) = g(x) are x_{1} \approx -3.5 and x_{2}\approx 5, respectively.

6 0
3 years ago
Hypotenuse Math. 15 Points.
Rina8888 [55]

Using the Pythagorean theorem:

a^2 + b^2 = c^2

A and B are the sides and c is the hypotenuse.

4^2 + 5^2 = c^2

Simplify:

16+25 = c^2

41 = c^2

Take the square root of both sides:

c=√41

4 0
3 years ago
Read 2 more answers
The vertices of a triangle are A(1, –9), B(0, –3), C(–4, –5). Fine the length of each side. What type of triangle is triangle AB
Alenkinab [10]

Answer:

AB = √37

BC = 2√5

AC = √41

Type: SCALENE TRIANGLE

Step-by-step explanation:

Given the coordinates

A(1, –9), B(0, –3), C(–4, –5)

We are to find the length of each sides first. Using the formula for calculating the distance between two points, we will have;

For A(1, –9) and B(0, –3)

AB = √(-3+9)²+(0-1)²

AB = √6²+(-1)²

AB = √36+1

AB = √37

For coordinates B(0, –3) and C(–4, –5)

BC = √(-5+3)²+(-4-0)²

BC= √(-2)²+(-4)²

BC = √4+16

BC = √20

BC = 2√5

For coordinates  A(1, –9), C(–4, –5)

AC = √(-5+9)²+(-4-1)²

AC= √(4)²+(-5)²

AC = √16+25

AC = √41

<em>Since the sides of the triangles are all different, hence the triangle is a SCALENE triangle</em>

8 0
3 years ago
What are four ways an inequality can be written?
Irina18 [472]

Answer:

There are four ways to represent an inequality: Equation notation, set notation, interval notation, and solution graph.

7 0
3 years ago
A number z is fewer than 3/4​
lozanna [386]

Answer:

z < ¾

Step-by-step explanation:

Or z < 0.75

...........

4 0
2 years ago
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