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3 years ago

Which correctly describes a cross section of the cube below? Check all that apply.

Mathematics

1 answer:

yarga [219]3 years ago

5 0

A cross section parallel to the base is a square measuring 4 cm by 4 cm 

Step-by-step explanation:

Here we have to select the correct statement regarding a cross section of the cube :

A cross section parallel to the base is a square measuring 4 cm by 4 cm :

Since , every side of a cube is same . Any cross section of a cube must be parallel to a square base . Hence, correct statement .

A cross section parallel to the base is a rectangle measuring 4 cm by greater than 4 cm :

Since , every side of a cube is same . Any cross section of a cube must be parallel to a square base . Here, base is rectangle . We don't have a rectangle base in cube . Not correct statement.

A cross section perpendicular to the base through the midpoints of opposite sides is a rectangle measuring 2 cm by 4 cm:

Since , every side of a cube is same . Any cross section of a cube must be parallel to a square base . Here, base should be square not rectangle . So , Not correct statement.

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How many real solutions exist for this system of equations?

Rom4ik [11]

Answer:

One

Step-by-step explanation:

Set each equations equal to each other

${x}^{2} + 4 = 4x$

${x}^{2} - 4x + 4$

Find the discrimant.

${ - 4 {}^{2} - 4(1)(4) } = 0$

This means there is one real solution. Since the discramnt equal 0.

7 0

3 years ago

You use pemdas and they both equal to 77. So yes they are equivalent.

spayn [35]

Answer:

yes if u use Pemdas and both sides of the equation have the same answer, they both are equivalent.

Good job!

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3 years ago

Suppose that a water fountain produces a stream of water that follows the shape of a parabola. Assigning the origin of a coordin

irina1246 [14]

Vertex = (6, 5)
axis of symmetry is line x = 6
A third point in the parabola is (12, 0)

equation using the vertex is y = -a(x - 6)^2 + 5 = -a(x^2 - 12x + 36) + 5 = -ax^2 + 12ax - 36a + 5
since the parabola passes through point (0, 0)
i.e. -36a + 5 = 0
a = 5/36 = 0.139

Therefore, the equation is y = -0.139x^2 + 12(0.139)x = -0.139x^2 + 1.667x

7 0

3 years ago

You have the choice of logging on at one of two Internet cafés. Their posted rates are as follows: Log-On Café: $5.50 plus $0.15

erastovalidia [21]

1. 5.50 + 0.15 * 45 = 12.25

2. 4 + 0.20 * 45 = 13

So the first option is slightly better, you can save 13-12.25= $0.75.

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3 years ago

What is the exam score for an exam whose z-score is 1.25?

mojhsa [17]

Answer:

Step-by-step explanation:

A z-score of 1.25 means that the actual exam score is 1.25 standard deviations above the mean, and therefore the exam score we are looking for is: mean + 1.25 * SD = 75 + 1.25 * 8 = 85

4 0

3 years ago