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Orlov [11]
3 years ago
10

What is the cross section formed by a plane that intersects three faces of a cube

Mathematics
1 answer:
dusya [7]3 years ago
7 0
Imagine taking a cube and slicing it open from one of the corners.

The exposed area of the cube would be a triangle. See the image for reference.

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A piggy bank contains a nickels, dimes and quarters. There are five more dimes than nickels and twice as many quarters as dimes.
Natasha2012 [34]

Answer:

34 nickels, 39 dimes, 78 quarters

Step-by-step explanation:

q = quarters, d = dimes, n = nickels

n = d - 5

q = 2d

.25q + .10d + .05n = 7.55

<em>Plug in the first 2 equations into the third one</em>

.5d + .10d + .05(d - 5) = 7.55

<em>Open up the Parenthesis</em>

.5d + .10d + .5d - .25 = 7.55

<em>Combine Like Terms</em>

.2d - .25 = 7.55-->

.2d = 7.8 -->

d = 39 -->

n = 39 - 5 = 34

q = 2(39) = 78

4 0
3 years ago
Fine the solution of 4x^2+4x+1=0
Natalka [10]

Answer:

x = -1/2

Step-by-step explanation:


7 0
3 years ago
Read 2 more answers
Jeremy weigh a cell phone on a digital scale. write down 113 but forget to record the unit.which unit of measurement is correct
Andrew [12]
Hello! Grams would be the correct measurement. One kilogram is equal to about 2.2 pounds. If you cell phone weighed 113 kilograms it would be 249 pounds! The size of an adult!

One gram is about the weight of a paper clip, so it makes more sense for a cell phone to weigh 113 paper clips. 

I hope this helps!
7 0
3 years ago
Read 2 more answers
Eloise started to solve a radical equation in this way: square root of negative 2x plus 1 − 3 = x square root of negative 2x plu
Rasek [7]

Answer:

Both solutions cannot satisfy the original equation as Eloise makes mathematical error in solving for those solutions. Check Explanation for the breakdown of her steps and the right way to go about solving this.

Step-by-step explanation:

Radical equation is square root of negative 2x plus 1 − 3 = x

In mathematical terms,

√(-2x + 1) - 3 = x

Them her steps,

She adds 3 to both sides,

square root of negative 2x plus 1 − 3 + 3 = x + 3

In mathematical terms,

√(-2x + 1) - 3 + 3 = x + 3

On simplification, she obtains,

square root of negative 2x plus 1 = x + 3

√(-2x + 1) = x + 3

Then, she goes ahead to subtract 1 from both sides,

square root of negative 2x plus 1 − 1 = x + 3 − 1

√(-2x + 1) - 1 = x + 3 - 1

It was at this point that she makes the mistake that scatters everything; she removed the 1 from under square root to take the (- 1) she introduced (without much thoughts). She then obtains

square root of negative 2 x = x + 2

√(-2x) = x + 2 (wrong step, that scatters the process)

She then squares both sides

(square root of negative 2x)² = (x − 4)²

-2x = (x - 4)²

Here, Eloise makes another error, albeit, this is a typographical error. She wrote (x - 4) instead of (x + 2)

From then on, anything she does, whether wrong or right, it will not give the right answer.

−2x = x² − 8x + 16

Then she makes more errors, (-8x) changes to 8x with the introduced 2x on the left hand side doesn't account for this change.

−2x + 2x = x² + 8x + 16 + 2x

0 = x² + 10x + 16

0 = (x + 2)(x + 8)

x+2 = 0 or x+8 = 0

x = -2 or x = -8

Which is evidently wrong.

The correct solving method should have been from the point

√(-2x + 1) = x + 3

Square both sides

-2x + 1 = (x + 3)²

x² + 6x + 9 = - 2x + 1

x² + 8x + 8 = 0

Solving the equation quadratically.

x = - 1.17 or - 6.83

The true value of x that satisfies the given equation that Eloise attempted to solve are -1.17 and -6.83.

Hope this Helps!!!

8 0
2 years ago
4, Analyze Information Jessica is
sveta [45]
<span>Jared is 9 years 270 days</span>
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3 years ago
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