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marysya [2.9K]
3 years ago
12

Which of the following Platonic solids is also a pyramid? A. tetrahedron B. Hexahedron C. octahedron D. Icosahedron E. dodecahed

ron F. None of These
Mathematics
2 answers:
Bad White [126]3 years ago
8 0

Answer:

A) tetrahedron

tiny-mole [99]3 years ago
3 0
Tetrahedron - its the only one that has a base from which all edges meet at a single point.
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Expand the binomial<br> <img src="https://tex.z-dn.net/?f=%28x-%5Cfrac%7B2%7D%7B5%7D%29%5E%7B2%7D" id="TexFormula1" title="(x-\f
kkurt [141]

Answer:

(x- \frac{2}{5})^{2} = x^2 -\frac{4}{5}x + \frac{4}{25}

Step-by-step explanation:

You have two methods to expand this binomial.

Method 1  

If you have the expression:

(x- \frac{2}{5})^{2}

You can write the expression it in the following way:

(x-\frac{2}{5})^{2}=(x-\frac{2}{5})(x-\frac{2}{5})

Then, apply the distributive property:

(x-\frac{2}{5})(x-\frac{2}{5}) = x^2 -\frac{2}{5}x -\frac{2}{5}x+ (\frac{2}{5})\frac{2}{5}

Simplify the expression:

(x-\frac{2}{5})^2= x^2 -\frac{4}{5}x+ (\frac{4}{25})

---------------------------------------------------------------------------------------

Method 2

For any expression of the form:

(a-b)^2

Its expanded form will be:

(a-b)^2= a^2 -2ab + b^2

If

a = x

b =\frac{2}{5}

(x- \frac{2}{5})^{2} = x^2 - 2x\frac{2}{5} + (\frac{2}{5})^2

(x- \frac{2}{5})^{2} = x^2 -\frac{4}{5}x + \frac{4}{25}

3 0
3 years ago
Mai made $112 for 8 hours of work.
vodomira [7]

Answer:

18 hours

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Prove Euler's identity using Euler's formula.<br> e^ix = cos x + i sin x
Korolek [52]

First list all the terms out.

e^ix = 1 + ix/1! + (ix)^2/2! + (ix)^3/3! ...

Then, we can expand them.

e^ix = 1 + ix/1! + i^2x^2/2! + i^3x^3/3!...

Then, we can use the rules of raising i to a power.

e^ix = 1 + ix - x^2/2! - ix^3/3!...

Then, we can sort all the real and imaginary terms.

e^ix = (1 - x^2/2!...) + i(x - x^3/3!...)

We can simplify this.

e^ix = cos x + i sin x

This is Euler's Formula.

What happens if we put in pi?

x = pi

e^i*pi = cos(pi) + i sin(pi)

cos(pi) = -1

i sin(pi) = 0

e^i*pi = -1 OR e^i*pi + 1 = 0

That is Euler's identity.

3 0
3 years ago
A sneeze can travel up to 100mi/h how many feet per second is this a sneeze can travel up to 100m/h how many feet per second is
JulsSmile [24]
Ok first you have to convert 100 miles to feet.

A mile is 5,280 feet
100x5,280
528,000

Thats how much feet per hour. Now we need to find feet per second. So lets divide 528,000 by 60

528,000/60
8,800

Now we know 8,800 is how much feet per minute now we divide it once more by 60 to find feet per second.

8,800/60
146 2/3

So your answer is 146 2/3ft/sec

Brainliest my answer if it helped you out?

3 0
3 years ago
5 pounds of tomatoes cost $15.50. How much does one pound of tomatoes cost?
Tanzania [10]

Answer:

C 3.10

Step-by-step explanation:

15.50 divide by 5 is 3.10

Brainliest?

3 0
3 years ago
Read 2 more answers
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