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Blababa [14]
3 years ago
7

A rectangular box is constructed in 3-space with one corner at the origin and other vertices at (1, 0, 0), (0, 4, 0), (0, 0, 2).

Find the length of the diagonal of the box.
Mathematics
1 answer:
77julia77 [94]3 years ago
7 0

The space diagonal will have length ...

... d = √(1² +4² +2²) = √(1 +16 +4) = √21

_____

This can be found using the Pythagorean theorem. A drawing can help. Find the length of any face diagonal, then use that length as the leg of a right triangle whose hypotenuse is the space diagonal and whose other leg is the edge length not used in the first calculation.

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If a fair coin is tossed 6 times, what is the probability, to the nearest thousandth, of getting exactly 6 tails?
xxTIMURxx [149]
<h2>Answer:</h2>

\frac{1}{64}

<h2>Step-by-step explanation:</h2>

The\ probability\ of\ tails\ per\ flip\ is\ \frac{1}{2}

so\ the\ probability\ of\ getting\ six

tails\ is

\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}=\frac{1}{64}

The\ probability\ of\ getting\ tails\ every

time\ you\ multiply\ them\ is\ the

probobility\ of\ getting\ tails\ all\ six

times?

<em>I hope this helps you</em>

<em>:)</em>

3 0
2 years ago
Gcf of 30x^2 and 45x^5
Anna007 [38]

{15x}^{2}

5 0
3 years ago
Read 2 more answers
johnnys baseball team raised $1456 for next month's tournament. They need a total of $2,000 to play. the team has a total of 11
lapo4ka [179]
Given that Johney's baseball had raised $1,456 out of $2,000 they need to play the tournament.

Amount of money they still need to raise is given by $2,000 - $1,456 = $544.

Given that there is a total of 11 players in the team. Let x represent the total amount each player needs to raise, then x = $544 / 11 = $49.45

Therefore, each player needs to raise $49.45
8 0
3 years ago
a person bought 8 items at a market and received $8 in change. if each item was priced at $4, how much did the person give the v
mariarad [96]

If a person bought 8 items and each item was priced at $4, that means the total amount spent was $32.

(8)(4)=32

The person received 8 dollars in change. This means that the person payed 8 dollars more than what they spent. Well, we just found out how much they spent, so we can find out how much money the person gave the vendor.

Let p = amount of money paid by the person.

32+8=p

p=40

The person gave the vendor $40.

3 0
3 years ago
Q#1: Suppose that you have two different algorithms for solving a problem. To solve a problem of size n, the first algorithm use
svetlana [45]

Answer:

The one of -[n+2n+3n+4n]/nlne(10) has fewer operations because the value of n is <u>static</u><u>.</u>

The one of n! ( factorial ) is factorised up to n∞ hence has infinity operations.

7 0
3 years ago
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