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3 years ago

The diagram shows a 5 cm x 5 cm x 5 cm cube,

Mathematics

1 answer:

slava [35]3 years ago

5 0

For this you need the pythagorean theorem.
5 squared is: 25
25+25= 50
then u need the square root of 50 which is approximately= 7.07107 cm

The length of the diagonal AB is 7.07107 cm

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Convert 5 1/8 to a fractional notation

nataly862011 [7]

Basically speaking, a fractional notation is the same as a fraction itself. Thus, the best way to express the given problem in here would be to turn it into a fraction. Since the given variable is a mixed number, meaning that it is a whole number and a fraction combined, it can be turned into just a fraction or more specifically, an improper fraction. To do this, we have to take the denominator and multiply it to the whole number. After that, the product would be added to the numerator. The sum would be the new numerator and the denominator would remain the same. Thus, the answer would be 41/8

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3 years ago

A NASA spacecraft measures the rate R of at which atmospheric pressure on Mars decreases with altitude. The result at a certain

AysviL [449]

Answer:

$R = 0.0000498 \frac{KJ}{ m m^3}=0.0000498 \frac{KJ}{m^4}=4.98x10^{-5}\frac{KJ}{m^4}$

Step-by-step explanation:

For this case we have the following value:

$R = 0.0498 \frac{Kpa}{Km}$

We can convert this first to $\frac{Kpa}{m}$ like this:

$R=0.0498 \frac{Kpa}{Km} *\frac{1km}{1000m}=0.0000498 \frac{Kpa}{m}$

Now we use the fact the the pressure is defined as $P =\frac{F}{A}$ , whre P is the pressure, F the force and A the area, so then $Kpa= \frac{KN}{m^2}$ and then we can replace this:

$R=0.0000498 \frac{KN}{m^3}$

Now from definition of work we know that $W= Fd$ where W is the work, F the force and d the distance, so then is equivalent $KN =\frac{KJ}{m}$

And if we replace this into the equation we got:

$R = 0.0000498 \frac{KJ}{ m m^3}=0.0000498 \frac{KJ}{m^4}=4.98x10^{-5}\frac{KJ}{m^4}$

4 0

3 years ago

100000000.9996 x 6969781446.913

elena-s [515]

Answer:

6.9697815e+17 (e+17 means 17 0's at the end of the problem. So, the exact answer would be 6.969781500000000000000000)

Step-by-step explanation:

Hope this helps! :D

Also, if it is no trouble, can I have brainliest? This equation took awhile.

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2 years ago

What is the arc length of a circle (in meters) with a radius of 2 meters that has an arc angle of 90°? A 2π B π C 2 D 4π

Musya8 [376]

$\bf \textit{arc's length}\\\\
s=\cfrac{\theta \pi r}{180}~~
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad de grees\\ 
------\\
r=2\\
\theta =90
\end{cases}\implies s=\cfrac{(90)\pi (2)}{180}\implies s=\pi$

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3 years ago

The Graduate Management Admission Test (GMAT) is taken by individuals interested in pursuing graduate management education. GMAT

telo118 [61]

Answer:

Null hypothesis: $\mu_{Phil} \geq 550$

Alternative hypothesis: $\mu_{Phil} < 550$

Step-by-step explanation:

1) Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

2) Solution to the problem

Let X the random variable that represent the score for all test‑takers and the distribution for X is:

$X \sim N(\mu =550,\sigma=120)$