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3 years ago

Is 1.5 over 7.5 a rational number

1 answer:

4 0

A rational number is a number that can be written as a simple fraction (as a ratio) and an irrational number is a number that cannot be written as a simple fraction (irrational means not rational) Example: 1.5 is rational because it can be written as 3/2. 7.5 is rational because it can be written as 15/2, so in my mind, yes it is rational because both top and bottom are rational. Hope this helped!! :):)

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Find the volume of the solid, please

dsp73

Answer:

$V \approx=1436.8$

Step-by-step explanation:

Variables and symbols:

r = radius
V = volume
A = surface area
C = circumference
π = pi = 3.1415926535898
√ = square root

Volume of a sphere in terms of radius:

$V = \frac{4}{3}\pi r^3$ , $V \approx 4.1888r^3$

To calculate the volume of a sphere:

Usually the hardest part is measuring or estimating the diameter of the sphere. Special tools exist for smaller parts like balls in ball-bearings, but it gets more complicated if the size is large. Knowing that the diameter is the largest internal measurement you can take should help.

Once you have the measurement, to find the volume use the formula above, in which π is the well-known mathematical constant equal to about 3.14159. To adjust for a half-sphere calculation, just divide the result by two.

Spheres and half-spheres are useful in engineering and architecture due to their property of being able to take equal amounts of pressure or force from each direction.

Solution:

$V=\frac{4}{3} \pi r^{3} =\frac{4}{3} *\pi *7^{3} \approx1436.75504$

Round to nearest tenth: $1436.8$

5 0

2 years ago

Read 2 more answers

Suppose y varies directly with x. If y = 6 when x = 2, find x when y = 12. 4 3

kobusy [5.1K]

$\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \textit{we also know that } \begin{cases} y=6\\ x=2 \end{cases}\implies 6=k(2)\implies \cfrac{6}{2}=k\implies 3=k \\\\\\ therefore\qquad \boxed{y=3x} \\\\\\ \textit{when y = 12, what is \underline{x}?}\qquad 12=3x\implies \cfrac{12}{3}=x\implies 4=x$

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3 years ago

4y=92 what does y equal

marishachu [46]

Divide both sides by 4
then you get

y = 23

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3 years ago

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How do you do this??

Luden [163]

Answer:

Step-by-step explanation:

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3 years ago

Are my answers correct???

melomori [17]

All of them are wrong except number 12. The top left is 7, the top right is 26, the bottom left is 4. And a little hint, do what's in the parentheses first. Hope I helped!!

5 0

3 years ago

Read 2 more answers