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grin007 [14]
3 years ago
12

The ratio of the volume of two spherical steels balls is 27:64. what is the ratio of their diameters

Mathematics
1 answer:
lys-0071 [83]3 years ago
3 0

Answer:

16:9

Step-by-step explanation:

  •   Thank me pleasee :D
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Suppose theta is an angle in the standard position whose terminal side is in quadrant 4 and cot theta = -6/7. find the exact val
zimovet [89]

First off, let's notice that the angle is in the IV Quadrant, where sine is negative and the cosine is positive, likewise the opposite and adjacent angles respectively.

Also let's bear in mind that the hypotenuse is never negative, since it's simply just a radius unit.

\bf cot(\theta )=\cfrac{\stackrel{adjacent}{6}}{\stackrel{opposite}{-7}}\qquad \impliedby \textit{let's find the \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{6^2+(-7)^2}\implies c=\sqrt{36+49}\implies c=\sqrt{85} \\\\[-0.35em] ~\dotfill

\bf tan(\theta)=\cfrac{\stackrel{opposite}{-7}}{\stackrel{adjacent}{6}} ~\hfill csc(\theta)=\cfrac{\stackrel{hypotenuse}{\sqrt{85}}}{\stackrel{opposite}{-7}} ~\hfill sec(\theta)=\cfrac{\stackrel{hypotenuse}{\sqrt{85}}}{\stackrel{adjacent}{6}} \\\\\\ sin(\theta)=\cfrac{\stackrel{opposite}{-7}}{\stackrel{hypotenuse}{\sqrt{85}}}\implies \stackrel{\textit{and rationalizing the denominator}}{sin(\theta)=\cfrac{-7}{\sqrt{85}}\cdot \cfrac{\sqrt{85}}{\sqrt{85}}\implies sin(\theta)=-\cfrac{7\sqrt{85}}{85}}

\bf cos(\theta)=\cfrac{\stackrel{adjacent}{6}}{\stackrel{hypotenuse}{\sqrt{85}}}\implies \stackrel{\textit{and rationalizing the denominator}}{cos(\theta)=\cfrac{6}{\sqrt{85}}\cdot \cfrac{\sqrt{85}}{\sqrt{85}}\implies cos(\theta)=\cfrac{6\sqrt{85}}{85}}

6 0
3 years ago
If 1/8 of a gallon of milk is shared equally between 6 friends, how much milk will each friend have?
Mamont248 [21]

Answer:

1/48 gallon of milk

Step-by-step explanation:

1/8 divided by 6 is equal to 1/8 x 1/6 because of keep, change, flip.

Keep the first number 1/8

Change the sign dividing turns into multiplying

Flip the number 6= 6/1 so flipping it turns it into 1/6

1/8 x 1/6 = 1/48

5 0
3 years ago
Use the data to create a scatter plot URGENT!!!!!!
iVinArrow [24]

Answer:

The scatter plot of the given data is shown below.

Step-by-step explanation:

The given data is

Time (years)               Number of participants

      3                                       22

      6                                       25

      9                                       28

      12                                       14

      15                                       17

      18                                       20

      21                                       15

      24                                       9

In the scatter plot the x-axis represents the time in years and the y intercept represents the number of participants.

The scatter plot of the given data is shown below.

3 0
4 years ago
What is 400+5 in standard form
love history [14]
Standard form is just the number.  The answer is 405.
5 0
3 years ago
Read 2 more answers
Expand -11(5-p) can someone answer that please
masya89 [10]

Answer:

-55 +11p

Step-by-step explanation:

-11(5-p)

Distribute

-11*5 -11*(-p)

-55 +11p

4 0
3 years ago
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