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Andreyy89
2 years ago
8

Romeo will roll a 6-sided number cube, numbered 1-6, twice. What is the probability of rolling an odd number on the 1st roll and

then the number 4 on the 2nd roll?
Mathematics
1 answer:
elena-s [515]2 years ago
8 0
1st rol= 3/6
2nd roll= 1/6
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I am totally stuck on this problem please help
Nonamiya [84]
V solid = π * 5^{2} * 13 / 3 + π * 5^{2} * 2 = 3.14 * 25 *13 / 3 + 3.14 * 50 = 340.16 + 157 = 497.16 ≈ 497.20 cubic centimeters;
3 0
3 years ago
Expand a logarithmic expression
ivanzaharov [21]

The logarithmic expression is

log (\sqrt{z^5}/(x^3y))

To expand the expression we have to use some properties of logarithm.

We know that log(m/n) = log (m) - log(n)

By using this property we can write,

log(\sqrt{z^5}) - log(x^3y)

Square root means to the power 1/2, so for \sqrt{z^5}, we can write z^(5/2).

log(z^(5/2)) - log(x^3y)

Now we have to use another property of logarithm.

We know that, log(mn) = log(m) + log(n)

So we will use this property to log(x^3y)

log(z^(5/2)) - log(x^3y)

log(z^(5/2)) - (log(x^3) + log(y))

log(z^(5/2)) - log(x^3) - log(y)

Now we have to use another property of logarithm.

We know that, log(a^m) = m log(a)

By using this property we can write,

(5/2)log(z) - 3log(x) - log(y)

This is the required aswer here.

8 0
3 years ago
Read 2 more answers
The shadow of a vertical tower is 58 feet long when the angle of elevation of the sun is 36 degrees. What is the height of the t
monitta
42 feet. You have side opposite and one adjacent to the angle therefore you use tan. Then just rearrange for x

6 0
3 years ago
Use the diagram of point O. What is the length of OY to the nearest 10th of an Inch? XZ = 10 and OX= 10
Lady bird [3.3K]

From the diagram above,

XZ = 10 in and OX = 10 in

we are to find length of OY

XZ is a chord and line OY divides the chord into equal length

Hence, ZY=YX= 5 in

Now we solve the traingle OXY

To find OY we solve using pythagoras theorem

(Hyp)^2=(Opp)^2+(Adj)^2

applying values from the triangle above

\begin{gathered} OX^2=XY^2+OY^2 \\ 10^2=5^2+OY^2 \\ 100=25+OY^2 \\ OY^2\text{ = 100 -25} \\ OY^2\text{ = 75} \\ OY\text{ = }\sqrt[]{75} \\ OY\text{ = }\sqrt[]{25\text{ }\times\text{ 3}} \\ OY\text{ = 5}\sqrt[]{3\text{ }}in \end{gathered}

Therefore,

Length of OY =

5\sqrt[]{3}

8 0
10 months ago
Solve the system of equations. x + 3y = −1 2x + 2y = 6
mihalych1998 [28]
  1x+ 3y = -12x + 2y = 6
+12x         +12x
  13x + 3y = 2y = 6 
           +3y  +3y
  13x = 5y = 6 
13x = 5y and 5y = 6 
5 0
3 years ago
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