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GalinKa [24]
4 years ago
8

What is the volume of a rectangular prism with the following dimensions

Mathematics
2 answers:
andriy [413]4 years ago
7 0

Answer: 250ft3

Step-by-step explanation:

v=l*w*H

v= 10*5 * 5

v=250

s344n2d4d5 [400]4 years ago
3 0

Answer:

250ft3

Step-by-step explanation:

v=l*w*H

v= 10*5 * 5

v=250

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32:__=12:24<br> whats the answer
zimovet [89]
The answer would be 64 since the equation is 32:_=12:24, and 12:24 simplified would be 1:2, 32 times two would be equal to 64, making the ratio complete and correct.
Hope this helps

7 0
3 years ago
Read 2 more answers
Prove that if $w,z$ are complex numbers such that $|w|=|z|=1$ and $wz\ne -1$, then $\frac{w+z}{1+wz}$ is a real number.
mr_godi [17]

Answer:

See proof below

Step-by-step explanation:

Let r=\frac{w+z}{1+wz}. If w=-z, then r=0 and r is real. Suppose that w≠-z, that is, r≠0.

Remember this useful identity: if x is a complex number then x\bar{x}=|x|^2 where \bar{x} is the conjugate of x.

Now, using the properties of the conjugate (the conjugate of the sum(product) of two numbers is the sum(product) of the conjugates):

\frac{r}{\bar{r}}=\frac{w+z}{1+wz} \left(\frac{1+\bar{w}\bar{z}}{\bar{w}+\bar{z}}{\right)

=\frac{(w+z)(1+\bar{w}\bar{z})}{(1+wz)(\bar{w}+\bar{z})}=\frac{w+z+w\bar{w}\bar{z}+z\bar{z}\bar{w}}{\bar{w}+\bar{z}+\bar{w}wz+\bar{z}zw}=\frac{w+z+w+|w|^2\bar{z}+|z|^2\bar{w}}{\bar{w}+\bar{z}+|w|^2z+|z|^2w}=\frac{w+z+\bar{z}+\bar{w}}{\bar{w}+\bar{z}+z+w}=1

Thus \frac{r}{\bar{r}}=1. From this, r=\bar{r}. A complex number is real if and only if it is equal to its conjugate, therefore r is real.

3 0
3 years ago
Find the value of the expression 6x + 3xy, when x = 2 and y = 4.
damaskus [11]
<h3>✽ - - - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ✽</h3>

➷ Substitute in the values:

6(2) + 3(2)(4)

Now just solve:

12 + 24 = 36

The answer is 36

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

7 0
4 years ago
Read 2 more answers
The ages of Sylvana’s three daughters are consecutive even integers. The sum of their ages is 60. Write an equation that represe
Dimas [21]
Let's solve this in two parts, first the equation. Let x represent the ages of the daughters, so the equation is 
x + (x+2) + (x+4) = 60
Next let's calculate the ages.
3x+6=60
3x=54
54/3=18, therefore x=18
x=18
x+2=20
x+4=22
So the ages of the daughters are from youngest to oldest are 18, 20, and 22
4 0
4 years ago
Can someone please help me with this? it's a bit confusing for me
Andrew [12]
I’m not sure this is a question and more of a statement?
8 0
3 years ago
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