Rewrite 8 1/2 as an improper fraction

Mathematics

1 answer:

g100num [7]3 years ago

3 0

Answer:

17/2

Step-by-step explanation:

8 × 2 = 16 adding 1 = 17

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Cody,Liam and Molly have 60 stickers in total. Cody has half as many stickers as Liam. Molly has three times as many stickers as

lesantik [10]

Answer:

Cody have 10 stickers

Step-by-step explanation:

we are going to represent relationships as equals by naming the amount that each person has and we will also represent the total amount of stickers

C = Cody

L = Liam

M = Molly

L = 2C

M = 3C

C + L + M = 60

we replace the L with 2C and the M with 3C

C + 2C + 3C= 60

6C = 60

C = 10

Cody have 10 stickers

3 0

3 years ago

Express the product of z1 and z2 in standard form given that <img src="https://tex.z-dn.net/?f=z_%7B1%7D%20%3D%20-3%5Bcos%28%5Cf

Marta_Voda [28]

Answer:

Solution : 6 + 6i

Step-by-step explanation:

$-3\left[\cos \left(\frac{-\pi }{4})\right+i\sin \left(\frac{-\pi }{4}\right)\right]\cdot \:2\sqrt{2}\left[\cos \left(\frac{-\pi }{2}\right)+i\sin \left(\frac{-\pi }{2}\right)\right]$

This is the expression we have to solve for. Now normally we could directly apply trivial identities and convert this into standard complex form, but as the expression is too large, it would be easier to convert into trigonometric form first ----- ( 1 )

( Multiply both expressions )

$-6\sqrt{2}\left[\cos \left(\frac{-\pi }{4}+\frac{-\pi \:\:\:}{2}\right)+i\sin \left(\frac{-\pi \:}{4}+\frac{-\pi \:\:}{2}\right)\right]$

( Simplify $\left(\frac{-\pi }{4}+\frac{-\pi }{2}\right)$ for both $\cos \left(\frac{-\pi }{4}+\frac{-\pi }{2}\right)$ and $i\sin \left(\frac{-\pi }{4}+\frac{-\pi }{2}\right)$ )