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3 years ago

1. 248 + 56 base 8 2. 751 +24 base 4 3. 1001 _ 111 base 3 4.3121 _1334 base 5 5. 321 ×21 base 5 6. 205+ 51 base 6

Mathematics

1 answer:

liraira [26]3 years ago

5 0

Answer:

If we are converting between two bases other than decimal, we typically have to convert ... For two digits in base 8, we need 4, 5, or 6 digits in base 2.

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In the triangle below,

Fynjy0 [20]

Step-by-step explanation:

4x -20 + 3x +12 = 90

7x -8 = 90

7x = 98

x = 14

Angle F: 4(14) -20 = 36

Angle E: 3(14)+12= 54

Angle G : 90

3 0

3 years ago

Simplify: cos2x-cos4 all over sin2x + sin 4x

GrogVix [38]

Answer:

$\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}=\tan\left(x\right)$

Step-by-step explanation:

$\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}$

Apply formula:

$\cos\left(A\right)-\cos\left(B\right)=-2\cdot\sin\left(\frac{A+B}{2}\right)\cdot\sin\left(\frac{A-B}{2}\right)$ and

$\sin\left(A\right)+\sin\left(B\right)=2\cdot\sin\left(\frac{A+B}{2}\right)\cdot\sin\left(\frac{A-B}{2}\right)$

We get:

$=\frac{-2\cdot\sin\left(\frac{2x+4x}{2}\right)\cdot\sin\left(\frac{2x-4x}{2}\right)}{2\cdot\sin\left(\frac{2x+4x}{2}\right)\cdot\cos\left(\frac{2x-4x}{2}\right)}$

$=\frac{-\sin\left(\frac{2x-4x}{2}\right)}{\cos\left(\frac{2x-4x}{2}\right)}$

$=\frac{-\sin\left(\frac{-2x}{2}\right)}{\cos\left(\frac{-2x}{2}\right)}$

$=\frac{-\sin\left(-x\right)}{\cos\left(-x\right)}$

$=\frac{-\cdot-\sin\left(x\right)}{\cos\left(x\right)}$

$=\frac{\sin\left(x\right)}{\cos\left(x\right)}$

$=\tan\left(x\right)$

Hence final answer is

$\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}=\tan\left(x\right)$

6 0

3 years ago

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Oksi-84 [34.3K]

Answer:

y=10

Step-by-step explanation:

y=4x+2

y=4(2)+2

y=8+2

y=10

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3 years ago

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Korvikt [17]

Answer:2,820

Step-by-step explanation:

multiply 3,000 by 0.03 which will get you 90 which is 3% of that for one year and for two years you just multiply 90 by 2 and get 180. subtract 180 from 3,000

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3 years ago

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Evaporation, Solid-State Diffusion, and lastly, When Hot Water cools. <span />

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1. 248 + 56 base 8 2. 751 +24 base 4 3. 1001 _ 111 base 3 4.3121 _1334 base 5 5. 321 ×21 base 5 6. 205+ 51 base 6​

1. 248 + 56 base 8 2. 751 +24 base 4 3. 1001 _ 111 base 3 4.3121 _1334 base 5 5. 321 ×21 base 5 6. 205+ 51 base 6