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3 years ago

Solve the compound inequality below:

1 answer:

8 0

3 - 8r <= 3 + 4r
3 - 3 <= 4r + 8r
0 <= 12r
0 <= r

-6+ 4r < 2+ 4r
4r - 4r < 2 + 6
0 < 8
all real numbers

The "or" statement means combining the sets of solutions.

combined sets = all real numbers

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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

2 years ago

Plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

vampirchik [111]

Answer:

-4

Step-by-step explanation:

PEMDAS

exponents -> 2^2 = 4

divide -> -36/4 = -9

add -> -9 + 5 = -4

3 0

2 years ago

Please help anybody I need to fast please

elena55 [62]

Answer:
D. t = -1

step-by-step explanation:
that side should be 180 degrees and the whole is 360 but we are only measuring half
so (20t + 5) = 15t
-20t -20t
5 = -5t
/-5 /-5
-1 = t

4 0

2 years ago

The spinner below shows 10 equally sized slices. Maya spun the dial 20 times and got the following results. a) From Maya's resul

yKpoI14uk [10]

A) 1/2 bc half of the spinner is white
B) 1/2, 0.5
C) is the last one, the bottom one to be right

3 0

2 years ago

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A car park is full. 1/3 of the cars leave.60% of the cars are red. There are 174 red cars. How many cars are left in the car par

juin [17]

Answer:

290

Step-by-step explanation:

60% of ⅔X = 174

60/100 × 2/3 × X = 174

⅖X = 174

X = 435

⅔X = ⅔×435

290

290 cars are left in the parking,

145 cars left

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3 years ago

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