MATHEMATICS MIDDLE SCHOOL

To solve the equation 2sin(2x)=cosx, you should rewrite it as _____.A)cosx(4sinx-1)=0
B)2sinx+cosx=0
C)cosx(2sinx-1)=0

Answers

Answer 1
Answer:

Answer:

A)cosx(4sinx-1)=0

Step-by-step explanation:

The given equation is

2 \sin(2x) = \cos(x)

We equate everything to zero to get:

2 \sin(2x) - \cos(x) = 0

Use the double angle property, to get:

2 (2\sin(x) \: \cos(x) ) - \cos(x) = 0

This implies that:

\cos x(4\sin \: x - 1) = 0

The correct answer is A
Answer 2
Answer:

Answer:

A. cos(4sinx-1) = 0

Step-by-step explanation:

use the double angle formulas and find that it is cos(4sinx-1)=0

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if you flip three fair coins, what is the probability that the first two flips will both be heads, and the third flip will be either heads or tails?

Answers

Well, any coin has a 1/2 chance of being heads or tails, so for the first two flips to be heads it would be 1/2*1/2=1/4. Now for the third coin flip, I’m not entirely sure what it’s asking but for any one side it will always be 1/2 no matter what previous flips came out to be.
Hope this helps!

The price of apples went from $1.99 per lb to $3.19 per lb in four years. Find the rate of change of the price of apples.

Answers

Answer: $0.3 per lb per year.

Step-by-step explanation:

We know that the rate of change in price is given by :-

r=\frac{\text{Change in price}}{\text{Time}}

Given: The price of apples went from $1.99 per lb to $3.19 per lb in four years.

Change in price =\$3.19-\$1.99=\$1.2

Time = 4 years

Now, the rate of change of the price of apples is given by :-

r=(1.2)/(4)=0.3

Hence, the rate of change of the price of apples= $0.3 per lb per year.

Answer:

$0.30 per lb per year

Step-by-step explanation:

The ratio of pens to pencils in Carlo case is 4:5 .He has 16 pens.how many pencils does Carlos have?

Answers

4pens=5 pencils

16pens=20pencils
For every 4 pencils he has 5 pens so Carlo has 20 pencils (4:5, 8:10, 12:15, 16:20) or (4:5 = 16:x where x equals 20)

Is 324 inches least, greater, or equal to 27ft

Answers

1 foot = 12 inches
2 feet = (2 x 12 inches) = 24 inches
3 feet = (3 x 12 inches) = 36 inches
.
5 feet = (5 x 12 inches) = 60 inches
.
.
10 feet = (10 x 12 inches) = 120 inches
.
.
20 feet = (20 x 12 inches) = 240 inches
.
.
27 feet = (27 x 12 inches) = 324 inches  I guess they're equal !
 
Yes.

324/12=27

Hope this helps :)

If g(x)=1.5x-3 ,determined if f(x) > g(x) when x = 4​

Answers

Answer:

4

Step-by-step explanation:

hope this helps

If a fish swims 7/8 of the depth of a 32-foot deep lake, how many feet down did the fish swim?

Answers

Fish swam down 28 feet deep down the lake.

What is multiplication?

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

A fish swims 7/8 of the depth of a 32-foot deep lake.

That means,

she swam down,

= 7/8 x total height of the lake

= 7/8 x 32

= 28 feet.

Therefore, she swam down 28 feet.

To learn more about the multiplication;

brainly.com/question/19634536

#SPJ5
Total * fraction = fraction of the depth
32* (7)/(8) =28ft

So the depth the fish swam down is 28 feet.
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