Suppose Sine (x) = four-fifths and cos(x) < 0. What is the value of cos(2x)?

Negative StartFraction 14 Over 25 EndFraction
Negative StartFraction 7 Over 25 EndFraction
StartFraction 7 Over 25 EndFraction
StartFraction 14 Over 25 EndFraction

Answer:

Option (4)

Step-by-step explanation:

STEP - 1

cos(x + y)

STEP - 2

[tex]\text{sin}[\frac{\pi}{2}-(x+y)][/tex]

STEP - 3

[tex]\text{sin}[(\frac{\pi}{2}-x)-y][/tex]

STEP - 4

[tex]\text{sin}(\frac{\pi}{2}-x)\text{cos}(-y)+\text{cos}(\frac{\pi}{2}-x)\text{sin}(-y)[/tex]

STEP - 5

cos(x)cos(y) - sin(x)sin(y)

[Since, [tex]\text{sin}(\frac{\pi}{2}-x)=cos(x)[/tex] and [tex]\text{cos}(\frac{\pi}{2}-x)=\text{sin}(x)[/tex]]

[Since, cos(-x) = cos(x) and sin(-x) = -sin(x)]

Therefore, Option (4) will be the correct option.

Answer:

D

Step-by-step explanation:

Top Answer was right, don't know why it was rated poorly

Not an answer. There should be a question here? I didn’t see one

Answer:

pls report for spam

Step-by-step explanation:

Answer:

4+34i

Hope this helps!!!!!!

Answer:

z=2x+5

Step-by-step explanation:

Answer:√29.5= 5.43139

Step-by-step explanation:

Answer:

[tex]y = 3x-2[/tex]

Step-by-step explanation:

[tex]general \: form of \: slope\: intercept \: is : \\ y = m(x) + c[/tex]

Answer:

512

Step-by-step explanation:

Let the number of 7th graders in the school is x.

As three-quarters of them play at least one sport, so, the number of 7th graders who play sport = [tex]\frac 3 4 x[/tex].

Among the 7th graders who play sports, half of them play more than one sport. So, the number of 7th graders who play more than one sport [tex]= \frac 1 2\times \frac 3 4 x=\frac 3 8 x[/tex].

Among the 7th graders who play more than one sport, one-third of them play more than two sports. So, the number of 7th graders who play more than two sport [tex]= \frac 1 3\times \frac 3 8 x=\frac 1 8 x[/tex].

Among the 7th graders who play more than two sports, one-quarter of them play more than three sports.

So, the number of 7th graders who play more than three sport [tex]= \frac 1 4\times \frac 1 8 x=\frac{1}{32} x[/tex].

7th graders play more than three sports at the school= 16

[tex]\Rightarrow \frac{1}{32} x=16[/tex]

[tex]\Rightarrow x =16 \times 32[/tex]

[tex]\Rightarrow x = 512[/tex]

Hence, the total numbers of 7th graders in the school are 512.

Answer:

m=-4

Step-by-step explanation:

hope that helps:)

Answer:

-4

Step-by-step explanation:

m= - 13 + 9

calculate

__________

solution

m=-4

Answer:

A.)

Step-by-step explanation:

Answer:

i think translation

Step-by-step explanation:

or matbe reflection

Answer:

I think the answer is B my friend

Answer:

D

Step-by-step explanation:

The rest of the question is the attached figure and the statement options.

A. Over the interval [–4, –2], the local minimum is 0.

B. Over the interval [–2, –1], the local minimum is 25.

C. Over the interval [–1, 4], the local minimum is 0.

D. Over the interval [4, 7], the local minimum is -7.

============================================================

According to the graph, we will check the options:

A. Over the interval [–4, –2], the local minimum is 0.  (Wrong)

Because the minimum is -12

B. Over the interval [–2, –1], the local minimum is 25.   (Wrong)

Because the minimum is 18

C. Over the interval [–1, 4], the local minimum is 0.  (Wrong)

Because the minimum is at x = 4 less than zero

D. Over the interval [4, 7], the local minimum is -7.    (True)

Answer:

The answer would be D

Step-by-step explanation:

Answer:

speed of Jada = 6km per hour which is not equal to

speed of Andre = 8km per hour

They did not run at same speed

Step-by-step explanation:

formula of speed = distance covered/ time taken

For Andre

Distance = 2 KM

time = 15 mins

60 mins = 1 hour

15 mins = 1/60 * 15 hour = 0.25 hours

thus,

speed = 2km/0.25 hour = 8 km per hour

Similarly for Jada

Distance = 3 KM

time = 20 mins

60 mins = 1 hour

20 mins = 1/60 * 20 hour = 1/3 hours

thus,

speed = 2km/(1/3)hour = 6  km per hour

Now we have

speed of Jada = 6km per hour which is not equal to

speed of Andre = 8km per hour

Answer:

A

Step-by-step explanation:

As it is technically the highest number as the greatest absolute value is never negative.

Answer:

But you just gave us the steps-

Answer:

Step-by-step explanation:

Well for this you wouldn't necessarily solve you you simplify, to simplify you would do 56- 12 which would get you 3x - 44.

Answer:

736.05

Step-by-step explanation:699.00 x 5.3%=37.047

699.00 + 37.05 = 736.05

Answer:

$37.05

Step-by-step explanation:

$699 × 5.3%

We must convert 5.3% into just a decimal (not a percentage)

To do so, move the decimal to the left two places.

This would be 0.053

699 × 0.053 = 37.047

Although the exact number is 37.047, money is only paid within two decimals places, so let's round up to the nearest hundredth place

37.047 rounds up to 37.05

$37.05 is how much tax will be paid on the TV

Question:

Which interest rate is missing from Renee’s table?

Answer:

Principal- $750

Interest Rate- $00.5

Time- 11 yrs. (Years)

Interest- $412.50

Explanation:

To calculate your interest rate, you need to know the interest formula I/Pt = r to get your rate. ...

I = Interest amount paid in a specific time period (month, year etc.)

P = Principle amount (the money before interest)

t = Time period involved.

r = Interest rate in decimal.

Therefore we get an answer of $00.5

Answer:

c

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

Answer:

x =11

Step-by-step explanation:

XWY + YXZ = XWZ

5x+5  + 2x+8 = 90

Combine like terms

7x+ 13 = 90

Subtract 13 from each side

7x= 90-13

7x = 77

Divide by 7

7x/7 = 77/7

x = 11

Answer:

i think x is bc=4x-5 meters

Step-by-step explanation:

Answer:

9) x=3

10)x=8.5

Step-by-step explanation:

Because M is a midpoint, for both questions, the equations on M's either sides are equal.

9) 5x+9=24

Subtract 9 from both sides

5x=15

Divide by 5 on both sides

x=3

10) 3x-7=x+10

Add 7 to both sides and subtract x from both sides

2x=17

Divide by 2

x=8.5

Answer: B

Step-by-step explanation:

Fractions, decimals, whole numbers, zero, and negatives. DOES NOT INCLUDE REPEATING DECIMALS.

Answer:

3

Step-by-step explanation:

because n=1 and you plug it in you get 3

Answer:

I think the next one 400

Answer; c= -d/a + b

Step-by-step explanation:

Answer:

5 hours

Step-by-step explanation:

Answer:

5 hours because you have double the people which means it would take half the time :)

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

774,

Step-by-step explanation:

Answer:

If you need to find how deep Lake Michigan is, it is 280 meters below the surface

Step-by-step explanation:

Answer:

The correct answer is K(-2,0) C(2,4)  U ( 0,-4)

Step-by-step explanation:

Given:

The function for size of a square frame is

[tex]f(x)=x+2[/tex]

where, x is the side length of the picture.

The function for the price in dollars for the frame is

[tex]p(x)=3x[/tex]

To find:

The single function for the price of a picture with an edge length of x.

Solution:

We know that, for a picture with an edge length of x.

Size of a square frame = f(x)

Price in dollars for the frame = p(x)

Single function for the price of a picture with an edge length of x is

[tex](p\circ f)(x)=p(f(x))[/tex]

[tex](p\circ f)(x)=p(x+2)[/tex]       [tex][\because f(x)=x+2][/tex]

[tex](p\circ f)(x)=3(x+2)[/tex]           [tex][\because p(x)=3x][/tex]

Let the name of this function is c(x). So,

[tex]c(x)=3(x+2)[/tex]

Therefore, the required function is [tex]c(x)=3(x+2)[/tex].