What is the horonzontial distance between the two points(3,4) and (8,4)

Write each sum or difference as a product with positive arguments -4(sin4x - sin2x) A) 8cos 3xsin x B) 8sin xsin 3x C) -8cos 3xs

pshichka [43]

Answer:

C) -8cos 3xsin x

Step-by-step explanation:

To express -4(sin4x - sin2x) as a product, we use the formula sinA - sinB = 2cos[(A + B)/2]sin[(A - B)/2.

Comparing sin4x - sin2x with sinA - sinB, A = 4x and B = 2x.

Substituting these into the equation, we have

sin4x - sin2x = 2cos[(4x + 2x)/2]sin[(4x - 2x)/2

sin4x - sin2 x = 2cos[6x/2]sin[2x/2]

sin4x - sin2x = 2cos3xsinx

So, -4(sin4x - sin2x) = -4(2cos3xsinx) = -8cos3xsinx

So, -4(sin4x - sin2x) = -8cos3xsinx

Thus, the answer is C

5 0

3 years ago

Find the perimeter of the following shape please I’ll give Brainly

Digiron [165]

Answer:

33 is the p

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Andrew uses 630 one-inch unit cubes to completely fill the inside of a rectangular box. Which could be the dimensions of the box

dsp73

we have 630 one-inch unit cubes and we want to completely fill the rectangular box (unknown dimensions).

If all the cubes are fitted tightly inside rectangular box without living any space, then box volume would be equal to cubes volume.

There are 630 one-inch unit cubes, so volume of cubes = 630 cubic inches.

Now the volume of rectangular box would also be 630 cubic inches.

We know the formula for volume of rectangular box = length × width × height.

So we need to find any three positive integers whose product is 630.

Out of all given choices, only option A satisfies the condition of factors of 630.

Hence, option A i.e. (7 in x 9 in x 10 in) is the final answer.

7 0

3 years ago

The surface area of a rectangular prism is 250 cm 2. If its height is 10 centimeters, and its width is 5 centimeters, what is it

Minchanka [31]

Answer:

$V=250\ cm^{3}$

Step-by-step explanation:

step 1

Find the length of the base L

we know that

The surface area of a rectangular prism is equal to

$SA=2B+PH$

where

B is the area of the base

P is the perimeter of the base

H is the height of the prism

substitute

$SA=2(LW)+2(L+W)H$

we have

$W=5\ cm$

$H=10\ cm$

$SA=250\ cm^{2}$

substitute in the formula and solve for L

$250=2(5L)+2(L+5)10$

$250=10L+20L+100$

$30L=250-100$

$L=5\ cm$

step 2

Find the volume of the rectangular prism

The volume is equal to

$V=(LW)H$

we have

$W=5\ cm$

$L=5\ cm$

$H=10\ cm$

substitute

$V=(5*5)*10=250\ cm^{3}$

8 0

4 years ago

Read 2 more answers

Consider the following set of sample data: 21, 24, 25, 32, 35, 31, 29, 28. Which of the following will give a 95% confidence int

IgorLugansk [536]

Answer:

(15.23,41.016)

Step-by-step explanation:

WE must determine the mean of the data set: Which is the sum of the set divided by the number in the set.

$=(21+24+25+32+35+31+29+28)/8=225/8=28.125$

We must also determine the standard deviation: Which is the square root of the variance and the variance is the sum of squares of the sample number minus the mean divided by the number if the set data:

$=((21-28.125)^2+(24-28.125)^2+(25-28.125)^2+(32-28.125)^2+(35-28.125)^2+(31-28.125)^2+(29-28.125)^2+(28-28.125)^2)/8$

$=148.877/8=18.6$

The 95% confidence interval is defined as: The mean ± 1.96*standard deviation divided by the sqaure root of the number of data in the set:

$=28.125+(1.96\cdot{18.6})/(\sqrt{8})$

$=41.016$

$=28.125-(1.96\cdot{18.6})/(\sqrt{8})=15.23$

The confidence interval for this data set is (15.23,41.016)

4 0

3 years ago