MATHEMATICS COLLEGE

Express M=cos3A + cos A and N = sin3A + sin A as a product form​

Answers

Answer 1
Answer:

Answer:

2cosAcos2A, 4sinAcos^2A

Step-by-step explanation:

cos3A+cosA

2cos((3A+A)/2)cos((3A-A)/2)

2cos(4A/2)cos(2A/2)

2cosAcos2A

sin3A+sinA

2sin((3A+A)/2)cos((3A-A)/2)

2sin(4A/2)cos(2A/2)

2sin2AcosA

4sinAcos^2A

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Simplify i^15. (imaginary numbers to the 15th power)

Please help, having some trouble!

Answers

9514 1404 393

Answer:

  370

Step-by-step explanation:

The set B∩(F∪M) is the sum of the numbers on line B in both the M and F columns:

  B∩(F∪M) = 54 +316 = 370

The set B∩(F∪M) contains 370 respondents.

What is the solution to x+5>-7

Answers

According to the given data we have the following inequality:

x+5>-7

To find the solution of the inequality above we would make the following:

\begin{gathered} \mathrm{Subtract\: }5\mathrm{\: from\: both\: sides} \n x+5-5>-7-5 \end{gathered}\begin{gathered} \text{Finally, simplify},\text{ and so:} \n x>-12 \end{gathered}

Therefore, the solution to x+5>-7​ would be x>-12

An architect uses a scale of 2/3inch to represent 1 foot on a blueprint for a building. If the east wall of the building is 24 feet long, how long (in inches) will the line be on the blueprint?

Answers

 Length of the wall on blueprint will be 16 inches.

Use of scale to calculate the distances or length,

  Scale used by an architect on a blueprint,

                 (2)/(3)\text{ inch}= 1\text{ foot}

Scale represents the ratio of the length of the wall on blueprint and actual length,

\frac{\text{Length on the blueprint}}{\text{Actual length}} =\frac{(2)/(3)\text{ inches}}{1\text{ feet}}

\frac{\text{Length on the blueprint}}{\text{Actual length}} =(2)/(3)

If actual length of the east wall of the building = 24 feet

Substitute the value in the expression representing the ratio,

\frac{\text{Length on the blueprint}}{24} =(2)/(3)

Length of the blueprint = (2)/(3)* 24

                                       = 16 inches

    Therefore, length of the wall on blueprint will be 16 inches.

Learn more about the use of scale to calculate the distances on map.

brainly.com/question/11276271?referrer=searchResults

Answer:

16 in.

Step-by-step explanation:

We have the ratio

(in.)/(ft): ((2)/(3) )/(1)

How about let's make this easier.  Easier is better, right?  Let's get rid of the fraction 2/3.  We will do that by multiplying 2/3 by 3 and 1 by 3 to get the equivalent ratio of

(in.)/(ft):(2)/(3)

Now we need to know how many inches there would be if the number of feet is 24:

(in.)/(ft):(2)/(3)  =(x)/(24)

Cross multiply to get

3x = 48 so

x = 16 in.

(1 point) For the equation given below, evaluate ′ at the point (−1,2). (5−)^4+4^3=2433. ′ at (−1,2) =

Answers

Answer:

(343)/(71)

Step-by-step explanation:

Given the equation

(5x-y)^4+4y^3=2433

Find the derivative:

((5x-y)^4+4y^3)'=(2433)'\n \n4(5x-y)^3\cdot (5x-y)'+4\cdot 3y^2\cdot y'=0\n \n4(5x-y)^3\cdot (5-y')+12y^2y'=0

Substitute

x=-1\n \ny=2,

then

4(5\cdot (-1)-2)^3\cdot (5-y')+12\cdot 2^2\cdot y'=0\n \n4(-5-2)^3(5-y')+48y'=0\n \n4\cdot (-7)^3\cdot (5-y')+48y'=0\n \n-1,372(5-y')+48y'=0\n \n-6,860+1,372y'+48y'=0\n \n1,420y'=6,860\n \ny'=(6,860)/(1,420)=(686)/(142)=(343)/(71)

Which equation represents the line that passes through points (1, –5) and (3, –17)?A. y = -6x + 1
B. y = 6x + 1
C. y = -6x - 1
D. y = 6x - 1

Answers

Answer:

C

Step-by-step explanation:

I’m rusty with my math, so I’m not 100% sure this is correct. My best attempt.

(1,-5) & (3,-17)

1=1x, -5=1y, 3=2x, -17=2y

Formula is y2-y1/x2-x1

-17 - -5 = -12

3 - 1 =2

So -12/2 = -6

Formula for the line is

y-y1 = m (x-x1)

In this equation m=-6

Y - -5 = -6 ( x - 1 )

Answer:C

Step-by-step explanation:

The volume of a triangular prism is increased by a factor of 8.By what factor is the surface area of the figure increased?
o 2
o 4
016
o 24

Answers

c:16

i believe that is the right answer
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