How would I get the exact value of Tan157.5 using the half angle formula?

Answers

Answer 1

Answer: $\tan(157.5)=\tan(315/2)=(\sin(315))/(1+\cos(315))=(-√(2)/2)/(1+√(2)/2)=(-1)/(1+√(2))$

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Point A(–4, 2) is reflected over the line x = 3 to create the point A'. What are the coordinates of A'?. . A. (–4, –1). B. (–4, 8). C. (–1, 2). D. (10, 2).
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Round 45,122 to the nearest ten thousand

Answers

Rounded to the nearest 10,000, 45,122 is 50,000. This is because the 5 has been reached and so it is rounded up.

To round to the nearest ten thousand, we look at the last four digits. If these digits are 5000 or greater, then we round the thousands digit up, and if they are less than 5000, then we round down, keeping the ten thousand's digit the same.

The question is asking to Round 45,122 to the nearest ten thousand .

The last 4 digits are 5122.

This is greater than 5000.So we round up .

45,122 to the nearest ten thousand is 50,000.

Can someone show me how to do Mean absolute deviation What is the means-to-MAD ratio of the two data sets, expressed as a decimal? Data set Mean Mean absolute deviation (MAD) 1 4.3 1 2 4.9 1.2

Answers

Data Set Mean MAD 1 4.3 1 2 4.9 1.2 Mean-to-MAD ratio: Data set 1: 4.3/1 = 4.3 Data set 2: 4.9/1.2 = 4.08 Mean is the average of the data set. 4.3 + 4.08 = 8.38 8.38 / 2 = 4.19 or 4.20

Find the domain.
f(x) = 9x - 8

Answers

When function is defined by a polynomial expression, there is no restriction about domain, so

Domain is R (set of real numbers)

$x\in\mathbb{R}$

What would 0.9 go with??
2/25
23/50
14/20
90%

Answers

0.9 will go with 90% so that the answer

0.9 is equal to 90% so thats your answer

What is the formula for a cylinder and a circle?

Answers

The surface area of a right cylinder equals $2 \pi rh+2 \pi r^2$

As you can see in the attached picture, the surface area consists of two equal circles (bottom and top one) and area that would look like a rectangle, if "unraveled".

The formulae for the surface area of the circle is $\pi r^(2)$ . You have to multiply it by two and add to the area of the "rectangle", which equals $2 \pi rh$ where $2 \pi r$ is the circumference of the circle and $h$ is the height of the cylinder.

Assign two variables for each problem, and write the equations. Solve.In five years, Kate will be twice as old as Joey. Right now, Kate is 11 years older than Joey. How old is Joey right now?

I need two variables and two equations. And please solve it.

Answers

lets make k equal to Kate's age and j equal to Joey's age. If in 5 years Kate will be twice as old as Joe, you can write the equation k+5=2(j+5) and then simplify it to make it easier to work with.
k+5=2(j+5)
k+5=2j+10
k+5-2j=10
k-2j=5
since we know that right know Kate is 11 years older than Joey, you can write the equation k+j=11. Since you know have two equations with with the same variable, you can make a system of equations as fallows:
k-2j=5
k+j=11

Since you need to figure out how old Joey is, you need to somehow get k to cancel out. The easiest thing to do for this problem is to is multiply the top equation by -1 to get:
-k+2j=-5 (you have to add the bottom equation to the top equation)
k+j=11 (-k+k=0, 2j+j=3j, and -5+11=6)
Since k got canceled out, you are left with the equation 3j=6 which means j=2.
Therefore, Joey's current age is 2.

I hope this helps.

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