Whats four divided by one third??

Answers

Answer 1
Answer: 0.083 that is the answer

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Which of the following is the conjugate of a complex number with 2 as the real part and −8i as the imaginary part?(A. -2+8i; B. 2+8i; C. 2-8i; D.-2-8i)

Answers

Hi,

The complex number is

z = a+bi

For a = 2 and b = -8 

z = 2+(-8)i
z = 2-8i

The conjugate is 

z = a-bi

For a = 2 and b = -8 

z = 2-(-8)i
z = 2+8i

Answer:

B. 2+8i

What is the difference between the product of 19 and 3.6 and the sum of 2.87 and 3.5

Answers

19 × 3.6 =68.4
and 
2.87 + 3.5 =6.37
Therefore,68.4-6.37=62.03
product of 19 and 3.6 = 19 X 3.6 = 68.4
 sum of 2.87 and 3.5 = 2.87 + 3.5 = 6.37
 Difference = 68.4 - 6.37 = 62.03

Which of the following represents the measure of all angles coterminal with 418° angle?

Answers

The correct answer is:

58+360n, for any integer n.

Explanation:

412° is more than 360°, which is a full circle.  To find the smallest angle that is coterminal with 412°, we subtract 360° from it:
412-360 = 58°

This means that 58° is the smallest coterminal angle with 412°.

Every whole circle added on to this will also be coterminal with it.  Again, a whole circle is 360°; this means that every 360° increment that is added to 58° will be coterminal with it.  

To represent multiples of 360, we write 360n.  Adding this to our original angle, we have 58+360n.

This works for positive and negative numbers; for example, if you use n = -1:

58+360(-1) = 58-360 = -302

Graphing this angle, we would go counterclockwise from the positive x-axis; we would land at 58°, so it would still be coterminal with 412°.
418° is the same angle as 360° + 58° .

And then, if you add any whole number of 360s onto it,
you get the same angle again.

So it's    58+360n  with n=any whole number 
                                 (n=0 doesn't work, so it's not 'integer'.  '0' is an integer.)

Find z

Help me please

Answers

Answer: z=56

Step-by-step explanation:

Based on the figure, we can determine that 3y+8=68 and 4x=2z. With the knowledge that a trapezoid has 360°, we can first find the value of y to get the angle measures of the top angles. We can then subtract that from 360°.

3y+8=68        [subtract both sides by 8]

3y=60            [divide both sides by 3]

y=20

We now know the value of y is 20, but that is not relevant to solving this problem because we already know that the top angles are 68° each. So, we can subtract that from 360.

360-68-68=224

Now, we know that the bottom 2 angles have to add up to 224. Therefore, we can come up with 2 equations.

Equation 1: 4x=2z

Equation 2: 4x+2z=224

We can manipulate Equation 1 to be x=(1)/(2)z. Once we plug that into Equation 2, we can find the value of z.

4((1)/(2) z)+2z=224         [multiply]

2z+2z=224              [add]

4z=224                      [divide both sides by 4]

z=56

Now, we know that z=56.

What is the area of a regular hexagon with an apothem 8.7 yards and a side 10 yards long

Answers

Hello,
Forget the apothem (it is false)

The hexagon is composed of 6 isocele triangles having like base 10 and as height=√(10²-5²)=√75=5√3
The area of one triangle is 10*5√3/2=25√3
6 triangles:150*√3=212,13203... (yd²)

Please answer question with explanation

Answers

Answer:

Domain: \{x|x\in\mathbb{R}\}

Range: \{y|y\in\mathbb{R},y\leq -2\}

Step-by-step explanation:

The domain is the span of x-values the graph covers.

The range is the span of y-values the graph covers.

The given graph is a quadratic. We can see that the x-values will extend infinitely in both directions.

Thus, the domain is all real numbers.

In set notation, this is:

\{x|x\in\mathbb{R}\}

From the graph, we can see that the maximum value is y=-2. The graph won't ever go above this.

So, the range is all real numbers less than or equal to -2.

In interval notation, this is:

\{y|y\in\mathbb{R},y\leq -2\}

And we are done :)