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Wording of the question is a bit unclear:

  If 'width ' is the height of the screen

then  'length'    would be 42 sin 28    this is the measure across the bottom of the screen

If 'width' and 'length' are the same thing then the measure across the bottom of the screen would be 42 cos 28

10000 = d ( 1+ .04/2)^21*2       Solve for d = the deposit to make

2880 maybe

e^(2*pi*i/11) = 0.84125 + 0.54064*i.  Plugging this in gives a value of 33.

The sum of all integral values of c is 1 + 2 + 19 + 20 = 42.

This is one line using Legendre's Theorem.

oops, I should have used parentheses to comport with PEMDAS. 

the line in question should read     "this relationship is   ( x + 237 ) / 4  =  80" 

_.

What is the solution to 3x^2 + 4x - 8 = 0

answer=c) x = -2 ± 2√7/3

I got the same answer. 

There are 2 solutions to the quadratic...

(x-4i)(x-3i)

so the solutions are 

4i and 3i

Using Quadratic formula, use a, b and c to slove for x. By doing this I got x=(7i+i)/2

Tell me if i'm wrong :)

To pass a course with a B grade, a student must have an average of 80 or greater. A student’s grades on three tests are 73, 86, and 78. Find what score the student must get on the next test to get a B average or better. What grade must the student get? ___ or greater.    

Call the required minimum grade on the next test x  

After having taken the next test, i.e., the fourth test, the student wants an average of 80. 

the scores he has made .....      73 + 86 + 78 + x 

divided by ....                            ————————        equals 80  

the total number of tests .....                4  

this relationship is                      x + 237 / 4  =  80  

multiply both sides by 4              x + 237  =  320  

subtract 237 from both sides                x  =  83   

The student must score 83 on the fourth test to have an average of 80.   

_.

f(1+i) =     (1+i)^2 = 1 + 2i + i^2 = 2i

f(2i) =( 2i)^2 = -4

f(-4) = - ( -4^2) = -16

f(-16)  = - (-16)^2 = - 256

We use the rule of at each step

f(f(f(f(1 + i))))

= f(f(f(2 + 2i)))

= f(f(-8i))

= f(64)

= -4096.

(73+86+78 + x) / 4  >= 80

73+86+78 + x >= 320

x >= 83

x = 121   (opposite angles in a parallelogram)

z = 19     alternate angles

y = 180 - 121 - 19       sum of angles in a triangle =180

b = bananas

o = oranges = 2b

p = 21 - b - 2b  

50 b  + 75 (2b) +  1.25 ( 21- b - 2b) = 1575      solve for b = banans   the  oranges = 2b    and papayas = 21-3b 

Let z = x + yi, so |z - 1| = |(x - 1) + yi| = sqrt((x - 1)^2 + y^2) <= 3, or (x - 1)^2 + y^2 <= 9.

Also, |iz + 3 - 5i| = |i(x + yI) + 3 - 5i| = |ix - y + 3 - 5i| = sqrt((-y + 3)^2 + (x - 5)^2).

Taking the derivative of (x - 1)^2 + y^2 <= 9 gives us (2(x - 1), 2y).  We then set this to to the derivative (-y + 3)^2 + (x - 5)^2, including a multiplier: (2k(-y + 3), 2k(x - 5)).

Solving, we get that the minimum of |iz + 3 - 5i| is 3 and the maximum is 7, so the set of all possible values is [3,7].

This is easy if you use Schinzel's Theorem: https://mathworld.wolfram.com/SchinzelsTheorem.html

That's a good stragety too, if you have any other questions i'll be happy to help, just post it on the forum :)

Any polygon with interior angles that add up to 540 must have 5 sides and 5 corners (a pentagon). Assuming it is a regular pentagon, you need to work out what 1/5 of 540 is, which is the same as dividing it by 5. 540/5 = 108. This is the number of degrees in one interior angle of a regular pentagon.

Oh I just read the question first and then I can read the passage and i just pick my answer 

Lol thank you. The easiest way is to read the passage thoroughly since the answe is always in the passage! And make sure to rule out answers which aren't even close to being an answer, in this case I rules out A and C which left me to only think about B and D which made it easier to find the answer.

Hello guest!

This problem is pretty simple. Since we cannot divide this we can change the division sign into a multiplication, but to do this we need to also take the reciprocal of 2/3, which means we flip th number so it becomes 3/2. Now we can simply multiply. (1/4)*(3/2) which should give you 3/8