Answer:
Option D, 5 plus i square root of 11
Step-by-step explanation:
We have to find the solution of x² - 10x = -36
x² - 10x = -36
x² - 10x + 36 = 0
x² - 2(5x) + 25 + 11 = 0
(x-5)² + 11 = 0
(x-5)² = -11
(x-5) = √(-11)
x = 5 + i√11 [ since √(-1) = i]
Option D 5 plus i square root of 11 is the answer.
Ok so if 5x + 24 equals 9x - 17, the we can write it like this:
5x + 24 = 9x - 17 ~~~ We have to get x on one side to find out what it is. So you can either subtract 5x from both sides or 9x from both sides. Imma subtract 5x from north sides which becomes:
5x - 5x + 24 = 9x - 5x - 17 Now simplify
24 = 4x - 17 Now isolate 4x. To do that we have to add 17 to both sides
24 + 17 = 4x - 17 + 17 Now simplify
41 = 4x Now we have to get x alone on one side. So divide 4 from both sides. Becomes
41/4 = 4x/4 Now simplify.
10.25 = x
Answer:
13.89%
Step-by-step explanation:
First lets find all possibilities of two dice being thrown, we can do this by finding a simple dice chart online (I attached an image of one to help.)
There are 36 possibilities, and we need to find how often the two dice add together to equal eight. 6+2=8, 5+3=8, etc.
There are five 5 total times that two dice can equal eight. so 5 out of 36 times we roll two dice we'll get eight.
Type that into the ol' handy dandy calculator and we've got 0.1388888889. So... a lot of 8's, we don't need that many and we just can't have an answer with that many.
To make that number into a percentage we have to move the dot two spaces over, and round to the thousandths place (two numbers).
This would give us 13.89%, our final answer.
Hope this helped!
Triangular prism
length of slanted side:
sqrt(3^2 + 4^2) = 5
SA = 2(1/2)(8)(3) + 8(12) + 2(5)(12) =240
V = (1/2)(8)(3)(12) = 144
cuboid
SA = 2(7x6) + 2(7x5) + 2(6x5) = 214
V = 7x6x5 = 210
Answer:
Where is the question?
Step-by-step explanation:
