<h2>
Answer:</h2>
<h2>
Step-by-step explanation:</h2>
This is a square pyramid because it's a solid having a square base. The point up the pyramid is called the apex and is directly above the middle of the square base. The surface area of a solid is the total area of its outer surface. If we unfold this pyramid, we'll get one square and four identical triangles. So the surface are can be calculated as follows:
FOR THE SQUARE:
FOR THE TRIANGLE:
Finally:
Just use desmos to graph functions.
Step-by-step explanation:
4x - 3y = 1 ....... 1
3y = x - 1 ..... 2
sub 2 in 1
4x - (x -1) = 1
4x - x + 1 = 1
3x = 1 - 1
3x = 0
divide by 3 on both side
x = 0
sub the value of x in 2
3y = 0 - 1
3y = -1
divide by 3 on both sides
y = - 1/3
(x;y)
(0;-1/3)
Answer:
x = 24; x = 25
Step-by-step explanation:
<u>Question 1</u>
x/4 = 6
x = 24 *multiply both sides by the denominator to isolate the x value
<u>Question 2</u>
x/2 = 12.5
x = 25 *multiply both sides by the denominator to isolate x
<h3>
Answer: 5/18</h3>
======================================================
Explanation:
I'll represent the dice results as an ordered pair. Something like (6,2) means the first die is a 6 and the second is a 2. The sum being 6+2 = 8.
There are only two ways to get to a sum of 8, and those two ways are:
Here are other possibilities if we allow the sum to be larger than 8
- (6,3)
- (6,4)
- (6,5)
- (6,6)
- (3,6)
- (4,6)
- (5,6)
- (6,6)
You should find that there are a total of 10 ways to have two dice add to a value that is 8 or larger, given that at least one of the dice must be a 6.
This is out of 6*6 = 36 ways to roll two dice without such a restriction. The probability we're after is 10/36 = (2*5)/(2*18) = 5/18
Side note: 5/18 = 0.2778 = 27.78% approximately
