Answer:
Put it as something which y=zx where z would be z>45
Step-by-step explanation:
Answer:
6/21
Step-by-step explanation:
1. First, check all the possible combinations for a pair of dice:
1-1
1-2 2-2
1-3 2-3 3-3
1-4 2-4 3-4 4-4
1-5 2-5 3-5 4-5 5-5
1-6 2-6 3-6 4-6 5-6 6-6
(Those are the numbers of the dice, separated by hyphons.)
2. Next, find out the products, since that is the info we need to go off of.
1
2 4
3 6 9
4 8 12 16
5 10 15 20 25
6 12 18 24 30 36
(those are all the products based on the same chart we saw above.)
3. Now, let's calculate the probability.
- Find the amount of prime numbers. (1, 2, 3, 5) Looks like there are four total.
- Find the amount of numbers that end in a five. (15, 25) There are two. I've skipped 5 because that is already on the list.
- Find the total amount of numbers. There are 21 in our case.
4. There are 6 numbers that will satisfy our needs. (prime or ending in 5)
There are 21 total.
6/21
If you need decimal form, there is a
0.2857 chance.
Hope this helped.
Answer:
528000 ft²
Step-by-step explanation:
The Pyramid Arena has a shape of a square pyramid. A square pyramid is a pyramid with a square base and the top point is directly above the center of the base. It consist of 5 faces (base and 4 triangles), 8 edges and 5 vertices.
Given:
length of base (b) = 600 ft and height of lateral face (h) = 440 ft.
Since the lateral faces are made of glass, the area of each lateral face is the same as the area of a triangle with base same as base length and height same as height of lateral face.
Therefore, area of each lateral face = 1/2 × b × h = 1/2 × 440 × 600 = 132000 ft²
The lateral faces are made almost completely of glass and they are 4 lateral faces, therefore the total area of the glass in the Pyramid Arena = 4 × 132000 ft² = 528000 ft²
Answer:
29.07m³
Step-by-step explanation:
7+6=13
378÷13=29.07m³
To get the graph to have one x-intercept, we must find the m value where the discriminant of the equation will equal 0.
The discriminant for a graph with one x-intercept is found with the following formula:

Plug in the values of the equation into this formula:



Add 144 to both sides:

Square root both sides to get m by itself:


In order for the graph to have one x-intercept, m must equal
-12 or 12.