Statement: Reasoning:
(1 (the biggest box (1 Given
(2measure 8= 6. (2 def of congruentThat’s what Ik is right
Answer:
The greatest number of arrangements that he can make if every balloon is used is 8.
Step-by-step explanation:
The greatest number of arrangements will be the greatest common factor between 24 and 32.
GCF of 24 and 32:
We keep factoring both numbers by prime factors, while they can both be divided by the same number. So
24 - 32|2
12 - 16|2
6 - 8|2
3 - 4
There is no factor for which we can divide both 3 and 4. So the GCF is 2*2*2 = 8.
This means that the greatest number of arrangements that he can make if every balloon is used is 8.
You would have to find the height.
To do this, you cut the triangle from the upper vertex to the base to create two new triangles.
Then you use the Law of Cosines. You could use the google calculator for this by searching “law of cosines calculator” and inputting the values, but in case of a test, the formula is a^2 = b^2 + c^2 - 2bc cosA
If you could provide an example of a triangle, I will gladly help you with the steps! Hope this helped!
Solution:
we are given that
The difference of two numbers is equal to 0.6.
Let the numbers be x and y so we can write

Their quotient is also 0.6.
so we can write

Now solve these two equations together we get





Hence the numbers are -1.5 and -0.9
The range of the set is 17 because the range is the largest number minus the smallest number in this set 93 is the largest and 76 is the smallest therefore you subtract them 93-76=17.