Answer:
a=-7.275*967
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
the common ratio is 1/2 so you do 30(1/2)
30(1/2)=15
Answer:
Step-by-step explanation:
Assume that the two prisms have bases of equal area.
Then the volume of the rectangular prism is V = (base area)(height).
The volume of the triangular prism is V = (1/3)(base area)(height)
We could compare the two volumes by creating the ratio inequality
(1/3) (base area)(t-height)
------------------------------------------
(base area)(r-height)
The triangular prism will have the greater volume for (1/3)((t-height) > r-height.
Answer:
Infinitely many solutions
Step-by-step explanation:
y = -1/6x + 5
x + 6y = 30
We can solve this system by using substitution or elimination. Since we are given an isolated y-value, I'll be using the substitution method.
Substitute y = -1/6x + 5 into the second equation for y.
Distribute 6 inside the parentheses.
Combine like terms.
Since this is a true statement, we can conclude that this system has a solution of all real numbers, or infinitely many solutions.
We can also see that these equations are indeed equivalent by multiplying the top equation by 6.
6 * (y = -1/6x + 5) → 6y = -x + 30
Adding x to both sides and rearranging terms gives us x + 6y = 30, which is the same as the second equation.
32^(2c)=8^(c)+7
2^10c=2^3c+21 im gonna assume 7 is in the exponent
10c=3c+21
7c=21
c=3
