I BELIEVE THAT ALL (96m^3) IS UNDER THE SQUARE ROOT.
If so : 96 could be written as 16x 6 & m³ could be written as m²xm:
7√(96m^3) = 7√(16 x 6 x m² m) =7[4m√(6m)]
=28m√(6m)
Answer:
45 degrees
Step-by-step explanation:
Here, we want to get the value of the acute angle
From the question, we have it that the sin of the acute angle equals its cosine
Recall;
cos A = sin (90-A)
Hence, if A is 45, then Cos A and Sine A will be the same
This means the value of theta which is the acute angle is 45 degrees
Complete question :
The local recreation center charges members a registration fee and a separate monthly membership fee. The equation of the function given models the total fee, f(x), in dollars, that a person pays for x months of membership.
f(x)=25x+50
What does the number 25 represent?
A. the initial registration fee
B. the number of months that a person is a member
C. the monthly membership fee
D. the total amount that a member pays in fees
Answer:
C. the monthly membership fee
Step-by-step explanation:
Given the function :
f(x)=25x+50
The function f(x) can be written thus :
Cost = (monthly membership fee * Number of months) + initial registration fee
Comparing the function with the linear equation model:
y = mx + c
50 corresponds to c (intercept) which is the initial registration fee being charged.
m = slope = monthly fee paid
Hence, 25 represents the monthly fee paid
Step-by-step explanation:
I guess, it means every meter costs these amounts.
and the specified costs are not fit the whole bundle.
it is also unclear, if "half of it" means half of the original x meters, or half of the remaining meters (after selling 2/5 of the original meters). I assume the first.
so, we have
-5x
+ 2/5x × 5.5
+ 1/2x × 6.4
+ (10/10 - 4/10 - 5/10)x × 6 = + 1/10x × 6
= 120 ( a income minus costs is the profit, so balancing both sides in a "+" and "-" expression gives us the remaining profit).
about the line with the 1/10 :
the leftovers. 10/10 is the whole x at the beginning.
2/5 = 4/10.
1/2 = 5/10.
I brought all involved fractions to the same denominator of the smallest common multiple of 2 and 5 (10).
in full
-5x + (2/5)x×5.5 + (1/2)x×6.4 + (1/10)x×6 = 120
-5x + 2.2x + 3.2x + 0.6x = 120
-5x + 6x = 120
x = 120
so, he bought 120m in the first place.
it would be 690 because the final number is below 5.
