It would be a direct variation.
Answer:
9^8
Step-by-step explanation:
The total number of ants is
(total number of sections)(ants in each section).
let x be the total number of ants.
Substitute the given values.
x = (9^2)(9^6)
x = 9^(2+6) <= exponent rule: when multiplying exponents with the same base, add the exponents.
x = 9^8
Convert minute to seconds (1 minute = 60 seconds), set up a proportion, cross multiply, and solve.
Proportion: =
Cross multiply: 60 · 100 = 5 · x
Solve (divide both sides by 5): 1200 = x
Answer: 1200 ft
This will give us
That is the second option.
Please mark me as brainliest.
Answer:
x + y = 90 - - - (1)
y = 1/4x - - - - (2)
Step-by-step explanation:
x = larger acute angle
y = smaller acute angle
Recall:
A right angle measures 90°
Sum of angles in a triangle = 180°
y = 1/4x
Hence :
90 + x + y = 180
x + y = 180 - 90
x + y = 90 - - - (1)
y = 1/4x - - - - (2)
Put y = 1/4x in (1)
x + 1/4x = 90
1.25x = 90
x = 90 / 1.25
x = 72
x + y = 90
72 + y = 90
y = 90 - 72
y = 18