Answer:
It will take 2.5 minutes to reach 27 gallon .
Step-by-step explanation:
He is filling it at a rate of 6 gallon per minute
suppose it takes x minutes to reach 27 gallon
water filled in x minutes =
water already present + volume of water at the rate of 6 in x minutes
12 gallons + 6 gallon . minute 8 x minutes
12 + 6x
This should be equal to atleast 27
12+ 6x = 27
let us subtract 12 from both sides
6x = 27-12
6x = 15
divide both sides by 6
x= 2.5
Answer
It will take 2.5 minutes to reach 27 gallon .
When He start to fill the water
The area of a sector is 339.336 cm²
The area of a sector is defined to be as the region of space bounded by a boundary from the center of the circle.
It can be determined by using the formula:

Given that;
- Radius r = 18 cm
- Angle θ = 120°
Then. the area of the sector can be calculated as:


A = 339.336 cm²
Learn more about the area of a sector here:
brainly.com/question/7512468?referrer=searchResults
It is 14 because if you have -1/2x + 1 = -x + 8 you would combine the multiplied terms into a single fraction then subtract the one from both sides simplify till you get -x/2 = -x + 7 then you will add like terms so the x’s then you multiply all terms by two like 2(-x/2)= 2•7 then you can get 14.
(Sorry if you didn’t need the whole explanation)
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
7⋅9=p⋅8
Solve the equation for p.
p=63/8
Hope this helped! Let me know if you have any questions. Mark me Brianliest please:)
Answer:
a) The length of segment AC is approximately 5.83 centimeters.
b) The angle ACD is approximately 34.5º.
Step-by-step explanation:
a) Since
, the length of segment
is determined by Pythagorean Theorem, that is:


The length of segment AC is approximately 5.831 centimeters.
b) Since
, the length of segment
is determined by this Pythagorean identity:


The angle ACD is determined by the following trigonometric expression:





The angle ACD is approximately 34.448º.