Answer:
3 quarts
Step-by-step explanation:
divide the volume value by 4
Answer:
102 feet tall
Step-by-step explanation:
12 multiplied by 8 1/2 to get 102
180 ÷3 = 60 ° (angles on a straight line equals to 180 ° )
a+b+60 =180°
a+ b= 180 ° - 60° = 120°
(a+b) are 2 variables
so 120 ÷2 =60 °
therefore a and b =60 °
c +b+ 60° = 180° ( co - interior angles are supplementary angles )
c+60° +60° =180°
c +120° =180°
c =180°-120°
c=60 °
d=60° (alternate angles are equal )
or
c+b+d=180°
60° +60° + d = 180°
d=180°-120°
d=60°
1. Given that the width of the rectangle is x, and the area of the rectangle may be represented by the equation x^2 + 5x = 300, we can solve this equation for the width (x) as such:
x^2 + 5x = 300
x^2 + 5x - 300 = 0 (Subtract 300 from both sides)
(x - 15)(x + 20) = 0 (Factorise x^2 + 5x - 300)
From this, we get: x = 15 or x = -20
Since the width must be a positive length (ie. more than 0), -20 would be an invalid answer in the given context and thus the width is given by x = 15.
2. If we know that the length is 5 inches more than the width, we simply need to add 5 to the width we found above to obtain the length:
Length = x + 5
Length = 15 + 5 = 20
Thus, the width of the rectangle is 15 inches and the length of the rectangle is 20 inches.
Answer:
n = 3
Step-by-step explanation:
-18 = -6n - 6 + 2n
-18 = -6n +2n -6 (Combine like terms)
-18= -4n -6
-18+6= -4n -6+6 (Addition Property of Equality)
-12 = -4n
-12/-4 = -4n/-4 (Division Property of Equality)
3=n
The value of 'n' is 3.