


Answer: 24 gallons
Check: (1/6)24=4, 4+14=18, 18/24=3/4, good
Answer:
The correct answer is 20x-1
Answer:
Length = 13
Width = 7
Step-by-step explanation:
Given:
length = 2(width) - 1
Area of a Rectangle = lω = 91 cm²
Calculation:
Area of a Rectangle = lω = 91 cm²
(2ω-1)ω = 91
= 2ω²- ω - 91 = 0
=(2ω+13)(ω-7)=0
ω = -6.5 ω=7
length = 2(width) - 1
l=2(7) - 1
l = 13
Answer:
Sonji is 0.5 miles far from the finish line
Step-by-step explanation:
Data provided in the question:
Distance between the Sonji and the finish line = 0.4 miles
Distance run by Sonji back = one tenth of a mile
i.e =
miles = 0.1 miles
Hence,
The total distance of Sonji from the finish line will be
= Distance between the Sonji and the finish line + Distance run by Sonji back
= 0.4 miles + 0.1 miles
= 0.5 miles
Hence,
Sonji is 0.5 miles far from the finish line
Answer:
angle = 50.8° (to the nearest tenth of a degree)
Step-by-step explanation:
In a right triangle:
- The angle between the shorter leg and the hypotenuse is the larger acute angle of the triangle.
- The angle between the longer leg and the hypotenuse is the smaller acute angle of the triangle.
We have been given the measures of the <u>shorter leg</u> and the <u>hypotenuse</u>, so the angle between them is the <u>larger acute angle</u> (which we need to find).
shorter leg = 3√6 cm
hypotenuse = 3√15 cm
So to find the angle, we need to use the trig ratio: 
If
is the angle, then the short leg is the "adjacent" side to the angle and the "hypotenuse" is the hypotenuse.
Substituting the given values:

⇒ 
Therefore, the angle = 50.8° (to the nearest tenth of a degree)