Can someone help me please for brainliest?
1 answer:
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Answer:
7 gallons were used for city driving.
Step-by-step explanation:
I am going to solve this question by a system of equations.
I am going to say that:
x is the number of gallons driven in the city.
y is the number of gallons driven in the highway.
19 gal of gas
This means that
Carole's car averages 13.2 mi/gal in city driving and 25.3 mi/gal in highway driving. If she drove a total of 396.0 mi.
This means that
How many of the gallons (to the nearest gallon) were used for city driving?
This is x
From the first equation, i will have
Replacing in the second equation
7 gallons were used for city driving.
Solution:
We have: In the attached image, observe rectangle triangle ΔBAD
Use the Pythagorean Theorem:
BD = √(AB² + AD²)
BD = √(2² + 4²)
BD = √(4 + 16)
BD = √20
In the attached image, observe rectangle triangle ΔBDH
Use the Pythagorean Theorem:
BH = √(BD² + DH²)
BH = √(√20² + 5²)
BH = √(20 + 25)
BH = √45
BH = √(9 × 5)
BH = √9 × √ 5
BH = 3√5
BH = 3 × 2.24
BH = 6.72 cm
We have: In the attached image, observe rectangle triangle ΔBAD
Use the Pythagorean Theorem:
BD = √(AB² + AD²)
BD = √(2² + 4²)
BD = √(4 + 16)
BD = √20
In the attached image, observe rectangle triangle ΔBDH
Use the Pythagorean Theorem:
BH = √(BD² + DH²)
BH = √(√20² + 5²)
BH = √(20 + 25)
BH = √45
BH = √(9 × 5)
BH = √9 × √ 5
BH = 3√5
BH = 3 × 2.24
BH = 6.72 cm
Answer:
x=13 feet
Step-by-step explanation:
A ramp is between 1.96 and 1.80 feet, we will take 1.96
and R(x)=1.96 feet: we apply quadratic formula;
, where a=-0.05, b=0.8 and c=-1.96, so
solving
; we take the highest value of x, x=13