When you say "at the same ratio", you mean that you consume the same amount of gas for the same amount of miles.
We know that everytime you drive 75 miles, you use 3 gallons of gas.
Since 12 gallons of gas is four times 3 gallons of gas, if the ratio remains the same, you can drive four times the distance:
You drive 75 miles, and use 3 gallons.
You drive 75 more miles (so you are at 
miles) and use 3 more gallons, so you use 
gallons.
You drive 75 more miles (so you are at 
miles) and use 3 more gallons, so you use 
gallons.
You drive 75 more miles (so you are at 
miles) and use 3 more gallons, so you use 
gallons, and you're done.
Answer:
≈39.27 units
Step-by-step explanation:
To find the area of a semi circle, you use the formula for finding the area of a circle, which is 
, and then you divide that by 2 since it is half of a circle.
In this case, 
≈ 78.54
= 39.27
Answer:
lesser x is 1
greater x is 3
Step-by-step explanation:
Here, we want to solve the equation so as to get the bigger and the lesser x values
We proceed as follows;
x^2 -4x + 3 = 0
x^2 - x-3x + 3 = 0
x(x-1) -3(x-1) = 0
(x-3)(x-1) = 0
x = 3
or x = 1
Greater x is 3
lesser x is 1
Answer:
Both the parts of this question require the use of the "Intersecting Secant-Tangent Theorem".
Part A
The definition of the Intersecting Secant-Tangent Theorem is:
"If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment."
This, when applied to our case becomes, "The length of the secant RT, times its external segment, ST, equals the square of the tangent segment TU".
Mathematically, it can be written as:
Part B
It is given that RT = 9 in. and ST = 4 in. Thus, it is definitely possible to find the value of the length TU and it can be found using the Intersecting Secant-Tangent Theorem as:
Thus,
Thus the length of TU=6 inches
