You can create two equations.
"<span>A car travels 20 mph slower in a bad rain storm than in sunny weather."
</span>

Where 'x' represents speed in sunny weather and 'y' represents speed in rainy weather.
"<span>The car travels the same distance in 2 hrs in sunny weather as it does in 3 hrs in rainy weather."

</span>Where 'x' represents speed in sunny weather and 'y' represents speed in rainy weather.
We want to find the speed of the car in sunny weather, or 'x'. Plug in the value for 'y' in the first equation into the second equation.


Distribute:

Subtract 3x to both sides:

Divide -1 to both sides:

So the car goes 60 mph in sunny weather.
The tangent meets the radius at a right angle.
We use (the converse of) the Pythagorean Theorem to check:

Not a right triangle
Answer: FALSE
Answer:
<em>Thus, the dimensions of the metal plate are 10 dm and 8 dm.</em>
Step-by-step explanation:
For a quadratic equation:

The sum of the roots is -b and the product is c. Note the leading coefficient is 1.
We know the perimeter of the rectangular metal plate is 36 dm and its area is 80 dm^2. Being L and W its dimensions, then:
P=2(L+W)=36
A=L.W=80
Note both formulas are closely related to the roots of the quadratic equation, we only need to adjust the data for the perimeter to be exactly the sum of L+W and not double of it.
Thus we use the semi perimeter instead as P/2=L+W=18
The quadratic equation is, then:

Factoring by finding two numbers that add up to 18 and have a product of 80:

The solutions to the equation are:
x=10, x=8
Thus, the dimensions of the metal plate are 10 dm and 8 dm.
Answer:
2.75
Step-by-step explanation:
46 divided by 4 is 11r2 then convert the 2 into a decimal which is 11.02 then divide it by 4 which is 2.75 i didn't double check so its its wrong im sorry