It the wiper blade (and arm) made a full rotation, 2 circles would be formed.
One small circle with radius
b, and a larger circle with radius
a+b.
The areas of these 2 circles are respectively:
and
120° is 1/3 of a complete angle 360° which form a circle, so the areas formed by the arm of length b, and the arm + the wiper blade (a+b) are:
and
in squared respectively.
the actual wiped area is
(in squared)
Area of the window is 54*24= 1296 (in squared)
thus, the ratio of the wiped area to the whole area of the window is 351.7/1296=0.271
Converted to percentages, this is 27.1%
Answer: 27.1%
Answer:
Step-by-step explanation:
We have the equation:
Let's simplify this a bit. Let . Then . We can substitute the exponents:
Use the properties of exponents, we can write . We can do the same thing on the right. So:
We can now factor out a from the left and a on the right. This yields:
Evaluate the expressions within the parentheses:
Evaluate:
Now, let's multiply both sides by . So:
Also, let's divide both sides by . Multiply on the right:
Therefore:
We can now substitute back u. Notice that 27 is the same as 3 cubed and 1000 is the same as 10 cubed. So:
Since they have the same base, their exponents must be equal. Therefore:
Add 2 to both sides:
So, the value of x is 5.
And we're done!
Answer:
She gave her stylist a 24 dollar tip.
;p
Answer:
100:5
Step-by-step explanation:
Answer:
54 miles
Step-by-step explanation:
lets work in steps here:
1 in (24 miles) + 1 in (24 miles) = 2 in OR 48 miles
PLUS
**0.25 in (6 miles)
= 48+6 miles = 54 miles
** you know that 0.25=6 miles because 24/6 is 4. 100/4 is 0.25. simple division.