Answer:
114.75 millas
Step-by-step explanation:
to find the distance we must calculate the length of the wheel and then multiply it by the number of times this turn
r=16 inches, 72,324 times, knowing the length of the circumference is
Long =D*Pi wiht D=2*radio=2*16, PI=3,1416 → Long = 2*3,1416*16=100,53 inches so Distance = 100.53inches*72,324 = 7,270,731.72inches, but 1 milla = 63360 or 1 inch =1,57828e-5 then distance = 7,270,731.72inches*1,57828e-5 millas/inches = 114.75 millas
Answer:
-9 is the largest integer with in [-12, -9]
Step-by-step explanation:
the list of numbers in that interval is -12, -11, -10, -9. out of those four numbers the largest is -9.
* using brackets [ ] means it includes the outside numbers given
ex. [-12, -9] is -12, -11, -10, -9
but using prenthesis ( ) does not include the outside numbers
ex. (-12, -9) is -11, -10
To solve this problem, all we need to do is just set up a proportion. The two shapes are similar, which means that they are the same shape, but different sizes. Using the wording/letter arrangement in the problem, we can figure out which side of one triangle corresponds to which side of the other triangle.
Triangle LMV (with segments LM, MV, and VL) is similar to triangle UTK (with segments UT, TK, and KU).
Corresponding pairs:
LM(x) : UT(39)
MV(30) : TK(65)
VL : KU
However, we need only be interested in the first two pairs. Here is the proportion with letters:
LM / UT = MV / TK
and as numbers:
x / 39 = 30 / 65
Solve for x:
x / 39 = 30 / 65
Cross multiply:
(x)(65) = (39)(30)
Simplify:
65x = 1170
Divide:
65x/65 = 1170 / 65
Simplify:
x = 18
<h2>Answer:</h2>
The length of side LM (x) in triangle LMV is 18 units.
<h3>
Answer: 90 mph</h3>
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Explanation:
Subtract the mile marker values to find the distance traveled. Think of it like markers on a number line. Though in reality the road is likely curved in many ways.
Going from marker 30 to marker 120 is a distance of 120-30 = 90 miles.
This happens in 5-4 = 1 hour, so,
speed = distance/time = 90/1 = 90 miles per hour