Let
x---------> <span>the measure of the angle opposite the leg that is 6 inches long
we know that
tan x=opposite side angle x/adjacent side angle x
</span>opposite side angle x------> 6 in
adjacent side angle x-------> 6√3 in
<span>so
tan x=6/(6</span>√3)-----> x=1/√3------> √3/3
<span>x=arc tan(</span>√3/3)------> x=30°
<span>
the answer is
30</span>°<span>
</span>
0.0239 x 28 = .6692 (this is the amount of tax paid)
shoes + tax = total
$28 + 0.6692 = $28.6692 which rounds to $28.67 (money is always rounded to the hundredths place)
Answer:
Choose f(x) = 11x + 1
Step-by-step explanation:
Note that we will simply plug the value of 2 into the equation for February:
f(2) = 11(2) + 1 = 23
And plug the value of 6 into the equation for June:
f(6) = 11(6) + 1 = 67
Note how the points on the graph seem to match up with these values. If we evaluate following the same style for each:
f(3) = 11(3) + 1 = 34
f(4) = 11(4) + 1 = 45
f(5) = 11(5) + 1 = 56
Note, these values seems to be very close in approximation to the graph points for each month.
The other three functions return values that are just to far away from what are represented in the graph.
Cheers.
Answer:
The prime factors are: 2 x 3 x 3 x 5 x 7
or also written as { 2, 3, 3, 5, 7 }
Written in exponential form: 2 x 3 × 3 x 5 ×1 x 7×1
Answer: The probablty is is 41221/26 or 0.00669%
Step-by-step explanation:
Drawing tiles from the bag at one time is mathematically equivalent to drawing one tile 4 times inculding the vowel, without replacement.
If we get one of these 4 letters on draw 1, then on draw 2, we'll have 3 possible successful draws out of the 25 tiles left.
This pattern continues down to draw 4. Since each draw is independent, we just multiply the probabilities together:
