Answer:
64 feet
Step-by-step explanation:
To find the height of the kite we use sin trigonometric ratio.
Let the height of the kite from the ground be x feet.

Answer:
a.) 32 miles per gallon
divide by two to get one gallon
b.) She can go 32 miles on one gallon
use the info from part a
c.) 384 miles
multiply 32 by 12 to get 12 gallons
Answer:
1/6^3
Step-by-step explanation:
The applicable rules of exponents are ...
a^-b = 1/a^b
(a^b)(a^c) = a^(b+c)
__
Your expression can be simplified as follows:

_____
<em>Additional comment</em>
If you think of an exponent as signifying repeated multiplication, the rules of exponents may be easier to remember. The exponent tells you how many times the base is a factor in the product.
Consider multiplication:

Consider division:

This may help you see that a positive exponent in the denominator is equivalent to a negative exponent in the numerator (and vice versa).
Answer:
AB ≈ 7.08
Step-by-step explanation:
Cos θ = adjacent / hypotenuse
where θ = 20° , adjacent = 7 and hypotenuse = AB
cos 20 = 7 / AB
cos 20 × AB = 7
AB = 7/Cos 20
AB = 7 / 0.989
AB = 7.077
AB ≈ 7.08
Answer:
a) The location of the turning point is approximately
.
b) Roots are approximately
and
.
c) 
Step-by-step explanation:
a) The figure presents the graphic of a parabola, that is, a second order polynomial, with an absolute minimum (vertex). The turning point of the graphic, that is, the point in which behavior of the curve changes, is the vertex. Hence, the location of the turning point is approximately
b) According to the Quadratic Formula, second-order polynomials can have either two real roots or two conjugated complex roots. In this case, we have two real roots. A root corresponds with the point of the curve that passes through x-axis. In this case, roots are approximately
and
.
c)
is the function evaluated at
, that is, the value on y-axis associated with
. Lastly, we conclude that
.