Answer: the height of the kite is 106.065 ft
Step-by-step explanation:
The length of the kite represents the hypotenuse of the right angle triangle. The height of the kite represents the opposite side of the right angle triangle.
To determine x, the height of the kite, we would apply the sine trigonometric ratio which is expressed as
Sin θ = opposite side/hypotenuse
Therefore,
Sin 45 = x/150
Cross multiplying, it becomes
x = 150Sin45 = 150 × 0.7071
x = 106.065 ft
Answer:
Step-by-step explanation:
4a² b³ * (9a⁴b² - 4a² + 3) = 4a²b³ * 9a⁴b² - 4a²b³*4a² + 4a²b³*3
= 36a²⁺⁴ b³⁺² -16a²⁺²b³ + 12a²b³
= 36a⁶b⁵ - 16a⁴b³ + 12a²b³
Answer:
The area of the rectangle is 42 units^2
Step-by-step explanation:
we know that
The area of rectangle is equal to
In this problem
AB=DC
BC=AD
see the attached figure with letters to better understand the problem
we have that
the formula to calculate the distance between two points is equal to
we have the points
<em>Find out the distance BC</em>
we have
substitute in the formula
<em>Find out the distance AB</em>
we have
substitute in the formula
<em>Find out the area</em>
we have
substitute
I'm gonna calculate by the area of pizza to see how much food you get for 10 and 20 dollars
A...area
r...radius
d...diameter
d1=12 r1=6
d2=18 r2=9
A1=r1^2×3.14
A1=6^2×3.14
A1=36×3.14
A1=113.04
A2=r2^2×3.13
A2=9^2×3.14
A2=81×3.14
A2=254.34
if you bought 2, 12 diameter pizzas for 20 dollars you would get 226.08 area od food,still less if you bought 1, 18 diameter pizza for 20 dollars. because 223.08 < 254.34