Part A)<span>In a 45-45-90 triangle, what is the length of the hypotenuse when the length of one of the legs is 11 in.?
we know that
</span>cos 45°=√2/2
[he length of the hypotenuse]=11/cos 45-----------> 11/(√2/2)----> (11*2)/√2
=22/√2-------> 11√2 in
the answer Part A) is 11√2 in
Part B) <span>What is the exact value of sin 45° ?
</span>
we know that
sin 45°=11/(11√2)-------> 1/√2---------> (1/√2)*(√2/√2)-----> √2/2
the answer part b) is √2/2
Part C)
<span>What is the area of a regular hexagon with a side length of 4 m?
we know that
</span>In case of a regular hexagon <span> each of the six triangles that are formed by connecting its center with all six vertices is an equilateral triangle with a side equaled to 4 m.
The area of this hexagon is six times greater than the area of such a triangle
</span>
In an equilateral triangle with a side d<span>
the altitude </span>h can be calculate from the Pythagorean Theorem as
h²=d²−(d/2)²=(3/4)d²
<span>Therefore,
</span><span>h=d<span>√3/2
</span></span><span>Area of such a triangle is
</span>A=d*h/2------------> d²*√3/4
From this the area of the regular hexagon with a side d<span> is
</span>S=6*A----------> d²3√3/2
for d=4 m
S=4²3√3/2------> 24√3 m²------------> 41.57 m²
the answer Part C) is 41.57 m²
Part D) <span>In a 30-60-90 triangle, what is the length of the hypotenuse when the shorter leg is 5 cm?
</span>[he length of the hypotenuse]=5/sin 30--------> 5/(1/2)---------> 10 cm
the answer part D) is 10 cm
Subtract 52 and 38
the answer is the difference between 52 and 38
As the focus is at (0,5) it will be symmetrical about the y axis and will open upwards
General formula is x^2 = 4ay where a is the y coordinate of the focus
So its y = x^2/5*4
y = 1/20 x^2
Answer:
113.04 (6 + g) / 32
Step-by-step explanation:
We know that the total area of a cone is:
A = Pi * r * (r + g), let g be the generatrix.
The radius is half the diameter, therefore, 12/2 = 6 feet.
Replacing:
A = 3.14 * (6) * (6 + g) = 113.04 (6 + g) square feet.
To know the total number of tiles package, we must divide the area of the cone by the area occupied by a package. So:
113.04 (6 + g) / 32
The problem statement does not have a height or the value of the generatrix therefore it is not possible to calculate the number of packages.
Answer:
z+z
Step-by-step explanation:
