Answer:
Part 5) The length of the ski lift is
Part 6) The height of the tree is 18.12 m
Step-by-step explanation:
Part 5)
Let
A -----> Beginning of the ski lift
B -----> Top of the mountain
C -----> Base of mountain
we have
----> by supplementary angles
Find the measure of angle B
Remember that the sum of the interior angles must be equal to 180 degrees
substitute
Applying the law of sines
substitute
Par 6)
see the attached figure with letters to better understand the problem
<u><em>Applying the law of sines in the right triangle BDC</em></u>
In the right triangle BDC 20 degrees is the complement of 70 degrees
-----> equation A
<u><em>Applying the law of sines in the right triangle ABC</em></u>
In the right triangle ABC 50 degrees is the complement of 40 degrees
-----> equation B
Equate equation A and equation B and solve for x
<u><em>Find the value of BC</em></u>
therefore
The height of the tree is 18.12 m
Answer:
The volume of the toy is
Step-by-step explanation:
step 1
Find the volume of the hemisphere
The volume of the hemisphere is given by the formula
In this problem, the wide of the toy is equal to the diameter of the hemisphere
so
----> the radius is half the diameter
substitute
step 2
Find the volume of the cone
The volume of the cone is given by
we know that
The radius of the cone is the same that the radius of the hemisphere
so
The height of the cone is equal to subtract the radius of the hemisphere from the height of the toy
substitute the given values
step 3
Find the volume of the toy
we know that
The volume of the toy, is equal to the volume of the cone plus the volume of the hemisphere.
so
assume
in this problem we have a vertical line
The equation of a vertical line is equal to the x-coordinate of the point that passes through it
so
in this case
the equation of the line is
x=-1
<h3>
Answer:</h3>
A) Quadrilateral
<h3>
Explanation:</h3>
Here the figure is not a rectangle and parallelogram as it does not have two parallel sides. The figure cannot be considered as a trapezoid as the shape does not have either one parallel side. All the sides are in its unique form. Though it has four sides so it can be considered as a Quadrilateral.
1) we have to subtract by the number 18p from each of your sides
Like: 10p + 5 - 18p
= 18p -3 -180
This gives us: -8p + 5 = -3
Nextly, we have to subtract by 5 on each of your sides
Like: -8p + 5 - 5
= -3 - 5
This gives us: -8p = -8
Now we have divide by the -8 on each of your sides:
Like: -8p ÷ -8
= -8 ÷ -8
Answer: p = 1
I hope it helped you:)