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
Let's say that x is the number of days he tweets. Now, if he tweets any number of days, we can represent all of that with just x. So out expression will look like:

Hope this helps!
Y=mx+b
y=-2/12x-8
Simplify:
y=-1/6x-8
Slope intercept is really easy. m is the slope. All you have to do is find 2 points and use rise/run. Rise is how many up or downs (numerator). Run is left or right (denominator). We are given 2 points in the graph. So I counted, 2 down, 12 left. So 2/12. Now remember if the line is going down from left to right, it’s a negative slope. So -2/12. To find the y intercept, just find where the line meets at the y intercept, here it’s -8. So y=-2/12x-8. y=-1/6x-8
Step-by-step explanation:
Area of triangle (A1)
= 1/2 * b *h
= 1/2 * 1 * 1
= 1/2 ft
Area of rectangle (A2)
= L * b
= 3 *1
= 3 ft
Total area
= A1 + A2
= 1/2 + 3
= (1 + 6 ) / 2
= 7/2 ft²
= 3.5 ft²
Hope it will help :)
Answer:
2 or 8
Step-by-step explanation:
If the radius of the circle is 4 cm, the diameter of the circle is 4 cm x 2, or 8 cm. If you have the circumference of the circle, divide it by pi or π to get the diameter.