Step-by-step explanation:
> find the angle of center circle:
cos~¹ 5/(5+12) = cos~¹ 5/17 = 72°
so the sector area of the shaded
region =
(360-72)/360 × 3.14 × 5²
= 288/360 × 78.5
= 62.8
> the height of triangle (red Line) =
4×tan 72° = 4× 3.078 = 12.31
the height of pyramid (green
Line) = √12.31²-8.5² =√74.16
= 8.61
so the volume of pyramid =
⅓×(17×8)×8.61 = 390.32
Answer:
0.05 AU corresponds to the 0.0769 Inches(<em>This calculation is not possible in real time world)</em>
Step-by-step explanation:
Given:
0.65 corresponds to 1 inch
To Find:
0.05 AU corresponds to how many inches.
Solution:
<em>The AU is astronomical unit which is preferred as the mean distance between earth and sun.</em>
<em>AU is too big unit and used in space distance calculation.</em>
But here for mathematical calculation,
0.65 AU corresponds to 1 inch
then 0.05 AU corresponds to x inch(es)
Now cross multiplying the quantities we get ,
0.65x=0.05*1
x=0.05/0.65
x=0.0769 inches corresponds to 0.05 AU
(Preferred for this example only)
<em>(Remember that this calculation is hypothetical and practically incorrect to use it).</em>
<em />
Answer:
7.3 ft
Step-by-step explanation:
The information given represents a right angle triangle with the following:
reference angle = 52°
Adjacent side length = 5.7 ft.
Opposite side length = height of the statue = h
Applying the trigonometric ratio formula, we would have:
Multiply both sides by 5.7
(nearest tenth)
Answer:
Given the graph 
and 
We have to find the value of k;
Since, g(x) = f(x) +k
Subtract 
from both sides we get;
Add 2 to both sides we get;
Simplify:
or
k = 5
Therefore, the value of k = 5
Answer..
Step-by-step explanation:
