<h3>
Answer: 54 degrees (third choice)</h3>
Explanation:
AB is a diameter of circle C. This leads to angle ACB being 180 degrees. By Thales Theorem (a special case of the inscribed angle theorem) we know that angle D is 90 degrees.
Therefore, triangle ADB is a right triangle. The acute angles (A and B) add to 90, and we can say they are complementary angles.
A+B = 90
36+B = 90
B = 90-36
B = 54 degrees
Answer:
P = 1/3
P = 0.333
Step-by-step explanation:
There are 6 marbles in the pack, two of them are yellow.
Hope this helps
Answer: 4.5 miles
Explanation:
When you draw the situation you find two triangles.
1) Triangle to the east of the helicopter
a) elevation angle from the high school to the helicopter = depression angle from the helicopter to the high school = 20°
b) hypotensue = distance between the high school and the helicopter
c) opposite-leg to angle 20° = heigth of the helicopter
d) adyacent leg to the angle 20° = horizontal distance between the high school and the helicopter = x
2) triangle to the west of the helicopter
a) elevation angle from elementary school to the helicopter = depression angle from helicopter to the elementary school = 62°
b) distance between the helicopter and the elementary school = hypotenuse
c) opposite-leg to angle 62° = height of the helicopter
d) adyacent-leg to angle 62° = horizontal distance between the elementary school and the helicopter = 5 - x
3) tangent ratios
a) triangle with the helicpoter and the high school
tan 20° = Height / x ⇒ height = x tan 20°
b) triangle with the helicopter and the elementary school
tan 62° = Height / (5 - x) ⇒ height = (5 - x) tan 62°
c) equal the height from both triangles:
x tan 20° = (5 - x) tan 62°
x tan 20° = 5 tan 62° - x tan 62°
x tan 20° + x tan 62° = 5 tan 62°
x (tan 20° + tan 62°) = 5 tan 62°
⇒ x = 5 tant 62° / ( tan 20° + tan 62°)
⇒ x = 4,19 miles
=> height = x tan 20° = 4,19 tan 20° = 1,525 miles
4) Calculate the hypotenuse of this triangle:
hipotenuese ² = x² + height ² = (4.19)² + (1.525)² = 19.88 miles²
hipotenuse = 4.46 miles
Rounded to the nearest tenth = 4.5 miles
That is the distance between the helicopter and the high school.
Answer:
Ans A). The graph is shown.
Ans B). 18.3333 C temperature when F is 65 temperature
Ans C). 32 F when the line crosses the horizontal axis
Ans D). Slope of line C=
is 
Step-by-step explanation:
Given equation is C=
Ans A).
For the table,
Take the four value of F as 32,41,50,59.
For F = 32.
The value of C is
C=
C=
C=0.
For F = 41.
The value of C is
C=
C=
C=05
For F = 50.
The value of C is
C=
C=
C=10
For F = 59.
The value of C is
C=
C=
C=15
<em>Note: The figure shows a graph of given equation with points.</em>
Ans B). Estimate temperature in C when the temperature in F is 65
For F = 65.
The value of C is
C=
C=
<em>C=18.333333.</em>
Ans C). At what temperature, graph lien cross the horizontal axis
When the line crosses the horizontal axis, C=0
Therefore,
C=
0=
0=
F=32 Temperature.
Ans D). Slope of the line C=
The slope of line is given by s= 
Take points from the table of answer A.
let (32,0) and (41,5) using for slope.
s=
s= 
s=
Slope of line C= is
