Answer:
The value of x is 4√2 and y is 2√6
I hope it 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.
The formula for the cost of the total sales is: 8a+5c where a is the number of adult tickets and c is the number of child tickers.
If he keeps 15% the formula is: 0.15(<span>8a+5c) </span>
Step-by-step explanation:
it would be 9+4=13+4=17 answer $17
Question is not complete and so I have attached the complete question.
Answer:
C: f(x) = -½x + 4
Step-by-step explanation:
Using slope formula between 2 points, we know that;
slope; m = (y2 - y1)/(x2 - x1)
Let's consider 2 points from the table;
(0, 4) and (-4, 6)
Thus;
m = (6 - 4)/(-4 - 0)
m = 2/-4
m = -½
Now using slope intercept form equation which is y - y1 = m(x - x1), we can find the equation of the function by picking on point say (0, 4).
Thus;
y - 4 = -½(x - 0)
y - 4 = -½x
y = -½x + 4
Thus;
f(x) = -½x + 4