Answer:
Step-by-step explanation:
Answer:
The result gives the equation: 9x = -7
solution: (-7/9, 4/3)
Step-by-step explanation:
6 x + 2y = − 2
and
3 x − 2y = − 5
add together
6x + 3x + 2y - 2y = -2 + -5
9x + 0 = -7
9x = -7
then x = -7/9
and y = -3x - 1:
y = -3*(-7/9) - 1
y = 7/3 - 1 = 4/3
solution: (-7/9, 4/3)
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6x+2y= -2 and 3x−2y =−5
6x + 3x + 2y - 2y = -2 + -5
The answer to the question should be option B
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:
5:21
Step-by-step explanation:
We know that currently (in the problem) it is 25 min before 4, or 3:35. When we add an hour to that (first part of the problem), we get 4:35. The way l like to continue from here is to take the second part (the 46 min) and just use part of it to round the hour off, and then add the other part to it.
From 4:35 to 5, we have 25 min
4.35 + 25 = 5
We subtract those 25 min from the 46 min, since we used them to round the hour off.
46 - 25 = 21
We have 21 min left, and now that the hour is rounded off, it's way easier to add minutes to it.
5 + .21 = 5.21.
So an hour and 46 min from 3:35 it will be 5:21. I hope this helps :)
