Answer:
30 units
Step-by-step explanation:
In order to find the length of the 3rd side of the triangle, the hypotenuse, you can use the Pythagorean Theorem. Using this method, you get 5^2+12^2=169. The square root of 169 is 13.
5 + 12 + 13 = 30 units.
Answer:
a. See attachments
B. 163630.2ft
C. 147056.70ft
D. 49205.4ft
Step-by-step explanation:
Check attachments for details
Angle a.. Angle of dep to beginning of runway
Angle b... Angle of del to end of runway
AD... Altitude of plane
DB..... Ground distance before touch down
AC... Air distance travelled until touch down on the near end of runway
If you expand out the brackets you get this,
(4+5i)(a+2i) = 4a + (5a)i + 8i - 10
The -10 comes from 5i * 2i.
Squaring i becomes -1.
Let's group the real stuff together,
and imaginary separately,
(4a - 10) + (5a + 8)i
For this to be purely imaginary,
the real part needs to be zero.
Therefore 4a - 10 = 0
Solve for a.
Answer:
y = 2x + 2.5
Step-by-step explanation:
To begin, we start with the equation 2y - 4x = 5.
We will add 4x to both sides to move the x term to the right side of the equation, giving us:
2y - 4x + 4x = 4x + 5
2y = 4x + 5
Next, we should divide by 2 to cancel out the coefficient on the y-term and isolate it on the left side of the equation:
2y/2 = 4x/2 + 5/2
y = 2x + 5/2
Therefore, your answer is y = 2x + 5/2 or y = 2x + 2.5.
Hope this helps!