Answer:
x=0
Step-by-step explanation:
If you combine like terms it is x^2 +6x -27=-27
x^2 +6x =0
x^2=0
x=0
Sqrt(8^2 + 3^2)
Y is 3,4
Z is -5,1
3-(-5) = 8 (difference between x coords)
4-1 = 3 (difference between y coords)
Equation is: sqrt( (xdiff)^2 + (ydiff)^2 )
Answer:
Height of flagpole = 571 ft
Step-by-step explanation:
Given:
Angle of elevation to the top of the flagpole is 55° .
Distance from the eyes to the base of flagpole = 400 ft.
To find the height of the flagpole.
Solution:
We can draw the situation as a right triangle as shown below.
In triangle ABC.

∠C= 55°
To find the length AB (height of the flagpole).
Applying trigonometric ratio :

Plugging in values.

Multiplying both sides by 400.


∴ 
Height of flagpole = 571 ft
Answer:
You would expect to get 50 heads
Step-by-step explanation:
Each time you flip a coin you will either get heads or tails. This means that you have a 1/2 probability of getting heads. If you use this then you need to multiply 1/2 and 100 to get the expected amount of heads. Multiplying by a half is just dividing by 2. Therefore, the answer is 100/2 = 50. The answer is 50 heads