x = 30°.
The triangle drawn inside the circle is an equilateral and equiangular triangle which means that its three sides and its internal angles (that measure 60°) are equal.
To find x°:
First, we can see from the image that the tangent line to circle with arrows is formed a right angle, the angle of one side of the equilateral triangle, and the angle formed with the other side of the equilateral triangle, this three angles has to form 180° respect to the tangent line:
90° + 60° + y° = 180°
y° = 180° + 150°
y° = 30°
Second, the line in the right side of the equilateral triangle form an angle of 180°, so:
60° + z° = 180°
z° = 180° - 60°
z° = 120°
Finally, the triangle formed by this lines its internal angles are x°, y°, and z° and its sum is 180°, then:
x° + y° + z° = 180°
x° + 30° + 120° = 180°
x° + 150° = 180°
x° = 180° - 150°
x° = 30°
Multiply 1.75 with 25 because you bought snacks everyday and then you’re left with 11.25
Now subtract .20 because you were left with that on day 26 and you get 11.05
Lastly you divide 11.05 with .85 to see how many snacks you bought
ANSWER IS 13 snacks
Answer:
Distance between the points Q and R is 1 unit while the distance between the points R and S is 3 units
Step-by-step explanation:
Here, we want to use the absolute value of the coordinates to find the distances.
Since we are using absolute values, the negative points becomes positive;
Thus;
Q = (4,2)
R = (3,2)
S = (3,5)
Mathematically, the distance between two points in the Cartesian plane can be calculated using the formula;
D = √(x2-x1)^2 + (y2-y1)^2
The distance QR is thus;
D = √(3-4)^2 + (2-2)^2
D = √(-1)^2 + 0
D = √1 = 1 unit
The distance RS is thus;
D = √(3-3)^2 + (5-2)^2
D = √(0) + (9)
D = √9 = 3 units
You will need this formula:
<span>
Years = {log(total) -log(Principal)} ÷ log(1 + rate)
</span>
Years = {log (8,000.00) - log (<span> 6,449.82 )} </span><span>÷ log (1.069)
</span>
<span>Years = (3.903089987 - 3.8095475946) / 0.028977705209
</span>
Years =
<span>
<span>
<span>
0.0935423924
</span>
</span>
</span>
/ <span>0.028977705209
</span>
Years =
<span>
<span>
<span>
3.2280814414
</span>
</span>
</span>
Which would be approximately 3 years 3 months
Source:
http://www.1728.org/compint2.htm
Step-by-step explanation:
By 30°-60°-90° triangle theorem: