The correct answer is C) 12
Euler's formula states that the number of vertices subtracted by the number of edges and added to the number of faces of a polyhedron always equals 2:
V - E + F = 2
We have 24 edges and 14 faces:
V - 24 + 14 = 2
Combining like terms,
V - 10 = 2
Add 10 to both sides:
V - 10 + 10 = 2 + 10
V = 12
Answer:
(x - 6)(x + 5)
the answer is a
Step-by-step explanation:
Answer:
3.The angle is 24°
4.120°
Step-by-step explanation:
There are 360° in a complete revolution thus for 15 equally space spokes, the angle between every spoke is given by 360° ÷ 15 =24°
In a clock, a complete revolution yields 360°. For a 20 minutes turn, the minute hand will cover (360° ÷ 12) × 4 =120°
Answer:
Oxygen; 34.01°C
Step-by-step explanation:
The oxygen freezes first as it has a higher (warmer) freezing point. For both to freeze, the temperature must drop a further 34.01°C as:
-218.79 - (-252.8)
= 252.8 - 218.79
= 34.01
Answer:659.64 feet
Step-by-step explanation:
We are given that a cell phone tower is anchored by two cables on each side for support. The cables stretch from the top of the tower to the ground, with each being equidistant from the base of the tower so first of all we have to draw a diagram for this scenario as shown below figure 1
Next we are given that angle of depression from the top of the tower to the point in which the cable reaches the ground is 23 degrees as shown in figure 2
So from here we can conclude that as tower is 140 feet tall and the base angle between cable and ground would be also 23 degrees
so we just the trigonometric identity to find x
tan(theta) = opposite over hypotenuse
we know the angle theta = 23
opposite = 140 ( height of tower)
and base is the distance on one side of tower
so finally tan 23 = 140/x (tan = opposite over adjacent)
doing cross multiplication we get
x = 140 / tan 23
x = 329.82(rounded to hundredth)
so total ground distance between the cables = 2x = 2(329.82) = 659.64 feet