Answer:
6p(3q - 2).
Step-by-step explanation:
The GCF ( Greatest Common Factor) of 18pq and 12p is 6p.
So 18pq-12p = 6p(3q - 2).
Answer:
x = 3
Step-by-step explanation:
a triangle has 180 degrees in all
a square for an angle is 90 degrees
we can add them all together and get 180
90 + 45 + 8x + 21 = 180
combine like terms
156 + 8x = 180
subtract 156 to each side
8x = 24
then find x
x = 3
.27 repeating is 3/11
The standard notation for a repeating decimal is to put a bar over the repeating digits, that is, <span>0.27272727...=0.27 repeating
</span>
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
Answer:
A vector ⇒ answer D
Step-by-step explanation:
* Lets revise some definition to solve the problem
- <em>Speed = distance ÷ time</em>
∵ Distance has no direction
∴ Speed has no direction
∴ Speed is a scalar quantity ⇒ (magnitude only)
- <em>Velocity = displacement ÷ time</em>
∵ Displacement has direction
∴ Velocity has direction
∴ Velocity has magnitude and direction
∵ Any vector has magnitude and direction
∴ Velocity is a vector quantity
∵ Velocity describes both speed (magnitude) and direction
∴ Velocity is a vector