Answer:
27.04 cm
Step-by-step explanation:
use pythagoras theorem since it's a right angle triangle
30^2 -13^2=731
third side = (731)^0.5
= 27.03701167
9514 1404 393
Answer:
B. -2/3
Step-by-step explanation:
Each small division on this number line is 1/3 unit. Point A is 2 small divisions left of 0, so corresponds to the value -2/3.
If you flip a coin one time, the probability to get a Head is
p = 1/2
The probability of not getting a head in a single toss is :
q = 1 - 1/2 = 1/2
Thus there is only one unique situation to get the same number of heads and tails : in 10 toss you need to get exactly five heads, it will means that the rest is the tails.
Now using Binomial theorem of probability, the probability of getting exactly x = 5 heads in a total of n = 10 tosses is :
P(X = 5) =
≈ 0.246
So the probability of that is 24,6 %
Good Luck
Answer: The short piece is approximately 7.5 feet
Step-by-step explanation: Since the 25 foot rope was cut into 2 pieces and the ratio is 5 to 12, that means the total amount would be 17. 25/17 rounded to the nearest tenths is 1.5. We then multiply 5 by 1.5 because 1.5 is the unit resulting in 7.5. This shows that the shorter piece is approximately 7.5 feet. Hope this helps
Answer:
The angles between the vertices y'P0 and y'Q0 must be equal
α=β
Step-by-step explanation:
To demonstrate that each point of segment AB is equidistant from the end points P and Q, it is enough to take any point of segment AB and determine the angle formed between this point and points P and Q
According to the graph the angles generated by the vertices y'P0 and y'Q0 must be equal, and these are determined by the sine, cosine or tangent, we will take for example the tangent
tgα=y'/P = 5/-6 ⇒ α=atg(5/-6) ≅ -39,80° ∧ tgβ=(5/6) ⇒ β=atg(5/6) ≅ 39,80°
The negative sign indicates that the tangent is negative in that quadrant (2nd)
, finally α=β