Answer:
Step-by-step explanation:
#7
A mathematical system includes axioms, postulates and theorems, defined and undefined terms.
<u>Correct choice is </u>
#8
We cannot define the undefined terms but we use term to define the others. As an example, we use point and line to define rays or segments.
<u>Correct choice is</u>
#9
Undefined terms are point, line and plane
<u>Correct choice is </u>
Answer:
30ft 2
Bc we first calculate the area of rectangle which is 6x4 which is 24 then we calculate area of triangle which is 6 then 6 + 24 = 30ft squared
To get the total number of games possible, we will use the combination formula.
Total number of games :

= 45
Total of 45 games in the whole tournament.
Meanwhile, if there would be boy-versus-boy, we will have

The answer is 10.
The fraction for boy-versus-boy game will be
10/45 or 2/9 when simplified.
Answer:

Step-by-step explanation:
step 1
Find the measure of angle C
Remember that the sum of the interior angles of a triangle must be equal to 180 degrees
so
A+B+C=180°
we have
A=57°
B=37°
substitute
57°+37°+C=180°
94°+C=180°
C=180°-94°=86°
step 2
Find the measure of side c
Applying the law of sines

substitute



Answer:
(I attach your complete question in the picture below)
The apparent frequency would be
f' = 493.26 Hz
Step-by-step explanation:
This a Doppler's effect problem. This effects produces a slight change in the frequency of a traveling wave, due to the effect of the velocity of the receiver (observer).
The formula used to describe the change, as both vehicles are moving away of each other:
f' = [ (Vwave + Vobserver) / (Vwave + Vsource ) ]*f
Where
Vwave = 340 m/s ( speed of sound)
Vobserver = 18.6 m/s (observer = car)
Vsource = 23.5 m/s (speed of the ambulance = source)
f = 500 Hz (frequency of the sound)
We just need to substitute in the equation
f' = [(340+ 18.6) / (340+ 23.5)] * 500 Hz
f' = [0.9865] * 500 Hz = 493.26 Hz
f' = 493.26 Hz