An axiom in Euclidean geometry states that in space, there are <u>2</u> points that <u>lie on the same line</u>.
This is called the two-point postulate. According to Euclidean geometry, in space, there are at least two points, and through these points, there exists exactly one line. This means that there is only one single line that could pass between any two points. This is a mathematical truth. It is known as an axiom because an axiom refers to a principle that is accepted as a truth without the need for proof.
Answer:
a)50%,b)70%
Step-by-step explanation:
odd=5
10=100%
5
5×100=500/10
=50%
10=100%
(7×100)/10=70
Based on the problem Carl will complete...
1/6 of the job per minute.
Fred will complete 1/8 of the job per minute.
Together they will complete... 1/6+1/8 of the job per minute.
That would be 7/24.
How long will that take?
1/(7/24)=24/7=3 3/7
It will take 3 and 3/7 minutes to finish washing the car.
Answer:
13/1*7/4
Step-by-step explanation:
The way you get this is by using the Keep, Change, Flip Method. 13 as a fraction would be 13/1, and this is the keep phase. The change phase is where you change division to multiplication. The flip phase is when we flip the numerator and denominator. Remember, this only works when dividing fractions.
Answer:
Step-by-step explanation:
A triangle whose sides are 5-12-13 is a right angle triangle because the sides form a Pythagoras triple. This means that
Hypotenuse² = opposite side² + adjacent side²
If hypotenuse = 13,
Opposite side = 12, then we can determine one acute angle by applying the sine trigonometric ratio
Sin θ = opposite side/adjacent side
Sin θ = 12/13 = 0.923
θ = Sin^-1(0.923) = 67.4°
The other acute angle is
90 - 67.4 = 22.6°
For 9-12-15 triangle
Sin θ = 12/15 = 0.8
θ = Sin^-1(0.8) = 53.1°
The other acute angle is
90 - 53.1 = 36.9°
For 13- 14-15 triangle,
Sin θ = 14/15 = 0.933
θ = Sin^-1(0.933) = 68.9°
The other acute angle is
90 - 68.9 = 21.1°
Another example would be 3-4-5
Sin θ = 4/5 = 0.933
θ = Sin^-1(0.8) = 53.1°
The other acute angle is
90 - 53.1 = 36.9°
