Answer:
16 cm
Step-by-step explanation:
The length of the hypotenuse of a 45°-45°-90° triangle is 16 cm.
Answer:
Theoretical probability of spinning an odd number = 0.5
Step-by-step explanation:
Theoretical probability of spinning an odd number is given as
(Number of odd numbers in the sample space)/(total number of numbers in the sample space)
Number of odd numbers in the sample space = 3
Total number of numbers in the sample space = 6
probability of landing on an odd number = (3/6) = 0.5
Theoretical probability of spinning an odd number = 0.5
Hope this Helps!!!
This is the concept of arithmetic:
fraction of:
Protein+healthy fats=1/2
carbohydrates=2/3×1/2=1/3
sugary treats=1-(1/3+1/2)= 1/6
thus the percentage of sugary treats in the current diet will be:
(fraction of sugary treats)×(percentage of the diet)
=1/6×10
=10/6
=1 2/3 %
1 step. Let ABC be a triangle with vertices
Define segments BD and CE as medians of triangle ABC.
2 step. Write linear equation for medians BD and CE:
- median BD passes through points B and the midpoint D of AC, then The equation of BD is
- median CE passes through the points C and the midpoint E of AB, then The equation of CE is
3 step. Solve the system of equations:
4 step. Write an equation for AO, where O is the point of intersection BD and CE.
5 step. Write an expression for the midpoint of BC, point F:
6 step. Check that coordinates of point F satisfy the equation of AO (then f lies on AO and AO is the third median, that means that all three medians intersect in one point).
Simplify it and get 1=1. This means that point F lies on AO.