Answer: 17/50
Step-by-step explanation:
First, to add fractions, we must find a common denominator, in this case, 100.
Then, we must make the fractions being added all have the common denominator.
So, we must multiply 3/10 * 10/10, which equals 30/100
30/100 + 4/100
Then, just add across the numerator to get 34/100, which can be simplified to 17/50
Answer:
see explanation
Step-by-step explanation:
(a)
Sum the parts of the ratio , 1 + 2 + 3 = 6 parts
Divide sum of angles in a triangle by 6 to find the value of one part of the ratio.
180° ÷ 6 = 30° ← value of 1 part of the ratio
2 parts = 2 × 30° = 60°
3 parts = 3 × 30° = 90°
Since there is an angle of 90° then the triangle is right.
(b)
The shortest side is the side opposite the smallest angle of 30°
Using the sine ratio and the exact value
sin30° =
, then
sin30° =
=
=
( cross- multiply )
2 opp = 19 ( divide both sides by 2 )
opp = 9,5
Shortest side in the triangle is 9.5 cm
Arrange them in ascending order
3,4,6,7,10
Median = the term in the middle = 6