Answer:
smaller number = 3 5/24
larger number = 6 13/24
Step-by-step explanation:
let the larger number = x
smaller number = y
x - y = 3 1/3 equation 1
2(x +y) = 191/2 equation 2
divide equation 2 through by 2
x + y = 9 3/4 equation 3
subtract equation 1 from 3
2y = 6 5/12
y = 77/12 x 1/2 = 3 5/24
substitute for y in equation 1
x - 3 5/24 = 31/3
x = 3 1/3 + 3 5/24
x = 6 13/24
<u>Answer:</u>
<u>Step-by-step explanation:</u>
<u>Let's find 'a' using Pythagoras theorem.</u>
- => 4² = 2² + a²
- => 16 = 4 + a²
- => 12 = a²
- => a = √12
- => a = √2 x 2 x 3
- => a = 2√3
- => a = 2 x √3
- => a = 2 x 1.732
- => a = 3.464 = 3.5 (Estimated)
Hoped this helped.

Answer 19:1
Work:
Students scoring above 80 -
9+18+72+15= 114
Students score exactly 80-
6
114/6 = 19
19 students scored above 80 for every 1 student that scored exactly 80.
Step-by-step explanation:
Sum of interior angles of a polygon is given by (n-2)180°
where,n is the number of sides.
Since this polygon has 5sides,
sum of the interior angles = (5-2)180°=540°
x+150°+120°+75°+60°=540°
x°=540°-405° = 135°