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Step-by-step explanation:
Before we proceed, we must understand that we are dealing with a system of right angled triangles.
There are two types of right angle triangles';
45° - 45° - 90° 30° - 60° - 90°
In 45° - 45° - 90°, the adjacent is equal to the opposite
30° - 60° - 90°, there are three different sides
The longest side faces 90°, the shortest side will face the smallest angle and the intermediate will face 60°
A.
To find AB, use Pythagoras theorem;
AB² = AC² + BC²
AB² = 13² + 4²
AB² = 169 + 16 = 185
AB = √185 = 13.6
AB = 13.6
Angle A = 30°
Angle B = 60°
B.
AB² = BC² + AC²
The unknown is AC;
AC² = AB² - BC²
AC² = 5² - 4²
AC² = 9
AC = √9 = 3
Angle A = 60°
Angle B = 30°
C.
AB² = AC² + BC²
Insert the parameters and find AC;
AC² = AB² - BC²
AC² = 11² - 4.4²
AC² = 101.64
AC = √101.64
AC = 10.1
Angle A = 30°
Angle B = 60°
AC = 13
Maximum number of packets = 8
16 ÷ 8 = 2
There are 2 pencils in each packet.
24÷8 = 3
There are 3 erasers in each bag.
Rosy can have a maximum of 8 packets. Each packet has 2 pencils and 3 erasers.
The answer would be B.
For these, you plug in 8 where there ia a variable. 2(8)-1=15
