Answer:
7.48m (3s.f.)
Step-by-step explanation:
Let the missing side be x m.
Applying Pythagoras' Theorem,
x² +5²= 9²
x² +25= 81
x²= 81 -25 <em>(</em><em>-25</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
x²= 56


x= 7.48 (3 s.f.)
∴ The missing side is 7.48 m (3s.f.)
Answer: No solution
Step-by-step explanation:
1. Expand the brackets- 9-3x+5x=2x+4
2. Add common terms- 9+2x=2x+4
3. Subtract 2x from both sides- 9=4
4. Nine cannot equal four and therefore, there is no solution.
The first step is to determine how accurate your estimation needs to be. Then create the iniatial estimate.
Answer:
x = (180 - [71 + 9]) ÷ 2
Step-by-step explanation:
71 + 9 = 80
180 - 80 = 100°
100° ÷ 2 = 50°
8/5x = 1
or
1.6x = 1
Work:
Add 7/3x and 1/3x to make 8/3x. Equation: 8/3x = 1 + 5/3x
Divide 8/3x by 5/3x, looks like 8 over 3 times 3 over 5. 3s cancel each other out, leaving 8/5x. Equation: 8/5x = 1
If needed to be simplified, 8/5 = 1.6.