It will hit the floor when h=0
-16t^2+14.8t+3.9=0
using the quadratic formula...
t=(-14.8±√468.64)/-32, since t>0
t ≈ 1.139 seconds
Answer: The first one, (Divide the second equation, 2x + 4y= 32, by 2.)
Step-by-step explanation:
Answer:
r = 33
s = 18
Step-by-step explanation:
Given expression is 
.
Multiply numerator and denominator with the conjugate of (4 - √3).
= 
= 
= 
= 
= 
Now compare this expression with 
r = 33
s = 18
m∠a = 56°, m∠b = 34°, m∠c = 56°
Solution:
<em>Sum of the adjacent angles in a straight line is 180°.</em>
⇒ m∠a + 124° = 180°
⇒ m∠a = 180° – 124°
⇒ m∠a = 56°
∠a and ∠c are vertically opposite angles.
Vertical angle theorem:
<em>If two lines are intersecting, then the vertically opposite angles are congruent.</em>
⇒ ∠a ≅ ∠c
⇒ m∠a = m∠c
⇒ m∠c = 56°
<em>Sum of the adjacent angles in a straight line is 180°.</em>
m∠b + 90° + m∠c = 180°
m∠b + 90° + 56° = 180°
m∠b + 146° = 180°
m∠b = 180° – 146°
m∠b = 34°
Hence m∠a = 56°, m∠b = 34°, m∠c = 56°.
Answer:
1) 30
2) 40
Step-by-step explanation:
1) Nick will have finished 30 assignments in 6 hours because he can complete 5 assignments per hour and 6*5= 30.
2) Nick will have finished 40 assignments in 8 hours because he can complete 5 assignments per hour and 8*5= 40.
hope this helps!!
