Answer:
t=0.64
Step-by-step explanation:
h = -16t^2 +4t +4
We want h =0 since it is hitting the ground
0 = -16t^2 +4t +4
Using the quadratic formula
a = -16 b = 4 c=4
-b ± sqrt( b^2 -4ac)
----------------------------
2a
-4 ± sqrt( 4^2 -4(-16)4)
----------------------------
2(-16)
-4 ± sqrt( 16+ 256)
----------------------------
-32
-4 ± sqrt( 272)
----------------------------
-32
-4 ± sqrt( 16*17)
----------------------------
-32
-4 ± sqrt( 16) sqrt(17)
----------------------------
-32
-4 ± 4 sqrt(17)
----------------------------
-32
Divide by -4
1 ± sqrt(17)
----------------------------
8
To the nearest hundredth
t=-0.39
t=0.64
Since time cannot be negative
t=0.64
Answer:
x=20
Step-by-step explanation:
2x-25=15
2x=40
x=20
Answer:
x=24
y=36
Step-by-step explanation:
x=smaller number
y=larger number
x+12=y x/2=y/3
x/2=(x+12)/3
cross multiply and distribute
3x=2x+24
x=24
24+12=y
y=36
Answer:
85° and 95°
Step-by-step explanation:
Given that , x and x + 10 are a pair of angles .
- If they will be pair of angles on the same line , then their sum will be 180° .
=> x + x + 10° = 180°
=> 2x = 180° -10°
=> 2x = 170°
=> x = 170°/2
=> x = 85° .
<h3><u>Hence </u><u>the </u><u>two </u><u>angles</u><u> </u><u>are </u><u>8</u><u>5</u><u>°</u><u> </u><u>and </u><u>9</u><u>5</u><u>°</u><u> </u><u>.</u></h3>
Letter D
1-sin^2(x) = cos^2(x)
= sin^2(x)/cos^2(x)
= tan^2(x)
