Answer:
18 seconds
Step-by-step explanation:
according to the question
-16t²+5184=0 (0 because when the height is 0 the ball will hit the ground)
-16t²=-5184
t²=-5184/-16
t²=324
t=√324
t=18
<span>2r ≤ 3(2r - 7)
</span><span>2r ≤ 6r - 21
</span><span>21 ≤ 6r - 2r
</span><span>21 ≤ 4r
</span><span>21/4 ≤ r
r</span>

21/4
r

5.25
Answer:
Probability of an Orange on the next toss
= (23/60) = 0.3833
Step-by-step explanation:
Orange: 46
Brown: 23
Green: 32
Yellow: 19
Probability of an Orange on the next toss
= n(orange colours obtained in the tosses) ÷ n(number of tosses)
n(orange colours in the tosses) = 46
Total number of tosses = 46 + 23 + 32 + 19
= 120.
Probability of an Orange on the next toss
= (46/120) = (23/60) = 0.3833
Hope this Helps!!!!
Answer:
Ф = 
Step-by-step explanation:
It is a bit difficult to input the work here, so I uploaded an image
- First we can use the trig identities to change sec²(Ф) to tan²(Ф) + 1
- Then we can combine like terms
- Then we can factor this as a polynomial function
- Then we can set each term equal to zero and solve for Ф
- The first term tan(Ф) - 2 = 0 has no solution because tan(Ф) ≠ -2 anywhere
- The second term tan(Ф) - 1 = 0 has two solutions of
and
so these are the solutions to the problem