The time taken by the stone to reach the ground is option A 5.27 seconds.
Given,
The function; y = -16t² + 444
y is the height in feet
t is the time in seconds
A stone from y height is dropped from the edge of a vertical cliff.
We have to find the time taken by the stone to reach the ground;
Here,
y = -16t² + 444
y = 0
Then,
0 = -16t² + 444
16t² = 444
t² = 444/16
t² = 27.75
t = √27.75
t = 5.27 seconds
That is,
The time taken by the stone to reach the ground is option A 5.27 seconds.
Learn more about time taken here;
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If there is a fraction with more then one of the same number repeated behind the decimal, it is a repeating decimal
Answer:
0.000973236=m
Step-by-step explanation:
Given the question as;
7:(411m) = 56 : 3.2
7/411m =56/3.2
7×3.2=56×411m
(7×32)/(560×411)=m
224/230160=m
0.000973236=m
checking the answer
7: (411 *0.000973236) = 56: 3.2
7: (0.4)= 56 : 3.2
7/0.4 =56/3.2
70/4=560/32
17.5 =17.5
Answer:
c. no real solutions
Step-by-step explanation:
because:
1. 10+6x=15+9x-3x
6x+10=15+9x-3x
2. 6x+10=15+9x-3x
6x+10=15+6x
3. 6x+10=15+6x
6x+10=6x+15
4. 6x+10=6x+15
6x+10-10=6x+15-10
5. 6x=6x+5
6. 6x=6x+5
6x-6x=6x+5-6x
Then you get:
0=5
remember, If you want to know if an equation has no equation:
the constants are the numbers alone with no variables. If the coefficients are the same on both sides then the sides will not equal, therefore no solutions will occur. Use distributive property on the right side first.
I hope this helps :)
Answer:
48 minutes
Step-by-step explanation:
Given that:
Time taken by Janet = 3 hours
Janet's rate = 1/3 job / hour
Time taken by Garry = 2 hours
Garry's rate = 1/2
Rate of working together :
1/3 + 1/2 = (2 + 3) /6 = 5/6 job/hour
If Janet works for one hour before Garry joins ;
1/3 of the job has been done by Janet
1 - 1/3 = 2/3 of the job left
Hence to finish the job together, it will take :
Fraction of JOB left ÷ rate of working together
(2/3 ÷ 5/6)
= 2 /3 * 6/5
= 12 / 15
= 4 / 5 hours
To minutes
(4/5) * 60
= 240/5
= 48 minutes