Answer:
44 ft
Step-by-step explanation:
We are given that;
Speed; v = 60 mph
Reaction time;t = 0.5 s
Now, we know that;
Distance = speed x time
Since time is in seconds, let's convert speed to mph to ft/s
From conversion,
1 mph = 1.46667 ft/s
So, 60 mph would give;
60 × 1.46667 ≈ 88 ft/s
Thus, distance his car travels during his reaction time is;
Distance = 88 × 0.5 = 44 ft
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16/10 as a mixed number is 1 6/10.
I got this answer by finding out how many times 10 goes into 16, evenly. I got 1, and put that as a whole number. 6 was leftover, so I put that for the numerator. Then, I kept the denominator same, which was 10.
1 6/10 simplified is 1 3/5.
I got this answer by finding out what number goes both into 10 and 6, evenly. The GCF, or Greatest Common Factor, was 2. I divided 6 by 2 and 10 by 2. I then got 3 and 5.
3 was the numerator, and 5 is the denominator.
Again, 16/10 in simplest form is 1 3/5.
Answer:
1 + cosa sina
Step-by-step explanation:
cos³a - sin³a ← is a difference of cubes and factors in general as
a³ - b³ = (a - b)(a² + ab + b²) , then
cos³a - sin³a
= (cosa - sina )(cos²a + cosa sina + sin²a)
= (cosa - sina)(1 + cosa sina) [ sin²a + cos²a = 1 ]
Then
= 
← cancel (cosa - sina) on numerator/ denominator
= 1 + cosa sina
6x-4y=-14
2(-3x-3y=12)
6x-4y=-14
-6x-6y=24
-10y=10
Divide both sides by 10
-1y=1 divide by -1
y=-1
6x-4(-1)=-14
6x+4=-14
-4 -4
6x=-18
Divide both sides by 6
x=-3
