Answer:
time = 2.48 seconds
Step-by-step explanation:
Given data:
distance = 100 foot
Initial velocity = 0 <em>because it was held and being released.</em>
acceleration is gravitational force
<em>gravitational force in feet per second = 32.2 ft/s²</em>
<em>formula for distance is s = ut +(1/2)at² where s = distance , u = intial velocity , a = acceleration and t = time</em>
s = ut +(1/2)at²
100 = 0(t) + (1/2)(32.2)t²
100 = 16.2t²
100/16.2 = t²
therefore t = 2.484
t = 2.48 seconds (to 2 decimal places)
Answer:
I will be answering numbers 3), 4), and 6) (so that you get most of the concept and that you are able to solve the questions by yourself), and also 9).
Step-by-step explanation:
3)
-15/4b+5/6b
So, first find the common denominator of both fractions. 4 times 6 is 24. -15/4b= -90/24b. 5/6b=20/24b. -90/24b+20/24b=-70/24b=-35/24b=-1 11/24.
4)
60m-15(4-8m)+20
What we need to do first is remove the parentheses.
60m-(15*4-15*8m)+20
=60m-60-120m+20.
So, here, we add the numbers without 'm' and the numbers with 'm.' (Always include the sign in front of the number, like in the equation, we include -60 since that's the sign in front of 60.)
60m-60-120m+20
=-60+20=-40
60m-120m=-60m
=-60m-40
6)
9y-15y+12-6y
Like I said before on number 4, we do about the exact same thing (but there are no parentheses to remove, so we skip that step.)
9y-15y+12-6y
=9y-15y-6y
=-12y+12
9)
It is basically the same thing as we did in the previous problems, just in a different way of saying it.
12x+12x+2x+2x+x+9
=28x+9 yards
I believe the correct answer is D
Answer:
x = 6
Step-by-step explanation:
Since <F = <F, this shows that the triangles are similar. Therefore:
XZ/DF = XY/DE
12/8 = 9/X
Cross multiply
12X = 9*8
12X = 72
X = 72/12
X = 6
Hence the value of x is 6