Answer:
4m/s²
Step-by-step explanation:
Given that:
Force F is directly proportional to acceleration a
F α a
F = ka
Where k is the constant of proportionality
36 = 6k
Solve for K
36 = 6k
k = 36/6
k = 6
If force = 24 ; acceleration =
24 = ka
k = 6
24 = 6a
a = 24/6
a = 4m/s²
So just remember tha tyou can do anything to an equation as long as you do it to both sides (except divide by 0) so
-7.12=-4.8+x
add 4.8 to both sides since -4.8+4.8=0 so it cancels
4.8-7.12=x
simplify
4.80-7.12=-2.32
-2.32=x
the naswer is C
Answer:
See below in bold.
Step-by-step explanation:
The angle below and to the right of 30 degrees = 90-30 = 60 degrees,.
< EAC + 5x + 6x = 180
But m < EAC = the angle found in first line so its 60 degrees.
S0 3x + 5x + 60 = 180
8x = 120
x = 15
So m < CAB = 75 degrees and m < BAH = 45 degrees.
Finally the m < on top left = 90 degrees.
Answer:
a) 25%
b) 50%
c) 87.5%
Step-by-step explanation:
There are
number of outcome in total.
a)First and last flips come up heads. There are 4 outcomes here. Probability of the event is 4/16 = 1/4, or 25%.
- HHHH
- HHTH
- HTHH
- HTTH
b) at least 2 Consecutive flips that is heads. There are 8 outcomes. Probability of event is 8/16 = 1/2, or 50%
- HHHH
- HHHT
- HHTH
- HHTT
- THHH
- THHT
- HTHH
- TTHH
c) At least 2 consecutive flips that are the same. There are 14 outcomes. Probability of 14/16 = 7/8, or 87.5%
- HHHH
- HHHT
- HHTH
- HHTT
- THHH
- THHT
- HTHH
- TTHH
- TTTT
- TTTH
- TTHT
- HTTT
- HTTH
- THTT
Answer: find the answer in the explanation.
Step-by-step explanation:
To use the Pythagorean theorem to prove if a triangle with the side lengths 7,14,28 is a right triangle, you will square 7 and add it to the square of 14. The square root of the sum will be equal to 28 if it is a right angle triangle. Otherwise, it is not.
(7^2 + 14^2) = 49 + 196
245
Find the square root of 245
Square root = 15.65
Since it is not 24, the triangle is not a right angle triangle.