For rigt triangle with legs legnth a and b and hypotnuse legnth c
a^2+b^2=c^2
we are given
larger leg is 3 longer than smaller leg
hypotnuse is 6 longer than smaller
find smaller
ok so
first pick a smaller leg
lets say b is smaller
longer leg is 3 more than shorter leg
a is 3 more than b
a=3+b
and
hypontuse is 6 more than shorter
c=6+b
sub 3+b for a and 6+b for c in oroiginal equation'
a^2+b^2=c^2
(3+b)^2+b^2=(6+b)^2
9+6b+b^2+b^2=36+12b+b^2
2b^2+6b^2+9=b^2+12b+36
minus (b^2+12b+36) from both sides
b^2-6b-27=0
factor
(b-9)(b+3)=0
set equal to zero
b-9=0
b=9
b+3=0
b=-3
fasle, legnths cannot be negative
answer is shorter side=9 cm
Answer:
Choice B is correct
Step-by-step explanation:
The variable x represents the number of hours;
2, 4, 5, 7, 9
The least value is 2 while the maximum value is 9. The scale to be used must accommodate all these values. The scale can thus begin from 0 to 10. Choice A is incorrect since the values 7 and 9 will not be accommodated in the graph.
The y variable represents the number of pages read;
50, 100, 125, 175, 225
The least value is 50 while the maximum value is 225. The scale to be used must accommodate all these values. The scale can thus begin from 0 to 250. Both choices C and D are incorrect since none of the values will be accommodated in the graph.
Answer:
0 is the probability that Tim will select a card labeled with a number 6.
Step-by-step explanation:
We are given the following in the question:
Number of cards = 4
Cards with labels:
1,3,5,7
Tim will select one card from the box. We have to find the probability that Tim will select a card labeled with a number 6.
Formula:
0 is the probability that Tim will select a card labeled with a number 6. Thus, it is an impossible event.
You rearrange the equation getting x = 9 * 3 which equals 27. So x = 27
Or just do 9*3 to get 27.
Answer:
cos 60° = 1/2 because the angles are complements.
Step-by-step explanation:
