Answer:
many different triangles.
Step-by-step explanation:
The given information is the length of two sides of a triangle, these lengths are:
8ft and 11ft
So the third side can have different lengths (notice that we do not have any restriction in the angles neither)
Then the third side has a lot of different possible lengths, this means that we can make many different triangles with this information.
Remember that one of the criteria for congruent triangles is SSS, (side side side)
So if we know 3 sides, there is only one triangle that can be made with these sides, but if we only know two sides this is not the case.
Answer:
x < 11/4
Step-by-step explanation:
hope this is right!
Answer:
sin 25
Step-by-step explanation:
sin(A − B) = sinA cosB − cosA sinB
sin 155
sin( 180 -25)
A = 180 B = 25
sin180 cos25 − cos180 sin25
Sin 180 = 0
cos 180 = -1
0 - (-1) sin 25
sin 25
Answer:
The 8th term of the sequence is 896/2187.
Step-by-step explanation:
We want to find the 8th term of a geometric sequence whose common ratio is 2/3 and whose first term is 7.
We can write a direct formula. Recall that the direct formula of a geometric sequence is given by:
Where <em>a</em> is the initial term and <em>r</em> is the common ratio.
Substitute:
To find the 8th term, let <em>n</em> = 8. Substitute and evaluate:
In conclusion, the 8th term of the sequence is 896/2187.
Answer:
x is 11
Step-by-step explanation:
We know the slope (3/4) and a point (3,-4), so we can use point-slope form (y-y1=m(x-x1)
Substitute the numbers into the equation
y--4=3/4(x-3)
simplify
y+4=3/4(x-3)
do the distributive property
y+4=3/4x-9/4
subtract 4 from both sides
y=3/4x-25/4
this is the equation of the line.
Since it says that (x,2) is a point in the equation, we can substitute it into the equation
2=3/4x-25/4
add 25/4 to both sides
33/4=3/4x
multiply by 4/3
11=x
we can double check by plugging (11,2) into the equation of the line.
2=3/4(11)-25/4
2=33/4-25/4
2=2
it works! :)
Hope this helps!
