Answer:
<em>x = 10; y = 20</em>
Step-by-step explanation:
8x + y = 100 (alternate exterior angles are congruent)
4x + y = 60 (corresponding angles are congruent)
Subtract the second equation from the first equation.
4x = 40
x = 10
Substitute x = 10 in first equation and solve for y.
8(10) + y = 100
y = 20
Answer:
sometimes, if their average angle is over 45 degrees
never are 2 obtuse angles summing to 180 degrees
always. two 90 degree angles always sum to 180 which is a straight line
Answer:
Option D Both students could be correct. Because the numbers are given in the original sequence, it is possible to find a common difference and common ratio between the successive terms.
Step-by-step explanation:
A geometric sequence has a common ratio. Here, that ratio would be 11/-5.5 = -2 if the sequence is geometric. That ratio would mean the next two terms are ...
11 × -2 = -22
-22 × -2 = 44
__
An arithmetic sequence has a common difference. Here, that difference would be 11 -(-5.5) = 16.5 if the sequence is arithmetic. That difference would mean the next two terms are ...
11 +16.5 = 27.5
27.5 + 16.5 = 44
__
These descriptions match those offered by the students, so both could be correct.
Answer:
The height of the cone is 0.5
Step-by-step explanation:
The formula of a cone is:
V= 1/3 πr² h
where r = 4 inches
V = 8 cubic inches
Now plug the values in the formula:
8 = 1/3 * 3.14 *(4)^2 *h
8 = 1/3 * 3.14 * 16 *h
8 = 50.24/3 * h
Now shift the R.H.S to the L.H.S
8 * 3/50.24 =h
24/50.24 = h
0.477707 =h
Rounding off to the nearest tenths place
=0.48
=0.5
Thus the height of the cone is 0.5 ...
