Answer:
4
Step-by-step explanation:
2+2 is 4
Answer:
90/91
Step-by-step explanation:
as in the attachment
Answer:
4√6
Step-by-step explanation:
The line marked x meets the base of the isosceles triangle at its midpoint, so dividing the triangle into two congruent right triangles with leg 5 and hypotenuse 11.
The Pythagorean theorem can be used to find x:
5² + x² = 11²
x² = 121 -25 . . . . . . subtract 25 from both sides of the equation
x = √96 . . . . . . . . . take the square root
x = 4√6 . . . . . . . . . simplify the radical
Answer:
an = 115 + (n - 1) (-6)
a25 = - 29
Step-by-step explanation:
We use the definition for the nth term of an arithmetic sequence:
an = a1 + (n - 1) d
a5 = 91 = a1 + (5 - 1) d
91 = a1 + 4 d
a20 = 1 = a1 + (20 - 1) d = a1 + 19 d
1 = a1 + 19 d
now we subtract term by term one expression from the other
90 = 4 d - 19 d
90 = - 15 d
divide both sides by -15 to isolate d
d = 90 / (-15) = -6
Now we can calculate what a1 is using for example:
1 = a1 + 19 d
1 = a1 - 114
add 114 to both sides:
115 = a1
Then our general expression for the sequence is:
an = 115 + (n - 1) (-6)
We can now use it to calculate the value of a25:
a25 = 115 + (24) * (-6) = -29
