Answer:
We are given
We are also given and , which allows us to rewrite the equation as
(I substituted every "b" with "a" and every "c" with "9").
The solutions to this quadratic equation are -25 and 7. We discard -25 because a side with negative length would make no sense.
Tan (∠R) = 21/20
∠R = tan¯¹ (21/20) ~ 46.4°
Answer: oop
Step-by-step explanation:
Let X = smaller number
Let Y = larger number
Sum of numbers is 130 ==> X + Y = 130 ==> Y = 130 - X
4 times the smaller subtracted from the larger is 10 ==>
Y - 4*X = 10
Substitute the value for Y in to the 2nd equation
(130 - X) - 4*X = 10
130 - 5*X = 10
-5*X = -120
X = 24
Y = 130 - 24 = 106
Check: 24 + 106 = 130
106 - 4*24 = 106 - 96 = 10
Answer: 7 - 2n
Step-by-step explanation:
a1 = 5
a6 = -5 = a + (n - 1)d = a + (6 - 1)d
a + 5d = -5
Since a1 = 5
5 + 5d = -5
5d = -5 - 5
5d = -10
d = -10/5
d = -2
Therefore, the equation to calculate the nth term of this sequence will be:
= a + (n-1)d
= a + (n - 1)-2
= 5 -2n +2
= 7 - 2n
Step-by-step explanation:
We need to find an expression for 
.
We can solve it as follows.
We know that,
So,
or
Hence, this is the required solution.
