Answer:
The measure of the third angle is 92°
Step-by-step explanation:
We first have to make an equation that represents this equality. To do it we simply have to add the values that give us with x and this will result in 180 °
15° + 73° + x = 180°
once we have the equation what we have to do is solve x, so we will pass all the terms that are adding to x by subtracting 180
x = 180° - 73° - 15°
now that we have cleared the x we only have to perform the indicated operation and we will obtain the value of x
x = 92°
The measure of the third angle is 92°
Answer:
C
Step-by-step explanation:
ratio of pigs to chickens = 4/28, which simplifies to 1/12
ratio of goats to chickens = 12/28, which simplifies to 3/7
ratio of cows to goats = 8/12, which simplifies to 2/3
ratio of pigs to cows = 4/8, which simplifies to 1/2
since 2/3 is the largest, the answer is C
Answer:
Tn = 2Tn-1 - Tn-2
Step-by-step explanation:
Before we can generate the recursive sequence, we need to find the nth term of the given sequence.
nth term of an AP is given as:
Tn = a+(n-1)d
If a17 = -40
T17 = a+(17-1)d = -40
a+16d = -40 ...(1)
If a28 = -73
T28 = a+(28-1)d = -73
a+27d = -73 ...(2)
Solving both equations simultaneously using elimination method.
Subtracting 1 from 2 we have:
27d - 16d = -73-(-40)
11d = -73+40
11d = -33
d = -3
Substituting d = -3 into 1
a+16(-3) = -40
a - 48 = -40
a = -40+48
a = 8
Given a = 8, d = -3, the nth term of the sequence will be
Tn = 8+(n-1) (-3)
Tn = 8+(-3n+3)
Tn = 8-3n+3
Tn = 11-3n
Given Tn = 11-3n and d = -3
Tn-1 = Tn - d... (3)
Tn-1 = 11-3n +3
Tn-1 = 14-3n
Tn-2 = Tn-2d...(4)
Tn-2 = 11-3n-2(-3)
Tn-2 = 11-3n+6
Tn-2 = 17-3n
From 3, d = Tn - Tn-1
From 4, d = (Tn - Tn-2)/2
Equating both common difference
(Tn - Tn-2)/2 = Tn - Tn-1
Tn - Tn-2 = 2(Tn - Tn-1)
Tn - Tn-2 = 2Tn-2Tn-1
2Tn-Tn = 2Tn-1 - Tn-2
Tn = 2Tn-1 - Tn-2
The recursive formula will be
Tn = 2Tn-1 - Tn-2
Answer:
The answer is 358.01
Step-by-step explanation:
Given:
Now, to solve first we crack the power notation then multiply and then do the addition:
(The value of 
is 10 and the value of 
is 1.)
.
Therefore, the answer is 358.01 .
First, rewrite the equation in standard form.
The center-radius form of the circle equation<span> is in the format:
(x – h)^</span>2<span> + (y – k)^</span>2<span> = r^</span>2
<span>with the center being at the </span>point<span> (h, k) and the radius being "r".
</span>
(x-3)^2 + (y+4)^2 = 81
From here, you can determine the center and radius. The center is at (3,-4) and the radius is 9.
