Answer:
5
alternates
Step-by-step explanation:
The series is for k = 0 to 4, so k = 0, 1, 2, 3, 4.
That is 5 terms.
-1/2 is inside the parentheses and is raised to 0, 1, 2, 3, 4.
A negative number raised to an even integer is positive.
A negative number raised to an odd integer is negative.
The sign of each term in the series alternates.
M=3 because you divide 2.1 into 6.3 and i goes in to it 3 times
Answer:

Step-by-step explanation:
(Assuming the correct angles are 30° and 45°)
We can use the tangent relation of the angle of elevation to find two equations, then we can use these equations to find the height of the pole.
Let's call the initial distance of the boy to the pole 'x'.
Then, with an angle of elevation of 30°, the opposite side to this angle is the height of the pole (let's call this 'h') minus the height of the boy, and the adjacent side to the angle is the distance x:

Then, with an angle of elevation of 45°, the opposite side to this angle is still the height of the pole minus the height of the boy, and the adjacent side to the angle is the distance x minus 10:

So rewriting both equations using the tangents values, we have that:


From the first equation, we have that:

Using this value of x in the second equation, we have that:





Answer:
C
Step-by-step explanation:
-8 14 = 42 (He subtracted 14 from 42)
-8p = 28 (Which is how he got 28)
p = -3.5 (He took 28 divide by -8 which got him -3.5)
Step-by-step explanation:
x = 55
I hope this is helpful