#1. About 15.
5x3
#2. About 9
26/3=8 2/3
Answer:
-50
Step-by-step explanation:
1 - 2 + 3 - 4 + 5 - 6 + 7 - 8...99 - 100
just means,
1 - 2 = -1
3 - 4 = -1
5 - 6 = - 1
7 - 8 = - 1
99 - 100 = -1
basically, -1 + -1 + -1 + -1 + ....+ -1 or -1 - 1 - 1 - 1 - ... - 1
Treating Grandi's series as a divergent geometric series we may use the same algebraic methods that evaluate convergent geometric series to obtain a third value:
S = 1 − 1 − 1 + ..., so
1 − S = 1 − (1 − 1 − 1 ...) = 1 − 1 − 1 ... = S
1 - S = S
1 = 2*S
resulting in S = 1/2. The same conclusion results from calculating −S, subtracting the result from S, and solving 2S = 1
1/2 of the last term is 100 x 1/2 = 50
This because you are using 2 numbers per -1
example: 1 - 2 = -1 or 3 - 4 = -1 resulting in 50 of the -1 being subtracted
If Yoshi saves $5 dollars each week for 23 weeks he will have $115
On problems ii, and iii, you just count up the amount of sides on the polygon and add x behind it to create a type of an equation to find the perimeter of that shape that will work as longs as the sides are congruent to each other.
For problems a,b, and c, you just have to calculate what x is. On a, you find what the other side is if one side is 2 and the area is 24. On b you find what the other side could equal if one side is 4 and the area is 16. On c you know what the perimeter is (72) . The longer sides are 2x and the shorter sides are x. SO you divide by the #s and check your work!
Here's the key:
Any radius that's perpendicular to a chord, bisects the chord.
So the piece of a radius that's perpendicular to the chord bisects it,
and the part of the chord that forms a side of the triangle is also 6.5 .
The triangle is a right triangle, and its hypotenuse is a radius of the circle.
the diameter of the circle is 16, so the length of the radius is 8 .
So now you know the length of the hypotenuse and one leg of a right
triangle, and side 'x' is the other leg.
This is where Pythagoras comes in.
(hypotenuse)² = (one leg)² + (the other leg)²
(8)² = (6.5)² + x²
64 = 42.25 + x²
x² = 64 - 42.25
x² = √21.75
x = about 4.664... (looks like choice-A)
