I'm guessing we have
S1 = 1000
S2 = 1000 + 500
S3 = 1000 + 500 + 250
S4 = 1000 + 500 + 250 + 125
S5 = 1000 + 500 + 250 + 125 + 62.5
Just adding that up, S5 is
Answer: 1937.5
Do they want you to use the geometric series formula? We'll check it that way.
We have first term a=1000 and common ratio r=1/2. In general
![S_n = \dfrac{a(1 - r^n)}{1-r}](https://tex.z-dn.net/?f=S_n%20%3D%20%5Cdfrac%7Ba%281%20-%20r%5En%29%7D%7B1-r%7D)
For us that's
S5 = (1000 (1 - (1/2)^5))/(1 - 1/2) = 2000(1 - 1/32)
= 2000(31)/32 = 62000/32 = 1937.5 √
Math works!
Answer:
Step-by-step explanation:
You would start at the 490 spot on the y axis. After that you would use Rise over run. Down 2 units and right three. Continue to do this until you reach the end of the graph, then go the opposite; up 2, left 3.
Answer:
the answer is B. i do a method called "Butterfly"
Step-by-step explanation:
Answer:
The correct option is;
BC = 4 cm and DE = 4 cm
Step-by-step explanation:
The given sides parameters are;
In ΔABC
AB = 3 cm
AC = 5 cm
In ΔDEF
CD = 3 cm
CE = 5 cm
We note that the point F on ΔDEF is the same as point C on ΔABC
For the two triangles to be congruent, the third side must be equal hence e have;
Where ∠B = ∠D = 90°
Hence, AC² = AB² + BC²
∴ BC = √(5² - 3²) = 4
Similarly,
CE² = CD² + DE²
∴ DE = √(5² - 3²) = 4
Hence the additional information needed to prove that ΔABC ≅ ΔDEF is BC = 4 cm and DE = 4 cm.
Find the area of the garden when x = 2 ft.(the width = 3xft)
3(2)=6 width = 6 feet
(length = 2xft)
2(2)= 4 length = 4feet