The amount that it rises each minute forms a geometric sequence...

a(n)=ar^(n-1), and we know that a=100 ft and r=1/2 so

a(n)=100(1/2)^(n-1)

And the sum of a geometric sequence is:

s(n)=a(1-r^n)/(1-r)

s(n)=100(1-0.5^n)/(1-0.5)

s(n)=200(1-0.5^n)

So we can call these sums the height function

h(t)=200(1-0.5^t)

So after 5 minutes...

h(5)=200(1-0.5^5)

h(5)=193.75 ft

8 0

3 years ago

Kyra was building a bed for her dollhouse. She used her bed, which is 4 feet × 5 feet, as a guide. She scaled down the dimension

Crank

The dimensions would have to be 20 x 5 as the model holds the same amount for each side, and because 5 is larger than 4 its used as the models stand.
Hope it helps! :)

5 0

3 years ago

HELP!!! 15 points. picture below

vlada-n [284]

Step-by-step explanation:

$\sin( \alpha ) = \frac{ \sqrt{5} }{3} \\ \alpha = 48.19 \: degrees \\ \cos( \alpha ) = \frac{2}{3}$

7 0

3 years ago

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