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3 years ago

10

A wall is 12 feet high on the building is 36 centimeters high on the model. Find the height on the model of a door that is 9 fee

t high on the bulding

1 answer:

geniusboy [140]3 years ago

6 0

The model hight for the door will be 27 centimeters

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Find the sum of a finite geometric sequence from n=1 to n=8, using the expression -2(3)^n-1

MissTica

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}
\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}
\end{cases}
\\\\\\
\sum\limits_{n=1}^{8}~-2(3)^{n-1}~~
\begin{cases}
n=8\\
a_1=-2\\
r=3
\end{cases}\implies S_8=-2\left( \cfrac{1-3^8}{1-3} \right)
\\\\\\
S_8=\underline{-2}\left( \cfrac{1-6561}{\underline{-2}} \right)\implies s_8=1-6561\implies S_8=-6560$

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3 years ago

An honest coin is flipped 4 times. Given that the coin landed heads up more than two, what is the probability that it landed hea

arsen [322]

Answer:

probability of getting four head consecutively is 0.2

Step-by-step explanation:

in an experiment coin is flipped 4 times.

given, coin landed heads up more than two times

outcomes of coin landed heads up more than two times =

SAMPLE SPACE : [ {HHHT}{HHTH}{HTHH}{THHH}{HHHH} ]

chance of getting 4 heads = 1 (HHHH)

Probability = $\dfrac{1}{5}$

hence the probability of getting four head consecutively is 0.2

5 0

3 years ago

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Q # ..19 anybody help me?

Goshia [24]

The equation of the line with slope m and passing through the point $(x_0,y_0)$ is

$y-y_0=m(x-x_0).$

Since m=6 and the coordinates of the point are (8,3), then the equation is

$y-3=6(x-8).$

Answer: correct choice is B.

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3 years ago

Which polygon appears to be regular? Figure A Figure B Figure C Figure D Figure A is a hexagon with varying lengths. Figure B is

Naya [18.7K]

Not A because regular means all sides are equal.
B has to be the answer because the others are not.
Not C because a right triangle is not regular, i.e. and equilateral triangle.
Not D because a rectangle has different side lengths.

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3 years ago

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Your bank offers free access to online banking, but they charge you $.02 for each online e-check you send. They charge you $.10

Artist 52 [7]

Answer: 17.28

Step-by-step explanation:

18*12 =216*.02=4.32

18*12=216*.10=21.6

21.6-4.32=17.28

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2 years ago