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marshall27 [118]
3 years ago
5

Please help how to solve

Mathematics
1 answer:
tatiyna3 years ago
7 0

Answer:

=  > in \: the \: bigger \: triangle \\ height = 14 \: ft \\ base = 22.5 \: ft \\  =  > in \: smaller \: triangle \\ height = x \: ft \\ base = 9 \: ft \\ using \: ratios \\  \frac{bigger \: height}{smaller \: height}  =  \frac{bigger \: base}{smaller \: base}  \\  \frac{14}{x}  =  \frac{22.5}{9}  \\  \frac{14}{x}  = 2.5 \\ x =  \frac{14}{2.5}  \\ x = 5.6 \: ft

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Landen spent LL hours at the beach last weekend. Matéo spent 15\%15% fewer hours at the beach than Landen did.
horrorfan [7]

Answer: B, D, and E

0.85L

or

L-0.15L

or

L(1-0.15)

or

L - \frac{15}{100}L

L - \frac{3}{20}L

Step-by-step explanation:

L is the number of hours Landen spent at the beach. Mateo spent 15% less time. This means he spent 85% of it. So 0.85 times L. We can also calculate it by subtracting the difference between the two kids. - 15%. 15% is 0.15L or \frac{15}{100}L. We subtract by L-0.15L or as L - \frac{15}{100}L. This fraction can simplify to L - \frac{3}{20}L

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Woo-Jin and Kiran were asked to find an explicit formula for the sequence 64\,,\,16\,,\,4\,,\,1,...64,16,4,1,...64, comma, 16, c
olya-2409 [2.1K]

Answer:

f(n)=64(\frac{1}{4})^{n-1}

Step-by-step explanation:

The given sequence is

64, 16, 4, 1

r_1=\dfrac{a_2}{a_1}=\dfrac{16}{64}=\dfrac{1}{4}

r_2=\dfrac{a_3}{a_2}=\dfrac{4}{16}=\dfrac{1}{4}

r_3=\dfrac{a_4}{a_3}=\dfrac{1}{4}

It is a geometric series because it has a common ratio r_1=r_2=r_3=\dfrac{1}{4}.

First term is 64.

The explicit formula of a geometric series is

f(n)=ar^{n-1}

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Substitute a=64 and r=1/4 in the above function.

f(n)=64(\frac{1}{4})^{n-1}

Therefore, the required explicit formula is f(n)=64(\frac{1}{4})^{n-1}.

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Answer:

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