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4 years ago

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a new play premieres on saturday, october 1, and 420 people attend. attendance then decreases by 30% each day. find the attendan

ce on tuesday , october 4

1 answer:

wolverine [178]4 years ago

3 0

Answer:

The attendance on tuesday, october 4, is of 144 people.

Step-by-step explanation:

The attendance after t days is given by the following equation:

$A(t) = A(0)(1-r)^{t}$

In which A(0) is the attendance on the first day and r is the daily decrease rate.

Premieres on saturday, october 1, and 420 people attend.

This means that $A(0) = 420$

Attendance then decreases by 30% each day.

This means that $r = 0.3$

So

$A(t) = A(0)(1-r)^{t}$

$A(t) = 420(1-0.3)^{t}$

$A(t) = 420(0.7)^{t}$

Find the attendance on tuesday , october 4

This is 4-1 = 3 days after saturday. So this is A(3).

$A(3) = 420(0.7)^{3} = 144$

The attendance on tuesday, october 4, is of 144 people.

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Step-by-step explanation:

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3 years ago

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AleksAgata [21]

Answer:

Part 1) $sin(B)=\frac{21}{29}$

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Step-by-step explanation:

<u><em>The complete question is</em></u>

Consider this right triangle. 21 29 20 Write the ratio equivalent to: Sin B - CscA- Cot B

The picture of the question in the attached figure

Part 1) Write the ratio equivalent to: Sin B

we know that

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substitute the values

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Part 2) Write the ratio equivalent to: Csc A

we know that

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substitute the values

$sin(A)=\frac{20}{29}$

therefore

$csc(A)=\frac{29}{20}$

Part 3) Write the ratio equivalent to: Cot A

we know that

In the right triangle ABC

$cot(A)=\frac{1}{tan(A)}$

$tan(A)=\frac{BC}{AC}$ -----> by TOA (opposite side divided by the adjacent side)

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OlgaM077 [116]

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Step-by-step explanation:

If two triangles are similar by SAS, then their corresponding angles are

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In the two triangles ABC and DBE:

∠ABC ≅ ∠DBE
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Then the two triangles are similar

From similarity:

∠BAC ≅ ∠BDE

∠BCA ≅ ∠BED

∴ The missing step is ∠BAC ≅ ∠BDE

The missing step in this proof is ∠BAC ≅ ∠BDE

Learn more:

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