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3 years ago

Please answer this in two minutes

Mathematics

1 answer:

Fudgin [204]3 years ago

3 0

Answer:

R = 21.8° to the nearest tenth

Step-by-step explanation:

To find Angle R we use tan

tan ∅ = opposite / adjacent

From the question

The opposite is 2

The adjacent is 5

So we have

tan R = 2/5

R = tan-¹ 2/5

<h3>R = 21.8° to the nearest tenth</h3>

Hope this helps you

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, list the first five terms of each sequence, and identify them as arithmetic or geometric.

sveta [45]

Answer: -2, 2, 6, 10, 14

It is an Arithmetic sequence.

Step-by-step explanation:

Given Recursive formula : $A(n + 1) = A(n) + 4$ , for n ≥ 1 and A(1) = -2.

$A(2)=A(1 + 1) = A(1) + 4=-2+4=2$

$A(3)=A(2 + 1) = A(2) + 4=2+4=6$

$A(4)=A(3 + 1) = A(3) + 4=6+4=10$

$A(5)=A(4 + 1) = A(4) + 4=10+4=14$

Hence, the five terms of given sequence= -2, 2, 6, 10, 14

Since, there is common difference of 4 in two consecutive terms.

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3 years ago

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Lostsunrise [7]

1/3 is a rational number

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2 years ago

Scientists were studying a rare species of parrot. They went to a forest in the year

Brrunno [24]

Answer:

$P(t) = 608(1.5)^{t}$

Step-by-step explanation:

The number of parrots in t years after 2010 can be modeled by the following function:

$P(t) = P(0)(1+r)^{t}$

In which P(0) is the number of parrots in 2010 and r is the growth rate, as a decimal.

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This means that $P(0) = 608$

Then

$P(t) = 608(1+r)^{t}$

When the scientists went back 5 years later, they found 4617 parrots.

This means that $P(5) = 4617$

We use this to find 1 + r. So

$P(t) = 608(1+r)^{t}$

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$(1+r)^{5} = \frac{4617}{608}$

$1 + r = \sqrt[5]{\frac{4617}{608}}$

$1 + r = 1.5$

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