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3 years ago

Write an explicit formula for an, the nth term of the sequence 21, 27, 33, ....

Mathematics

1 answer:

anygoal [31]3 years ago

6 0

Answer:

Step-by-step explanation:

Remark

This is an arithmetic series. Each term differs by 6 from the previous one.

Givens

a1 = 21

d = 6

Formula

a_n = a1 + (n - 1)*d

Sample

Try it.

Let's let n = 3 which we have the answer for.

a_3 = 21 + (3-1)*6

a_3 = 21 + 2 * 6

a_3 = 21 + 12

a_3 = 33

That's exactly what the 3rd term is.

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Answer: B; 85

Step-by-step explanation

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3 years ago

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lys-0071 [83]

T= 250 + 45a.

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3 years ago

HELP i can’t figure this out

Agata [3.3K]

Answer:

m∠B = 66.3°

a = 0.0319

b = 0.0726

Step-by-step explanation:

Sum of the interior angles of a triangle = 180°

⇒ m∠A + m∠B + m∠C = 180°

⇒ 23.7 + m∠B + 90 = 180

⇒ m∠B = 180 - 90 - 23.7 = 66.3°

We can use the sine rule to help solve the missing side lengths.

Sine rule

$\dfrac{a}{sin(A)}=\dfrac{b}{sin(B)}=\dfrac{c}{sin(C)}$

where A, B and C are the angles and a, b and c are the side lengths opposite the angles.

Therefore,

$\dfrac{a}{sin(23.7)}=\dfrac{b}{sin(66.3)}=\dfrac{0.0793}{sin(90)}$

$\implies a=\dfrac{0.0793}{sin(90)}\times sin(23.7)=0.031874458...=0.0319$

$\implies b=\dfrac{0.0793}{sin(90)} \times sin(66.3)=0.072612043...=0.0726$

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3 years ago

Points A and B are two of the vertices of a right triangle. They are the endpoints of the hypotenuse AB¯¯¯¯¯ of the triangle. Th

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Help!?Who can help me with this?

Sonbull [250]

What he/she said is correct

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3 years ago