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Savatey [412]
3 years ago
15

Problem ID: PRABK2AZ

Mathematics
1 answer:
Vaselesa [24]3 years ago
8 0

Answer: f(n+1) = 3 f(n)

Step-by-step explanation:

  • A recursive formula is used to determine each term of a sequence using preceding term or terms.

Given sequence : 2.5, 7.5, 22.5, 67.5, 202.5,...

Here,

2.5\times 3=7.5\\7.5\times3= 22.5\\22.5\times 3= 67.5\\67.5\times3=202.5

Common ratio = 3

Let f(n) be a term in this sequence then the next term will be f(n+1) = 3 f(n), where n is a natural number .

Required recursive formula :  f(n+1) = 3 f(n)

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(Law of Sines)
Mariana [72]

Answer:

Option (D) is correct.

Step-by-step explanation:

In a triangle BCD , with b, c, d as the sides of triangle.

Sine rule states when we we divide side b by the sine of angle B then it is equal to side c divided by the sine of angle C and also equal to side d divided by the sine of angle D.

Using Sine rule,

\frac{b}{\sin B}=\frac{c}{\sin C}=\frac{d}{\sin D}

Consider the first and third ratio,

\frac{b}{\sin B}=\frac{d}{\sin D}

Substitute the values of d = 3 , b= 5 and ∠D=25°

\Rightarrow \frac{5}{\sin B}=\frac{3}{\sin 25^{\circ}}

\Rightarrow \sin B=\frac{\sin 25^{\circ} \times 5}{3}}  

 \Rightarrow \sin B=45,135

Thus, Measure of angle B is 45 and 135 as sinB is positive is first and 2nd quadrant.

Thus, option (D) is correct.


7 0
3 years ago
Read 2 more answers
Events A and B satisfy the conditions shown P (A)=0.3 P (B)=0.1 P (A and B)=0.03 What statement about the two events must be tru
Sliva [168]

Answer:

D

Step-by-step explanation:

P(A)=0.3

P(B)=0.1

P(A)×P(B)=0.3×0.1=0.03

P(A and B)=P(A)×P(B)

They are independent.

6 0
3 years ago
Help please show step by step
kobusy [5.1K]

Answer:

82.5 sq ft

Step-by-step explanation:

paralaalallelomgram area = b*h so the b is the base and base is 10 and h is the height and height is 8.25 so 10 & 8.25 = 82.5 sq ft

7 0
3 years ago
Whats the operation <br><br> multiplication ? subtraction ?
Ksivusya [100]
Subtraction is the operation that you should is to solve this problem
8 0
3 years ago
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Nick is a great baby sitter.He makes $9 an hour.Julia is an even better babysitter She makes $12 an hour.Julia works 6 hours eac
serg [7]

Answer:

Nick has to work 8 hours

Step-by-step explanation:

Nick makes 9   works x

Julia makes 12  works 6

first find out how much Julia makes you can do that by multiplying 12 by 6 witch = 72

and we know we are trying to find how many hours Nick needs to work to equal Julia so we knew they are equal

so we have 9X=72

we just have to solve...

divide 72 by 9

leaving use with X=8

4 0
3 years ago
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