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3 years ago

Solve for x in the diagram below.

Mathematics

2 answers:

bija089 [108]3 years ago

8 0

Answer:

x = 12

Step-by-step explanation:

20° + (6x - 2) = 90°

18° + 6x = 90°

6x = 90° - 18°

6x = 72°

x = 72°/6

x = 12

stira [4]3 years ago

8 0

Answer:

Hope it helps buddy! Mark as brainlist please.

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Answer:

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3 years ago

5/28

natulia [17]

Answer:

Part a) The rule of the sequence is $A(n)=50(0.52^{n-1})$

Part b) The height of the ball will be $13.52\ cm$

Step-by-step explanation:

Part a) Write a rule for the sequence using centimeters. The initial height is given by the term n = 1.

we know that

In a <u>Geometric Sequence</u> each term is found by multiplying the previous term by a constant called the common ratio (r)

In this problem we have a geometric sequence

Let

n-----> the number of path

a1 ----> is the initial height

r -----> the common ratio

we have

$a1=0.5\ m=0.5*100=50\ cm$

$r=52\%=52/100=0.52$

The rule for the sequence is equal to

$A(n)=a1(r^{n-1})$

substitute

$A(n)=50(0.52^{n-1})$

Part b) What height will the ball be at the top of the third path?

For n=3

substitute in the equation

$A(3)=50(0.52^{3-1})$

$A(3)=50(0.52^{2})$

$A(3)=13.52\ cm$

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3 years ago