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dybincka [34]
3 years ago
15

HELP PLEASE ASAP Solve for x in the diagram below

Mathematics
1 answer:
Leni [432]3 years ago
3 0

Answer:

29

Step-by-step explanation:

(x+12) + 100 + x = 180

           2x + 112 = 180

Subtract 112 from both sides

                    2x = 58

Divide 2 from both sides

                      x = 29

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Help needed for this question please
enyata [817]

Answer:

<em>11.72sq.m</em>

Step-by-step explanation:

Area of the shaded region = Area o triangle - Area of the semicircle

Area of triangle = 1/2 * base * height

Area of triangle = 1/2 * 6 * 6

Area of triangle = 3 * 6

Area of triangle = 18sq. m

Area of semicircle = πr²/2

r is the radius =  2m

Area of semicircle = π(2)²/2

Area of semicircle = 2(3.14)

Area of semicircle = 6.28sq. m

Area of the shaded region = 18 - 6.28

<em>Area of the shaded region = 11.72sq.m</em>

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3 years ago
A geometric sequence is shown below 2,-6,18,-54,162,... part A: what a recursive relationship for this sequence. Explain how you
fgiga [73]
<h3>Answer:</h3>
  • a_n = -3a_(n-1); a_1 = 2
  • a_n = 2·(-3)^(n-1)
<h3>Step-by-step explanation:</h3>

A) The problem statement tells you it is a geometric sequence, so you know each term is some multiple of the one before. The first terms of the sequence are given, so you know the first term. The common ratio (the multiplier of interest) is the ratio of the second term to the first (or any term to the one before), -6/2 = -3.

So, the recursive definition is ...

... a_1 = 2

... a_n = -3·a_(n-1)

B) The explicit formula is, in general, ...

... a_n = a_1 · r^(n -1)

where r is the common ratio and a_1 is the first term. Filling in the known values, this is ...

... a_n = 2·(-3)^(n-1)

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