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3 years ago

Is this a geometric sequence: 256, 192, 144, 108.

Mathematics

1 answer:

lozanna [386]3 years ago

7 0

Answer:

Yes

Step-by-step explanation:

For GP, Tn = ar^(n-1), where a = first term and r = common ratio, again,

r = Tn/Tn-1

All we will do is to verify

if T2/T1 = T3/T2

192/256 = 144/192

0.75 = 0.75

Conclusion:

As T2/T1 = T3/T2 which is 0.75 = 0.75, therefore, It is a Geometric Progression (GP)

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Answer and Step-by-step explanation:

<u>Trigonometric Function (These only work for right triangles):</u>

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S = Sine = sin

C = Cosine = cos

T = Tangent = tan

O = Opposite (side)

H = Hypotenuse (side)

A = Adjacent (side)

SOH = sin(angle) = $\frac{opposite}{hypotenuse}$

CAH = cos(angle) = $\frac{adjacent}{hypotenuse}$

TOA = tan(angle) = $\frac{opposite}{adjacent}$

1. sinQ (Q is the angle) = $\frac{14}{50} = \frac{7}{25} = 0.28$

Use Pythagorean Theorem to find side PQ. $14^{2} + PQ^{2}= 50^{2} \\PQ^{2} = 2304\\PQ = 48$

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3. tanQ = $\frac{14}{48} = \frac{7}{24} = 0.29$

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Evaluate the expression: a(b – c) if a = -8, b = 12, and c = 4

Llana [10]

Answer:

-64

Step-by-step explanation:

a(b - c)

a = -8

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c = 4

So, you'd plug in those numbers:

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#7. What are the values/ how do I do it

Tasya [4]

Answer:

x =2

SK = 21

KY = 13

SY = 34

Step-by-step explanation:

we can see from the picture the following:

SK + KY = SY equation 1

SK=13x-5 equation 2

KY = 2x+9 equation 3

SY = 36-x equation 4

using equation 2, equation 3 and equation 4 in equation 1 we have:

13x - 5 + 2x + 9 = 36-x

15x +4 = 36 - x

15x +x = 36-4

16x = 32

x = 32/16

x= 2

using x as 2 we evaluate it in equation 2, equation 3 and equation 4:

SK=13(2)-5 = 21

KY= 2(2) +9 = 13

SY = 36-2 = 34

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3 years ago