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Nostrana [21]
3 years ago
8

Use geometric mean to find the 7th term in a geometric sequence if the 6th term is 12 and the 8th term is 27

Mathematics
1 answer:
Darya [45]3 years ago
3 0

Answer:

18

Step-by-step explanation:

<em>First, use the equation for geometric mean; an=a1r^n-1</em>

*where is an is the number at an n term, r is the ratio and a1 is the first number of the sequence.*

12 = a1 r^5

27 = a1r^7

From the equations above,

a1 = 128/81

r = 3/2

Therefore, the 7th term is:

an = (128/81) (3/2)^6

an = 18

hope this helps :)

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Can the sides of a triangle have lengths 1, 4, and 7?
Nadusha1986 [10]

Answer:

No

Step-by-step explanation:

No because the measure of two sides are always greater than the third side

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Expand the following expression
masya89 [10]

Answer:

\frac{5}{4}  \times 4x +  \frac{5}{4}  \times  \frac{3}{4}  = 5x +  \frac{15}{16}

5 0
2 years ago
Brainliest to most helpful! Answer asap!
kap26 [50]

ΔAOB is a right angled triangle. Therefore the Pythagorean Theorem applies in this situation.
θ is the angle from a standard position of the line OA

The length of the y component is √(1-0)2 +(-3-(-3))2] =√(12+ 02) = 1 A(-3,1) to B(-3,0) which is opposite

Then the length of the x-component is √[(-3-0)2 +(0-0)2] = √(9+0)= 3 B(-3,0) to O(0,0) which is adjacent

The length of vector OA is √[(-3-0)2 + (1-0)2] = √(9+1) = √(10) A(-3,1) to O(0,0) which is the hypotenuse of the triangle

θ = 180 - α
sinθ = sin(180-α) = opposite/hypotenuse = 1/√10
cosθ = adjacent/hypotenuse = -3/√10
tanθ = opposite/adjacent = 1/-3 = -1/3

α= arcsin(1/√10) ≈ 18
θ =180 -18 ≈162
8 0
3 years ago
Y<br> 45°<br> 30°<br> N<br> 17<br> I need help pls
melisa1 [442]

Answer:

x=29.4

Step-by-step explanation:

To help find the sides of a triangle, I use SOHCAHTOA.

SOH - CAH - TOA

S=O/H (Sine=\frac{opposite}{hypotenuse} )

C=A/H (Cosine=\frac{adjacent}{hypotenuse} )

T=O/A (Tangent =\frac{opposite}{adjacent} )

Let's find x first. We know 2 parts of the triangle: the adjacent leg, and the angle that is opposite of that.

So it would be tangent (tan).

opposite = 17

adjacent = 30°

Plug these numbers into the calculator and you should get your answer.

\frac{17}{tan(30)} = 29.44486372...

x=29.4

Try to do <em>y</em> on your own and let me know if you have any questions!

Also correct me if I'm wrong on anything.

Hope this information helps!

4 0
2 years ago
Chocolate chip cookies have a distribution that is approximately normal with a mean of 24.1 chocolate chips per cookie and a sta
garik1379 [7]
P5

From Z tables and at P5 = 5% = 0.05, Z = -1.645
Therefore,
True value = mean +Z*SD = 24.1+(-1.645*2.1) = 20.6455 Chips per cookie

P95

From Z table and at P95=95%=0.95, Z= 1.645
Therefore,
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