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sashaice [31]
3 years ago
15

Find the exact value of the 8th term of the geometric sequence: 648,216,72,24?

Mathematics
1 answer:
Vikki [24]3 years ago
8 0
The answer is b, hope I helped (:
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20 POINTS!!!
notka56 [123]

\dfrac{2}{\sqrt3\cos x+\sin x}=\sec\left(\dfrac{\pi}{6}-x\right)\\\\\dfrac{2}{\sqrt3\cos x+\sin x}=\dfrac{1}{\cos\left(\dfrac{\pi}{6}-x\right)}\ \ \ \ \ (*)\\----------------\\\\\cos\left(\dfrac{\pi}{6}-x\right)\ \ \ \ |\text{use}\ \cos(x-y)=\cos x\cos y+\sin x\sin y\\\\=\cos\dfrac{\pi}{6}\cos x+\sin\dfrac{\pi}{6}\sin x=\dfrac{\sqrt3}{2}\cos x+\dfrac{1}{2}\sin x=\dfrac{\sqrt3\cos x+\sin x}{2}\\------------------------------

(*)\\R_s=\sec\left(\dfrac{\pi}{6}-x\right)=\dfrac{1}{\cos\left(\dfrac{\pi}{6}-x\right)}=\dfrac{1}{\dfrac{\sqrt3\cos x+\sin x}{2}}\\\\=\dfrac{2}{\sqrt3\cos x+\sin x}=L_s

6 0
3 years ago
Read 2 more answers
At 22 years of age, Nicolas and Troy have started their first full-time jobs, and Troy decides to place $10,000 in a savings pla
grigory [225]

Answer:

The correct answer 8486.

Step-by-step explanation:

Given:

Troy - P pr principle amount = 10000

rate = 9%

time = 60-22 = 38

intrest at every three months so time = t = 38*4 = 132

Nicohlas

P = x

rate = 10%

time = 60 -45 = 15

every month compounded = 15*12=180

solution:

the formula of compound intrest = P (1 + r/n)^(nt)

where n = number of counded intrests per year

puting formula for troy=

10000 (1+9/4)^132

= 294,322.96 .....1

now for nicolas

I = x(1+10/12)^180

x = 294,322.96/(1+10/12)^180

= 8486.

4 0
3 years ago
Witch expression is equivalent
leva [86]

The equivalent expression of -14 - 6 is -14 - (+6)

<h3>What are equivalent expression?</h3>

Equivalent expressions are expressions that have the same value when evaluated

<h3>How to determine the equivalent expression?</h3>

The expression is given as:

-14 - 6

Put the terms of the expression in brackets

-14 - (6)

Rewrite 6 as +6

-14 - (+6)

Hence, the equivalent expression of -14 - 6 is -14 - (+6)

Read more about equivalent expression at

brainly.com/question/2972832

#SPJ1

5 0
2 years ago
Suppose two parallel lines are cut by a transversal. What angle relationships describe congruent angles in this context?
baherus [9]

Answer:

Corresponding angles

Step-by-step explanation:

In elementary geometry the word congruent is often used as follows.

Two line segments are congruent if they have the same length.

Two angles are congruent if they have the same measure.

Two circles are congruent if they have the same diameter.

The eight angles that are produced as a result of two parallel lines are cut by a transversal will together form four pairs of corresponding angles. Corresponding angles are congruent. All angles that have the same position with regards to the parallel lines and the transversal are corresponding pairs.

5 0
3 years ago
Read 2 more answers
I need help plz help
VashaNatasha [74]

twice as many cats (as) dogs.

c = 2d  [not true]

Three less than twice as many cats (as) dogs.

c = 2d - 3

210 combined,

c + d = 210

Subtracting,

-d = 2d - 3 - 210

-3d = -213

d = 71

Answer: 71

7 0
3 years ago
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