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KiRa [710]
3 years ago
15

6, -12, 24, 8th term of geometric sequence

Mathematics
1 answer:
nordsb [41]3 years ago
5 0

Answer:

a₈ = - 768

Step-by-step explanation:

The nth term of a geometric sequence is

a_{n} = a₁ (r)^{n-1}

where a₁ is the first term and r the common ratio

Here a₁ = 6 and r = \frac{a_{2} }{a_{1} } = \frac{-12}{6} = - 2 , then

a₈ = 6 × -2)^{7} = - 6 × - 128 = - 768

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Nine times the sum of a number 7 and 3 equals .
Artist 52 [7]

Answer:

i believe 90 is the answer because if 7+3 is 10, then 9x10 is 90.

8 0
3 years ago
in a change jar, tom has nickels and dimes. the number of nickels is two times the number of dimes and the total amount of money
AleksAgata [21]
N=number of nickles
d=number of dimes

n is 2 times d
n=2d
total money is 1.20
convert to cens
120 cetns

5n+10d=120
n=2d
5(2d)+10d=120
10d+10d=120
20d=120
divide both sides by 120
d=6
6 dimes is answer

answer is A, 6 dimes
8 0
3 years ago
Given that segment AB is tangent to the circle shown in the diagram centered at point C, determine the value of x
Ulleksa [173]

Answer:

<h2>x= 37</h2>

Step-by-step explanation:

This problem can be solved by applying Pythagoras theorem, since the segment AB is tangent to the circle(meaning that the point A is at 90 degree to the circle)

According to Pythagoras theorem "It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides".

given (as seen from the diagram)

x, hypotenuse= ?

opposite= 12

adjacent= 35

Applying Pythagoras theorem

hyp^2= opp^2+adj^2\\\\hpy=\sqrt{opp^2+adj^2}

Substituting our given data and solving for hpy we have

hyp=\sqrt{12^2+35^2} \\\\hyp=\sqrt{144+1225}\\\\hyp=\sqrt{1369}\\\\hyp= 37

hence x= 37

5 0
3 years ago
Find the missing side. Round to the nearest tenth.
Firdavs [7]

Answer: <em>23.7</em>

Step-by-step explanation:

<em>Let's calculate the acute angle at the base of the triangle:</em>

<em>180° - 90° - 40° = 50°</em>

<em>Find side x:</em>

\dfrac{sin \: 90^{o} }{31} =\dfrac{sin \: 50^{o} }{x}\\\\sin \: 90^{o} \cdot x=sin \: 50^{o} \cdot 31\\\\sin \: 90^{o} =1\\sin \: 50^{o} \approx 0.766\\1 \cdot x =0.766 \cdot 31\\x=23.746\\23.746 \approx 23.7

5 0
3 years ago
What is length of X and length of Y
luda_lava [24]

Answer:

It is a right angled triangle.

so

tan32 = p/b

or, tan32 = x/5

or, tan32×5 = x

so, x = 3.124

for 5 no. the answer is a. 3.124

For y,

cos32 = b/h

or, cos32 = 5/y

or, y = 5/cos32

so, y = 5.895

for 6 no. 5.895 is closest to 5.994, so the answer is c. 5.994.

4 0
2 years ago
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