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victus00 [196]
3 years ago
7

The first term of a geometric series is 124. The sum to infinity is 64 . Find the common ratio​

Mathematics
1 answer:
zalisa [80]3 years ago
7 0

9514 1404 393

Answer:

  -15/16  

Step-by-step explanation:

The sum of a geometric series with first term a1 is ...

  S = a1/(1 -r)

Then the common ratio (r) is ...

  r = 1 -a1/S

For the given values, the ratio is ...

  r = 1 - 124/64 = -15/16

The common ratio is -15/16.

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I need help with 14 and 15!?
Levart [38]

Answer:

15

Step-by-step explanation:

Pythagorean theorem states that the hypogenous of a right triangle is c=\sqrt{a^{2}+b^{2}} . The hypogenous is the longest part of the triangle which is directly across from the 90 degree angle.

a = 9

b = 12

so,

c = \sqrt{9^{2}+12^{2}  } = 15

7 0
3 years ago
In ΔKLM, the measure of ∠M=90°, the measure of ∠L=76°, and LM = 99 feet. Find the length of KL to the nearest tenth of a foot.
hram777 [196]

Answer:

The length of KL is 409.2 foot

Step-by-step explanation:

Firstly, please check attachment for diagrammatic representation.

From the diagram, we can see that we are asked to calculate the value of the hypotenuse KL. Kindly note that the hypotenuse is the longest side of the right-angled triangle and it faces the angle 90 at all times.

Looking at what we have, we can see that we have adjacent and we are asked to calculate hypotenuse.

The trigonometric identity to use here is the Cosine

Cosine = length of adjacent/length of hypotenuse

cos 76 = 99/hypotenuse

hypotenuse = 99/cos76

hypotenuse = 99/0.24192

hypotenuse = 409.22 which is 409.2 to the nearest tenth of a foot

7 0
3 years ago
The function f(x) = 1.25x + 12 represents the cost, in dollars, of a large pizza with x toppings. What does the 1.25 represent?
statuscvo [17]
1.25 represents the cost of each of the toppings in the pizza and the price of the pizza without the toppings is the (12) and f(x) is the total cost of the pizza

A is the correct answer for this question
6 0
3 years ago
The diagram shows a triangle.
Basile [38]

Answer:

s=13

Step-by-step explanation:

As\ we\ know\ that,\\"The \ sum\ of\ all\ angles\ of\ a\ triangle\ is\ 180"\\Hence,\\(4s+9)+(3s+1)+(6s+1)=180\\4s+3s+6s+9+1+1=180\\13s+11=180\\13s=180-11\\13s=169\\s=13

5 0
3 years ago
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Marina CMI [18]

Answer:

D. 3x - 3

Step-by-step explanation:

To find (f-g)(x) you have to subtract each fuction

(f-g)(x) = f(x) - g(x)

(f-g)(x) = 5x -2 - (2x+1)

(f-g)(x) = 5x -2 -2x -1

(f-g)(x) = 3x -3

7 0
3 years ago
Read 2 more answers
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