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3 years ago

Use the formula to evaluate the infinite series. Round to the nearest hundredth if necessary.

Mathematics

2 answers:

bagirrra123 [75]3 years ago

8 0

Answer:

1.25.

Step-by-step explanation:

The common ratio r is 1/5 and the first term a1 = (1/5)^(1-1) = 1.

Sum to infinity = a1 / (1 - r)

= 1 / (1 - 1/5)

= 1 / 4/5

= 5/4

= 1.25 (answer)

Stolb23 [73]3 years ago

8 0

Answer:

Step-by-step explanation:

1.25

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Triangle J is shown below. James drew a scaled version of Triangle J using a scale factor of 4 and labeled it

Novay_Z [31]

Answer:

The area of triangle K is 16 times greater than the area of triangle J

Step-by-step explanation:

we know that

If Triangle K is a scaled version of Triangle J

then

Triangle K and Triangle J are similar

If two triangles are similar, then the ratio of its areas is equal to the scale factor squared

Let

z -----> the scale factor

Ak ------> the area of triangle K

Aj -----> the area of triangle J

$z^{2}=\frac{Ak}{Aj}$

we have

$z=4$

substitute

$4^{2}=\frac{Ak}{Aj}$

$16=\frac{Ak}{Aj}$

$Ak=16Aj$

therefore

The area of triangle K is 16 times greater than the area of triangle J

4 0

3 years ago

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7.9 times 10 to the 8th power plus 1.68 times ten to the sixth power in scientific notation

nexus9112 [7]

7.9168 x 10^8
790000000 + 1680000 = 791680000

5 0

3 years ago

I am in a algebra 1 class and we are learning about variables and slope and all that stuff , and also were mainly talking about

kozerog [31]

Answer:

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2 years ago

If the sum of four consecutive numbers is 854, what is the third one?

lukranit [14]

Answer:

214

Step-by-step explanation:

The set up would be x + (x + 1) + (x + 2) + (x + 3) = 854, naturally as the numbers are consecutive. Solving for x:

x + (x + 1) + (x + 2) + (x + 3) = 854,

x + x + 1 + x + 2 + x + 3 = 854,

4x + 1 + 2 + 3 = 854,

4x + 6 = 854,

4x = 854 - 6 = 848,

x = 848/4 = 212

The third number then should be 212 + 2 = 214

7 0

3 years ago

If the sin 90 = 1 , then the cos 0 =

fenix001 [56]

Rule of trigonometric functions:-

sin a = cos(90 - a)

Here a = 90°.

sin 90 = cos (90 - 90)

1 = cos 0.

cos 0 = 1.

So the cos 0 = 1.

7 0

3 years ago

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