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SVEN [57.7K]
2 years ago
10

Find the sum of the first 8 terms of the following series, to the nearest integer 48,60,75

Mathematics
1 answer:
ollegr [7]2 years ago
4 0

The series is a geometric series and the sum of the first 8 terms of the series 48, 60, 75 is 952.32

<h3>How to determine the sum of the first 8 terms?</h3>

The series is given as:

48, 60, 75

The above series is a geometric series with the following parameters:

First term, a = 48

Common ratio, r = 1.25

The sum of n terms is:

S_n = \frac{a(r^n - 1)}{r -1}

So, we have:

S_8 = \frac{48 * (1.25^8 - 1)}{1.25 -1}

Evaluate

S_8 = 952.32

Hence, the sum of the first 8 terms of the series is 952.32

Read more about series at:

brainly.com/question/6561461

#SPJ1

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Container A is cylinder with a radius of 10 units and a height of 10 units. A right cone has been carved from its base and has a
sergij07 [2.7K]

Answer:

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

From the information given,

Height = 10 units

Radius = 10 units

Volume = π × 10² × 10

The formula for determining the volume of a cone is expressed as

Volume = 1/3πr²h

Height = 10 units

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Volume = 1/3 × π × 10² × 10

Since the cone has been carved from the cylinder, the statement that derives the formula to find the volume of container B is

π × 10² × 10 - 1/3 × π × 10² × 10

7 0
3 years ago
The figure shows a triangle with its three angle bisectors intersecting at Point P.
NeX [460]

Check the picture below.

we know the lines are angle bisectors, so the line makes twin angles, so the line FP is making twin angles, we also know the angle FZP and the angle FYP are right-angles, as well as FP is a common hypotenuse to two right triangles, thus by the HA postulate for right triangles, triangle FPZ and triangle FPY are both congruent, so their sides are also congruents, thus PY = PZ.

7 0
3 years ago
Can some plz help me!
Ymorist [56]

Answer:

a=9+6

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z=15+(-12)

x=-10+(-7)

Step-by-step explanation:

5 0
3 years ago
Help please!
bagirrra123 [75]

(d):  y = mx+n

m = -2/3 ⇒ y = (-2/3)x +n

A(-4,  6) ∈ d  ⇒ 6 = (-2/3)·(-4) +n ⇒ 6 = 8/3 +n ⇒

⇒ n = 6 - 8/3 ⇒ n = 10/3

Now, we have:

y = (-2/3)x +10/3


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4 years ago
MARKING BRAINLIEST!!<br><br> For what value of x is the figure below a rectangle?
Vedmedyk [2.9K]
<h2><u><em>Answer: Yes it is a rectangle I don't know if that's all you want to know</em></u></h2>

<u><em></em></u>

5 0
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