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Contact [7]
2 years ago
12

What is the sum of the first 10 terms in the sequence 1, 3/2, 9/4, 27/8, 81/16​

Mathematics
1 answer:
Julli [10]2 years ago
5 0

Answer:

This is GP and number of terms is 10 first term is 1 ratio is 3/2

Step-by-step explanation:

  1. Using the formula u get sum as 113.33 (didn't calculate in fraction)
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How long will it take to drive 30 miles going 15 mph?
mrs_skeptik [129]
Distance=speed times time

distance=30mi
speed=15mph
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30=15 times t
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2=t

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2 years ago
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What is the slope of the line?
White raven [17]

Answer:

-\frac{2}{3} x

Step-by-step explanation:

Hey there!

To find slope, you take \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

In this case

y2: 6

y1: 4

x2: -3

x1: 0

Now we plug in this information

\frac{6-4}{-3-0} \\\\\frac{2}{-3} \\\\-\frac{2}{3}

Since this is the slope, you have to add a "x"

So, the slope is -\frac{2}{3} x

5 0
2 years ago
Which of the following pairs of numbers contains like fractions?
Harrizon [31]

Answer:

D

Step-by-step explanation:

if you multiply 5 by 2 you get 10

if you multiply 6 by 2 you get 12

5/2 (2) =10/12

Hope this helped

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4 0
3 years ago
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Can somebody help a sister out ? Please help .
Leya [2.2K]
B......hope this was helpful
4 0
2 years ago
Find the volume and surface area of the composite figure. Give your answer in terms of pi
ExtremeBDS [4]

Given:

A diagram of a composite figure.

Radius of cone and hemisphere is 8 cm.

Height of the cone is 15 cm.

To find:

The volume and the surface area of the composite figure.

Solution:

Volume of a cone is:

V_1=\dfrac{1}{3}\pi r^2h

Where, r is the radius and h is the height of the cone.

Putting r=8,h=15 in the above formula, we get

V_1=\dfrac{1}{3}\pi (8)^2(15)

V_1=\pi (64)(5)

V_1=320\pi

Volume of the hemisphere is:

V_2=\dfrac{2}{3}\pi r^3

Where, r is the radius.

Putting r=8, we get

V_2=\dfrac{2}{3}\pi (8)^3

V_2=\dfrac{1024}{3}\pi

V_2\approx 341.3\pi

Now, the volume of the composite figure is:

V=V_1+V_2

V=320\pi +341.3\pi

V=661.3\pi

The volume of the composite figure is 661.3π cm³.

The curved surface area of a cone is:

A_1=\pi r\sqrt{h^2+r^2}

Where, r is the radius and h is the height of the cone.

Putting r=8,h=15 in the above formula, we get

A_1=\pi (8)\sqrt{(15)^2+(8)^2}

A_1=\pi (8)\sqrt{289}

A_1=\pi (8)(17)

A_1=136 \pi

The curved surface area of the hemisphere is:

A_2=2\pi r^2

Where, r is the radius.

Putting r=8, we get

A_2=2\pi (8)^2

A_2=2\pi (64)

A_2=128\pi

Total surface area of the composite figure is:

A=A_1+A_2

A=136\pi +128\pi

A=264\pi

The total surface area of the composite figure is 264π cm².

Therefore, the correct option is A.

8 0
2 years ago
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