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Alexeev081 [22]
3 years ago
13

Find the sum of the first 69 terms of the arithmetic sequence.

Mathematics
1 answer:
BartSMP [9]3 years ago
7 0

Answer:

66.4637681159

Step-by-step explanation:

add the 69 numbers and divide by 69 for how many terms there are

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Three water storage containers have the same volume in the shape of a cylinder, a cone, and a sphere. The base radius of the cyl
fredd [130]

Answer:

- The ratio of the height of the cone to the height of the cylinder is 3:1

- The ratio of the height of the cone to radius of the sphere is 4:1

Step-by-step explanation:

Note that the radii of all the structures are the same.

Let the height of the cone be H and the height of the cylinder be h

The volume of each of the shapes are given below as

Volume of cylinder = πr²h

Volume of a cone = (1/3)πr²H

Volume of a sphere = (4/3)πr³

1) The ratio of the height of the cone to the height of the cylinder

To obtain this, we equate the volume of those two structures

Volume of the cone = Volume of the cylinder

(1/3)πr²H = πr²h

πr² cancels out on both sides and we're left with

(H/3) = h

H = 3h

(H/h) = (3/1)

So, The ratio of the height of the cone to the height of the cylinder is 3:1

2) The ratio of the height of the cone to radius of the sphere

Similarly equating the volumes of the cone and the sphere

(1/3)πr²H = (4/3)πr³

(1/3)πr² cancels out on both sides and we're left with

H = 4r

(H/r) = (4/1)

The ratio of the height of the cone to radius of the sphere is 4:1

Hope this Helps!!!

8 0
3 years ago
You deposit $6,000 in the bank. The account earns 7.5% simple interest. How much will be in the account in 2 years?
ivolga24 [154]
The answer is 900, i hope its helps
3 0
3 years ago
Please solve with explanation
OverLord2011 [107]

Real life scenarios of acute angles are:

  • Sighting a ball from the top of a building at an angle of 55 degrees.
  • The angle between two adjacent vanes of a fan that has 6 vanes

<h3>What are acute angles?</h3>

As a general rule, an acute angle, x is represented as: x < 90

This means that acute angles are less than 90 degrees.

<h3>The real life scenarios</h3>

The real life scenarios that involve acute angles are scenarios that whose measure of angle is less than 90 degrees.

Sample of the real life scenarios that satisfy the above definition are:

  • Sighting a ball from the top of a building at an angle of 55 degrees.
  • The angle between two adjacent vanes of a fan that has 6 vanes

Read more about acute angles at:

brainly.com/question/3217512

#SPJ1

8 0
1 year ago
Find the approximate area of a triangle that has vertices at A(-4,2),B(6,4)C(3,-1)
MrMuchimi

area \: of \: triangle \:  =  \frac{1}{2}  |( - 16) - (22)|
=  \frac{1}{2}  | - 44|
= | - 22|
area \: of \: triangle \:  = 22
6 0
2 years ago
Sophia 4/8 yards of string. She used 1/6 of the string for a school project how many yards of string did she use for her project
MariettaO [177]
We will start off by simplifying 4/8 to 1/2

then we will multiply the fractions because it says "of"

1/2 × 1/6=1/12

therefore the answer is C. 1/12
7 0
3 years ago
Read 2 more answers
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