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3 years ago

A Volcanic cone Have a diameter of 300 meters and a height of 150 meters what is the volume of the cone

1 answer:

4 0

Volume of the cone = 1/3 π r² h

Volume of the cone = 1/3 π (300÷2)² (150) = 3, 534,291.74 m³

Answer: 3, 534,291.74 m³

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Which sequence is modeled by the graph below?

mariarad [96]

Answer:

$a_n=27\left(\dfrac{1}{3}\right)^{n-1}$

Step-by-step explanation:

From inspection of the graph, the given points are:

(2, 9)
(3, 3)
(4, 1)

If we draw a line through the given points, the line is a curve rather than a straight line. If the line was a straight line, the graph would be modeled as an arithmetic sequence. Therefore, as the line is a curve, the given points are modeling a geometric sequence.

<u>General form</u> of a geometric sequence:

$a_n=ar^{n-1}$

where:

a is the first term
r is the common ratio
$a_n$ is the nth term

Rewrite the given points as terms of the sequence:

(2, 9) ⇒ a₂ = 9
(3, 3) ⇒ a₃ = 3
(4, 1) ⇒ a₄ = 1

To find the common ratio r, divide consecutive terms:

$\implies r=\dfrac{a_3}{a_2}=\dfrac{3}{9}=\dfrac{1}{3}$

Calculate the first term (a) by substituting the found value of r and the given values of one of the terms into the formula:

$\implies a_2=9$

$\implies a\left(\dfrac{1}{3}\right)^{2-1}=9$

$\implies \dfrac{1}{3}a=9$

$\implies a=27$

Substitute the found values of r and a into the general formula to create the sequence modeled by the graph:

$a_n=27\left(\dfrac{1}{3}\right)^{n-1}$

Learn more about geometric sequences here:

brainly.com/question/25398220

brainly.com/question/27783194

5 0

1 year ago

Read 2 more answers

Sixty more than nine times a number is 375

zmey [24]

Answer:

well... x is 35 if that's what your'e asking :)

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

A circle has a radius of 4 meters and a central angle AOB that measures 120°. What is the length of the intercepted arc AB? Use

Valentin [98]

<span>120 degs --> 1/3 of the circumference :) hope i helped!</span>

6 0

3 years ago

Read 2 more answers

25 points people please help i will mark brainly give 5 stars and give 5 hearts if correct

miss Akunina [59]

First one: false
second one: false
third one: false
fourth one: true

4 0

3 years ago

Help me help me help me help me

Nitella [24]

Answer:

1. 4/12, 3/9, 2/6, 5/15

2. 4/8, 8/16, 6/12

3. 2/8, 4/16, 3/12

4. 6/8, 9/12, 4/16

Step-by-step explanation:

I'm assuming your question is about all 4 problems shown so I'll explain how to solve all of them.

1. The question is asking you to find an equivalent fraction to 1/3. The easiest way to do this is to reduce all of the options given.

To reduce fractions, first determine if the numerator and denominator share any factors. If they do, divide both terms by the shared factors until you no longer get whole numbers.

Step 1: reduce answer choices

6/16 = 3/8 (done by dividing both terms by 2)

4/10 = 2/5 (divide both by 2)

3/8 = 3/8 (fully reduced)

2/5 = 2/5 (fully reduced)

4/12 = 1/3 (divide both by 4)

5/10 = 1/2 (divide both by 5)

1/2 = 1/2 (fully reduced)

3/9 = 1/3 (divide both by 3)

2/6 = 1/3 (divide both by 2)

5/15 = 1/3 (divide both by 5)

3/8 = 3/8 (fully reduced)

3/4 = 3/4 (fully reduced)

2. This question is solved the same way as question 1.

Step 1: reduce answer choices

2/5 = 2/5

6/9 = 2/3

4/8 = 1/2

3/9 = 1/3

8/16 = 1/2

8/10 = 4/5

7/12 = 7/12

6/12 = 1/2

3. This question is solved the same way as questions 1 and 2.

Step 1: reduce answer choices

3/8 = 3/8

2/8 = 1/4

4/9 = 4/9

2/7 = 2/7

4/16 = 1/4

10/14 = 5/7

6/9 = 2/3

3/12 = 1/4

4. This question is solved the same way as questions 1, 2, and 3.

Step 1: reduce answer choices

6/8 = 3/4

4/9 = 4/9

4/6 = 2/3

9/12 = 3/4

10/12 = 5/6

6/9 = 2/3

12/16 = 3/4

7/9 =7/9

7 0

2 years ago