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dedylja [7]
3 years ago
9

A sphere has a diameter of 18 meters. Find the volume of the sphere, in cubic meters, in terms of π.

Mathematics
1 answer:
Gnom [1K]3 years ago
8 0
The formula of the volume of a sphere is 4/3(πr^3). Radius is 1/2 the diameter so if the diameter is 18, the radius is 9. Now we plug that into the formula 4/3(π9^3). Now we solve for the volume step by step. First 9^3 = 729. Now 4/3(729π). Now divide 729 by 3 and multiply by 4 so 4(729/3) = 972π. The volume of the sphere is 972π.
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What is the rule when you multiply several factors together? an even number of negative signs will result in
IrinaVladis [17]
⓵
When multiplying several factors together, an even number of negative signs will result in a positive answer.

↠ Because when you multiply two negative signs together, the negative signs turn into a positive sign, giving you a positive answer.

↠ If you have an even number of negative signs to multiply, then all your negative signs will be turned into positive signs, giving you a positive answer!

⓶
When multiplying several factors together, an odd number of negative signs will result in a negative answer.

↠ Because when you multiply a negative sign by a positive sign, the negative sign always wins, giving you a negative answer.

↠ If you har an odd number of negative signs to multiply, this means that once you are done multiplying all of the negative signs together except for the last one, you will be multiplying a positive sign with a negative sign.

↠ Here’s another way to see it : if you have 5 negative signs to multiply together, you will start by multiplying the first 2, which will give you a positive result. Then you will multiply the third and the fourth negative signs together, which will also give you a positive result. By that time, you will have two positive signs and one negative sign left, which means you will have no choice but to multiply a positive sign by the last negative sign, resulting in a negative answer!

I hope this helps! If you need a visual example, just tell me, it will be my pleasure! ☻
4 0
3 years ago
Find three consecutive integers whose sum is equal to −354. Three consecutive integers in ascending form are __,__,__
mixer [17]

Answer: -119, -120, and -121

Step-by-step explanation: This problem states that the sum of three consecutive integers is -354 and it asks us to find the integers. Three consecutive integers can be represented as followed.

X ⇒ <em>first integer</em>

X + 1 ⇒ <em>second integer</em>

X + 2 ⇒<em> third integer</em>

<em />

Since the sum of our three consecutive integers is -354, we can set up an equation to represent this.

X + X + 1 + X + 2 = -354

Now, we can simplify on the left side of the equation.

3x + 3 = -354

      -3      -3    ← subtract 3 on both sides of the equation

3x = -357

÷3     ÷3     ← divide both sides by 3

X = -119

X ⇒ <em>first integer = </em><em>-119</em>

X + 1 ⇒ <em>second integer = </em><em>-120</em>

X + 2 ⇒<em> third integer = </em><em>-121</em>

<em />

Therefore, our three consecutive integers are -119, -120, and -121.

6 0
3 years ago
Read 2 more answers
There are 20 students on the schools student council. A special homecoming dance committee is to be formed by randomly selecting
babymother [125]
You have to take 20/7 and you get a answer of <span>2.85 as a decimal. or a mixed number of 2 17/20</span>
3 0
3 years ago
Viviana jumps rope 52 times. Josiah jumps
sveticcg [70]

Answer:

Viviana and Josiah

Step-by-step explanation:

52+7 =59

Hope this helps!!

8 0
3 years ago
A phone plan costs $10 per Month, +.03 per text message. John wants his phone bill to be less than $40, before taxes. What is th
masha68 [24]

Answer:

The maximum number of text message John can send is 100

Step-by-step explanation:

Given as :

The phone bill of the John = $ 10 per month + $ 0.3 per text message

John want his bill amount to be less than $ 40

Let The maximum number of text message John can send = n

According to question

The total bill amount = The cost of phone plan + rate of text message

I.e  $ 10 per month + $ 0.3 × maximum number of text message = $ 40

or, $ 0.3 × n = $ 40 - $ 10

Or, $ 0.3 × n = $ 30

∴  n = \frac{30}{0.3}

I.e n = 100

So,  The maximum number of text message John can send = n = 100

Hence The maximum number of text message John can send is 100 Answer

5 0
3 years ago
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