Answer:
231in^3Step-by-step explanation:
We know that the volume of a sphere/globe is given as
V=4 /3πr^3
but the circumference is expressed as
C=2πr
solving for r given that C=24
24=2*3.142r
24=6.284r
r=24/6.284
r=3.8in
put r=3.6 in the expression for volume we have
V=4 /3π(3.8)^3
V=4 /3π(55
V=(220.59*3.142)/3
V=693.12/3
V=231in^3
The volume of the globe is 231in^3
The volume of the globe is 233 cubic inches.
Important information:
Circumference of the globe along the equator to be 24 inches.We need to find the volume of the globe.
Volume of sphere:Let [tex]r[/tex] be the radius of the globe.
Circumference of the globe along the equator is:
[tex]C=2\pi r[/tex]
[tex]24=2\pi r[/tex]
[tex]\dfrac{24}{2\pi }=r[/tex]
[tex]\dfrac{12}{\pi}=r[/tex]
Volume of the globe is:
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
[tex]V=\dfrac{4}{3}\pi \left(\dfrac{12}{\pi}\right)^3[/tex]
[tex]V=\dfrac{4}{3}\pi \left(\dfrac{1728}{\pi^3}\right)[/tex]
[tex]V=233.444...[/tex]
[tex]V\approx 233[/tex]
Therefore, the volume of the globe is 233 cubic inches.
Find out more about 'Volume of sphere' here:
https://brainly.com/question/381274
A 2-column table with 4 rows titled Cost of Food at the Store. Column 1 has an entry bag of apples, one eggplant, a bag of oranges, a bunch of broccoli. Column 2 has entries 2 dollars and 38 cents, 89 cents, 1 dollar, and 75 cents, 1 dollar, and 7 cents.
Carlos wants to add two more bags of apples to his order. What is the new total?
Previous total:
2.38 + 0.89 + 1.07 = 4.34
Carlos owes how much money?
Answer:
9.1
Step-by-step explanation:
correct on Edg 2020-21
What is the equation X= 5y-10
Answer:
y = (1/5)x + 2
Step-by-step explanation:
X = 5y-10
5y = x + 10
y = (1/5)x + 2
Rewrite the equation below so that it does not have fractions.
Do not use decimals in your answer.
Answer:
x=17/14
Step-by-step explanation:
(7/9)x+2=(5/6)
18 is the least common multiple between 9 and 6, so we can multiply each fraction by 18.
7 18 126
---- * ------ = -------- = 14
9 1 9
14x+2=(5/6)
5 18 90
---- * ------ = --------- = 15
6 1 6
14x+2=15
+2 +2
14x=17
x=17/14
Hope this helps!
A mathematical sentence with an equal symbol used (I need the definition of it)
Answer:
An equation is a mathematical sentence containing an equals sign. It tells us that two expressions mean the same thing, or represent the same number. An equation can contain variables and constants.
Step-by-step explanation:
Ryan says that the sum of any two numbers is rational. Which of the following is a counterexample?
O 2 + 2 = 4
O 10 + 0.998987... = 10.998987...
0 +=1
5 +2.7 7.7
Answer: 10 + 0.998987... = 10.998987
Step-by-step explanation:
I just took the test today and this was the answer.
This graph shows a proportional relationship between the number of tulips and the number of daffodils in gardens planned by the Lindy Landscaping Company.
Lindy Landscaping Gardens
A line graph titled Lindy Landscaping Gardens has tulips on the x-axis, and Daffodils on the y-axis. There is 1 tulip for every 2 daffodils.
What is the constant of proportionality?
0.2
0.5
2
5
Answer: 2
Step-by-step explanation: I saw the answer somewhere else. Just wanted to tell you. I got it right on the test I think I was doing.
Answer:
2
Step-by-step explanation:
in the expression 6x+5-4x the terms are
Answer:
2x+5
Step-by-step explanation:
Answer:
6x, 5, -4x
Step-by-step explanation:
Use substitution to solve the system.
x = 3y +7
3x + 4y = 8
Answer:
x=4, y=-1
Step-by-step explanation:
x=3y +7. equation 1
3x+4y=8. equation 2
substitute equation 1 into equation 2
3 (3y +7)+4y =8
9y+21+4y=8
13y+ 21=8
13y=8-21
y=-13/13
y=-1
substitute the value of y into equation 1
x=3(-1)+7
x=-3+7
x=4
A square has an area of 4 m^2 What is the length of each side?
Answer:
length of each side is 2 metres
Step-by-step explanation:
square area = b^2
4 square m = b^2
square root of 4 = b
therfore b = 2
this is confusing and my stomach really hurts rn and im not in the mood to do geometry so can someone please help me
Answer:
second, third, and fourth
-9.5 - (-8) -6.5
helppppppppppp
Answer:
-8
Step-by-step explanation:
-4b+ 5(1 - 6b) = 243
The camp athletic director wants to arrange kickball games for high school students and middle school students. Because of the ages of the campers, the high school kickball field is larger than the middle school field. The length of the square base path of the high school field is represented by the expression 2x−3 and the length of the middle school base path is represented by the expression x−8.
What is the area of the middle school field if its side measures x−8 feet?
What is the area of the high school field if its side measures 2x−3 feet?
Answer:
Step-by-step explanation:
The area of the high school field’s base path is (4x^2 -12x + 9) ft^2
The area of the middle school field’s base path is ( x^2 -16x + 64) ft^2
The difference in size between the two is
(3x^2 +4x - 55) ft^2
Step-by-step explanation:
Firstly, we are to calculate the area of the high school field’s base path
Mathematically, the area of a square is L^2
where L is the length of the side of the square. The area of the high school field base path is thus;
(2x-3) * (2x-3) = 2x(2x-3) -3(2x-3) = 4x^2 -6x -6x + 9 = (4x^2 -12x + 9) ft^2
The area of the middle school field’s base path can be calculated in a similar fashion
That would be (x-8) * (x-8) = x(x-8)-8(x-8) = x^2 -8x -8x + 64 =( x^2 -16x + 64) ft^2
The difference in size between this two will be;
(4x^2 -12x + 9) - ( x^2 -16x + 64) = 4x^2-x^2-12x+16x+9-64 = (3x^2 +4x - 55) ft^2
POSSIBLE PO In a bag there are 10 red marbles, 5 green marbles, and 5 blue marbles. Wh at is the ratio IN FRACTION FORM of RED marbles to the total?
Answer:
10/20 = 1/2
There are a total of 20 marbles, and ten of those are red = 10/20
Which, is half of the total.
A company's stock began the day at $36.66 per share. That price drops by $1.69 each hour.
a. What is the price per share after 6 hours?
Answer:
After 6 hours the price per share is $26.52
Step-by-step explanation:
You multiply 1.69 by how many hours which in your case is 6. This gives you $10.14. Then you subtract 36.66 by 10.14 and you get your answer.
Hope this helps!
Could i please get this by today?
Answer:
ex.1: 9000$ ex.2: The only way it would work is 9x(-9)= -18+5= -13. ex.3: around 4 hours ex.4: I'm so sorry, I don't understand that. I failed you on that one someone else can answer it ex.5: 149 lbs.
Step-by-step explanation:
Ex1: Is he earns 1/6 of his sales, then it's 1500x6, which is 9000$.
Ex2: Shown in answer.
Ex3: !60+38=198+18=236+38=312.
Ex4: :'(
Ex5: Ruby is 3 lbs less than half her mom's weight, so it would be 76x2=152, then 152-3=149.
a)
Isaac is purchasing two pairs of shoes-one pair for $37.00 and the second
pair for $42.00. The state sales tax applied to Isaac's bill is 7%. How much is Isaac's
total bill? Show your work. (2 points)
The answer is 84.53
Add both pair of shoes together. Then take that total and multiply by7% or.07
can someone help me please:)
Answer:
8,710
Step-by-step explanation:
23.4 times 13.9 = 1567.8/0.18 = 8,710.
Let me know if you need any more help. :)
Answer:
b will equal to 1807
explain the difference between solving 2x+15-3x=10 and 2x-4=3x+11
all men get ready november 1st is in 6 day and we not all going to survive i wish luck to u all
Answer:
The same right back at you
Step-by-step explanation:
How Did You Do? Rate Your On a Scale Of1 to 5, with 5 as the highest score. then Write a brief evaluation of your work. Note what you learned and what challenges you
Answer:
I would give myself a five, i am amazing either way
Step-by-step explanation:
x(1+y)=z, for x
[tex]x(1 + y) = z for x[/tex]
Please help ASAP please
Orange is a reflection of green because they have the same points. The difference is one has all positive and the other has one negative.
Not actual points just an example:
Orange (5,5), (5,5), (5,5)
Green (-5,5), (-5,5), (-5,5)
They are the same shape but Orange is a reflection of green
what is x in the equation 6.25x + 12 = 30.70?
Answer:
x=2.99200
Step-by-step explanation:
6.25x=18.7
x=2.99200
6.25x=18.7 the answer is x=2.992
What is P in p − 6 = −5
Answer is 1
This might help
help me please i need help
Um question there is no question so I cannot answer,,,
Answer:
i'll help you
Step-by-step explanation:
122212i3jewfc ndskja cyas queen
The triangles shown below must be congruent.
True or false
Answer:
true
Step-by-step explanation:
they're not dilated in anyway.
8 increased by twice Goran's age
Use the variable g to represent Goran's age.
Find m+b and Write the equation
in Slope-Intercept form (y=mx+b)
Answer:
Slope: 3
y = 3x - 4
Step-by-step explanation:
Slope = rise/run = 3/1 = 3
y = mx + b
m = slope = 3
b = y-intercept = -4
y = 3x -4
Which one don’t lie!!!!!!!!
Answer: 1/8
Step-by-step explanation:
Hope this helps
Answer:
1/8
Step-by-step explanation:
(4-2) / (32-16) = 2/16 = 1/8