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:
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which inequality is true for all real numbers? Check all that apply.
1. a-b < a+b
2. ac ≥ bc
3. if a ≥ b, then a+c ≥ b+c
4. if c > d, then a-c < a-d
5. if a < b, then a < b+c
Answer:
The answer is 1, i.e a-b < a+b
Its C: If a ≥ b, then a + c ≥ b + c
and D: If c > d, then a– c < a – d
I need help please!!
Answer:
rotation
Step-by-step explanation:
tis is a rotation around line x=y
if the slope of BC is 1/2 what is the slope of AC
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete.
However, I'll answer base on the following assumptions.
1. AC and BC are parallel.
2. AC and BC are perpendicular
For (1)
Parallel lines have equal slopes.
So, AC = BC = ½
For (2)
Slope of perpendicular line is:
m1 * m2 = -1
Take m1 as slope of BC
So, we have
½ * m2 = -1
Solve for m2
m2 = -1/½
m2 = -1 * 2
m2 = -2
Hence, the slope of AC is -2
17. Given that I ||m, find the value of 'X'.
(5x + 8)
m
53°
n
Answer:
40
Step-by-step explanation:
Parallelogram JKLM has vertices J(-1, 6), K(0, 9), L(6, −3), and M(3, −3). What is the coordinates of the image if the parallelogram is dilated with a scale factor of -1/3
Answer: [tex](\dfrac13,-2),\ (0,-3),\ (-2,1),\ (-1,1) .[/tex]
Step-by-step explanation:
Transformation rule for dilation:
[tex](x,y)\to(kx,ky)[/tex] , where k = scale factor
Given : Scale factor = [tex]-\dfrac13[/tex]
Parallelogram JKLM has vertices J(-1, 6), K(0, 9), L(6, −3), and M(3, −3)
Vertices after dilation:
[tex](-1,6)\to(-1\times\dfrac{-1}{3},6\times\dfrac{-1}{3})=(\dfrac13,-2)[/tex]
[tex](0,9)\times(0\times-\dfrac13,9\times-\dfrac13)=(0,-3)[/tex]
[tex](6,-3)\to(6\times-\dfrac13,\ -3\times-\dfrac13)=(-2,1)[/tex]
[tex](3,-3)\to (3\times-\dfrac13,\ -3\times-\dfrac13)=(-1,1)[/tex]
Hence, the coordinates of the image if the parallelogram = [tex](\dfrac13,-2),\ (0,-3),\ (-2,1),\ (-1,1) .[/tex]
Jenna feeds her cat twice a day. She gives her cat 3/4 can of cat food each time. Jenna is having a friend take care of her cat for 5 days. To prepare, she bought 8 cans of cat food, did Jenna buy enough cat food?
Answer:
Number of times Jenna feeds her cat = 2
Cat food each time
Number of days = 5
Number of cans she bought = 8
Step-by-step explanation:
Required food for each time
Jenna feeds her cat twice a day
Required food for a day
Required food for 5 days
Since, 7.5 cans < 8 cans, therefore, Jenna did buy enough cat food for her cat.
Solve for x: 4 − (x + 2) −7
x −9
Answer:
x = 2
Step-by-step explanation:
4 - (x + 2) - 7 = x - 9
4 - x - 2 - 7 = x - 9
-5 = 2x - 9
4 = 2x
x = 2
Please don't report me if I am wrong :(
x=2!
I think you asked: Solve for x: 4 − (x + 2) −7
The answer is x=2
Let's simplify step-by-step.
4−(x+2)−7
=4+−x+−2+−7
Combine Like Terms:
=4+−x+−2+−7
=(−x)+(4+−2+−7)
=−x+−5
That is the simplified answer. If you think carefully, I think x=2
Today, a bicycle rider rode her bike 5 1/2 miles to raise money for her school. Yesterday, she rode 6 1/4 miles her grandfather said he would give her 2$ for every mile she rode. How much money did she earn?
Answer:
.125 or 1/8
Step-by-step explanation:
The question is looking for the difference divided by the long ride. The long ride is 6 1/4 miles, so now we need to find the difference.
In order to do this, we take the larger distance and subtract the smaller distance.
We would take (Tip: Use decimals when you can. They are easier to work with ) 6.25 - 5.5 and we get .75 or 3/4 of a mile.
Now, we put .75 over 6.25 and simplify.
.125 or 1/8
Answer:
22$ simplified
Step-by-step explanation:
5*2=10+12=2*6
=22
what three numbers from the 8 times table can get you to 108
Answer:
8 doesn't go into 108n but 9 and 12 do.
Step-by-step explanation:
hope this helps! if i doesn't can u please clarify the question more and then i will help u
If you have to use 8 one time it if physically impossible, However if not you can do 6x6x3
Can someone solve fast it’s 381 to the power of 5 divided by 381
Answer:
1.6056648e+12
Step-by-step explanation:
Answer:
21071715921
Step-by-step explanation:
This is what I got when i entered it into a calculator. Hopefully i'm correct and this helps :) Have a good day/night
please help for 20 points
The answer will be 5.9°Fahrenheit
help me .........................................................
Answer:
d
Step-by-step explanation:
given the system of linear equations:
2x+1/2y=7
6x-1/2y=5
which new equation would be the result of adding the equations together?
4x=2
8x=2
8x=12
y=12
Answer:
8x=12 cause y would cancel out and then you just add 2 and 6, and 7 and 5.
There can be only one diagram of a net associated with each three-dimensional figure. Group of answer choices True False
The answer to this is true
1. Simplify 3√-8x24y36
2. Simplify 3√-50 Enter your answer, in simplest radical form, in the box.
Answer:
√3
Step-by-step explanation:
Factor 3 into its prime factors
3 = 3
Note that 3 is a prime number, it only has itself as a factor (that is on top of the trivial factor "1")
To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.
In our case however, all the factors are only raised to the first power and this means that the square root can not be simplified
The simplified SQRT looks like this:
sqrt (3)
Kevin rented a truck for one day. there was a base fee of $17.99, and there was an additional charge of 95 cents for each mile driven. Kevin had to pay $157.64 when he returned the truck. for how manny miles did he drive the truck?
Answer:
Step-by-step explanation:
Base fee = $17.99
Additional charge = $0.95 for each mile driven
If Kevin paid $157.64 when he returned the truck and we want to find out how many miles he drove the truck, step 1 would be to subtract the base fee.
157.65 - 17.99 = 139.65
This means that the remaining $139.65 is how much he paid for the miles he drove.
Since we know each mile costs $0.95.
Simply divide $139.65 by $0.95 to work out how many miles he drove.
Miles driven = 139.65 / 0.95 = ?
PAY ATTENTION FOR MEGA POINTS!!!
Sam has 6 eggs. She broke 2 of them, cooked 2 of them, and ate 2 of them.
how many eggs are left?
Answer:
she still has 6
Step-by-step explanation:
she still has six because even though she broke them, cooked them and ate them there are still 6 eggs?
i dont know really lol
there will be 4 more left bc she broke two of them that means she cracked two of them then those are the ones that she ate.
HELPPPP WILL GIVE BRAINLIEST
A water pump can produce 280 gallons in 24 hours
How many gallons per hour is this?
Answer:
6720
Step-by-step explanation:
you you are going to multiply 280 gallons and 24 hours to get 6720 I'm not 100% sure this is the correct answer
3a-3(b-c)if a=1 b=3 c=-4
Answer:
3(1) _3 (3_4)
3_3 (1)
3_3
0
Write the repeating decimal as a fraction. -0.356 with 2 trailing repeating decimals plz help ill give branliest
Answer:
Fraction: 89/250
Percentage:35.6%
Step-by-step explanation:
What is an equation of the line that passes through the points (-4, 4) and (8, 1)?
Answer:
y=-1/4x +3
Step-by-step explanation:
See the attached above.
Hope it helps :-)
HELP ME PLEASE!!! this is a timed testttt
Answer:
1300
Step-by-step explanation:
add the S numbers than add the T number than there is your answer
Determine whether the relation is a function.
((-6,6),(-1, 2), (2,-3), (5,5)}
Function
Not a function
Answer:
function
Step-by-step explanation:
every x value has only 1 y value
When looking at graphs, which of the following statements is true about functions? If each vertical line passes through only one point, it is a function. Each vertical line must pass through at least two points to be a function. If there are more than 3 points on the graph it is not a funcion. A function cannot be represented on a graph.
Answer:
If each vertical line passes through only one point, it is a function.
Step-by-step explanation:
The true statement about functions:
-If each vertical line passes through only one point, it is a function.
What is function?"It is a relation between a set of inputs and a set of possible outputs."
What is vertical line?"Any line parallel to the Y-axis"
What is vertical line test?"It is a method that is used to determine whether a given relation is a function or not.""This test states that, any vertical line in the plane can intersect the graph of a function at most once".For given question,
We need to determine where the given graph represents a function or not.
When we look at graphs,
Using vertical line test,
If any vertical line intersects the graph more than once, then the graph is not a function.
Therefore, the true statement about functions:
-If each vertical line passes through only one point, it is a function.
Learn more about the graph of a function here:
https://brainly.com/question/27757761
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Solve the equation.
2(3x + 8) = - 36 +4
Answer: -8
Step-by-step explanation:
i did the math
Answer:
X= -8
Step-by-step explanation:
2(3X+8)=-36+4
6X+16= -32
6X= -32-16
6X= -48
X= -48/6
X= -8
what are the five lessons or skills you learned in your t.l.e
9
Answer:
Step-by-step explanation:
Throughout life, we learn lessons and skills that drastically change the way we view the world and the decisions we make. For me, the lessons and skills that were the most important were the following ...
Don't be jealous of what others have.Invest as much as you can in your 20'sLearn to codeLearn to play GuitarHave goals.All of these lessons and skills have helped me visualize a future that would make me happy and has even opened some doors which would help make such a future a reality.
Mike discovered an error in his checking account register and when he recalculated his balance he
was overdrawn in the amount of -$738.57. Mike saved two of his paychecks in the amount of $300.40
each in case of emergencies. If Mike deposited the amount he saved, what would be his current balance?
Answer:
Mike would have -438.17, poor mike lol
how do u divide decimals using long division like for example 9.6 ÷3
How to Divide Decimals
Move the decimal point in the divisor and dividend. ...
Place a decimal point in the quotient (the answer) directly above where the decimal point now appears in the dividend.
Divide as usual, being careful to line up the quotient properly so that the decimal point falls into place.
Julio es un joven muy emprendedor y ha iniciado un negocio de venta de audífonos y cargadores. Este mes, separa la cantidad de dinero, que ha obtenido en sus ventas, en dos partes: gastos y ganancias y se percata que están a razón de 5 es a 3. Del dinero que gasta, ⅗ lo gasta en compra de más mercadería, 10% en servicios de agua, luz e internet, el restante, S/ 150,60 lo gasta en su alimentación. ¿Cuánto ha sido su ganancia en este mes?
Answer:
Julio ha ganado 90,36 soles en este mes.
Step-by-step explanation:
Tras una lectura cuidadosa del enunciado podemos inferir que por cada 5 soles destinados al gasto hay 3 soles destinados a ganancias. En lo respectivo a los gastos, la razon del componente restante, cuyo valor es de 150,60 soles, es:
[tex]r = 1 - \frac{3}{5}-\frac{1}{10}[/tex]
[tex]r = 1 - \frac{6}{10}-\frac{1}{10}[/tex]
[tex]r = \frac{3}{10}[/tex]
En otras palabras, el componente restante corresponde al 30 % del dinero destinado a gastos. Entonces, el dinero total destinado a gastos es:
[tex]x = \frac{150,60\,soles}{0.3}[/tex]
[tex]x = 502\,soles[/tex]
Sabiendo la razón existente, es decir, 5 soles para gastos por 3 soles para ganancias, obtenemos la ganancia obtenida por Julio en este mes por la siguiente regla de tres simple:
[tex]y = 150,60\,soles \times \frac{3\,soles}{5\,soles}[/tex]
[tex]y = 90,36\,soles[/tex]
Julio ha ganado 90,36 soles en este mes.
PLSS HELP
The distributions of heights of 1000 men and 1000 women selected at random from the population of a large metropolitan area are shown. Compare the heights of the men and women by comparing the mean and the spread of the data sets.
Answer:
I think it's 15 in. If wrong please let me know.
Please make brainliest if I'm right :)