Answer:
The radius, r ≈ 6.55 m
Step-by-step explanation:
The given parameters are;
An inscribed hexagon in a circle
The area of the hexagon = Area of the circle - 24 m²
The formula for the area of the circle = π·r² = π × r²
The area of each of the six equilateral triangle in the hexagon = √3/4 × r²
Where;
r = The radius of the circle
The area of a sector of a circle in which the equilateral triangle is inscribed = 60/360×π·r² = 1/6×π·r² = 1/6 × Area of the circle
Given that the sector of the circle in which one of the six equilateral triangles of the hexagon is inscribed is 1/6 the area of the circle, the difference in area between the equilateral triangle and the sector = 24/6 = 4
Therefore, the difference in the area between the sector of the circle and the area of the equilateral triangle = 4 m²
We then write; 1/6×π·r²- √3/4 × r² = 4
r²·(1/6×π- √3/4) = 4
r² = 4/(1/6 ×π - √3/4) = 48/(2·π -3·√3)
r = √(48/(2·π -3·√3) = 6.55 m to 2 decimal places
The radius, r ≈ 6.55 m.
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
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
#SPJ2
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
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
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.
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
During a rainstorm, the water level of the “Big Pond” 2/3 rose ft. Then it rose 4/5 another ft.
How much did it rise in all?
Answer:
1 7/15 feet
Step-by-step explanation:
2/3 + 4/5
10/15 + 12/15
22/15
1 7/15
In finding the solution of the equation 5-3x=2x+9, 3x is added to both sides of the equation first. Which of the following should be done next?
A. add -9
B. add -5
C. add =2x
Answer:
A add -9
Step-by-step explanation:
After this you should add -9 to bring it over to the left side.
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
what are the intercepts of 3x -4y=-24
Answer:
desmos
Step-by-step explanation:
look up desmos. its a grphing calculator and it gives u all the awnsers. welcome bro
Answer:
Y - intercept is -4
X - intercept is 3
x, and y are both variables that stand for the intercepts in the equation, if that makes sense.
Hope that helps and have a great day!
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
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 = ?
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
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)
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.
Find the error and explain what the correct step should be
Answer:
m = 12, the error was that the student did not divide both sides by -. so they got the incorrect answer
Step-by-step explanation:
okay, so you want to get m
because m is divided by 3, to counter it, you multiply both sides by three
-m/3 = -4
-m/3 times 3 =-4 times 3
because 1/3 times 3 =1, and -4 times 3 = -12, you get
-m = -12
then, divide both sides by - (because you want positive m)
and you get m = 12
the error was that the student did not divide by the negative, so in the end, their sign was wrong.
help me .........................................................
Answer:
d
Step-by-step explanation:
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 :)
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.
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.
please help for 20 points
The answer will be 5.9°Fahrenheit
3a-3(b-c)if a=1 b=3 c=-4
Answer:
3(1) _3 (3_4)
3_3 (1)
3_3
0
What is the scale factor 
what is 1111 * 1111?
it is my favorite math problem and 1111 is satisfying to say in chinese
Answer:
1,234,321
Step-by-step explanation:
1111 × 1111 = 1,234,321I hope this helps!
HELP find angle relationships(picture included)
Answer:
1. <I and <J are vertical angles
2. <G and <H form supplemantary angles
3. <G and <C are corresponding angles
4. <G and <F are alternate interiors
5. <I and <D are alternate exteriors
Please help me :( no ones helping me :( pls show how you got it too :( thank you ill give you all my points 30 points
Answer:
1. a. 110
because 5 less than 35 is 30 and 5 less than 10 is 5. it would only make sense for 5 less than 110 is 105
7. D. 54
every other number in the equation is one less (8,7,6,5)
and inbetween those the number is multiplied by 3 (2×3=6, 6×3=18) so then 18×3 =54
the middle left. D. 27
every other one is multiplied by 2 (2×2=4, 4×2=8, 8×2=16) but the first one is multiplied by 3. (1×3=3 3×3=9 9×3=27 27×3=81)
11. A.11
it adds 6 every other (17+6=23, 23+6=29)
for every other first one it adds 4. (7+4=11, 11+4=15, 15+4=19)
12. D. 18
for every other it adds 2.(4+2=6, 6+2=8)
for every other second it adds 6. (6+6=12, 12+6=18, 18+6=24)
15. D. 49
for every other it subtracts 6 (67-6=61, 61-6=55, 55-6=49)
the every other second it divides in half. (32÷2=16, 16÷2=8, 8÷2=4)
18. D. 17
for every other it adds 2.(13+2=15, 15+2=17, 17+2=19)
for every other second it subtracts 2. (21-2=19, 19-2=17, 17-2=15)
Step-by-step explanation:
im pretty sure these are correct, i hope this helps
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:
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
The area of a square garden is 49 ft^2. How long is each side of the garden?
Answer:
7
Step-by-step explanation:
Answer:
I think the answer is 7.
Step-by-step explanation: