Answer:
The Brooks conjecture is true as the proportion of the area of a sector to the area of a circle is only dependent on the angle.
Step-by-step explanation:
The area of a sector for a radius r and an angle θ is given as
[tex]\Delta Sector=\dfrac{1}{2}r^2\theta[/tex]
Whereas the area of a circle for a radius r is given as
[tex]\Delta Circle=\pi r^2[/tex]
Now the ratio is given as
[tex]\dfrac{\Delta Sector}{\Delta Circle}=\dfrac{\dfrac{1}{2}r^2\theta}{\pi r^2}[/tex]
Here as r is the radius of the circle and it is the same therefore the above ratio is simplified to
[tex]\dfrac{\Delta Sector}{\Delta Circle}=\dfrac{\theta}{2\pi }[/tex]
Here as π is constant the only variable here is θ. Thus according to Brooks conjecture when the angles are equal, the proportion of area of each sector relative to the area of the given circle is also equal is true.
Examine the quadratic equation 9x^2+12x +4= 0.
A: What is the discriminant of the quadratic equation?
B: Based on the discriminant, how many roots does the equation have?
C: State whether the root(s) are real or complex.
Answer:
See answers and explanations
Step-by-step explanation:
A) Discriminant = b² - 4ac = (12)² - 4(9)(4) = 144 - 144 = 0
B) Since the discriminant is 0, this means the equation only has one root.
C) The root is real in this case since the discriminant is not negative. Otherwise, we would have two imaginary roots if it were (remember that complex roots come in pairs)
PLEASE SOMEONE HELP ME RN MATH
Answer:
Sure but what's the math problem?
Answer:
where is the pic??
Write 10x² + 3x -2=-1 in the form a(x+h)²+k clearly stating
the turning point or vertex.
Y intercept
The roots of the equation
Answer:
Below in bold.
Step-by-step explanation:
10x² + 3x -2 = -1
10x^2 + 3x - 1 = 0 Taking 10 out from the first 2 terms:-
10(x^2 + 0.3) - 1 = 0 Completing the square:
10[(x + 0.15)^2 - 0.15^2] - 1 = 0
10[(x + 0.15)^2 - 0.0225] - 1 = 0
10(x + 0.15)^2 - 0.225 - 1 = 0
10(x + 0.15)^2 - 1.225 = 0 is vertex form.
The vertex (turning point is at (-0.15, -1.225).
y- intercept is at the point where x = 0,
- that is at y = 10(0.15)^2 - 1.225 = -1
So at (0, -1).
Solving for x:
10(x + 0.15)^2 - 1.225 = 0
(x + 0.15)^2 = 0.1225
x + 0.15 = +/- sqrt 0.1225
x = -0.15 +/- sqrt 0.1225
The roots are -0.5, 0.2
(ASAPPPPPP)The diameter of a circle is 4 units.
What is the radius of the circle?
units
I
you are building a rectangular deck the area of the deck should be 250 ft2 you want the length of the deck to be 5 feet longer than twice its width what should the dimensions of the deck be
Answer:
500 feet brainliest please
Step-by-step explanation:
Marco mixed 2 teaspoons of sugar and 1 teaspoon of milk into his coffee. What is the ratio of teaspoons of sugar
to teaspoons of milk?
A. 2 : 1
B. 1 : 2
C. 1 : 3
D 3 : 2
Answer:
A..................... is answer
The correct answer is: A. 2 : 1
a parallelogram has one side that is 4 centimeters long and one side that is 6 centimeters long. what is the perimeter of the parallelogram? (also i’ll be giving out brainiest to those who provide the correct answer and don’t leave a link)
Answer:
P = 20 cm
Step-by-step explanation:
The appropriate formula is P = 2W + 2L.
Here that comes to P = 2(6 cm) + 2(4 cm) = 20 cm
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
D
Step-by-step explanation:
Answer:
the answer is d
Step-by-step explanation:
we can use point-slope form to find this answer.
first, make this equation
y-y 1=m(x-x1)
y-4=-6(x-1)
m=-6 because you can use slope intercept form to find the slope (as the name states lol)
then just distribute!!
y-4=-6x+6
add four to both sides
y=-6x+10
whoops, i did a little too much the answer is in bold!!!
good luck!! hope this helped! <3
hurry pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Help, please! I want to finish this last quarter good or I may get kicked out. Thank you!!
(((4\sqrt(2) - 2 \sqrt(6)) - (\sqrt(2)- \sqrt(6) )))/(\sqrt(3)-1)
Answer:
thx for points
Someone please help this is due soon
Answer:
Step-by-step explanation:
the picture is telling us that the angles Q and R are equal so set them equal
9x-17 = 4x + 28
5x = 45
x = 9
What is the area of the figure?
A. 48
B. 84
C. 66
D. 72
Answer:
D
Step-by-step explanation:
5 x 8 = 40
2 x 2 = 4
4 x 7 = 28
40 + 4 + 28 = 72
Please help me!! I need this answered really quick
Answer:
Perimeter = 4x + 18
Step-by-step explanation:
{(x + 3) + (x + 3) + [(x + 3) -x]} × 2 = (2x + 6 + 3) × 2 = 4x + 18
[( width ) + ( length )] × 2
Debbie borrows $45, and then pays $5 back each week. She currently owes $20. What will the variable stand for?
Answer:
The variable would stand for the number of weeks that she has left to pay.
Answer: 12
Step-by-step explanation:
3. Mrs. Sinclair is finding the selling price of a pair of $40
skates with a 30% markup. Find her mistakes and correct it.
Answer:
Selling price : $52
Step-by-step explanation:
First, find 30% out of 40.
x= (40)(30)=1200/ 100= 12
x=12
Add 30% to the original selling price.
So then you add $12 to $40 to get $52.
please answer quick I’ll mark you brainliest pls the quarter ends at 12:00
Answer:
46/100
Step-by-step explanation:
also what grade is this
∠C and \angle{D}∠D are vertical angles. If the m\angle{C} m∠C=66o, then what is the m\angle{D} m∠D ?
Answer:
The measure of angle D is of 66º.
Step-by-step explanation:
Vertical Angles:
If two angles are vertical, they have the same measure.
In this question:
Angles C and D are vertical.
Angle C measures 66º.
So the measure of angle D is of 66º.
1_4/5 + 2_1/10 pls help
Answer:
3.9
Step-by-step explanation:
please mark this answer as brainliest
Geometry help please. What is J? What is G?
Answer:
j = 32
g = 78
Step-by-step explanation:
because they are similar you can use CPCTC corresponding parts of congruent triangles are congruent to determine f = j and h = g
A plane travels a distance of 21,000 kn in a time of 3.2 hours what is its average speed rounded to the nearest whole number
Answer:
6563kmph
Step-by-step explanation:
take 21,000 divided by 3.2 hours to get the speed
21,000/3.2 = 6562.5
It says to round 6562.5 to the nearest whole number so its 6563
Please help asap. No links for a answer or I will report you
8th Grade
Answer:
B
Step-by-step explanation:
A linear function is described by a x term to the power of 1 or even 0. A function when x is to the second power is most usually not a linear function.
In answer A, you have x multiplied against -3x. This will cause an x squared term, so this is not a linear function.
In answer B, you have 1/2 multiplied against x, which is a regular x term subtracted by 2x, causing a regular x term, meaning this function is linear. However, in the small possibility it is not, we will keep going.
In answer C, there is an x squared term so this is not linear.
In answer D, the expression has 1/2x times 2x, which will cause an x squared term.
Thus, the answer is B, which is the only equation without an x squared term.
A 3 digit number is such that twice the hundreds digit is more than the tens digit by 2.The digit is thrice the hundreds digit.When the digits are reversed, the number is increased by 594.Find the number.
Answer:
The number is -341
Step-by-step explanation:
Let the three digit number be represented as 100a+10b+c
Given
2a -b = 2 ---(1)
a = 3c ----(2)
100a+10b+c - 100c -10b -a = 594
99a -99c = 594 ---(3)
From 2 & 3 , we get -
99*a - (99*3*a) = 594
99*2 a = 594
a = -3
a = 3c, c = -1
2*-3 -b = 2, b = -4
Number is -341
if p is inversely proportional to the square of q, and p is 9 when q is 5, determine p when q is equal to 3
Answer: tell me if i am wrong
p = 304
Step-by-step explanation:
Given p is inversely proportional to q² then the equation relating them is
p = [tex]\frac{k}{q^{2} }[/tex] ← k is the constant of proportion
To find k use the condition p = 19 when q is 8, then
19 = [tex]\frac{k}{8^{2} }[/tex] =[tex]\frac{k}{64}[/tex] ( multiply both sides by 64 )
k = 1216
p = [tex]\frac{1216}{q^{2} }[/tex] ← equation of proportion
When q = 2, then
p = [tex]\frac{1216}{2^{2} }[/tex]=[tex]\frac{1216}{4}[/tex]=304
Olivia used colored ribbon for a craft project. She used 1/6 of a yard of green, 1/3of a yard of red, and 1/4 of a yard of yellow. Which ribbon is the longest? *
Answer: Red ribbon.
Step-by-step explanation:
When it comes to fractions, if all the fractions being compared have the same numerator, the fraction with the smallest denominator is the largest.
In this question, all the fractions have a numerator of 1 so the longest one will be the one with the smallest denominator which is 1/3. The red ribbon is the longest.
Another way is to convert them to percentages:
1/6 * 100% = 16.7%
1/3 * 100% = 33.3%
1/4 * 100% = 25%
Red ribbon is again the largest.
Please help me asap. No links or I will report you
8th Grade
Answer:
D. square root of 7 to the power of 3
R. b=6/8
Solve using the quadratic equation.
[tex]3x^{2} -6x-24[/tex]
Solution 1: ___
Solution 2: ___
Answer:
X = 4
X = -2
Step-by-step explanation:
Rate And Like. Salute.
The radius of a circle is 6 miles. What is the circle's area? use 3.14 for .
Answer:
113.04
Step-by-step explanation:
A=Pr^2
6^2=36
36 * 3.14=113.04
Hope it helps.
If triangle ABC is dilated by a scale factor of 2 with a dilation center of A, what will be the coordinates of point B?
Answer:
0,6
Step-by-step explanation:
I hope this helps lol
How to solve for P in a compound interest formula?
Calculation. Formula.
P (1 + r/n)^(nt)
Calculate accrued amount. Principal + Interest. A = P(1 + r)t
Calculate principal amount. Solve for P in terms of A. P = A / (1 + r)t
Calculate principal amount. Solve for P in terms of I. ...
Calculate rate of interest. As a decimal. ...
Calculate rate of interest. As a percent. ...
Calculate time. Solve for t.
The solution for P (Principal amount) in a compound interest Formula is; P = A/(1+ r)^t.
Changing the Subject of a formulaBy convention, the formula for calculating the compound interest is;
A = P(1 + r)^tOn this note, it follows that; the principal amount, P can be calculated by dividing both sides of the equation by the expression; (1+ r)^t.
Ultimately, the solution for P is; P = A/(1+ r)^t.
Read more on subject of the formula;
https://brainly.com/question/24924853