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Related Questions
Brook makes this conjecture: Because the angles are equal, the proportion of area of each sector relative to the area of the given circle is also equal.
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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.
Pleas help will give brainliest
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Answer:
8 steps can be cut
Step-by-step explanation:
20 ÷ 2.5 = 8
URGENT PLEASE HELPPPP!!! THANK YOU
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Answer:
the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values.
If the x-coordinate of our vertex is 3, who are the "downtown" neighbors (on his left)?
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Answer:
Step-by-step explanation:
(-4,-1), (4, 5)
What’s the slope
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Answer: m = 3/4
Step-by-step explanation:
Answer: The slope is 3/4
Step-by-step explanation:
Use y2-y1/x2-x1 to find it
What is the BEST word to describe the probability that the spinner will stop on 1 or 2? A) certain B) unlikely C) impossible D) very likely
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Answer:
very likely
Step-by-step explanation:
Find m
86
W
X
•
N
156
Y
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Given:
A circle with center Z and the points W, X, Y are on the circumference of the circle.
To find:
The measure of angle WXY.
Solution:
From the given figure, we get
[tex]Arc(XY)=156^\circ[/tex]
[tex]Arc(WX)=86^\circ[/tex]
The measure of arc of the complete circle is 360 degrees.
[tex]Arc(WX)+Arc(XY)+Arc(WY)=360^\circ[/tex]
[tex]86^\circ+156^\circ+Arc(WY)=360^\circ[/tex]
[tex]Arc(WY)=360^\circ-86^\circ-156^\circ[/tex]
[tex]Arc(WY)=118^\circ[/tex]
The measure of arc WY is 118 degrees. It means the central angle on this arc is also 118 degrees.
[tex]m\angle WZY=118^\circ[/tex]
According to the central angle theorem, the inscribed angle on an arc is always half of its central angle.
[tex]m\angle WXY=\dfrac{m\angle WZY}{2}[/tex]
[tex]m\angle WXY=\dfrac{118^\circ}{2}[/tex]
[tex]m\angle WXY=59^\circ[/tex]
Therefore, the correct option is A.
In the graph shown below, if lines land 12 are parallel, then the slope of line 12 is
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9514 1404 393
Answer:
4
Step-by-step explanation:
The slope of L1 is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (5 -1)/(-2 -(-3)) = 4/1 = 4
The slope of L2 is the same as the slope of L1. The slope is 4.
A 20-foot ladder leans against a wall, making a 70° angle with the ground. To the nearest tenth of a foot, how far up the wall will the ladder reach? 6.8 6.9 I 3) 18.7 18.8
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Answer:
4) 18.8
Step-by-step explanation:
What we are trying to find is the opposite of the triangle with the angle and the hypotenuse. The equation for that is sin(degrees) = opp/hyp
the degrees is 70, the opposite is x, and the hypotenuse is 20
sin(70) = x/20
0.93969262078 = x/20
18.7938524 = x
18.7938524 rounds to 18.8 so the answer is 4
first answer gets brainliest
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We can solve for the missing side length, <B, and from those find the side lengths in comparison to the others.
Using the Law of triangles, we can find angle B from 180-63-50=67
From the angle lengths, the greatest's opposing side lengths will also be of the same varying length. The greatest angle length is <B, then <A, and <C. This means that the order of side lengths would be AC, BC, AB
-6(g+4) < 12 solve the 2 step inequality
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Answer:
g > -6
Step-by-step explanation:
-6(g+4) < 12 (Given)
-6g - 24 < 12 (Distributive Property of Inequality)
-6g < 36 (Addition Property of Inequality)
g > -6 (Division Property of Inequality)
Sign Changes Since it was divided by a Negative number.
What is the difference of (2x ^ 2 - 5x + 1) and (10x ^ 2 + 4x - 8)
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Answer:
-8x² - 9x + 9
Step-by-step explanation:
(2x² - 5x + 1) - (10x² + 4x - 8)
2x² - 5x + 1 - 10x² - 4x + 8
2x² - 10x² - 5x - 4x + 1 + 8
-8x² - 9x + 9
What is the median of this group of numbers?
46, 48, 48, 54, 56, 58, 80
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Avery has two horses: Salt and Pepper. Every month, Salt eats 450 pounds of hay. Pepper is bigger, so he eats 550 pounds of hay each month. How many tons of hay do Salt and Pepper eat in a year?
Please help
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Answer:
3.3 for pepper and 2.7 for salt which is 6 tons in total
Step-by-step explanation:
The number of tons of hay both Salt and Pepper eat in a year is 5.5 tons.
Given that, every month, Salt eats 450 pounds of hay. Pepper is bigger, so he eats 550 pounds of hay each month.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Number of pounds of hay eaten by Salt in a year
= 450 × 12
= 5400 pounds
Number of pounds of hay eaten by Pepper in a year
= 550 × 12
= 6600 pounds
Total pounds of hay eaten by both the horses = 5400+6600
= 11000 pounds
In tons = 11000/2000
= 5.5 tons
Therefore, the number of tons of hay both Salt and Pepper eat in a year is 5.5 tons.
To learn more about the unitary method visit:
brainly.com/question/22056199.
#SPJ2
what is the best first step in solving the equation
3x^2+8x=-5
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Water flows through a pipe at a rate of 91 fluid ounces every 2.5 weeks. Express this rate of flow in cups per hour. Round your answer to the nearest hundredth.
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Answer:
The answer is "[tex]0.22\ \frac{\ fl \ oz}{\ hours}\\\\[/tex]"
Step-by-step explanation:
rate[tex]=\frac{91 \ fl oz}{2.5 \ weeks}\\\\[/tex]
Requird
Calculating the rate as per hour:
[tex]rate=\frac{91 \ fl oz}{2.5 \ weeks}\\\\[/tex]
there are 168 hoours in week so the ate becomes
[tex]rate=\frac{91 \ fl oz}{2.5 \times 168 \ hours}\\\\[/tex]
[tex]=\frac{91 \ fl oz}{420 \ hours}\\\\= 0.2167 \ \frac{\ fl \ oz}{\ hours}\\\\[/tex]
[tex]=0.22 \ \ \frac{\ fl \ oz}{\ hours}\\\\[/tex]
NEED HELP WHAT IS THE ANSWER TO THIS QUESTION !!??!!? I REALLY BAD AT MATH
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Answer:
Your answer would be c
hope this helped
When Sophia's mom picks her up from
school, she is late one third of the time. For
the next 15 days, what is the probability
that she will be late at most three days?
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Answer:
20.92 %.
Step-by-step explanation:
Add the individual probability of 0, 1, 2, and 3 late days out of 15
P(0 days) = (2/3)15 Notice that I have made P the probability of NOT being late.
P(1 day) = 15(2/3)14(1/3)
Hope this helps!
what is .175 as a fraction
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Answer:
175/1000
Step-by-step explanation:
The last number of .175 is in the thousandth place, therefore, the denominator must be 1000, and .175, is 175/1000 of 1000.
If you want to simplify it all the way it would be 7/40.
Very easy answer but does any one know what C is
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Answer:
Step-by-step explanation:
they want you to recognize that it's a linear relationship
Help me please!!!!!!!!!!!!!!!!
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Answer:
X=5
Step-by-step explanation:
3x+4=5x-6
3x+10=5x
10=2x
5=x
since SALE is a parallelogram, opposite sides are congruent.
solve for x
3x+4=5x-6
-2x+4=-6
-2x=-10
x=5
1. Mervin Moneybags went on a spending spree today. He spent half of his money on à Slammy So-so baseball card. He spent $50 on a pair of puppies. And he blew his last $25 om abroken bike. How much money did. Mervin spend today?
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Answer:
$150
Step-by-step explanation:
50+25=75
since he spent another half 75 is the other half
so 75+75
150
Find the missing side lengths of this triangle.
Need help , please???
Answers
y=6
To find hypotenuse of 45-45-90 triangle you multiply a leg time radical 2
Right triangle are isosceles so the leg are equal.
This pattern follows the add 10 rule. What other features do you observe? 7, 17, 27, 37, 47, 57
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Answer:
Only odd numbers are existed.
Clara goes miniature golfing. She pays $7.50 for an admission ticket and $6.25 for each round she golfs. The total amount Clara pays for admission and the number of rounds she golfs is $26.25. Which equation can be used to determine the number of rounds, x, that Clara golfs? (7.EE.4a)
a.
6.25x + 7.50 = 26.25
b. 6.25x − 7.50 = 26.25
c. 7.50x + 6.25 = 26.25
d. 7.50x − 6.250 = 26.25
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Answer:
A
Step-by-step explanation:
You pay for each round a ticket so the variable will be with 6.25
Find the measure of the exterior angle.
64°
76°
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Answer:
you can figure out the exterior angle if you add the two angles that are not touching it
Step-by-step explanation:
so 64 + 76 = 140
K=140
What shape results from a plane passing through a cone at a 45 degree angle to the base?
A)Ellipse
B) circle
C)Parabola
D) Square
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“What is the minimum value of the function: x^2+24x-18? Show your work.”
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Answer:
-162
Step-by-step explanation:
x²+24x-18=x²+24x+12²-12²-18=(x+12)²-162
(x+12)²≥0
(x+12)²-162≥-162
⇒ the minimum value of the function is -162
what is the all time low temperature in pennsylvania is this a statistical question
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Answer:
The lowest temperature ever recorded in Pennsylvania, −42 °F (−41 °C), was at Smethport on January 5, 1904. Yes this is a statistical question.
Step-by-step explanation:
A statistical question is a question that can be answered by collecting data that vary. For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question. So if you collect data from Pennsylvania's weather over the years you will find that the lowest temperature EVER RECORDED in Pennsylvania was −42 °F (−41 °C), at Smethport on January 5, 1904. Oh and one last thing..."WHY DO ALL THE MONSTERS COME OUT AT NIGHT WHY DO WE SLEEP OFF WHAT WE WANT TO HIDE WHY DO I RUN BACK TO LIKE I DON'T MIND IF YOU RUIN MY LIFE!" -Monsters by All Time Low....it just popped into my head bc your question said All Time Low lol Byeee~!
in a class where a number of girls is 36% of the total number there are 48 boys how many students are there in the class
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Step-by-step explanation:
girls=36%
boys=100%-36%
=64%
boys:48=64%
?=100%
*you cross multiply to get
75 as the total students