Step-by-step explanation:
1.
a. true
b. false (the arc angles are relative to the center of the circle)
c. true (as the central angle of a circle is twice any inscribed angle subtended by the same arc)
d. true (but note that the arc angle of YE is again measured via the center of the circle and twice as large as the angle S)
2.
EGS is an isoceles triangle (that means both legs are equally long).
remember the extended Pythagoras for general triangles :
c² = a² + b² - 2ab×cos(C)
c being the side opposite of the angle C.
let's say c is our long baseline, since we have is opposite angle 124°, and a = b = GE = GS, we have
3.8² = a² + a² - 2aa×cos(124) = 2a² - 2a²×cos(124) =
= 2a²(1 - cos(124))
2a² = 3.8²/(1 - cos(124))
a² = 3.8²/(2(1 - cos(124)))
a = GS = sqrt(3.8²/(2(1 - cos(124)))) =
= 2.151883096... ≈ 2.2 cm
3.
circumference
16pi = 2pi×r
r = 8
area = pi×r² = pi×8² = 64pi
yes, the statement is true.
4.
a half-circle has 180°.
the arc angel AD is a full half-circle (because AD is a diameter), so it is 180°.
the angle ACB is the arc angle AB = 40°. so, the arc angle BD must be the rest of the 180° = 180 - 40 = 140°.
5.
diameter = 50 ft.
so, the radius or distance from the center to the circle arc is 50/2 = 25 ft.
the length of a chord is
c = 2×sqrt(r² - d²)
with r being the radius, d being the distance of the chord from the center.
40 = 2×sqrt(25² - d²)
20 = sqrt(625 - d²)
400 = 625 - d²
-225 = -d²
225 = d²
d = 15 cm
so, the distance of the chord from the center is 15 cm.
6.
the arc angles RE and TS are equal. that means the arc lengths of RE and TS are equal.
and that means the arc lengths of RS and ET are equal. the chords between 2 points on a circle must have the same length, when the arc lengths between these 2 points are the same.
7.
they are equally long.
as we saw in 5., the length of a chord depends on the radius of the circle and the distance of the chord from the center.
since both chords are in the same circle (with the same radius), and they both have the same distance from the center, they can only be equally long, as there is no other element to name them different.
8.
the angle NPE is half of the angle NAE (= the arc angle NE).
the arc angle NE = 63×2 = 126°
the angle PET is half of the angle PAT (= the arc angle PT).
the arc angle PT = 19×2 = 38°
the arcs NP and ET cover the rest of the whole circle circumference (360°).
so, arc angle NP + arc angle ET = 360 - 38 - 126 = 196°
but arc angles NP and ET must be equal (as per the problem definition).
therefore, 2 equal arc angles = 196°
1 arc angle = NP = 196/2 = 98°
What is the reason for statement 3 in the proof below?
Given: ABCD is a parallelogram
Prove:
Answer: Alternate interior angles theorem
Step-by-step explanation:
State if the two triangles are congruent. If they are, state how you know.
options:
Yes, by SAS
Yes, by SSA
Yes, by AAS
No, not enough information
Answer:
its SAS because u can look at the triangle by the sides and angle
Step-by-step explanation: mark brainliset
The usual price of a compact disc player was $200. At a sale, it was sold at a discount of 5%. What was the selling price
Answer:
It would be sold at 190$
Step-by-step explanation:
200x5/100 or 200 x 0.05
selling price of a toy is 2 times the cost price . when selling the toy the shopkeeper makes a profit or rs 20 . what is the cost price
Answer:
rs 20
Step-by-step explanation:
20=2x-x
20=x
cost price=x=rs20
selling price=2x=rs40
profit=rs20
Enter the correct answer in the box. Write your answer in the form y = mx + b, using the appropriate inequality symbol in place of the equal sign.
What inequality is shown in the graph?
Answer:
y ≥ -x - 4
Step-by-step explanation:
[tex]\sf let (x_1,y_1)=(-4,0)\\\\let (x_2,y_2)=(0,-4)[/tex]
[tex]\sf slope \ (m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-0}{0-(-4)}=-1[/tex]
Slope-point form of linear equation:
[tex]\sf \implies y-y_1=m(x-x_1)[/tex]
[tex]\sf \implies y-0=-1(x-(-4))[/tex]
[tex]\sf \implies y=-x-4[/tex]
For ≤ or ≥ graph a solid line
For < or > graph a dashed line
For shading above the line: y ≥ or y >
For shading below the line: y ≤ or y <
Therefore, as the line is solid and shading is above the line:
[tex]\sf y\geq -x-4[/tex]
Answer: y ≥ -x - 4
Step-by-step explanation:
Can someone help me please
Answer:
Option A
Step-by-step explanation:
To simplify this fraction:
We subtract the powers:
[tex]\frac{6^{3} }{6^{6} } = 6^{3-6}[/tex]
[tex]6^{-3}[/tex] = [tex]\frac{1}{6^{3} }[/tex] = 1/216
These answers I wrote in the last line are options B,C and D.
Therefore Option A is not equivalent.
3/16 x 6 in the simplest form
The fraction 9/8 is the simplest form of the given fraction.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
The fraction is given in the question, as follows:
3/16 x 6
We have to determine the evaluation of the given fraction
As per the question, we have
3/16 x 6
Apply the multiplication operation,
18/16
Reduce the above fraction into the simplest form, and we get
9/8
Thus, the fraction 9/8 is the simplest form of the given fraction.
Learn more about the fraction here:
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The volume, v, of a cylinder is equal to this area base, b, times it’s height h. if the diameter of the cylinder is 18 feet and it’s height is 2.9 feet, which expression represents v in cubic meters?
The volume of the cylinder in cubic meters is 20.886 m^3
How to get the volume?
We know that the volume is the area of the base times the height.
In this case, the diameter of the base is 18 ft, so the radius (half of that) is:
R = 18ft/2 = 9ft
Then the area of the base is:
B = 3.14*(9ft)^2 = 254.34 ft^2
And the height is 2.9 ft, then the volume is:
V = (2.9 ft)*254.34 ft^2 = 737.586 ft^3
Now, we know that:
1ft = 0.3048 m
if we cube both of these
1 ft^3 = (0.3048 m)^3 = 0.0283 m^3
Now we can change the unis of our volume:
V = 737.586 ft^3 = 737.586*0.0283 m^3 = 20.886 m^3
If you want to learn more about volumes, you can read:
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Ann is flipping a coin and rolling two dice. How many outcomes are possible?
Step-by-step explanation:
The coin can result in one of two possibilities. For each of those . . .
The cube has 6 possibilities.
Total possibilities for the coin and the cube = 2 x 6 = 12
I need help I have 1 hour left to do it, it’s French math so I need a bit of help
9/3 = ?
Answer:
3
Step-by-step explanation:
9/3 = 3
Answer:
The answer is 3.
Because 3x3 = 9
and 9 divided by 3 equals 3
Helpppp please
Arusha decides to build the prism using two cubes with edge lengths of 5 centimeters. She will partially fill the prism with 150 cubic centimeters of sand. What fraction of the prism's volume will bring filled by the sand? Show your work
Using the volume of the cube, it is found that the fraction of the prism's volume will bring filled by the sand is of [tex]\frac{3}{5}[/tex].
What is the volume of a cube?The volume of a cube of edge length l is given by:
V = l³.
In this problem, there are two cubes, each with edge length of l = 5 cm, hence, the total volume is given by:
V = 2 x l³ = 2 x (5 cm)³ = 250 cm³.
150 cm³ will be filled with sand, hence the fraction is given by:
[tex]\frac{150}{250} = \frac{15}{25} = \frac{3}{5}[/tex]
More can be learned about the volume of a cube at https://brainly.com/question/13030328
50 POINTS! PLEASE HELP ME! ILL GIVE BRAINLIEST!
2. Please complete both Parts A, B, & C below.
a. These triangles are proportional. Identify the corresponding sides for all three sides.
b. Set up fractions with your corresponding sides to show proportionality. Make sure to show your work for all three side pairs demonstrating that the fractions are proportional.
c. Are the triangles similar? If so explain why. If not, explain why not. Your work from Part A & B may help with this.
3 PARTS! Answer all or get deleted
Answer:
Step-by-step explanation:
a. These triangles are proportional. Identify the corresponding sides for all three sides.
40 AB------30 YZ
50 AC-------37.5 XY
60 BC---------45 XZ
b. Set up fractions with your corresponding sides to show proportionality. Make sure to show your work for all three side pairs demonstrating that the fractions are proportional.
Fraction: 3/4
40 x3/4 = 30
50 x 3/4 = 37.5
60 x 3/4 = 45
c. Are the triangles similar? If so explain why. If not, explain why not. Your work from Part A & B may help with this.
The triangles are similar
The Side-Side-Side Similarity Theorem states: “If all three corresponding sides of two triangles are proportional, then the triangles are similar".
Answer:
A. Sides AB, BC, and CA are proportional to YZ, ZX, and XY, respectively.
B. 3/4(AB) = YZ, 3/4(BC) = ZX, 3/4(CA) = XY
3/4 x 40 = 30 3/4 x 60 = 45 3/4 x 50 = 37.5
C. Yes, by SSS
Step-by-step explanation:
a. and b. are self-explanatory, but I will explain c.
When testing if two triangles are similar, they have to have the same except for scaling and flipping or turning. You know triangles are the same if all three sides are equal (SSS), two angles are equal (AA), or if there are two equal sides with an equal angle between them (SAS).
Since similar tringles can be scaled, these rules turn into if all three sides are proportional (SSS), two angles are equal (AA), or if there are two proportional sides with an equal angle between them (SAS).
These two triangles have proportional sides, so SSS applies and they are similar.
arrange in ascending order : 39, 31, 50, 18, 51, 63, 10, 34, 42, 89, 73, 11, 33, 31, 41, 25, 76, 13, 26, 23, 29, 30, 51, 91, 37, 64, 19, 86, 9, 20
Step-by-step explanation:
9, 10,11, 13,18,19,20,23,25,26,29,30,31,31,33,34,37,39,41,42,50,51,51,63,64,73,76,86,89,91
Answer:
9, 10, 11, 13, 18, 19, 20, 23, 25, 26, 29, 30, 31, 31, 33, 34, 37, 39, 41, 42, 50, 51, 51, 63, 64, 73, 76, 86, 89, 91
Ok i promise last question today guys number 24 and 26 pls ur reason for awnsering this correctly is bc ur gonna earn my 50 last points! Thank u hope its clear to read (dont mind my crusty fingers)
Which integer in the set has the greatest value (-144, -4, -3, -13)?
O A) -3
OB) -4
OC) -13
OD) -144
HELP PLS HURRY
A. -3
Hope it helps............
The greatest value in the set (-144, -4, -3, -13) is,
⇒ - 3
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The set is,
⇒ (-144, -4, -3, -13)
Now, By the given set we have;
⇒ - 144 < - 13 < - 4 < -3
Therefore, We have;
The greatest value in the set (-144, -4, -3, -13) is,
⇒ - 3
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a2 = 5 and d = 2. find a6
Problem 2
Write each expression as a multiple of a power of 10.
Expression
As a Multiple of a Power of 10
42300
2000
9200000
Four thousand
80 million
32 billion
Whoever does this quicker gets Brainly and stuff
Answer:
4.23 x 10 to the 4, 2 x 10 to the 3, 9.2 x 10 to the 6, 4 x 10 to the 3, 8 x 10 to the 7, and 3.2 x 10 to the 10.
Step-by-step explanation:
I will explain in the comments to this response
The Scientific notation of the number 42300 is 4.23×10⁴.
What is scientific notation?Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as 1.56×10⁷.
Here, 42300 in Scientific notation as 4.23×10⁴.
2000 in Scientific notation as 2×10³.
9200000 in Scientific notation as 9.2×10⁶.
42300 in Scientific notation as 4.23×10⁴.
4000 in Scientific notation as 4×10³.
80 million=80000000 in Scientific notation as 8×10⁷.
32 billion=32,000,000,000 in Scientific notation as 3.2×10¹⁰.
Therefore, the Scientific notation of the number 42300 is 4.23×10⁴.
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WILL GIVE BRAINLIEST The points Q(0,1), R(-9,-5), s(-7, -8), and T(2,-2) form rectangle QRST. Plot the points then click the "Graph Quadrilateral" button. Then find the area of the rectangle.
well, we know its a rectangle, so hmmm opposite sides are not just parallel but equal, hmmm so the area of this rectangle we can get by Length * Width, in this case that'll be QT * TS
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ Q(\stackrel{x_1}{0}~,~\stackrel{y_1}{1})\qquad T(\stackrel{x_2}{2}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ QT=\sqrt{[2 - 0]^2 + [-2 - 1]^2}\implies QT=\sqrt{2^2 + (-3)^2}\implies QT=\sqrt{13} \\\\[-0.35em] ~\dotfill[/tex]
[tex]T(\stackrel{x_1}{2}~,~\stackrel{y_1}{-2})\qquad S(\stackrel{x_2}{-7}~,~\stackrel{y_2}{-8})~\hfill TS=\sqrt{[-7 - 2]^2 + [-8 - (-2)]^2} \\\\\\ TS=\sqrt{(-9)^2 + (-8+2)^2}\implies TS=\sqrt{117} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the rectangle}}{\sqrt{13}\cdot \sqrt{117}\implies \sqrt{1521}\implies 39}[/tex]
The square root of 180 is
between which 2 integers?
Answer:
13 and 14.
Step-by-step explanation:
The square root of 180 is 13.416407865. Therefore, the two integers (or whole numbers) that it falls in between is 13 and 14.
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I hope this helps
-No one
In circle L, AD is 10 units long. Which of the following lengths are even numbers? Select all that apply.
(SEE ATTACHED PHOTO)
The chords in the circle L are illustrations of intersecting chords
The lengths that are even numbers are FJ and GJ
How to determine the even lengths?The length AD is given as:
AD = 10
From the circle, we have:
AD = AH + HK + KD
Where:
AH = 3 and KD = 2
So, we have:
10 = 3 + HK + 2
Solve for HK
HK = 5 ---- odd length
Next, we calculate length FH using the following intersecting chord theorem
FH * HB = AH * HD
This gives
(FJ + 3) * 3 = 3 * (2 + 5)
Divide by 3
FJ + 3 = 7
Subtract both sides by 3
FJ = 4 --- even length
Next, we calculate length KE using the following intersecting chord theorem
KE * KC = KD * KA
This gives
KE * 3.2 = 2 * (5 + 3)
Evaluate the product
KE * 3.2 = 16
Divide by 3.2
KE = 5 --- odd length
Next, we calculate length GJ using the following intersecting chord theorem
GJ * JE = FJ * JB
This gives
GJ * 4.5 = 4 * (6 + 3)
Evaluate the product
GJ * 4.5 = 36
Divide by 4.5
GJ = 8 --- even length
Hence, the lengths that are even numbers are FJ and GJ
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A local phone company offers a cell phone plan that has a fixed cost per month and a cost related to the number of text messages sent. The fixed cost is $20 and each message sent costs 10€. Represent the relation between the total cost and the number of text messages sent, as many different ways as you can.
Answer:
20 + 10(x) = total cost
Step-by-step explanation:
x represents the number of messages, so you multiply it by 10. 20 is a fixed number so you just add it without changing its value.
I need help please 15 points
What number is one hundred thousand less than one hundred
million?
Answer:
900,000
Explanation:
1 million is 10*100,000, so subtracting 100,000 from it is just like subtracting 1 from 10-- just much much larger numbers.
Answer:
99,900,000
Step-by-step explanation:
Less than ⇒ subtraction⇒ Subtract 100,000 from 100,000,000⇒ 100,000,000 - 100,000⇒ 99,900,00030 points!!!!
- Part A: Explain why x = 5 makes 4x - 13 19 true but not 4x -1 < 19. (5 points)
Part B: What value from the set (6,7,8,9,10} makes the equation 5x + 2 = 47 true? Show your work (5 points)
Answer:
Part A is ≤ means less than OR equal to. < only means less than
Part B is 9
Step-by-step explanation:
A: Because it would equal 19, and 19 is equal than 19. 4(5) - 1 would equal 19, which is equal to 19, and not less than. ≤ means less than or equal to. < means less than. So its not true.
B: 47 - 2, 45. Then 5 x 9 equals 45. So 5 x 9 equals 45, then add 2 would equal 47.
the diameter of a circle is 12 kilometers. What is the length of a 60 degree arc?
Answer:
Step-by-step explanation:
Drag and drop the answer in the box to correctly complete the sentence.
A probability close to 1 indicates a chance event is ______ occur.
A: very likely to
B: not likely to
C: equally likely and unlikely to
D: not going to
E: going to
Multiplying a number by 3 is equal to sum of the number and 5.
Answer:
this makes no sense
Step-by-step explanation:
The number that when multiplied by 3, equals the sum of the number and 5 is 2.5.
How can we solve for 2.5?First assume that the number we are looking for is x.
One side of the equation will be:
= 3 × x
= 3x
The other side of the equation would be:
= 5 + x
Equating these numbers gives:
3x = 5+ x
3x - x = 5
2x = 5
x = 5/ 2
x = 2.5
In conclusion, the number is 2.5.
Find out more on operations involving solving for numbers at https://brainly.com/question/18897826.
Please help me with this question
And I will give you stars. (-:
Please include full explanation and working. Thank you! :-)
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
Total Mini - Easter eggs = 1345
Number of students = 26
So, let's find how many eggs will each student get through division ~
[tex]\qquad \tt \dashrightarrow \: \dfrac{1345}{26} = 51 +remainder= 19[/tex]
So, each student will get 51 mini - Easter egg each.
And there would be 19 remaining eggs in there ~
Carmella just planted seeds for her vegetable garden. Anxious to view the progress of her plants, she checks her garden one afternoon, but sees that 4 weeds she has never seen before are growing in her vegetable garden. After a few weeks, she notices that the number of weeds appears to be tripling each week. If she doesn’t do something, she calculates that there could soon be 972 weeds in her garden. If represents the number of weeks, which equation could be used to determine what week Carmella would expect to find 972 weeds in her garden
Answer: 4(3)^w = 972
Pls help me
This figure represents a flower box.
How much soil will it take to fill the flower box?
Enter your answer in the box.
Answer:
2200
Step-by-step explanation:
i think thats the answer, i tried to do the math
Answer:
2200in^3
Step-by-step explanation:
We can split this graph into cuboids and cubes.
(5+20)×9×8=1800in^3
5×10×8=400in^3
1800+400=2200in^3