The value of minor arc, major arc and central angles given below:
What is an arc?An arc measure is an angle the arc makes at the center of a circle, whereas the arc length is the span along the arc.
Given: BOF= 126
angle BOF= angle COE= 126 (Vertically opposite angle)
Now,
angle BOF + angle BOC= 180 (Linear pair)
BOC=180-126= 54
and, COE= COD+ DOE
= COD+COD
126 =2COD
COD= 63
now, BOD= BOC++COD
= 54+63
= 117
Arc length of BCD= 87/360*2πr
= 2.041r
2. minor arc:
arc BF= 126/360* 2πr
= 2.198r
arc FE= 54/360*2πr
= 0.942r
arc DE= 63/360*2πr
= 1.099r
arc CD= 63/360*2πr= 1.099r
arc CDE=126/360*2πr
= 2.198 r
3. major arc
arc BFED= 243/360*2πr
= 4.239r
arc FBCD= 243/360*2πr
= 4.239r
arc DCBFE= 297/360*2πr
= 5.181r
arc CBFE= 234/360*2πr
= 4.082r
4. 6 central angles
BOC= 54= FOE
COD=63=DOE
BOF=126
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If a circular playground has an area of 144 m2. What is the diameter of the playground?
Answer:
The diameter is about 13.55m
Step-by-step explanation:
Calculator
Use f(x)=x^2+4x-12 Does the graph of a function open upward or downward?
Answer:
Upward
Step-by-step explanation:
Because of the positive leading coefficient, the graph of the function will open upwards, being a parabola.
fully factorize
6xy-2x+3z-9zy
Answer:
(2x−3z)(3y−1)
Step-by-step explanation:
6xy-2x+3z-9zy
2x(2xy-1)+3z-9zy
2x(-1+3y)+3z(1-3y)
(2x−3z)(3y−1)
Factorize algebraic expressions by pulling out highest commom factor.
10x - 15y
Answer:
5(2x-3y)
Step-by-step explanation:
10x-15y
=(5)(2x)-(5)(3y)
=5(2x-3y)
kyle is pulled back on a swing so that the rope forms an angle of 30 degress with the vertical the distance from the top of the swing set directly to the ground is 12 feet find kyles height off the ground
Answer:
12 ft - 2 ft = 10 ft
The rope is 10 feet long.
10 · cos 30° = 10 · √3 / 2 = 8.66 ft
x = 12 - 8.66 = 3.34 ft
Answer:
A ) 3.34 feet
b) Your father uses text messaging to communicate with his employees. If he sends an
average of 19 text messages each day, how many more text messages does he
send than you? Write an equation and solve for the unknown value. (2 points)
Answer:
father sends 7 more
19-12=7
rose is making trail mix bags for her hiking club. she will use 20 ounces of walnuts, 11.1 ounces of almonds, and 15.4 ounces of cashews. this amount makes 25 bags of trail mix. how many ounces are in each bag? (please have explanation and answer)
Answer: 1.86 oz. per bag
Step-by-step explanation: First we add the amount of ounces from each ingredient. 20+11.1+15.4 = 46.5
Then we divide by 25 to find out how many ounces per bag. 46.5/25=1.86
Answer:
2.15 ounces
Step-by-step explanation:
The total ounces of nuts in the bag is calculated as:
20 ounces of walnuts + 11.1 ounces of almonds + 24.8 ounces of cashews = 55.9 ounces.
From the question we are told that these amounts make 26 bags.
The number of ounces that are in each bag is calculated as:
26 bags = 55.9 ounces
1 bag = x ounces
Cross Multiply
26 bags × x ounces = 1 bag × 55.9 ounces
x ounces = 1 bag × 55.9 ounces/26 bags
x ounces = 2.15 ounces
Therefore, there are 1.94 ounces in each bag
The ordered pairs in this table lie in the graph of a linear function. Which equation represents the same linear function?
X Y
4 11
0 -1
-2 -7
-5 -16
A. y = x + 2
B. y = 3x – 1
C. y = 3x
D. y = x – 3
The linear equation that represent the pair of points (0, -1) and (4, 11) is y = 3x - 1
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
From the table, using the point (0, -1) and (4, 11), hence:
y - (-1) = [(11 - (-1))/(4 - 0)](x - 0)
y = 3x - 1
The linear equation that represent the pair of points (0, -1) and (4, 11) is y = 3x - 1
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Answer: B
Step-by-step explanation:
Boyle's Law says that the volume of a gas varies Inversely with the pressure. When the volume of a certain gas is 2 L, the pressure is 290 kPa (kilopascals).
What is the pressure when the volume is 5 L?
Dalia has a jar with 6 red pencils and 4 green pencils. She will randomly pick two pencils without replacement. What is the probability that Dalia will pick two red pencils?
6/25
1/3
9/25
2/5
Im a bit confused on this type of probability so I would love an explanation so I can figure out the answer for myself
Answer:
1/3
Step-by-step explanation:
i have attached a tree diagram to help with your understanding, first branches show probability of picking either green or red the first time she picks one. The next set of branches show the updated probabilities after one pencil has been taken out.
Find the area of a trapezoid with bases of 10 inches and a height of 5 inches?
Answer:
50in^2
Step-by-step explanation:
[tex]A=\frac{a+b}{2}(h)\\ \frac{10+10}{2}(5)[/tex]
Someone help me find the length of ST please!
Answer:
10
Step-by-step explanation:
I calculated and it's 10 I'm in car so I can't give the whole explanation
In a sale, the normal price of a bicycle is reduced by 35%.
The sale price of the bicycle is £585
Work out the normal price of the bicycle.
What is more than 11 but less than 12?
Answer:
136
Step-by-step explanation:
Answer:
There are infinite numbers that fit this range, but one is 11.5
Which statements are true? check all that apply. the total possible outcomes can be found using 52c5. the total possible outcomes can be found using 52p5. the probability of choosing two diamonds and three hearts is 0.089. the probability of choosing five spades is roughly 0.05 the probability of choosing five clubs is roughly 0.0005.
A deck of playing cards has four suits, with thirteen cards in each suit consisting of the numbers 2 through 10, a jack, a queen, a king, and an ace. The true statements about the cards are
The total possible outcomes can be found using 52C5. The probability of choosing five clubs is roughly 0.0005. What is Probability?Generally, Probability is simply defined as the position or attribute of being likely.
In conclusion, The accurate assertions are: The total number of potential outcomes may be calculated using 52C5, and the chance of selecting five clubs is around 0.0005.
CQ
A deck of playing cards has four suits, with thirteen cards in each suit consisting of the numbers 2 through 10, a jack, a queen, a king, and an ace. The four suits are hearts, diamonds, spades, and clubs. A hand of five cards will be chosen at random. Which statements are true? Check all that apply. The total possible outcomes can be found using 52C5. The total possible outcomes can be found using 52P5. The probability of choosing two diamonds and three hearts is 0.089. The probability of choosing five spades is roughly 0.05 The probability of choosing five clubs is roughly 0.0005.
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Answer:
A & D
Step-by-step explanation:
E2020 Geometry B!! :33
When graphing an inequality, what is drawn to show that the number named
in the inequality is included in the solution?
Answer:
The line would be a solid line.
Step-by-step explanation:
To draw inequality graphs, solid lines represent [tex]\geq or \leq[/tex] and dotted lines show > or <. Hope this helps.
Which is equivalent to (3√125)*?
Answer:
33.5410196625 ????
Step-by-step explanation:
PLEASE HELP ME ON THIS ONE
Answer:
8m
Step-by-step explanation:
Find the volume of the sphere first :
V sphere = [tex]\frac{4}{3}[/tex] π 6^3 = 902.51
Then use the volume of the sphere to find the height :
Formula = V/π[tex]r^{2}[/tex]
902.51/π(6)^2 = 8.004 (rounded is 8)
hope this helped :)
Answer:
8 m
Step-by-step explanation:
Given,
Volume of sphere = Volume of cylinder
Radius ( r ) = 6 m
Formula : -
Volume of sphere = 4/3 πr³
Note : -
The value of π is 3.14
Volume of sphere
= 4/3 x 3.14 x 6³
= 4/3 x 3.14 x 6 x 6 x 6
= 904.32 m³
Hence,
The volume of sphere is 904.32 m³.
Since,
Volume of sphere = Volume of cylinder
So,
Volume of cylinder = 904.32 m³
Formula : -
Volume of cylinder = πr²h
πr²h = 904.32
3.14 x 6 x 6 x h = 904.32
113.04 x h = 904.32
Divide 113.04 on both sides,
h = 904.32 / 113.04
h = 8 m
A lightbulb manufacturer must test a sample of lightbulbs to ensure that quality and safety standards are being met. Which of these methods will produce the most representative sample of the population of lightbulbs made by this company? OA. The manufacturer tests every lightbulb made on Monday. B. The manufacturer tests the last 100 lightbulbs produced each month. OC. The manufacturer tests the first lightbulb off the production line each day OD. The manufacturer tests every 1000th lightbulb off the production
Answer:
D
Step-by-step explanation:
It makes the most sense
jeff can solve 16 math problems in 25 minutes. How many problems can he solve in 42 minutes?
Answer:
27
step by step explanationfrom the explanation,
let the number of maths that can be solved in 42 minutes = X
16 maths--------------25minutes
x maths --------------42 minutes
cross multiplying
X×25= 16×42
dividing bothsides by 25
25X/25 = 16×42/25
X = 672/25
X = 26.88 = 27 (approximately)
therefore 27 problems can be solved in 42 minutes
Find the unit rate.
392 orders in 4 days =
orders per day
---Divide the numerator and denominator by 4. We do this because we want to know how many orders are in 1 day and 4 / 4 = 1.
392 orders / 4 days
98 orders / 1 day
Hope this helps!
Need help please answer ASAP!
25&26
Answer:
40° and 6
Step-by-step explanation:
25. Let's suppose the angles as 2x and 7x
Then,
2x + 7x = 180°
or, 9x = 180°
or, x = 180°/9
or, x= 20°
Now, 2x is smaller
So, 2x = 2× 20° = 40°
26. Solution,
Each exterior angle = 360°\n
or, 60° = 360°/n
or, 60°n = 360 °
or, n = 360°/60°
or, n=6
As, Hexagon has 6 sides.
#26
Any polygon has sum of exterior sides as 360°
No of sides
360/60=6#25
Let the angles be 2x and 7x
2x+7x=1899x=180x=180/9x=20°Smallest angle=2(20)=40°
Check all statements that are true. If none are true click “None”
A- Since it is a repeating decimal, 14.19 is irrational.
B- Since it is a terminatingdecimal, 12.19 is rational.
C- Since 16 is a perfect square,
16 is irrational
D- Since 6 is not a perfect square, 6 is rational.
E- Since it’s a ratio of two integers 11/3 is rational
Answer:
B and E are True.
Step-by-step explanation:
B 12.19 is a terminating decimal so it is rational.
E its a ratio of 2 integers so its rational.
A - is not repeating so this is false.
C. a perfect square is rational - 16 can be written as 16/1.
D. 6 is rational because it can be written as 6/1 not because its not a perfect square.
What is the length of DE?
A. 5
B. 7
C. 6
D. 8
Answer:
the answer is 5. I think because it's a trian
A. 5 I think.....the length of DE is 5.
I need help! Asap please.
The area of the given triangle will be [tex]\dfrac{5\sqrt{2}}{2}[/tex]
What is the triangle?Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.
Given points of the triangle are:-
( -6,5 ) (-5,3 ) and (-8, 2)
Now we will apply the area formula for the triangle:-
[tex]A = \dfrac{1}{2} \times B\times H[/tex]
The base will be = [tex]\sqrt{(-5++8)^2+(3-2)^2)}=\sqrt{9+1}=\sqrt{10}}[/tex]
The Height will be = [tex]\sqrt{(-5+6)^2+(5-3)^2}=\sqrt5[/tex]
The area will be calculated as:-
[tex]A =\dfrac{1}{2}\times \sqrt{10}\times \sqrt{5}=\dfrac{5\sqrt{2}}{2}}[/tex]
Therefore the area of the given triangle will be [tex]\dfrac{5\sqrt{2}}{2}[/tex]
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In a telephone poll, 2 people said they like shopping and 8 people said they do not like shopping. What is the ratio of the number of people who do not like shopping to the total number of people polled?
Answer:
4:1
Step-by-step explanation:
There are eight people who don't like shopping and 2 who do. So for every 1 person who likes shopping there are 4 people who don't
An apple orchard's workers pick 12,500 apples in the month of October. A sample of 500 of these apples shows that 30 of them are damaged. what is the best estimate of the percentage of apples picked at the orchard in October that are damaged?
The best estimate of the percentage of apples picked at the orchard in October that is damaged will be 6%.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.
An apple orchard's workers pick 12,500 apples in the month of October.
A sample of 500 of these apples shows that 30 of them are damaged.
Then the best estimate of the percentage of apples picked at the orchard in October that is damaged will be
P = 30/500 x 100
P = 6%
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What is the area of the shaded region? (25π – 48) cm2 (25π – 30) cm2 (25π – 24) cm2 (25π – 12) cm2
The area of the shaded region or portion in the circle is (25π - 24) cm².
How to find the area of the shaded portion in the circle?The area of the shaded portion in the circle is found by subtracting the area of the two triangles from the area of the circle.
Therefore,
area of the circle = πr²
where
r = radiusarea of a triangle = 1/ 2 bh
where
b = baseh = heightTherefore,
r = 5 cm
area of circle = 5²π = 25π cm
area of one triangle = 1 / 2 × 6 × 4 = 12 cm²
The area of the two triangles = 2(12) = 24 cm²
Hence,
area of the shaded portion = (25π - 24) cm²
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I think of i take away 5 the results is 14 what number did i think of
Answer:
19.
Step-by-step explanation:
Let the number you think of be x, then:
x - 5 = 14.
x - 5 + 5 = 14 + 5
x = 19.
Given that XY is a line segment with the angle a = 46 degrees, work out the value of the angle marked b.
B = ?
Answer:
The answers should be b=44°
Step-by-step explanation:
b=180°–90°–a
b=180°–90°–46°
b=44°