If you answer I will mark you brainliast
Exercise 6
Use the x button on a calculator. You will need basic trigonometry (page 209).
1. The chord AB subtends an angle of 130° at the centre O.
The radius of the circle is 8 cm. Find:
a) the length of AB
b) the area of sector OAB
c) the area of triangle OAB
d) the area of the minor segment (shown shaded).
2. Find the shaded area when:
a) = 6 cm, 0 - 70°
b) r=14 cm, 0 = 104°
c) r=5 cm, 0 = 80
8 cm
1.
3. Find and hence the shaded area when:
a) AB = 10 cm, r= 10 cm
b) AB=8 cm, r = 5 cm
4. How far is a chord of length 8 cm from the centre of a circle of radius 5 cm?
5. How far is a chord of length 9 cm from the centre of a circle of radius 6 cm?
Answers
Step-by-step explanation:
Refer Fig 1 as attached
1a. angle a = angle b = 25°
AM = 8 x cos 35° = 6.553
so AB = AM x 2 = 13.1
1b. Area of sector OAB / Area of the circle
= 130 / 360
Area of sector OAB = 8x8xpi x 130/360
= 23pi
1c. Area OAB = 2 X ( AM x OM) /2 = AM x OM
OM = AM x tan (angle a) = 13.1 x tan 25°
= 6.109
so Area OAB = 6.553 x 6.109 = 40.03
1d. Area of the minor segment
= Area of sector OAB - Area of triangle OAB
= 23pi - 40.03
= 32.23
2, 3 Please refering the approach as above to find the answers
4. Refer Fig 2 as attached
a = 3
the cord is 3 cm from the centre
5. Repeat the approach of 4 above please.
Related Questions
Please help...redoing past papers so I need to cross-check with someone to see if they are correct
Answers
Answer:
4 < k < 12
Step-by-step explanation:
The given function is y = 2·x² + k·x + 2·k - 6
Where the curve lies above the x-axis for all values of x, the function does not have a root and the discriminant, Δ, is negative, to give complex roots
∴ The discriminant Δ = k² - 4·2·(2·k - 6) < 0
k² - 4·2·(2·k - 6) = k² - 16·k + 48 < 0
(k - 12)·(k - 4) < 0
∴ k < 12 or k > 4 given that by substitution, we have;
When k = 3 < 4
k² - 16·k + 48 = 3² - 16×3 + 48 = 9 > 0
Also the product of two negative numbers is larger than 0
Therefore, the set of values of k for which the curve lies above the x-axis for all values of x is 4 < k < 12
12
Peter was thinking of a number. Peter halves the number and gets an answer of 25.5. Form an
equation with x from the information,
Answers
Answer:
[tex]\dfrac{x}{2}=25.5[/tex]
Step-by-step explanation:
Let the number be x.
Peter halves the number and gets an answer of 25.5.
It means,
Half of x equals 25.5. So,
[tex]\dfrac{1}{2}x=25.5[/tex]
or
[tex]\dfrac{x}{2}=25.5[/tex]
Hence, the required equation is [tex]\dfrac{x}{2}=25.5[/tex].
En una granja hay 26 corrales con una capacidad para 68 gallinas cada uno. Sí cada gallina pone un huevo cada día ¿cuántos huevos recolectan en una semana (7 días )?
Answers
Answer:
12376 huevos
Step-by-step explanation:
Son 68 gallinas en 26 corrales por tanta se multiplicaría
26 x 68=1768 estas serian el total de las gallinas en todos los corrales, aparte te dicen que cada pone un huevo al día, entonces como te piden cuantos huevos serán en 7 días sería:
1768 x 7= 12376
1768= a los huevos de cada gallina en un día ya que te dice que cada una pone un huevo en cada día.
What is the image of (3,-5) after a dilation by a scale factor of 55 centered at the origin?
Answers
Answer:
7.789
Step-by-step explanation:
i got it right and
Decide whether each statement is true or false.
You are less likely to roll a 3 than a 4 on a die.
True
False
(I'm not good with probability..)
Answers
Both have equal probability
Please mark brainliest
if point (4,5) is on the graph of a function, which equation must be true?
Answers
Part A: The area of a square is (9x2 − 12x + 4) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)
Part B: The area of a rectangle is (25x2 − 16y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
Answers
Answer:
A. (3x-2)^2
B. 5x-4y
5x=4y
Step-by-step explanation:
HELP PLEASEEEEE!!!!!!
Answers
If that answer doesn't work, then try 29 without the percent sign.
============================================================
Explanation:
We know with absolute certainty that the person ordered a hot drink, due to the "given".
This means we only focus on the values in the first row.
There are 5+48+22 = 75 hot drinks ordered. Of that total, 22 hot drinks are large.
The probability of getting a large drink, given it was a hot beverage, is 22/75 = 0.2933 approximately.
This converts to 29.33% and that rounds to 29%
NEED ANSWER(s)!!! THANK YOU!!!
Answers
Answer: A. Sea otter (5 meters below sea level) Fish(1 meter below sea level) and Bird (4 meters above sea level)
B. Fish is closest to sea level by only 1 meter, Bird is 4 meters above sea level, so it would be second, and Sea Otter is the farthest from Sea level because it is 5 meters under sea level
Step-by-step explanation: that is my explanation, and to explain what i said, 0 is sea-level
Find value of x 4(x+6)° (5x+11)°
Answers
Value of x = 13°
Hope it helps you...
PLEASE HELP ASAP ILL MAKE BRAINLIEST
The table shows how many coins are in Joshua’s coin jar.
Joshua intends to blindly reach in to the coin jar, pull out the first coin he touches, record its value, and replace it. He will select a coin 50 times. Set aside the different coin sizes, and assume the size of the coin does not impact his ability to select it.
Enter the number of times a dime is expected to be pulled from the jar.
Answers
Answer:
10 times
Step-by-step explanation:
there are a total of 200 coins
each time he makes a selection the probability of selecting a dime is 40/200 or 1/5
if he makes 50 selections, the probability is 1/5(50) which is 10 times
Pls Solve
2/5 × (-3/7) - 1/6 × 3/2 +1/14 × 2/5
Answers
Answer:
-11/28
Step-by-step explanation:
Following BODMAS:
(2/5 * -3/7) - (1/6 * 3/2) + (1/14 * 2/5)
= (-6/35) - (1/4) + (1/35)
= 1/35 - 6/35 - 1/4
= -5/35 -1/4
= -55/140
= -11/28
Quadrilateral qrst is a square what is pst
Answers
if QRST is indeed a quadrilateral, then, Check the picture below.
The point (3,-7) lies on a circle and the center of the circle is at (-2,-7). What is the equation of this circle
Answers
Step-by-step explanation:
the answer is in the above image
give me one secondddd..
Answers
Answer:
mark me as a brainleast
Step-by-step explanation:
iam not undeerstand on your qiestion write it beautiful words
Please help me. I am so confused right now and I need to turn this in asap.
Answers
Answer:
sorry only doing the ones im sure of
a)
FBC is half the circle, so the angle would = 180.
180 - 135 = 45, so thats the angle between BC
its a vertical angle, so it would be the same on the other side, between FE
the only angle left is betweeen DC, so add them all up and minus by 360
360 - 306 = 54
b)
a triangle's angles add up to 180, so
49 + 70 = 119
180 - 119 = 61
since this is an inscribed angle that isnt connected to the center, the arc will be double the angle
so ? = 122
d)
5(8) = 40
40/4 = 10
x = 10
f)
the rest of the circle is 243 bc 360-117=243
243 - 177 = 126
126/2 = 63
Nina has 465 pennies in a jar. Daryl has 348 pennies in a jar. How many pennies do they have in all?
Answers
Answer:
813
Step-by-step explanation:
you add them together
Calixto travels by train to a meeting in Barcelona. Barcelona is 270 km from where he lives.He catches the train at 9:45 a.m. The traintravels at anaverage speed of 120 km/hr.What time will the train arrive in Barcelona?
What time will the train arrive in Barcelona?
Answers
Answer: 12:00 pm or 1200hrs
Step-by-step explanation:
Time = distance/speed
270/120 = 2h 15min
= 2h 15min
Line p passes through (8, -6) and is perpendicular to the line 2x + y = -7. The slope of line p is ...
Answers
Answer:
Y=1/2-10
Step-by-step explanation:
M=1/2 perpendicular
M1*M2=-1
There are only red counters, blue counters and purple counters in a bag.
The ratio of the number of red counters to the number of blue counters is 3 : 17
Sam takes at random a counter from the bag.
The probability that the
counter is purple is 0.2
Work out the probability that Sam takes a red counter.
Answers
Answer:
0.15
Step-by-step explanation:
R:B:P
3:17:4
20x0.2=4
0.2/4=0.05
P(R)= 0.05x3
P(R)=0.15
please help me points and brainliest
Answers
Answer:
1/2
D
Step-by-step explanation:
slope = [tex]\frac{rise}{run}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]
[tex]\frac{2}{4}[/tex] = [tex]\frac{3}{6}[/tex] Same ratio. Both reduce to [tex]\frac{1}{2}[/tex]
What is the value of S4 for HURRY PLEASE !!!
Answers
Answer:
5 [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
The sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a(1-r^{n}) }{1-r}[/tex]
where a is the first term and r the common ratio
The expression inside the summation is
4 [tex](\frac{1}{4}) ^{n-1}[/tex] ← the nth term of a geometric sequence
with a = 4 and r = [tex]\frac{1}{4}[/tex] , then
[tex]S_{4}[/tex] = [tex]\frac{4(1-(\frac{1}{4}) ^{3}) }{1-\frac{1}{4} }[/tex]
= [tex]\frac{4(1-\frac{1}{64}) }{\frac{3}{4} }[/tex]
= [tex]\frac{16}{3}[/tex] ( [tex]\frac{63}{64}[/tex] )
= [tex]\frac{21}{4}[/tex]
= 5 [tex]\frac{1}{4}[/tex]
How do you write 6.6 x 10-5 in standard form?
Answers
Answer:
.000066
Step-by-step explanation:
move decimal places five places to the left
Victor also saw a jacket he liked while he was shopping. The jacket has a price tag of $75.00 and was marked for 30% off. How much money will the jacket cost after the sale?
Answers
Respuesta:
$ 52.5
Explicación paso a paso:
Dado
Costo de la chaqueta = $ 75
Mark off = 30%
Descuento = 30% de $ 75
Precio de descuento = 0,3 * 75
Precio de descuento = $ 22.5
Costo después de la venta = $ 75 - $ 22.5
Costo después de la venta = $ 52.5
Por lo tanto, el costo después de la venta es de $ 52.5
If f(x)=x^2 is vertically stretched by a factor of 8 to g(x), what is the equation of g(x)?
A. g(x)= (1/8x)^2
B. g(x)= 8x^2
C. g(x)= (8x)^2
D. g(x)= 1/8x^2
Answers
Answer: 3x
Step-by-step explanation: just need points
Sarah buys a car for £23,000.
It depreciates at a rate of 3% per year.
How many years will it take to be worth less than £20,000?
Answers
Answer:
4.61 years
Step-by-step explanation:
hope it helped!
Change to vertex form
1) f(x) = x² - 4x + 4
2) f(x) = -x ² + 8x-16
3) f(x) = 2x ²-x+3
4)f(x)=2x ²-3x-1
Answers
Answer:
- y = 7 is a line which is-(A) Parallel to y-axis (B) Parallel to x-axis (C) Passing through (7, 7) (D) Passing through origin
if (P-3) is the largest of for odd number then the smallest is
A p-11
B p-9
C. p+3
D. p+5
Answers
ensalada no son vulgares
what is 2+a, when a is 17?
Answers
Answer:
19
Step-by-step explanation:
If a=17, then:
2 + 17 = 19
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Have a great summer :)
substitute a for 17
17+2= 19
Question 1 of 5
Which data set has a variation, or mean absolute deviation, similar to the data
set in the given dot plot?
Answers
Answer:
It is A because it is pretty similar to the data set in the given dot plot.