The diagram shows the sector of a circle with the centre O and radius 6cm.
MN is a chord of the angle.
angle MON is 50 degrees
calculate the area of the shaded segment
give your answer to 3 significant figures
Answers
Answer:
Area of the shaded region = 1.92 cm²
Step-by-step explanation:
From the picture attached,
Area of the shaded region = Area of the sector OMN - Area of the triangle OMN
Area of sector OMN = [tex]\frac{\theta}{360}(\pi r^{2})[/tex]
Here, θ = Central angle of the sector
r = radius of the sector
Area of sector OMN = [tex]\frac{50}{360}(\pi )(6)^2[/tex]
= 15.708 square cm
Area of ΔOMN = 2(ΔOPN)
Area of ΔOPN = [tex]\frac{1}{2}(OP)(PN)[/tex]
Area of ΔOMN = OP × PN
In ΔOPN,
sin(25°) = [tex]\frac{PN}{ON}[/tex]
PN = ONsin(25°)
= 6sin(25°)
= 2.536 cm²
cos(25°) = [tex]\frac{OP}{ON}[/tex]
OP = ONcos(25°)
OP = 6cos(25°)
OP = 5.438 cm
Area of ΔOMN = 2.536 × 5.438
= 13.791 cm²
Area of the shaded region = 15.708 - 13.791 = 1.917 cm²
≈ 1.92 cm²
Related Questions
Secant AD and AE intersect in the exterior of a circle. ∠ BAC measures 27.42° and the measure of DE is 73.18°. Determine the measure of BC .
Answers
Answer:
BC = 18.34°
Step-by-step explanation:
The secant- secant angle BAC is half the difference of the intercepted arcs, that is
[tex]\frac{1}{2}[/tex] ( DE - BC) = 27.42
[tex]\frac{1}{2}[/tex] ( 73.18 - BC ) = 27.42 ( multiply both sides by 2 )
73.18 - BC = 54.84 ( subtract 73.18 from both sides )
- BC = - 18.34° ( multiply both sides by - 1 )
BC = 18.34°
Please help , how do you do this ?
Answers
(-6)x (y=3x+5) 22x=-2 x=-2/22
4x+6y=28 y=3(-2/22)+5 y=52/11
-6y=-18x-30
4x+6y=28
eliminate
so -18x-30=0
4x-28=0
=-22x-2=0
*Mark Brainlist please that took me 7 minutes
Margaret has some cows. The cows produce an average total of 11.9
litres of milk per day for 290 days. Margaret sells the milk in 0.5 litre
bottles. Work out an estimate for the total number of bottles that
Margaret will be able to fill with the milk.
Answers
Answer:
6902
Step-by-step explanation:
Total milk produced in 290 days = 11.9 x 290 = 3451 litres
If 1 bottle has a capacity of 0.5l, the number of bottles needed = 3451 / 0.5 = 6902 bottles
Triangle EFG is dilated with a scale factor of to create DE'F'G'. The measure of ÐF' is 36°. What is mÐF?
A
18°
B
72°
C
144°
D
36°
Answers
Answer:
B. 36°
Step-by-step explanation:
Dilation does not change the angle measures or the direction of the lines. Angle F is the same as corresponding angle F'.
Sasha is washing cars to raise money for charity.
She uses 11.5 litres of water to wash two cars.
How much water would she use to wash 6 cars?
Give your answer in litres. Do not write the unit
of measure in your answer.
Answers
Answer:
34.5Litres :) hope this helps
Step-by-step explanation:
Need NOW!!!! Please!!!
Answers
X -5
Roots are x intercepts
NEED HELP ASAP PLEASE HELP ILL GIVE YOU BRAINLIEST
Answers
Answer:
E. 1d+0.015d
G. 1.015d
Step-by-step explanation:
A is incorrect, as it only shows the 1.5% raise. B is incorrect, since that would be a 15% raise. C and D are incorrect because it's impossible to add a number with a variable to one without a variable. E is correct because it properly adds 100% (the amount he made without the raise) and 1.5% (the raise) together. F is incorrect because again, it adds 15%. G is correct because it is the total amount he makes, with the raise. H is incorrect because again, it adds 15%.
Anyone help ASAP pls!!
Answers
Answ675 cubic ft i think
Step-by-step explanation:
Answer:
cube above: 5x5x5=150
cube below:5x5x12=300
whole answer in cubic feet: 450 cubic feet
Step-by-step explanation:
please help i’ll give brainless
Answers
Answer:
1. 16
2. 50
3. 24
4. 64
a parallelogram has an area of 288 ft squared. If the base of the parallelogram is 24 ft, what is the height of the parallelogram
Answers
Answer:H=12Ft
Base:24
Area:288
A=bh
h=A/b=288/24=12ft
Three friends were playing a game of marbles. At the end of the game, Marcy had 25% of the marbles, Roger had21of the marbles, and Ann had the rest of the marbles. If there were 100marbles altogether, how many marbles did Ann have at the end of the game
Answers
Answer:
54
Step-by-step explanation:
total no. of marbles=100
no. of marbles Marcy had
=25% of 100
=25/100×100
=25
no. of marbles Roger had=21
Let the no. of marbles Ann had=x.
So, 25+21+x=100
46+x=100
x=100-46=54
Therefore, Ann had 54 marbles at the end of the game.
Urgent! I will mark you brainliest and rate you five stars for the correct answer! :)
Answers
Answer:
the median will be greater than 85 points
hope this helps good luck
Find g(f(x))
f(x) = -2x^2
g(x) = 3x -1
SHOW YOUR WORK
Answers
Answer:
-6x^2-1
Step-by-step explanation:
Find value
f(x)=-2x^2. g(x)=3x-1. Find g(f(x))
Solution:
f(x)=-2x2
g(x)=3x-1
g(f(x))=?
f(x)=-2x2,g(x)=3x-1,gof(x)=?
gof(x)=g(f(x))
Solution:
f(x)=-2x2
g(x)=3x-1
g(f(x))=?
f(x)=-2x2,g(x)=3x-1,gof(x)=?
gof(x)=g(f(x))
=g(-2x2)
=3⋅(-2x2)-1
=-6x2-1
gof(x)=-6x^2-1
Find the circumstance of a circle with a diameter of 24 cm.
Answers
C=D(3.14)
C=24(3.14)
C=75.36
---
hope it helps
Which point is located at (2, 3)
Answers
Answer: C
Step-by-step explanation:
Take your points (2,3)
Start with 2
Go over to the right 2 times
Now take 3
and go up 3 times
You will land on C
Answer:
C
Step-by-step explanation:
A = (3,2)
B = (2,2)
C = (2,3)
D = (3,3)
The boss sent you to pick up lunch with $32.10, but you forgot how many hamburgers and hotdogs to pick up! The cost of a hamburger is $1.50 and the cost of a hot dog is $1.10. You must buy a combination of 23 items.
Answers
Answer:
Step-by-step explanation:
so we can make a system of equations
y=hotdogs
x=hamburgers
you need a combination that sums to 23, so add the two and get 23:
y+x=23
and then you need to account for how much money you have and the cost.
1.50x+1.10y=32.10
still working on it, will edit in rest so that you can see what I did
Please help I will give brainliest!
Answers
Explanation: This is because since both angles 1 and 3 are vertical, this means they are both 95. This gives us 190 (95x2). Now we subtract this from 360 which gives us 170. Since angles 2 and 4 are vertical, we divide by 2, which gives us 85, not 105.
Hope this helps! :)
get this correct for juice wrld
Answers
Answer:
juice wrld dosent like math
Step-by-step explanation:
A lake near the Arctic Circle is covered by a 2-meter-thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate. After 3 weeks, the sheet is only 1.25, point, 25 meters thick.
Let y represent the ice sheet's thickness (in meters) after x weeks.
Which of the following information about the graph of the relationship is given?
Choose 1 answer:
(Choice A)
A
Slope and xxx-intercept
(Choice B)
B
Slope and y-intercept
(Choice C)
C
Slope and a point that is not an intercept
(Choice D)
D
x-intercept and y-intercept
(Choice E)
E
y-intercept and a point that is not an intercept
(Choice F)
F
Two points that are not intercepts
Answers
D because i have that answer but I am not really short.
In 2004 kyle was 8 years old . In 2006 kyle was was four year older than his cousin albert. a.how old was albert in 2004. b. in what year was albert born
Answers
Answer:
Albert was born in the year 2000!
Step-by-step explanation:
2006 Kyle is 10
10 - 4 = 6
So, Albert was 6 years old in 2006
6 - 6 = 0
2006 - 6 = 2000
Kyle was born in the year 2000.
Answer:
A) 4 years old
B) 2000
Step-by-step explanation:
A) 2004 Kyle was 8 years old. Two years pass which makes Kyle 10. Kyle is 4 years older than his cousin 10-4 equal 6. Albert was 6 in 2006. 6-2 equal 4
B) Albert is 6 (2006) which means he was born in 2000.
Help me with these will mark!
Answers
Explanation
Solve for all values of x by factoring
Answers
Answer:
x= 0,5
Step-by-step explanation:
You have to move all the terms to the left side and set them equal to zero. Then set each factor equal to zero.
Hope this helped you!
⭐ If it helped you please give brainliest! ⭐
A variable needs to be eliminated to solve the system of equations below. Choose the
correct first step.
-3x - 9y = 36
X - 9y = 12
Answers
Substitution:
X-9y=12
+9y +9y
X=9y+12
-3(9y+12)+9y=36
-27y-36+9y=36
+36 +36
-18y = 72
/-18 /-18
Y = -4
Or whatever this other I’ve is called
-3x-9y=36
-1(X-9y)=(12)-1
-3x-9y=36
-x+9y=-12
-4x=24
X= -6
What are some fractions equivalent to -1/4
Answers
Answer:
-2/8, -4/16, -8/24
Step-by-step explanation:
Answer:
-2/8
-4/16
-8/32
-16/64
-25/100
Please help I’ll mark Brainlyst (no links please)
Answers
Answer:
96mm²
Step-by-step explanation:
a√ a²+ 4h²
4 √4² + 4(12)²
4 √4² + 4 (144)
4√4² + 576
97. 2 mm²
PLEASE HELP !!!!!!!
(Answer is not -3)
Answers
Answer:
Look below.
Step-by-step explanation:
K(x)=x^2 isnt graphed but P(x)=x^2+n is. We could use this information to figure out what n is. In a quadratic function we always have the same points unless we are transforming it.
X Y
2 4
1 1
0 0
-1 1
-2 4
If we compare what the points were in the parent function to what is shown now we could see that the graph went down 6. From this information we can conclude that n must be -6.
45%
R
Towns P, Q and Rare connected by roads PQ, PR and QR.
PR is 15 km longer than PQ.
QR is three times as long as PR.
The total length of the three roads is 245 km
Work out the length of PQ.
Use x as the unknown in any working.
Your final line must say, PQ = ...
Pa
Answers
Answer: 37 km
Step-by-step explanation:
Given
The total length of the three roads is 245 km
Suppose the length of PQ is [tex]x\ km[/tex]
According to question
The Length of PR is [tex]x+15[/tex]
The length of QR is [tex]3(x+15)[/tex]
The Sum of PQ, PR, and QR is
[tex]\Rightarrow x+x+15+3(x+15)=245\\\Rightarrow 5x+60=245\\\Rightarrow 5x=185\\\Rightarrow x=37 km[/tex]
length of PQ=37 km
PLS help me!!! (EASY) (CORRECT Answer GETS BRAINLIEST + 16 points!!)
Answers
Answer:
y = 2x + 2
Step-by-step explanation:
First you want to find the slope of the line that these coordinates make. To do this, use the slope formula: (y₂ - y₁) / (x₂ - x₁). I will use the first and last points.
(0, 2) & (6, 14)
Plug in these values:
(14 - 2) / (6 - 0)
Simplify the parentheses.
= (12) / (6)
Simplify the fraction.
12/6
= 2
This is your slope.
Now plug this into the standard slope-intercept equation: y = mx + b
y = 2x + b
b is the y-intercept, or the value of y when x = 0. If y=we look at the table, we can see that when x = 0, y = 2.
Therefore, our b-value is 2.
Plug this into our equation.
y = 2x + 2
Hope this helps!
What is the volume of the prism below?
Answers
Answer:
64
Step-by-step explanation:
4*4*4
A dance studio charges $12 per
dance class. The studio is offering a
I
*15% discount if you pay for a set of 5
classes now. How much does it cost to
buy 5 classes with this offer?
Answers
Answer:
you will need to subtract 15% from $12 and get 10.20 now times that by 5 and you will get $51.