The diagram shows a sector of a circle radius 10 cm.
Find the area of the sector, giving
your answer correct to 1 decimal place.
135°
10 cm
please give the working out aswell !!
Answers
Answer:
Area of sector = 117.6 cm²
Step-by-step explanation:
Radius of sector r = 10 cm
Angle Ф = 135°
We need to find Area of sector
The formula used is: [tex]\mathbf{Area\:of\:Sector=\frac{\theta}{360^{\circ}}\times \pi r^2}[/tex]
Where Ф is the angle, and r is the radius.
Putting values and finding area of sector
[tex]\mathbf{Area\:of\:Sector=\frac{\theta}{360^{\circ}}\times \pi r^2}\\Area\:of\:Sector=\frac{135}{360}\times 3.14 (10)^2\\Area\:of\:Sector=0.375 \times 3.14 \times 100\\Area\:of\:Sector=117.75[/tex]
Now, rounding off answer to 1 decimal place:
[tex]Area\:of\:Sector=117.6\: cm^2[/tex]
So, Area of sector = 117.6 cm²
Related Questions
What equation in slope intercept form represents the line that passes through the two points?
(2, 5), (7, –1)
Answers
Answer:
y = -3/2 + 8 and/or 3x + 2y = 16
Step-by-step explanation:
(x,y) is helpful to remember
*I believe I'm correct, but I would recommend a quick double-check
What’s the answer please?
Answers
Answer:
19.375
Step-by-step explanation:
Answer:
19.375
Step-by-step explanation:
[-15(-1.5)] + [(-2.5) x 1.25]
= [22.5] + [-3.125]
= 19.375
Sasha says that she drew an acute isosceles triangle with side lengths of 6 cm,9 cm,and 12 cm and the angles are of 30 degree,50 degrees,and 100 degrees. Danielle says that not possible.Using sides and angles, who is correct. Most helpful gets the Brainliest.
Answers
Answer:
Danielle is correct. An isosceles triangle has two angles that are the same and one that's different.
Step-by-step explanation:
Tell me if it is wrong
I would appreciate a brainliest!
Have a nice day :D
factorise fully 6x+15x²
Answers
Answer: the fully factorized answer is 3x(2 + 5x)
Answer:
6x time 15x times 15x you will get your answer
Step-by-step explanation:
easy A F.
Find the values of x and y.
Answers
Answer:
x=30° y=5
Step-by-step explanation:
All sides of the top triangle are equal. And all angles are equal Since it's an equilateral triangle.
so
8y=40
y=40/8
y=5
Since it's an equilateral triangle. All angles are equal And each angle has dimensions
=180°/3=60°
The angle of the straight line = 180°
so The obtuse angle of the lower isosceles triangle is 180°-60°=120°
The angles at the base of the isosceles triangle are equal
so 2x° = 180°-120°
2x°=60°
x°=60°/2
x°=30°
100 points! I will mark brainliest! Only answer if you know it please. Random answer will be reported because I’m looking for the REAL answer:)
Answers
Answer:
2 and -1/2
Step-by-step explanation:
perpendicular lines have slopes that have opposite signs and are reciprocals
The price of a watch was increased by 20% to £162.
What was the price before the increase?
Answers
Step-by-step explanation:
Write equation. Let o be original price, r be rate of increase, P be the increased price. o+ro=P
Substitute values. Original price (o) is unknown, so that will stay as it is; we know that the increased price (P) is 162; we know that the rate of increase (r) is 20%, which in decimal form is 0.20 o+0.20o=162
Add like terms. o is the same as 1o. So 1+0.20 is 1.20. 1.20o=162
Isolate the variable (o). To isolate o, you need to divide both sides by 1.20. 1.20 divided by 1.20 is the same as 1. 162 divided by 1.20 is 135. o=135
Check your work. Plug in the values into the equation and check if it is correct: o+ro=P becomes (135)+(.20)(135)=162. That is simplified into 135+27=162, which is further simplified into 162=162
It’s correct, the answer is 135
Answer:
£129.60
Step-by-step explanation:
10% = £16.2
20% = £32.4
£162 - £32.40 = £129.60
Answer the questions please
Answers
Answer:
The first one, As time increases, the number of Perennials sold has decreased
Step-by-step explanation:
Answer:
It's A or the first one on the top.
Step-by-step explanation:
Find WX
10x + 5
7x + 8
8x-1
Answers
Answer: 127
Step-by-step explanation:
please ill give brainliest if correct
What is an equation of the line that passes through the point (-1,4) and is parallel to the line x+y=4x?
Answers
Answer:
Y= 14x+5
Step-by-step explanation:
Complete the pairs of corresponding parts if △RST ≅ △TXY.
ST =
TY
XY
TX
Answers
Answer:
As
ST is corresponding to XY
Hence, we conclude that:
ST = XYStep-by-step explanation:
Given
△RST ≅ △TXY
To determine:
ST = ?
As
△RST ≅ △TXYSo the triangles △RST and △TXY are congruent to each other.
We know that congruent triangles have equal corresponding parts.Please check the attached graph.
From the graph, it is clear that:
RT is corresponding to TY.ST is corresponding to XY.RS is corresponding to TX.We need to determine ST
as
ST is corresponding to XY
i.e. ST = XY
Hence, we conclude that:
ST = XYWHAT IS 7/3 OF 6093?????????
Answers
Answer:
14217
Step-by-step explanation:
(7÷3)×6093=
14217
Please help
Write the equation of a line that is parallel to y=-x + 7 and passes
through the point (-4, 1). Write your answer in slope-intercept form,
y = mx + 6.
Answers
Answer:
y = -x -3
Step-by-step explanation:
I went to Desmos and kept guessing y intercepts until the line passed through the point (-4, 1). Sorry I can't explain the real way to figure this out.
A bathtub is filling with water at a rate of 60 liters per minute.
How many liters of water are in the bathtub after t minutes?
Write your answer as an expression.
Answers
Answer:
YO BIG MAMMA
Step-by-step explanation:
You just yell to your mom and say YO BIG MAMMA and TADA she loves you
5x^2 + 42x + 16
what would the area be if x = 5
Answers
Answer:
The area would be 301 if x=5.
Step-by-step explanation:
Given expression is:
5x²+42x+16
We have to find the area when x=5
So putting x=5 in the given expression.
Area = 5(5)²+42(5)+16
Taking square of 5 and multiplying 42 by 5
Area = 5(25)+210+16
Area = 75+210+16
Adding all the terms
Area = 301
Hence,
The area would be 301 if x=5.
Rewrite the function y = 2(x – 4)^2 – 5 in standard form.
Answers
Answer:
y=2x2−16x+27
Step-by-step explanation:
eeeeeeee
what expression is equivalent to 2m (32m + 1) + 3 (53 - 2)
Answers
Answer:
64m2+2m+255
Step-by-step explanation:
What is the circumference of a circle with a diameter of 3 feet? Use 3.14 for
TT
Pls help
Answers
Answer:
9.42
Step-by-step explanation:
A local business in Central Florida is looking for a new employee to manage the company’s website. The company is looking to hire someone who can type at least 55 words per minute. Maria can type at a constant rate of 696 words in 12 minutes. Does Maria type at a fast enough rate to qualify for the job? PLSS HELP
Answers
Answer:
The answer is 58
Step-by-step explanation:
The number 696 with 12 minutes you can divide 696 with 12 then you get that value which is 58.
During each week of piano lessons, Nate learns to play 1 new piece. Is the total number of piano pieces Nate learns proportional to the number of weeks he takes lessons?
Answers
Answer:
Yes
Step-by-step explanation:
1 piece per week can be written as a 1:1 ratio
Need help cant find the right answer for this one
Answers
Step-by-step explanation:
the answer is a
hope it help....
A box of chocolates contains five milk chocolates, five dark chocolates, and five white chocolates. You randomly select and eat three chocolates. The first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate. Is it independent or dependen?
Answers
The first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate independent and the probability is 25/546.
What is probability ?Probability of something is the occurrence of a certain event out of the total events that can occur.
According to the given question
The total no. of chocolates in the box is
(5 + 5+ 5) = 15 chocolates.
The probability of eating a milk chocolate first a dark chocolate second and a white chocolate third is an independent event because occurrence of next event do not depend upon the previous event.
There are 5 milk chocolates.
So, probability of getting a milk chocolate first is
P(mc) = 5/15
= 1/3
Now the the chocolate can no be replaced because it is eaten
∴ Probability of getting a dark chocolate second is
P(dc) = 5/14 (as the total no. of chocolate is reduced by 1
because it has been eaten)
And the probability of getting a white chocolate in 3rd attempt is
P(wc) = 5/13
As the first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate is an independent event their probability is
P(mc) ∩ P(dc) ∩ P(wc)
= P(mc) × P(dc) × P(wc)
= (1/3 × 5/14 × 5/13)
= 25/546.
Learn more about Probability here :
https://brainly.com/question/11234923
#SPJ1
Help pls!! Find the value of DB and AE
Answers
Answer:
B
Step-by-step explanation:
x=2
3x + 10
3(2) + 10
6+10
16
Db=16
16(x)
16(2)
32=AE
Db=16, 32=AE which is B
plz brainliest
Answer:
16, 32
Step-by-step explanation:
BD is midsegment of the ΔACE ⇒ 16x = 2(3x + 10)
16x - 6x = 20 ⇒ x = 2
BD = 3(2) + 10 = 16 units
AE = 16(2) = 32 units
The difference of two number is 3. Their sum is 13. Write and alive a system of equations to help find the numbers
Answers
8+5=13
8-5=3
✨PLEASE HELP✨DUE SOON✨
Answers
X = 5
Solve 6x-2(-2x+14)=22
Then solve y=-2*5+14
y=4 and x=5
sorry if this is wrong
Write an explicit formula for an, the nth term of the sequence 15, 12,9,....
Answers
Answer:
18-3n
Step-by-step explanation:
18-3(1)=15
18-3(2)=12
etc
etc
Is it A or D? im kind of confused
Answers
Can smbdy help me???
Answers
9514 1404 393
Answer:
a. One solution
Step-by-step explanation:
These are two linear equations with different x-coefficients. They have one solution.
__
Additional comment
If the x-coefficients are the same, the system may have 0 or infinite solutions, depending on the constants. It is not possible for a system of linear equations to have exactly two solutions.
What is the value of x?
24
36
12
Select one:
O a. 8
O b. 12
O c. 6
O d.
Answers
Answer:
x = 12
Step-by-step explanation:
What is the slope of the line that passes through the points (0,5) and (2,8)
Answers
So m=3/2