Circle graphs are used to represent data in percentages and proportions
There are 25 salads in the restaurant shelf
How to determine the total saladsFrom the question, we have:
The number of Caesar salad = 15The percentage of Caesar salad = 60%So, the total number of salad is:
n * 60% = 15
Divide both sides by 60%
n = 25
Hence, there are 25 salads in the restaurant shelf
Read more about circle graphs at:
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find the area and perimeter of sector OAB given that angle AOB is 60 degrees and the radius of a circle is 21cm
Answer:
Step-by-step explanation:
Perimeter of a sector
The circumference of a circle is 2 pi r.
pi = 3.14
r = 21 cm
The angle of this particular sector is 60 degrees.
So the formula for this sector is P = 2*r + 60/360 * 2* pi * r
Now all you need do is plug the numbers in.
P = 2 * 21 + 1/6 * 2 * 3.14 * 21
P = 42 + 21.98
P = 63.98
Area of the sector
Area of a circle = pi * r^2
Area of a sector = theta / 360 * pi * r^2
theta = 60 degrees
area of this sector = (60/360) * 3.14 * 21^2
Area of this sector = (1/6) * 3.14 * 441
Area of this sector = 230.79
[tex]\bold{\huge{\pink{\underline{ Solution }}}}[/tex]
Given :-We have given that, Angle AOB is 60° The radius of the circle is 21cmTo Find :-We have to find the area and perimeter of the sector OABLet's Begin :-We have ,
Two radii of the circle OA and OB = 21 cm each [tex]\bold{\angle{ AOB = 60° }}[/tex]AB is the segment of the circleWe know that,
[ Perimeter of sector = Arc length + radius + radius ]
[tex]\bold{\blue{ Perimeter \: of \: Sector = }}{\bold{\blue{\dfrac{\theta}{360°}}}}{\bold{\blue{× 2πr + r + r }}}[/tex]
Subsitute the required values in the above formula :-
Length of the arc of OAB
[tex]\sf{=}{\sf{\dfrac{ 60°}{360°}}}{\sf{×2πr + 2r }}[/tex]
[tex]\sf{=}{\sf{\dfrac{ 6}{36}}}{\sf{×2×21π + 2 × 21 }}[/tex]
[tex]\sf{= }{\sf{\dfrac{1}{6}}}{\sf{ × }}{\sf{\dfrac{22}{7}}}{\sf{× 42 + 42 }}[/tex]
[tex]\sf{= }{\sf{\dfrac{1}{3}}}{\sf{ × }}{\sf{\dfrac{11}{7}}}{\sf{ × 42 + 42 }}[/tex]
[tex]\sf{= }{\sf{\dfrac{1}{3}}}{\sf{× 11×6 + 42 }}[/tex]
[tex]\sf{ = 11 × 2 + 42 }[/tex]
[tex]\sf{= 22 + 42 }[/tex]
[tex]\bold{\red{= 64 \: cm}}[/tex]
Thus, The perimeter of the sector OAB is 64 cm
Now,We have to find the area of sector OAB
We know that,
[tex]\bold{\blue{ Area \: of \: sector = }}{\bold{\blue{\dfrac{\theta}{360°}}}}{\bold{\blue{× πr² }}}[/tex]
Subsitute the required values in the above formula :-
Area of sector OAB
[tex]\sf{=}{\sf{\dfrac{60°}{360°}}}{\sf{× πr² }}[/tex]
[tex]\sf{=}{\sf{\dfrac{6}{36}}}{\sf{× π × 21 × 21 }}[/tex]
[tex]\sf{=}{\sf{\dfrac{1}{6}}}{\sf{× π × 21 × 21 }}[/tex]
[tex]\sf{=}{\sf{\dfrac{1 }{6}}}{\sf{× 441π}}[/tex]
[tex]\sf{=}{\sf{\dfrac{1}{6}}}{\sf{× 441 × }}{\sf{\dfrac{22}{7}}}[/tex]
[tex]\sf{=}{\sf{\dfrac{1}{6}}}{\sf{ × 63 × 22}}[/tex]
[tex]\sf{=}{\sf{\dfrac{1}{6}}}{\sf{× 1386 }}[/tex]
[tex]\bold{\red{= 231 \: cm²}}[/tex]
Hence, The area and perimeter of the sector OAB is 64 cm and 231cm²
What is sector? Sector is nothing but the portion covered by the two radii of the circle For example, In the given circle OAB is sector as it is enclosed by two radii OA and OB.quadrilateral corn has coordinates C(-4,1) O(-3,3) R(2,3) N(0,-1). what is the most specific name for the quadrilateral. justify your conclusion
The quadrilateral is a trapezoid because it presents two parallel sides with different lengths.
For solving this question, first you need to plot the coordinate points given on the Cartesian graph. After that, you should connect the plotted points with a line. With this, you can see an image of a parallelogram, but you need to inform your specific name.
Main Types of Quadrilateralssquare: it presents all side equals and angles equal to 90°;rectangle: it presents all angles equal to 90°. On the other hand, the opposite sides are equals (same length);rhombus: it presents all side equals and angles different than 90° (two acute and two obtuse angles );trapezoid: all the sides may not have equal length also it presents two parallel sides.The image plotted from the coordinate points shows a quadrilateral with two parallel sides and different lengths. Therefore, this quadrilateral is a trapezoid.
Learn more about the trapezoid here:
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What is the equation of the line?
O y=3x
o y = 18*
O x-3x+2
Answer:
Third option.
Step-by-step explanation:
We will use the process of elimination to find this answer:
First option is incorrect because y = 3x, because 3x gives us an intersection of positive three, which in this graph the line doesn't intersect at positive three, but two.
Second option is incorrect because although it the line is structured correctly, the line isn't in the same area of height as the given graph, and barely comes up the x-axis.
Third option IS correct because not only is it line structured correctly, but it is also in the same area of height as the given graph. x + 2 means an increase positive two and the line from the following graph does initially intersect as positive two.
Which means your answer is in fact the third option "[tex]y=\frac{1}{3} x+2[/tex]".
Hope this helps.
Please help! Find the value of c in the isosceles trapezoid.
Answer:
u lookn hot tonight baby
Step-by-step explanation:
someone help please:
find the value of x
2x - 2 = 4x + 6
Answer:
or, 2x=4x+8
or, -2x=8
or, x=-4
Given Equation :-
[tex]\qquad[/tex][tex] \pink{\bf \longrightarrow 2x -2 = 4x +6} [/tex]
Let's overturn the equation –
[tex]\qquad[/tex][tex] \sf \longrightarrow 4x +6 = 2x -2 [/tex]
Subtract 2x from both side –
[tex]\qquad[/tex][tex] \sf \longrightarrow 4 x +6 -2x = 2x -2 -2x[/tex]
Cancel 2x from right side & also simplify this equation
[tex]\qquad[/tex][tex] \sf \longrightarrow 4 x +6 -2x =\cancel{ 2x} -2 -\cancel{2x}[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 2x +6 = -2 [/tex]
Now, subtract 6 from both side
[tex]\qquad[/tex][tex] \sf \longrightarrow 2x +6 -6 = -2-6[/tex]
Once again, cancel 6 from left side –
[tex]\qquad[/tex][tex] \sf \longrightarrow 2x +\cancel{6} -\cancel{6} = -2-6[/tex]
On simplification –
[tex]\qquad[/tex][tex] \sf \longrightarrow 2x = -8[/tex]
Now, divide both sides by 2
[tex]\qquad[/tex][tex] \sf \longrightarrow \dfrac{2x}{2} = \dfrac{-8}{2}[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow \dfrac{\cancel{2}x}{\cancel{2}} =\cancel{ \dfrac{-8}{2}}[/tex]
[tex]\qquad[/tex][tex] \pink{\bf \longrightarrow x = -4} [/tex]
Henceforth, value of x is -4.Can yall help
Subtract the sum of the first three prime numbers from the square of 5.
Thanks
(5X5) - (2+3+5)
25- 10
=15
Please mark as Brainliest!
Somebody gets this all correct I will give them 20 points it is two step equations and it’s addition subtraction multiplication and division
If √(2x+3) =√(2x+33) which is the correct solution *
9
8
6
Answer:
No solution
Step-by-step explanation:
(√(2x+3))^2 =(√(2x+33))^2
2x+3 = 2x+33
Please someone please help me.
Answer: B
Step-by-step explanation:
Q25. The floor of a hall is completely covered by 26 carpets, each
measuring 4m in length and 3m in breadth. What is the area of the
of the hall?
Answer:
[tex]276m^{2}[/tex] total area. 78m breadth.
Step-by-step explanation:
First, do 4 multiplied by 3 to find the area of one carpet. The answer is 12m. Then, do 12m multiplied by 23 to get the total area. The answer will be 276m squared. If you want to find width then do 3m multipled by 26 which is 78m.
Operation of complex numbers
(8i-9)+(6i+4)
Answer: 14i-5
Step-by-step explanation:
Add the imaginary numbers first and then the natural numbers
please, help me out !!
Answer:
Correct Statements:
1. The graph of A(t) decreases exponentially
4. The graph of A(t) has a y-intercept at (0,1200)
5. Every year, the cell phone loses 8% of its value.
Step-by-step explanation:
Exponential functions are in the form [tex]y=a(b)^x[/tex], meaning this is a exponential function, so it cannot be linear
a on the exponential function form represents the initial value, otherwise known as the y-intercept, and 1200 is a for the given equation
To find the multiplier, you do 1 -r, and since its 0.92, we do 1-0.92 = 0.08 value per year.
Really need answer for this question ASAP, please someone help me!
Answer:
i think the answer is 11.
What’s the answer in neeeeeeeeed it………
Answer:
10x
Step-by-step explanation:
Libby's dog stands
7
9
yard tall and Jeff's dog stands
5
6
yard tall. How much taller is Jeff's dog than Libby's dog?
Answer:
hi it -2 3
Step-by-step explanation:
Answer:
1/18 there you go
Step-by-step explanation:
what is the AREA of a 13ft by 6ft rectangle
Answer:
78 ft²
Step-by-step explanation:
The formula for area is:
[tex]Area=length*width[/tex]
A 13 ft by 6ft rectangle means that the length is 13 ft and the width is 6 ft. We can use this information to solve for the area...
[tex]Area=length*width\\Area=13ft*6ft\\Area=78 ft^2[/tex]
Answer:
78 sq feet
Step-by-step explanation:
Area = length × width
If you know two of the sides of the rectangle (that aren't directly across from each other) MULTIPLY the numbers together.
Area = l × w
Area = 13 × 6
Area = 78 sq feet
Sami made $23,400 last year in income from his job. He worked 30 hours per week and worked all 52 weeks of the year. What was his hourly pay rate? Sami made $ per hour and $ per week.
I need to know the area
Answer:
67.5 units²
Step-by-step explanation:
We can break this problem down in two parts: The upper triangle and the lower trapezoid.
The upper triangle:
Use the formula [tex]\frac{1}{2} (b)(h)[/tex] to compute the area of the triangle. Base = 10 and Height = 7.
1/2 (10)(7)
1/2 (70)
=35 units².
The lower trapezoid:
Use the formula [tex]\frac{1}{2}(base_{1} + base_{2}) (height)[/tex] to compute the area of the trapezoid. Base 1 = 10, Base 2 = 3 and Height = 5.
1/2 (10 + 3)(5)
1/2 (13)(5)
1/2 (65)
=32.5 units²
So, add the two areas of each shape:
35 + 32.5 = 67.5 units².
Answer:
Step-by-step explanation:
67.5 is the answer and thanks for asking
Solve the inequality. Graph and check your solutions.
y-2>-17
y>___ (Simplify your answer.)
Answer:
I am sorry just today we start this lesson
Which of these describes how to use the number
phi to find a term in the Fibonacci sequence?
A-Divide the term Fn-1 by the value of phi to find
the value of the term Fn
B-Multiply the term Fn-1 by the value of phi to
find the value of the term Fn:
C-Subtract the value of phi from the term Fn-1.
This will give you the value of Fn
D- sum the previous two terms and then multiply
the sum by phi. This will give you the term Fn
Answer:
sum the previous two terms and then multiply
PLEASE HELP
Kira created two patterns. pattern g starts at 2 and increases by 2 each time. pattern h starts at 4 and increases by 4 each time
when the number in Pattern H is 48, what is the corresponding term in Pattern G?
Answer:
when pattern H is 48, pattern G is 24
Select all of the ratios that are equivalent to 1:5
8 to 40
5 to 20
6:30
3/20
2/9
2/10
Please hurry!!!
Answer:
8 to 40
6:30
2/10
Step-by-step explanation:
To check if this is the answer you can multiply the first number of each of these ratios by 5. (We multiply them by five because it is the second number in the ratio 1:5)
8 times 5 equals 40 -so this one is right
6 times 5 equals 30 -yep this one is right too
2 times 5 equals 10 -yeperdoodle
Yeah..so these are the answers! let me know if this helps you out.
All rations equivalent to 1:5:
~6:30
~2/10
~8 to 40
Hopefully this helped-have a good day)
Which can be represented by the expression 13 – 2n?
Answer:
We generally know consecutive even integer numbers are 2 , 4 , 6, 8, 10 ............
So we can see there is difference of 2 in consecutive even integer.
So if we let first even integer as 2n.
So we will let three consecutive even integer as 2n , 2n+2 , 2n+4
Their sum is 54.
So we can write





So n = 8
The expression f(n) = 13 - 2n represents a arithmetic progression with {a} = 13 and {d} = - 2.
What are expressions?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators
Given is the expression as follows -
13 - 2n
We can write the expression as a function of (n) as -
f(n) = 13 - 2n
for {n} = 1, we can write - f(1) = 13 - 2 = 11
for {n} = 2, we can write - f(1) = 13 - 4 = 9
for {n} = 3, we can write - f(1) = 13 - 6 = 7
In the similar way we can continue further. We get the sequence as -
13, 11, 9, 7, .....
This is a arithmetic progression with {a} = 13 and {d} = - 2.
Therefore, the expression f(n) = 13 - 2n represents a arithmetic progression with {a} = 13 and {d} = - 2.
To solve more questions on expressions, visit the link below -
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Bob rented a truck for one day. There was a base fee of $14.99, and there was an additional charge of 80 cents for each mile driven. Bob had to pay $114.19 when he returned the truck. For how many miles did he drive the truck?
Answer:
124 miles
Step-by-step explanation:
$14.99 + ($0.80 x m) = $114.19 (where m is miles driven)
$0.80m = $99.20
m = 124
A store has a 20% off sale on pants. With this discount, the price of one pair of pants before tax is $15.20.
What is the original price of the pants?
Answer:
19$
Step-by-step explanation:
Because 19$ 20% off=15.20 and you added taxes]
Have a great day :}
A 43-foot ladder is leaning against a building and forms a 29. 37° angle with the ground. How far away from the building is the base of the ladder? Round your answer to the nearest hundredth. 21. 09 feet 24. 20 feet 37. 47 feet 49. 34 feet.
Check the picture below.
Make sure your calculator is in Degree mode.
Help me pleaseeee! I beg u
Answer:
look at the pictures
Step-by-step explanation:
help ill give 5 stars if you get it correct
Answer:
B is the answer
Step-by-step explanation: Ok so the problem we are working with is
8 2/9-4 2/3. We will eliminate all the negative answers. So we only have 2 options. When we actually think logically B is the only possible answer.
Answer:
[B] [tex]2\frac{8}{9}[/tex]
Step-by-step explanation:
First of all, it not asking for the answer it asking for the first step.
Secondly, both number are positive (Before subtract)
Hence, this leads us to 2 more answer choices.
When model a number or a fraction on the number line you put the first Value on the number line then the second Value.
Therefore, we can conclude that [B] 2 8/9 is the correct answer.
[RevyBreeze]
The picture frames shown are both squares. The area of the smaller frame is 14 the area of the larger frame. Find the side length of the larger frame.
Answer: I think it helps with the square units that both squares have.
Step-by-step explanation:
Area of the smaller frame=9in^2
Area of the larger area
[tex]\\ \rm\hookrightarrow 9(14)=126in^2[/tex]
Si 4 x – 2 y = 6, entonces y =
Answer:
y = 6 - 4x ➗ -2
Step-by-step explanation:
4x - 2y = 6
-2y = 6 - 4
y = 6 - 4x