Answer: 91/200
Step-by-step explanation: i got it right on the quiz.
Answer:
C
Step-by-step explanation:
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 -
brainly.com/question/14591508
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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.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:
Test Direction: Find the measure of <s. Write the answer on the space provided.
Answer:
16. 40°
17. 40°
18. 50°
19. 45°
20. 135°
Step-by-step explanation:
16. angles opposite to each other are equal
17. 180 - 140 = 40
18. 90 - 40 = 50
19. 65 + 70 = 135
180 - 135 = 45
20. 145 + 80 = 225
360 - 225 = 135
hope this helps :)
Somebody gets this all correct I will give them 20 points it is two step equations and it’s addition subtraction multiplication and division
What’s the answer in neeeeeeeeed it………
Answer:
10x
Step-by-step explanation:
If f(x) is a polynomial of degree 4, and g(x) is a polynomial of degree 2, then what is the degree of polynomial f(x) - g(x)?
Answer:
4
Step-by-step explanation:
ㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇ
Simplify to a single power of 4:
Answer:
[tex]4^8[/tex]
Step-by-step explanation:
Formula: [tex](a^b)^c = a^{bc}[/tex]
Solve:
[tex](4^2)^4[/tex][tex]4^{2*4}[/tex][tex]4^8[/tex]-Chetan K
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:
https://brainly.com/question/24768934
The parking garage at the airport has 4750 empty parking spaces and 250 full parking spaces. What percent of the spaces in the garage are empty write your answer using a %
Answer:
I'd say around 95% or 94.737%
Step-by-step explanation:
4750 - 250 = 4500
4750/250 = 1/19
1/19 = 0.052 or close to 5%
4750 x 94.737% = 4500.0075
I hope this helps!
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
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
Graph the line that passes through the points (0,-5) and (-5,_6)
Answer:
Step-by-step explanation:
First find the slope(m) between (0,-5) and (-5,-6)
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = [tex]\frac{-6-(-5)}{-5-0}[/tex] = [tex]\frac{-1}{-5}[/tex] = [tex]\frac{1}{5}[/tex]
y = [tex]\frac{1}{5}[/tex]x -5
I attached the graph. I used desmos.
Hope that helps!
Write the equation of the line in slope-intercept form.
the question is 80y and 8x
The equation of the line in slope-intercept form is
Answer:
Y =mx/10+c/80
Point(8x, 80y) lies on Y =mx +c
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.
1/2+2/3 PLEASE HELP AND DONT DO IT LIKE 1.083333333 MY TEACHER DOESNT ALLOW THAT PLEASE HELP ME
Answer:
7/6 or 1 1/6
Step-by-step explanation:
when you add or subtract fractions, you have to have a common denominator. in this case, your common denominator is 6
1/2=3/6
2/3=4/6
add the numerators and keep the denominator 6
4+3=7
7/6 or 1 1/6
20) A school orders 26 packs of pencils. Each pack contains 12 boxes of 12 pencils. The
pencils are to be shared equally among the 14 classes in the school. To the nearest whole
number, how many pencils will each class be given?
Answer:
266
Step-by-step explanation:
26*12*12/14
sounds
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
0.25(2/3y-5+1/3y-7-9y)=0.25
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 someone please help me.
Answer: B
Step-by-step explanation:
Can anyone please help me with this? I need help really soon!
Answer:
(x,y)=(19/5,-6/5) I'm not sure it's right, but hopefully it is
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.
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.
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 :}
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 help! Find the value of c in the isosceles trapezoid.
Answer:
u lookn hot tonight baby
Step-by-step explanation:
what is the sum of the measures of the exterior angles of a decagon?
Answer:
360°
Step-by-step explanation:
The sum of the exterior angles of any polygon is 360°
sum of exterior angles of decagon = 360°
Help me pleaseeee! I beg u
Answer:
look at the pictures
Step-by-step explanation:
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]