If your asking to select all that apply, The formula is arc length = θ ( r ) {\displaystyle {\text{arc length}}=\theta (r)} , where equals the measurement of the arc's central angle in radians, and r {\displaystyle r} equals the length of the circle's radius. Plug the length of the circle's radius into the formula.ABC,BAD,DCB
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For the points A and B, the major arc is the part of the circumference from A to B which contains the points E, D and C
What is arc in a circle and what are its classifications?For a circle, take two points on its circumference. That divides the circumference of the considered circle in two parts. Those both parts are called arcs of the circle. The bigger part will be called the major arc, and the smaller one will be called the minor arc.
When the two points are chosen such that they're the endpoints of one of the diameters of the considered circle, then both the arcs are of same length due to symmetry, so there is no concept of major or minor between them.
For this case, there are 5 points, as A, B, C, D, and E.
Since no option is given, so let we take two points which are not on the ends of any diameter.
The points A and B are good enough.
So, the smaller part of the circumference between A and B is the minor arc and the bigger part which contains points like E, D and C is the major arc.
A demonstration is given in the image attached below.
Thus, for the points A and B, the major arc is the part of the circumference from A to B which contains the points E, D and C (the bigger part).
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Simple interest I in dollars is calculated using the formula I=prt. Here, p represents the
principal, or amount, in dollars that is invested or borrowed; r represents the annual
interest rate, expressed as a percent; and t represents time, in years. Find the value of
the remaining variable in the simple interest formula. (Hint: Write percents as decimals.)
1 = $1080, r = 4%, t = 3 years
Answer:
129.6
Step-by-step explanation:
Figure ABCD is a parallelogram.
Parallelogram A B C D is shown. The length of A B is 4 y minus 2, the length of B C is 2 x + 2, the length of D C is 2 y + 6, and the length of A D is 3 x minus 1.
What is the perimeter of ABCD?
14 units
38 units
44 units
49 units
Answer:
It is 44
Step-by-step explanation:
The perimeter of the paralllelogram given is: 44 units.
What is the Perimeter of a Parallelogram?Perimeter = 2(a + b), where a and b are the legs of the sides adjacent to each other.
Given the following:
AB = 4y - 2BC = 2x + 2DC = 2y + 6AD = 3x - 1Since opposite sides of a parallelogram are equal, therefore:
4y - 2 = 2y + 6
4y - 2y = 2 + 6
2y = 8
y = 4
2x + 2 = 3x - 1
2x - 3x = -2 - 1
-x = -3
x = 3
Perimeter of the paralllelogram = 2(AB + AD) = 2(4y - 2 + 3x - 1)
Plug in the values of x and y
Perimeter of the paralllelogram = 2(4(4) - 2 + 3(3) - 1)
Perimeter of the paralllelogram = 2(16 - 2 + 9 - 1)
Perimeter of the paralllelogram = 44 units.
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Algebra 2 Problem! Rational Roots
Answer:
este no hablo inglés
The Marked price of a jacket at a dealer's shop is 2400. The dealer allows a discount of 15% to the retailer. As the company's policies the marked price of the retailer should be the same as the dealer's marked price. What SP should the retailer fix for the jacket? What would its final price be if 10% VAT is imposed? What would be the actual gain of retailer?
Ans
2280,2502,240
Answer:
2400
2640
360
Step-by-step explanation:
I am not sure the description is totally clear.
my assumptions are (based on my interpretations of the text) :
the retailer buys from the dealer with 15% discount.
but the retailer has to sell the jacket for the same price as the dealer.
so, both mark the sale price as 2400.
if the customer buys from the retailer, the retailer makes 15% profit (the discount he got from the dealer).
15% = 2400 × 15/100 = 24 × 15 = 360
the retailer makes this profit no matter what other fees or taxes are added.
if the customer buys from the dealer, the dealer makes these 15% and some more (we don't know how much) profit.
now, the final price is to include also 10% VAT
100% = 2400
1% = 2400 / 100 = 24
10% = 24 × 10 = 240
so,
final price = SP + VAT = 2400 + 240 = 2640
What is the value of x in the equation 6 +4x = 7
Answer:
x = - [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Given
6 + 4x = 7 ( subtract 6 from both sides )
4x = 1 ( divide both sides by 4 )
x = [tex]\frac{1}{4}[/tex]
Answer:
x = 1/4
Step-by-step explanation:
6 +4x = 7
collect terms
4x = 7 - 6
4x = 1
Divide both sides by 4
x = 1/4
Bye ! :-)
Which of the following is the solution set for -3t + 11 > 20?
t < 3
t > 3
t < -3
t > -3
Answer:
t < -3
Step-by-step explanation:
-3t + 11 > 20
subtract 11 from both sides
-3t > 9
Divide both sides by -3
when multipying or dividing by a negative the inequality must be reversed
t < -3
?...............................
Answer:
-2 ≤ n < 8
Step-by-step explanation:
_________________
A small pebble is stuck in Jim's bike tire. The wheel has a radius of 34 cm. Determine the equation of the function that expresses the height of the pebble from the ground in terms of the distance that the bike travels from the point where the pebble got stuck in the tire. How high off the ground will the pebble be after the tire has rolled 150 cm?
Answer:
distance = 68 pie x
Step-by-step explanation:
Hope this helps
square root of 129 is greater than, less than or equal to 95/8?
√129 is less than [tex] \frac{95}{8} [/tex].
[tex]\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}[/tex]
Let us first solve for √129.
➝[tex] \:\sqrt{129} [/tex]
➝[tex]\:11.3578[/tex]
Now,
➝[tex]\: \frac{95}{8} [/tex]
➝[tex]\:11.875[/tex]
Clearly,
➵[tex]\:11.3578 < 11.875[/tex]
➵[tex]\: \sqrt{129} < \frac{95}{8} [/tex]
Hence, √129 is less than [tex] \frac{95}{8}[/tex].
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35☂}}}}}[/tex]
-5+(-4)
Adding and subtracting intergers
Answer:
9
Step-by-step explanation:
Integer
2. Solve by finding square roots. 9x^2 = 25
A. 5/3
B. (-5/-3),(5/3)
C. 2/3
D. (-2/-3),(2/3)
7 of 8
The mean temperature for the first 7
days in January was 8°C.
The temperature on the 8th day was -1
°C.
What is the mean temperature for the
first 8 days in January?
°C
Answer:
6.875 degrees
Step-by-step explanation:
[tex]Total=7\times8=56\\56-1=55\\mean for 8 days=\frac{55}{8} =6.875 degrees[/tex]
plzz help 100 points
Part B
What is the measurement of angle G? Part C
Let the variable c represent the measurement of angle C. Use the measurement of angle G to write an equation that you can use to solve for c. Part D
What is the measurement of angle C?
Finishing the angles of the smaller triangle if E is 90 and F is 30 then G needs to be 180-90-30 = 60 degrees.
Angles G and C are supplementary angles which need to equal 180 degrees
Angle c = 180-g = 180-60 = 120
Angle c = 120 degrees.
Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , then Δ EGF
∠ G = 180° - (90 + 30)° = 180° - 120° = 60°
------------------------------------------------------------
c and g are adjacent angles and sum to 180° , then
c + g = 180° , that is
c + 60° = 180° ( subtract 60° from both sides )
c = 120
That is ∠ C = 120°
James inherited 19.5hectares of land from his father. The area of the land he inherited is 65% of the total land his father owned. Calculate the total area of the land that his father owned
Answer:
30 hectares
Step-by-step explanation:
Answer:
Step-by-step explanation:
Land area James inherited = 19.5 hectares
The area of the land he inherited is 65% of the total land his father owned.
Let
x = Total land his father owned
Land area James inherited = 65% of the total land his father owned
19.5 = 65% of x
19.5 = 65/100 * x
19.5 = 0.65 * x
19.5 = 0.65x
x = 19.5 / 0.65
x = 30
x = Total land his father owned = 30 hectares
Use the tax table to help answer the following question.
A 9-column table with 7 rows is shown. Column 1 is labeled If the wages are at least with entries 720, 740, 760, 780, 800, 820, 840. Column 2 is labeled But less than with entries 740, 760, 780, 800, 820, 840, 860. Column 3 is labeled And the number of withholding allowances is 0, the amount of income tax withheld is, with entries 80, 83, 86, 89, 92, 95, 98. Column 4 is labeled And the number of withholding allowances is 1, the amount of income tax withheld is, with entries 62, 65, 68, 71, 74, 77, 80. Column 5 is labeled And the number of withholding allowances is 2, the amount of income tax withheld is, with entries 44, 47, 50, 53, 56, 59, 62. Column 6 is labeled And the number of withholding allowances is 3, the amount of income tax withheld is, with entries 26, 28, 31, 34, 37, 40, 43. Column 7 is labeled And the number of withholding allowances is 4, the amount of income tax withheld is, with entries 14, 16, 18, 20, 22, 24, 26. Column 8 is labeled And the number of withholding allowances is 5, the amount of income tax withheld is, with entries 1, 3, 5, 7, 9, 11, 13. Column 9 is labeled And the number of withholding allowances is 6, the amount of income tax withheld is, with entries 0, 0, 0, 0, 0, 0, 1.
Luce is single and making $763 biweekly. She claims no federal withholding allowances. If the state tax is 19% of the federal tax, how much in state tax does Luce contribute? a.
$12.92
b.
$15.13
c.
$15.77
d.
$16.34
Answer: d. $16.34
Step-by-step explanation:
The table shows that if the wages are between 760 and 780 and there are no withholding allowances, the federal tax is $86.
Luce therefore has a federal tax of $86 as she falls in the bracket described.
If state tax is 19% of this, state tax is:
= 19% * 86
= $16.34
The amount of state tax which is contributed by the Luce for the no federal withholding allowances is $16.34.
What is federal income tax?Federal income tax is the tax which is used to develop and run the city or country and charged on the citizen residing there .
A 9-column table with 7 rows is given in the prooblem.
Luce is single and making $763 biweekly. She claims no federal withholding allowances.
This amount is come between the values of $760 and $780. If we look into the table provided into the problem, the federal tax for this slab is $86.
Now the state tax is 19% of the federal tax. Thus, the 19 percent of the federal tax $86 is,
[tex]\rm tax=86\times\dfrac{19}{100}\\tax=16.34[/tex]
Thus the amount of state tax which is contributed by the Luce for the no federal withholding allowances is $16.34.
Learn more about the federal income tax here;
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The box part of the box plot contains all the values between which numbers?
25
30
35
40
45
50
between 27 and 36 and between 37 and 40
between 32 and 36
оооо
between 32 and 37
O between 27 and 32 and between 37 and 40
Answer:
Between 32 and 37
Step-by-step explanation:
Here, we simply want to get the data portion represented by the box alone
we can see that the box starts from 32
It ends at the number 37
Note;
between each individual number on the plot, we have 5 small lines indicating an extra point
Find the total surface area of this square based pyramid. 10 in 5 in [ ? ]in?
Answer:
The answer is "[tex]125 \ in^2[/tex]"
Step-by-step explanation:
There is a base of five on every triangular face and a height of ten in. The field of the formulation
[tex]A = (\frac{1}{2})bh \\\\A = (\frac{1}{2} \times 5\ in \times 10\ in)[/tex]
[tex]= \frac{50 }{2} \ in^2\\\\=25 \ in^2\\\\[/tex]
The base of the square has a formula area
[tex]A = s^2 = (5\ in)^2 = 25 \ in^2[/tex]
The total area consists of the sum of the four-face area and the base: [tex]total \ \ area = 4 \times \text{(area of 1 face) + (area of base)}[/tex]
[tex]= 4 \times (25\ in^2 ) + 25 \ in^2 \\\\= 125 \ in^2[/tex]
The base of a triangle is 20m and its area is 250m.What is the height of the triangle
Answer:
the height of the triangle is 25
Answer:
height = 25 m
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here A = 250 and b = 20 , then
[tex]\frac{1}{2}[/tex] × 20 × h = 250 , that is
10h = 250 ( divide both sides by 10 )
h = 25 m
b / -7 = 4
solve question correctly
Answer:
b/-7=4
b=4*-7
b= - 28
Step-by-step explanation:
If this helps you mark as brainlist.!
Answer: -28
Variable/unknown - B
Numbers we know: -7 and 4.
How to solve: Use inverse division. The inverse of division is multiplication.
7 has a negative sign. However, 4 is positive.
N + P = N
P + N = N
Rules of integers:
If both the signs of the two numbers are the same, it will be positive.If both the signs of the two numbers are different, it will be negative.-7 is negative.
4 is positive.
Formula: N + P = N
-7 x 4 = -28
Final answer: -28
What is the approximate circumference of a circle that has a diameter of 15 inches?
Answer:
[tex]{ \tt{circumference \approx\pi \: d}} \\ \approx{ \tt{3.14 \times 15}} \\ \\ \approx47.124 \: inches[/tex]
Which 2 options are correct?
Answer:
A,C
Step-by-step explanation:
i took the test
A box of Lucky Charms costs $3.29 and you have a coupon that will save you 75 cents off 2 containers. What is the final price if you buy 2?
Which is the graph of y – 3 =-2/3 (x + 6)?
Answer:
see graph below
what is the domain of the function represented by the graph
Answer:
Domain: all real numbers
Step-by-step explanation:
The domain is the values that x can take
X can be any real number
Domain: all real numbers
Hello! I am simply looking for help, no this is not a test. Once again I am just looking for hints/help.
Answer:
No problem, here is a tip
Step-by-step explanation:
take each whole number then multiply it by the percent in decimal form. So if its 90% of 136 you do 136 * 0.9
Which glide reflection describes the mapping ABC to DEF?
(x, y) (x + 6, y – 1) and reflected across x = 0
(x, y) (x + 6, y − 1) and reflected across y = 0
(x, y) (x, y + 6) and reflected across y = 0
(x, y) (x + 7, y) and reflected across x = 0
Answer:
Option (2)
Step-by-step explanation:
To get the transformation applied in triangle ABC to map triangle DEF we will apply the following rules.
If a point A of triangle ABC maps the point D of triangle DEF,
Coordinates of point A → (-4, -5)
Coordinates of point D → (2, 6)
First point A is shifted to quadrant (4) from quadrant (3),
Rule for the translation,
A(x, y) → A'(x + 6, y - 1)
A(-4, -5) → A'(2, -6)
Followed by reflection across x-axis (y = 0)
A'(x, y) → D(x, -y)
A'(2, -6) → D(2, 6)
Therefore, Option (2) will be the answer.
Elsa, miguel and scott sent a total of 133 text messages over their cell phones during the weekend. Scott sent 8 fewer messages than elsa. Miguel sent 3 times as many messages as scott. How many messages did they each send?
Answer:
Scott sent 23 text, Elsa sent 16 and Miguel sent 64 test.
Step-by-step explanation:
A shop-keeper wants to charge 1.5 times
as much per toilet roll for offer B than offer A.
What is the price for offer B?
Answer:
ok so the equation would look like this
B=1.5A
so b is 1.5 times more then a
please help :DDDDDDD
Answer:
B 5/6 * -11/-7
Step-by-step explanation:
-5 / -7 = 5/7
-11/-6 = 11/6
Multiply
5/7 * 11/6
Rewriting
5/6 * 11/7
We can make the 11 and the 7 negative (-11/ -7 = 11/7)
5/6 * -11/-7
Escribe un número de tres cifras digamos a1b1c1, en el cual a1 sea distinto de c1; ahora invierte los dígitos a1 y c1, (obtendrás el número c1b1a1 ); resta el número menor al número mayor, es decir a1b1c1 - c1b1a1 o bien c1b1a1 - a1b1c1, obtendrás como resultado un número de tres cifras, digamos a2b2c2 (es posible que a_2=0 ); invierte los dígitos a_2 y c_2. Finalmente suma los números a2b2c2 y c2b2a2 . ¿Qué número obtuviste?
Answer:
El número obtenido es:
1089.Step-by-step explanation:
Vamos a escoger tres números sencillos para cada variable como:
a1 = 1b1 = 2c1 = 3Por lo tanto, nuestro número de tres cifras es:
123 (la única pauta es que a1 sea diferente a c1 y con este número la cumplimos)Ahora, nos dice que invirtamos los números a1 y c1, por lo tanto, nuestro nuevo número de tres cifras sería:
321A continuación, nos menciona que restemos el menor del mayor, en este caso, nuestro número menor es 123 y el mayor es 321, por lo tanto:
321 - 123 = 198 (Este resultado será el mismo sin importar cuáles números elijas para el ejercicio)Como obtuvimos el número 198, se podría decir que:
a2 = 1b2 = 9c2 = 8Ahora nos piden que invirtamos a2 y c2, por lo tanto nuestro nuevo número sería:
891Y por último, nos solicita que sumemos los dos últimos números obtenidos, entonces tenemos:
891 + 198 = 1089Por lo tanto, el número obtenido al final es 1089, el cual obtendrás sin importar qué número de tres cifras elijas al inicio, siempre y cuando no se repitan el primero y el tercer dígito.