Answer:
Step-by-step explanation:Draw a straight line using the protractor. This will be the center line of your circle (dividing it into semi-circles).Align the protractor so that both 0° and 180° lie on the center line. Mark the center point.Trace the semicircle along the protractor from 0 ° to 180°.
Put the protractor on the other side of the center line, again with both the 0°and 180° marks on the center line.[1]Complete the circle by tracing along the protractor.
Calculate the angle between adjacent vertices, α. Since a circle has 360°, divide 360° by n, the number of vertices (or sides) to get α.[2]
α=360°/n
α is the measured angle between lines drawn from the center of the circle to adjacent vertices.
For a dodecagon, n=12. A dodecagon has 12 sides and 12 vertices, so 360° divided by 12 is 30°, and α=30°.
Mark a point for each of the successive angles. Using the protractor, mark on the circumference of the circle all the multiples of angle α calculated above.[3]
Join the points marked on the circle with a line segment.[4] For a dodecagon there should be 12 marks and 12 sides, because it has 12 vertices. Don’t overlap the line segments.
If your points are outside of the circle, then simply mark another point along the radial line from the center onto the circle for each point and then join them.
Check to see that the sides are the same length. If they are, you can erase the circumscribed circle.Finished.
Find the greatest common factor (GCF) of 64 and 72.
A. 4
B. 8
C. 9
D. 12
SUE
Answer:
8 is the answer. hope you are clear now.
f(x) = x + 6 , find the ordered pair when x = -2.
Answer:
(-2,4)
Step-by-step explanation:
-2+6=4
There are 5 rainbows that total 100
miles in length. What is the mean
length of the rainbows?
8
Answer:
20 is the mean length of rainbows
30. f(x) = |x|; reflection in the y-axis followed by a
translation 3 units right
Answer:
[tex]g(x) = |x-3|[/tex]
Step-by-step explanation:
We are given the parent function:
[tex]f(x) = |x|[/tex]
And we want to find the equation after a reflection in the y-axis followed by a translation of three units right.
To reflect a function over the y-axis, we multiply the input by a negative. That is:
[tex]\displaystyle f(x) \rightarrow f(-x)[/tex]
In other words, a reflection over the y-axis will be given by:
[tex]f(-x) = |-x|[/tex]
To shift horzontally, we add if we are moving leftwards or subtract if we are moving rightwards. That is:
[tex]f(x) \rightarrow f(x-k)[/tex]
Where k is the horizontal translation.
Since we are translating three units rightwards, k = 3. Hence:
[tex]\displaystyle f(-(x-3)) = |-(x-3)|[/tex]
Recall that |ab| = |a||b|. Hence:
[tex]\displaystyle f(-(x-3)) = |-(x-3)| = |-1||(x-3)| = |x-3|[/tex]
Hence, f reflected over the y-axis followed by a translation of three units right is given by:
[tex]g(x) = |x-3|[/tex]
7
If 8(x - 2y) = 16x, then what is x in terms of y?
Answer: y = -1/2x
8(x - 2y) = 16x
8x -16y = 16x
-16y = 16x-8x
-16y = 8x
-16y/-16= 8x/-16
y = -1/2x
Which graph is the graph of the function
r(x)=x^2+6x+8/2x+8?
Answer:
A is the answer
it's was helpful to you
Option (A) is correct.
To distinguish between the graph.
What is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
It is given that :
r(x)=[tex]\frac{x^{2}+6x+8 }{2x+8}[/tex]
To solve by the division method the points are (-2,0) and (0,1).
So, Option (A) is correct.
Learn more about graph here:
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URGENT WILL MARK BRAINLIEST
Show your work and solve for x and y.
3x + y = 8
2x + 4y = 12
Answer:
x=2, y=2
Step-by-step explanation:
3x + y = 8
2x + 4y = 12
Multiply the first equation by -4
-12x -4y = -32
Then add to the second equation
-12x -4y = -32
2x + 4y = 12
------------------------
-10x + 0y = -20
-10x = -20
Divide by -10
-10x/-10 = -20/-10
x =2
Now find y
3x+y = 8
3(2)+y = 8
6+y = 8
y = 8-6
y =2
Answer:
[tex]\huge\boxed{\sf Solution Set = \{(2,2)\}}[/tex]
Step-by-step explanation:
3x + y = 8 ----------------------(1)
2x + 4y = 12 -------------------(2)
Multiply Eq. (1) by 4
4(3x+y) = 8*4
12x + 4y = 32 -----------------(3)
Subtract Eq. (3) from (2)
2x + 4y - (12x + 4y) = 12 - 32
2x + 4y - 12x - 4y = -20
2x - 12x = -20
-10x = -20
Divide both sides by -10
x = 2
Put x = 2 in Eq. (1)
3(2) + y = 8
6 + y = 8
Subtract 6 to both sides
y = 8 - 6
y = 2
Solution Set = {(x,y)} = {(2,2)}
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!Select the correct answer.
Find the inverse of function f. F (x) = 1/3x -2
Answer:
D. F-1(x) = 3x + 6
Brainliest, please!
Step-by-step explanation:
y (F(x)) = 1/3x - 2
x = 1/3y - 2
x + 2 = 1/3y
y (F-1(x)) = 3x + 6
Answer:
your answer should be D.
Step-by-step explanation:
write the equation of a line in slope intercept form y=mx+b m=6, (0,5)
Answer:
m is the slope so plug in y=6x+b
and b is the y intercept so the equation is y=6x+5
Step-by-step explanation:
Alyssa bought 2 packs of football cards for $4.62 each, and a deck of Digimon cards
for $11.47 with two $20 bille, Alyssa found $7.72 in her pocket. How much change
did Alyasa get?
Hello :D
2 x $4.52 = $9.04
$9.04 + $11.47 = $20.51
2 x $20 = $40.00
$40.00 - $20.51 = $19.49
With change:
$40.00 + $7.72 = $47.72
$47.72 - $20.51 = $27.21
The zoo in Samir's city is building a new habitat for its 7 spider monkeys. The habitat will
have trees, ladders, and vines in a cube-shaped cage that measures 14 meters on each side.
What is the volume of the new monkey cage?
[tex]v = 2744 {m}^{3} [/tex]
Step-by-step explanation:
cube-shaped, 14m on each side.
volume...?
[tex]v = 14 \times 14 \times 14 [/tex]
[tex]v = {14}^{3} [/tex]
[tex]v = 2744 {m}^{3} [/tex]
The volume of the new monkey cage is 2744m^3
How to find the volume of cuboid?Let the three dimensions(height, length, width) be x, y,z units respectively.
Then the volume of the cuboid is given as
[tex]V = x \times y \times z \: \rm unit^3[/tex]
The formula for the volume of cuboid is V = s * s * s;
Where, s= side of the cage
s = 14 meters
V = 14 * 14 * 14
V = 2744 m^3
Therefore, the volume of cuboid will be 2744m^3
Learn more about volume;
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10. The translation (x, y) = (x + 10, y-6) is applied to ABC to create a new image A'B'C'. Graph
A'B'C' on the coordinate plane.
Answer:
here you go mate.
These are the solutions
A food company distributes its tomato soup in two cans of different sizes. For the larger can, the diameter has been increased by , and the height remains the same. By what percentage does the volume of the can increase from the smaller can to the larger can
Answer:
Step-by-step explanation:
buenas tardes .....
solucion
Volumen de un cilindro: es igual al área de la tapa por la altura del mismo
A = πD² * h / 4
Lata grande y lata pequeña
Para la lata grande, el diámetro y la altura han aumentado un 20%.
Lata pequeña:
d = 4 cm
h = 3 cm
A 1 = π * (4) ² * 3/4
A1 = 37,70 cm²
Lata grande:
d = 4 * 1,2 = 4,8 cm
h = 3 * 1,2 = 3,6 cm
A2 = π (4,8) ²3,6 / 4
A2 = 65,14 cm²
Si 37,7 representa el 100%
65,14 representación x
x = 170%
El incremento del volumen es de un 70%
Please help explanation if possible
Answer:
Step-by-step explanation:
Perimeter = 2W + 2L
160 = 2W + 2L
width = 16 feet less than length
W = L - 16 ------------(I)
Finding the dimensions of the court:
2W + 2L = 160
2*(L-16) + 2L = 160 {from (I) }
2*L - 2*16 + 2L = 160 {Distributive property}
2L - 32 + 2L = 160
2L + 2L - 32 = 160 {Combine like terms}
4L - 32 = 160 {Add 32 to both sides}
4L = 160 +32
4L = 192 {Divide both sides by 4}
L = 192/4
L = 48
W = 48 - 16
W = 32
Which equation has the same solution as x2 + 16x + 9 = -3?
Answer:
Step-by-step explanation:
x² + 16x + 9 = - 3
x² + 16x + 12 = 0
D = 16² - 4(1)(12) = 208
√D = 4√13
[tex]x_{1}[/tex] = ( - 16 - 4√13 ) ÷ 2 = - 8 - 2√13 ≈ - 15.21
[tex]x_{2}[/tex] = ( - 16 + 4√13 ) ÷ 2 = 2√13 - 8 ≈ - 0.79
The cube of the difference of a number and 4
Answer:
(x - 4)³
Step-by-step explanation:
"The cube of x" would be x³. The difference of a number and 4 would be x - 4.
Therefore, "the cube of the difference of a number and 4" would be
(x - 4)³
help pls its ez :))))))))))))))))
Answer:
Yes
Step-by-step explanation:
6 × 18.75 = 112.50
8 × 18.75 = 150.00
11 × 18.75 = 206.25
A car travels 120km/h. How long does it take to travel in 30 minutes?
Footnote
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A car travels 120km/h. How long does it take to travel in 30 minutes?
Answer:
60 km
"How long does it take to travel 30 minutes"... 30 Minutes !
If you want to know how FAR did it travel in 30 minutes then
that would be 60 km
Step-by-step explanation:
Answer:
60km
Step-by-step explanation:
distance= speed × time
=120×(30/60)
=60km
How do u find surface area???
Question 12
evaluate
Answer:
-12.8
Step-by-step explanation:
Replace the letters with the respective values ( a = 4, b = 2, c = 3).
So (-3a+4b)^3 would become (-3 (4) + 4 (2))^3 = (-12 + 8)^3 = -4^3 = -64
And the bottom part (2c -1) would become (2 (3) - 1) = 6-1 = 5
So the final result would be -64 / 5 which is approximately -12,8
Which inequality is true?
What is 50x30 I really need to know
Answer:
1500
Step-by-step explanation:
Basically 5*3 then add the two zeroes. One from 50 and 30.
Okay guys please help and explain it accurately and solve please so I can understand it. This is for 100 points!
-6a + 10 = -27
-6a + 10 = -27
First step: subtract 10 from both sides:
-6a = -37
Now divide both sides by -6:
A = -37/-6
Simplify:
A = 37/6
Answer:
a = 37/6
Step-by-step explanation:
-6a +10 = -27
Subtract 10 from each side using the subtraction property of equality
-6a+10-10 = -27-10
-6a = -37
Divide each side by -6 using the division property of equality
-6a/-6 = -37/-6
a = 37/6
What are the solutions of this quadratic equation?
x^2 + 4 = 8x + 5
Answer:
x=4±sqrt(17)
Step-by-step explanation:
x^2+4=8x+5
x^2-8x-1=0
Use quadratic formula
x=(8±sqrt(64+4))/2
Simplify it
x=4±sqrt(17)
Let f:R+ R be defined by f(x)= ax+b, x £ R. If f(1) =5 and f(-4)= - 5, find the values of a and b and find the function f(x).
Answer:
a=2 b=3
Step-by-step explanation:
all you'll gat in pic
The cost of a repair, which depends on the hours of labor it takes to make the
repair, is $200. Which of the following best shows this is
otation?
A. Hours($200) = cost
B. Hours(cost) = $200
C. Cost(hours) = $200
D. Cost($200) = hours
Answer:
I think it's B. Hours(cost) = $200 but I could be wrong
x-3(x+2)>4
solve for inequality
Answer:
[tex]x - 3(x + 2) > 4 \\ x - 3x - 6 > 4 \\ - 2x > 4 + 6 \\ - 2x > 10 \\ x = 10 \div ( - 2) \\ x = - 5[/tex]
hope it helps.stay safe healthy and happy.**Answers needed fast**
Actual perimeter:-
[tex]\\ \tt\longmapsto 0.251\times 1000[/tex]
[tex]\\ \tt\longmapsto \dfrac{251}{1000}\times 1000[/tex]
[tex]\\ \tt\longmapsto 251m[/tex]
) Erin owes her mom $25. She borrows another $15 from her mom. What is her balance now, that she owes her mom?
Answer:
$40
Step-by-step explanation:
she owed $25 at first then she borrowed $15 so now she owed her $40.
25+15=40
Answer:
40
Step-by-step explanation:
Once you add 25 and 15
5+5=10
so you put the 1 over the 2 than add 2+1 and add 1 from the 10.
So the answer is 40
urgent answer needed pls
Answer:
48 cm²
Step-by-step explanation:
PTRS is parallelogram with the base length= 8cm and the height as same as the height of ∆SUR.
the height = 2×24/8 = 6cm
so, the area of PTRS= 8×6 = 48 cm²