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.
URGENT!!
1-84. Find the perimeter and area of each figure.
9.85 m
15 m
9 m
Answer:
total = 99m² + 39.4m²
= 148.4m²
where does 0.5 goes on a real number line
Cupcakes Promotion All cupcakes at $2 each !
Buy 8 and get 1 free!
How many cupcakes will Fatimah get if she paid $80 during the promotion?
Answer:
45
Step-by-step explanation:
....................
Hey there! I'm happy to help!
We see that the cupcakes are $2, but for every 8 you buy you get 1 free.
So, if we buy 8 cupcakes, we will be paying $16, but we will actually be receiving 9 donuts, so that means that for every $16 we pay, we get 9 donuts.
Let's see how many times $16 goes into $80.
80/16=5
So, this means that our $16 that gives us 9 donuts was done 5 times, which totals up to 80 dollars. Let's multiply our donuts now.
9*5=45
So, Fatimah will get 45 donuts during the promotion.
Have a wonderful day and keep on learning! :D
rationalise 2 divided by 2 square root 3
Answer:
[tex]\displaystyle \frac{\sqrt{3}}{3}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{2}{2\sqrt{3}} = \frac{1}{\sqrt{3}} = \boxed{\frac{\sqrt{3}}{3}}[/tex]
I am joyous to assist you at any time.
RS is the segment bisector. If OQ = 32 and PO = 4x,
what does x equal?
4
8
36
128
pls help
Answer:
8
Step-by-step explanation:
Bisectors are lines that divide an angle into two equal parts. The value of x of OQ is equal to PO is 8
Angle bisectorsBisectors are lines that divide an angle into two equal parts. If RS is the segment bisector and given the following parameters:
OQ = 32
PO = 4x,
This shows that OQ = PO that is:
32 = 4x
Swap
4x = 32
x = 8
Hence the value of x of OQ is equal to PO is 8
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I need help on what to do I would gladly appreciate if you can help
Answer:
9.89 or 7 radical 2
Step-by-step explanation:
Acellus
Complete the data table for the function
f(x) = -x-2 + 2.
Х
-2
-3
-6
-11
Y
[?]
Enter
Answer:
x= -6 —> y= 4
x= -11 —> y= 5
Step-by-step explanation:
x= -6 —> y= 4
[tex]f( - 6) = \sqrt{ - ( - 6) - 2} + 2 \\ = \sqrt{6 - 2} + 2 \\ = \sqrt{4} + 2 \\ = 2 + 2 \\ = 4[/tex]
x= -11 —> y= 5
[tex]f( - 11) = \sqrt{ - ( - 11) - 2} + 2 \\ = \sqrt{11 - 2} + 2 \\ = \sqrt{9} + 2 \\ = 3 + 2 \\ = 5[/tex]
I hope I helped you^_^
The value of the function f(x) for the corresponding x = -6 and x =-11 is equal to 4 and 5 respectively.
The function f(x) = √( -x -2) + 2
The value of x and f(x) are ,
x : -2 -3 -6 -11
f(x) : 2 3 ? ?
Now to find the missing value of f(x) substitute the value of x in f(x) we have,
When x = -6
f(x) = √( -x -2) + 2
⇒ f(x) = √( -( -6) -2) + 2
⇒ f(x) = √(6) -2) + 2
⇒ f(x) = √(4) + 2
⇒ f(x) = 2 + 2
⇒ f(x) = 4
And when x = -11
f(x) = √( -x -2) + 2
⇒ f(x) = √( -( -11) -2) + 2
⇒ f(x) = √(11) -2) + 2
⇒ f(x) = √(9) + 2
⇒ f(x) = 3 + 2
⇒ f(x) = 5
Therefore, the missing values of the function are 4 and 5.
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Convert 6 kilograms into pounds. Round your answer to the nearest tenth.
[tex]\boxed{\sf 1kg=2.205lbs}[/tex]
[tex]\\ \sf\longmapsto 6kg[/tex]
[tex]\\ \sf\longmapsto 6(2.205)[/tex]
[tex]\\ \sf\longmapsto 13.23lbs[/tex]
Carla bought a crate of red and green apples for her bakery. The crate had 140 red apples, which were 40% of the apples in the crate. How many apples were in the crate?
Answer:
350
Step-by-step explanation:
Do 140/0.4=350
Answer:
350 apples
Step-by-step explanation:
a = total number of apples in the crate
a* 40% = number of red apples
a * .40 = 140
Divide each side by .40
a * .40/.40 = 140/.40
a =350
how does the surface area of a cone change if the radius doubles?
how would you solve this algebraically?
Answer:
it changes because the radius has expanded
hi how to solve this question n(n+1)2
; where n=9
Answer:180
Step-by-step explanation:
.
Answer:
2×9(9+1)
18(10)
.180.
Solve for h in the equation 15-2h=6
Answer:
-2h =6-15
-2h =-9
h=-9/-2
h=4.5
Step-by-step explanation:
please follow meGraph the line that passes through the points (-4, -6) and (-2, -7) and
determine the equation of the line.
143153363335
Answer:
y = -1/2x - 8
Step-by-step explanation:
Slope: ( -7 - - 6 )/(-2 - - 4) = (-7+6)/(-2+4) = -1/2
Point : (-4,-6)
y - - 6 = - 1/2(x - - 4)
y+6= - 1/2(x+4)
y+6= - 1/2x - 2
y = - 1/2x -2 -8
y = -1/2x - 8
Please no links because they dont work :).
Answer:
C
Step-by-step explanation:
Factor: Something which is multiplied by something else. A factor can be a number, variable, term, or a longer expression. For example, the expression 7x(y+3) has three factors: 7 , x , and (y+3) .
Solve for (x,y,z)
x + 5y + 5z = -10
x + y +z= 2
x + 2y + 3z = -3
Answer:
(5, -1, -2)Step-by-step explanation:
Given system:
x + 5y + 5z = -10 x + y + z = 2 x + 2y + 3z = -3Eliminate one of the variables.
Subtract the second equation from the first and from the third equation:
x + 5y + 5z - x - y - z = -10 - 2 ⇒ 4y + 4z = -12 ⇒ y + z = -3x + 2y + 3z - x - y - z = -3 - 2 ⇒ y + 2z = -5Now subtract the first equation above from the second to solve for z:
y + 2z - y - z = -5 + 3z = -2Find y:
y + z = -3y - 2 = -3y = 2 - 3y = -1Now find x:
x + y + z = 2x - 1 - 2 = 2x - 3 = 2x = 2 + 3x = 5The solution is:
(5, -1, -2)Question : -4+12+(-7)
Answer:
1
Step-by-step explanation:
it just is
Help me pleaseee!!
Would appreciate ^^
**BRAINLIST, thanks and points***
Answer:
4900
Step-by-step explanation:
because it is square root of 70 and it means
sol?
square of 70 =70²=70×70=4900
Answer:
22. 30
prime factorization of 30
2 × 3 × 5
so there is no simplification needed here
23. 126
2 × 3 × 3 × 7
simplification
2 × [tex]3^{2}[/tex] × 7
24. 4900
2 ×2 × 5 × 5 × 7 ×7
simplification
[tex]2^{2}[/tex] × [tex]5^{2}[/tex] × [tex]7^{2}[/tex]
25. 39204
2 × 2 × 3 × 3 × 3 × 3 × 11 × 11
simplification
[tex]2^{2}[/tex] × [tex]3^{4}[/tex] × [tex]11^{2}[/tex]
26 .
Yes 4900 is a square number it's square root is 70
you can even cross-check
70 × 70
= 4900
and even 39204 is a square number it's square root is 198
you can even cross-check
198 × 198
= 39204
Hence 2 numbers 4900 and 39204 are square numbers
27 .
i. highest common factor of 30 and 126
factors of 30 are 2 × 3 × 5
factors of 126 are 2 × 3 × 3 × 7
now find common between them
common factors are 2 and 3
so multiply 2 and 3
2 × 3
= 6
6 is the highest common factor
ii. 126 and 39204
factors of 126 are 2 × 3 × 3 × 7
factors of 39204 are 2 × 2 × 3 × 3 × 3 × 3 × 11 × 11
now find common between them
common factors are 2 × 3 × 3
= 18
18 is the highest common factor
28 .
1 . 126 and 4900
factors of 126 are 2 × 3 × 3 × 7
factors of 4900 are 2 ×2 × 5 × 5 × 7 ×7
make the pairs of the numbers
2 ×2 × 5 × 5 × 3 × 3 × 7 ×7
= 44100 least common multiple
ii. 4900 and 39204
factors of 39204 are 2 × 2 × 3 × 3 × 3 × 3 × 11 × 11
factors of 4900 are 2 ×2 × 5 × 5 × 7 ×7
make the pairs of the numbers
2 ×2 × 3 x 3 x 3 x 3 x 5 x 5 x 7 x 7 x 11 x 11
= 48024900 least common multiple
Part B
Can image 2 be the reflected figure? Explain your answer.
Answer:
Yes it can be be the reflected figure
Which fraction on number lin is equal to 3
Answer:
12/4
Step-by-step explanation:
12/4
= 3/1
= 3
So, 12/4 = 3
[tex]\sqrt{9x^2[/tex]
Answer:
3x
Step-by-step explanation:
[tex] \sqrt{9 {x}^{2} } [/tex]
[tex] \sqrt{9} \sqrt{ {x}^{2} } [/tex]
[tex] \sqrt{ {3}^{2} } \sqrt{ {x}^{2} } [/tex]
[tex] \sqrt{ {3}^{2} } x[/tex]
[tex] = 3x[/tex]
Factoring binomials with the difference of squares
Answer:
Step-by-step explanation:
put the following equation of a line into slope intercept form simplifying all fractions 5x + 2y = -6
Answer:
The general equation of a slope-intercept form is as below;
[tex]y = mx + c[/tex]
m » slope / gradient
c » y - intercept
x » x - intercept
Since our equation is 5x + 2y = -6, make y the subject:
[tex]5x + 2y = - 6 [/tex]
subtract 5x from either sides:
[tex](5x + 2y) - 5x = - 6 - 5x \\ 2y = - 5x - 6[/tex]
apply the division rule of equality:
[tex] \frac{2y}{2} = \frac{ - 5x}{2} - \frac{6}{2} \\ \\ { \boxed{ \boxed{answer : \: y = - \frac{5}{2} x - 3}}}[/tex]
slope » -5/2
y - intetcept » -3
Work out the AREA OF A REGULAR DECAGON which is inscribed in a circle that has radius of xcm. Give your ans in terms of x
express each of the following in standard form 0.000000000221
Answer:
[tex]2.21 \times {10}^{ - 10} [/tex]
Step-by-step explanation:
When we shift (.) from left to right in scientific notarion, the power of 10 varies in negative numbers according to how many numbers we shift.
I would like to know how to solve these sort of questions
Answer:
Step-by-step explanation:
10) First find the capacity of the swimming pool.
Volume of the swimming pool= length * depth *width
= 15 * 1.5 * 5
= 112.5 cubic meter
1 cubic meter= 1000 liters
112.5 cubic m = 112.5* 1000 = 112,500 liters
Quantity of salt added to every 10 000 liters = 2 Kg
Quantity of salt added to 112,500 liters = [tex]\dfrac{2}{10000}*112500[/tex]
= 22.5 Kg
b-8y when b=-6 and y=4
Answer:
-38
Step-by-step explanation:
b-8y
(-6)-8(4)
-6-32
-38
hope it helps youplease follow meFill in the blanks in the following sentence from the choices below describing the Real number system. 1 The _____ numbers, are fully contained in the _____ numbers, which are fully contained in the _____ numbers which are fully contained in the _____ numbers.
Choose from the words:
Integer, Irrational, Natural, Rational or Whole.
Answer:
1. Natural
2. Whole
3. Integer
4. Rational
The correct answer would be as: The Real number system. 1 The "Natural" numbers are fully contained in the "Whole" numbers, which are fully contained in the" Integer "numbers which are fully contained in the "Rational "numbers.
What are Natural Numbers?Natural numbers are defined as which range from 1 to infinity, are the most fundamental sort of numbers. Commonly known as positive numbers or counting numbers, these numbers. Natural Numbers are represented by the symbol N.
For example 1, 2, 3, 4, 5, 6, and so on.
What are Integers?Integers are defined as the collection of Whole Numbers and the negative values of Natural Numbers make up an integer. Fractional numbers are not included in integers. Integers are represented by the symbol Z.
The Real number system. 1 The "Natural" numbers are fully contained in the "Whole" numbers, which are fully contained in the" Integer "numbers which are fully contained in the "Rational "numbers.
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HHHHEEELPPPPPPPPPPRPOFE
Answer:
12.75
Step-by-step explanation:
Given the equations
x - y = 3.5 → (1)
[tex]\frac{x+y}{2}[/tex] = 11 ( multiply both sides by 2 to clear the fraction )
x + y = 22 → (2)
Add (1) and (2) term by term to eliminate y
2x + 0 = 25.5
2x = 25.5 ( divide both sides by 2 )
x = 12.75
Substitute x = 12.75 into (2)
12.75 + y = 22 ( subtract 12.75 from both sides )
y = 9.25
The 2 numbers are 12.75 and 9,25
With the larger number being 12.75
Find the equation of the line that contains the point (1,-5) and has a slope that is undefined. Express the equation using either the general form or the slope-intercept form of the equation of a line.
The equation of the line is
Answer:
x=1
Step-by-step explanation:
Since the slope is undefined, it's of the form x=a and since it passes through (1,-5) the equation is x=1
The equation of the vertical line in slope-intercept form is: x = 1.
What is the Equation of a Vertical Line?A vertical line has an undefined slope and therefore has no y-intercept. the equation of a vertical line is therefore expressed as, x = a, where a is the x-intercept, which is the value of x of the point where the vertical line intersects the x-axis..
Given the point (1, -5), since the line has an undefined slope, the equation in slope-intercept form would be: x = 1.
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) Kim made $157.50
for 7 hours of
babysitting. What is
her hourly pay?
Answer:
$22.50 I believe...
Step-by-step explanation:
157.50 divided by 7
??
Answer:
$22.50 per hour
Step-by-step explanation:
157.50 = 7x
157.50 / 7 = 22.5
22.5/hour
If my answer is incorrect, pls correct me!
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-Chetan K
