The regular polygon below is rotated about its center . Which angle of rotation will carry the figure onto itself ?
Answers is 3
360° = 72° 216o is a multiple of 72
The angle of rotation will carry the figure onto itself is 216 degrees
The measure of angle at the center of the polygon is 360 degrees. i.e.
[tex]\theta = 360^o[/tex]
The number of sides of the regular polygon is 5. i.e.
[tex]n = 5[/tex]
So, the smallest angle of rotation that maps the polygon onto itself is
[tex] = \frac{\theta}{n}[/tex]
This gives
[tex]\alpha = \frac{360}{5}[/tex]
[tex]\alpha = 72[/tex]
Other angles that map the shape onto itself, must be a multiple of 72. i.e.
[tex]\alpha = 72, 144, 216,288,360....[/tex]
Hence, the angle of rotation will carry the figure onto itself is 216 degrees
Read more about regular polygons at:
https://brainly.com/question/1592456
please help me thank you
Arya deals in clothing and accessories. She bought 10 shirts at a wholesale price of 1120 each and sold them
all at a profit of 40 percent.
What was the price Arya charged for the 10 shirts?
Answer:
15680
Step-by-step explanation:
Cost of 1 shirt: 1120
Cost of 10 shirts: 11200
Add 40% to the cost of 10 shirts:
40% + 100% = 140% = 1.4
1.4 * $11200 = 15680
Answer: 15680
please help need help djhdhdhdj
Answer:
SAS
Step-by-step explanation:
Help I don’t get it pls help
Answer:
The average speed would be 10.1 kilometers per hour.
Step-by-step explanation:
If we convert both times into minutes, it will make solving this much easier. After finding the speed for both legs, we can find the average by adding the two values together and dividing by 2. This results in 10.11430568 or can be rounded to 10.1.
HURRY 20POINTS AND BRAINLIEST
Kareem threw a basketball from the basketball court toward the hoop. The function that models the height, in
feet, of the ball after a seconds is h(t) = -16t^2 +12t +8 If the hoop is 10 feet high, how long is the
ball in the air before it goes through the hoop?
Answer:
1/2 of a secondStep-by-step explanation:
Given function:
h(t) = -16t^2 +12t +8Finding the value of t when h(t) = 10 feet:
10 = -16t^2 +12t +8-16t^2 +12t - 2 = 08t^2 - 6t + 1 = 0t = (6 ± √6²-8*4)/16 = (6 ± √4)/16 = (6 ± 2)/16 t = 1/2t = 1/4There are two solutions. 1/2 of a second would be the answer as the ball should go up and then down to go through the hoop.
what are the relative max and min. of this graph?
Relative Max is 6
Relative Min is -8
Based on the scatterplot, which is the best prediction
of the number of gallons of water used by this
business when the cost of water is $180?
Answer:
90,000
Step-by-step explanation:
As per the given scatter plot, for the cost of $180, the number of gallons of water used is 90,000.
The association between two numerical variables measured for the same individuals is displayed in a scatterplot. One variable's values are displayed on the horizontal axis, and the other variable's values are displayed on the vertical axis.
Here,
According to the question, the maximum limit shown on the scatterplot is $180 for 90 units on the scatterplot,
Where horizontal units are represented as the scale of 1 unit = 1000 units.
So for the maximum.
For the cost of $180 the gallons of water used is 90×1000.
Thus, as per the given scatter plot, for the cost of $180, the number of gallons of water used is 90,000.
Learn more about scatter plots here:
https://brainly.com/question/13984412
#SPJ2
A warehouse has 5 shelves long enough to hold 7 boxes and high enough to hold 4 boxes. All the shelves are full. How many boxes are there?
Answer:
140 boxes
Step-by-step explanation:
7 groups of boxes can be stacked 4 times on each shelf.
7 *4= 28
28 boxes could fit on each shelf. There are 5 shelves.
28*5= 140 so 140 boxes in total.
Two straight lines have equations y=px+4 and py=qx-7 where p and q are consonants
the two lines meet at point (3,1)
what is the value of Q:
a)1
b)2
c)3
d)4
e)5
Answer:
3
Step-by-step explanation:
heyy I just need u to reset the prob but with the answer also tell me the answer and thx
What is x-12 > 8 ?
Answer:
x>20
Step-by-step explanation:
Add 12 to both sides.
x−12+12>8+12
x>20
I need help with this
Answer:
6 1/5 = 31/5 and 2 3/4 = 11/4 as improper fractions, hope this helps!
Step-by-step explanation:
Answer:
6 1/5 = 31/5
2 3/4 = 11/4
Step-by-step explanation:
6 1/5 = 31/5
2 3/4 = 11/4
Cody ran 3 miles on his first day of training. The next day he ran 2/12 that distance. How far did he run the second day?
Answer:
.5 miles
Step-by-step explanation:
2/12 = 1/6
3 miles divided by 1/6 = .5
PLEASE HELP Aria made 9 pounds of fudge.She separates the fudge into 3/4 pound portions. She sells each portions for $6.50.if she sells all the fudge,How much money will she make? show your work
what is 5/6 + 3/4 showing my work.
Answer:
1 and 7/12
Step-by-step explanation:
make the denominators the same and do what you do to the bottom to the top too
10/12+9/12=19/12=1 and 7/12
Answer:
find the LCD least common dom
so
5/6 ×2/2= 10/12
3/4 ×2/2 = 9/12
the combine is 19/12 so 1 7/12 :)
Write an equation of the line that passes through the pair of points. (0, 1), (5, 3)
Answer:
Step-by-step explanation:
(3 - 1)/(5 - 0)= 2/5
y - 1 = 2/5(x - 0)
y - 1 = 2/5x - 0
y = 2/5x + 1
What is the slope of the line that passes through the points (-3, 5) and (1, 15)
Please help due ASAP
SHOW workings please
Answer:
x=12, SV=30
Step-by-step explanation:
Since <S is congruent to <T, you know that line TV is equal to line SV
2x+6=3x-6
subtract 2x on both sides
6=x-6
add 6 to both sides
12=x
x=12
To find SV you need to plug in x
2(12)+6
24+6
30
Which of the following best describes the pattern in the diagram as you move
from left to right?
Answer:Each step in this pattern increases by on block
Step-by-step explanation:
1-1 block
1-2 block
3-3
4-4
Abby sent a text message to three friends inviting each of them to a party each of those friends sent the message 3 more friends. Then each of these friends send a message to three more friends. If 2/3 of the friends receiving a text message attended the party how many friends attend the party
Answer:
26 friends not including abby
Step-by-step explanation:
i just drew it on a piece of paper and there were 39 people. then i just took 39 and multiplied it by 2/3 and got 26.
solve
k-3/4=2/5
asap
Answer:
k = 23/20
Please give brainliest!
Answer:
Step-by-step explanation:
Add 3/4 to both sides
k=2/5+3/4
Simplify
then your answer is 23/20
How do I solve this? will give brainlist!
..............we cant see :/
Answer:
Was this pic taken on a Nintendo
3.If angle 1 is 107 degrees, what is the degree measure of angle 2 If the two angles are supplementary?
Answer:
73 degrees
Step-by-step explanation:
supplementary means angles that add up to 180 degrees
Reasoning A cylindrical water tank holds 26 litres when full. The water tank is 36 cm tall.
Work out the radius of the tank to 2 d.p.
(4 marks)
Answer:
r = 15.16 cm
Step-by-step explanation:
Mathematically, we need a consistent unit
26 liters = 26,000 cm^3 as 1000 cm^3 = 1 L
The volume of a cylinder is;
V = pi * r^2 * h
26,000 = 3.142 * r^2 * 36
r^2 = 26,000/(3.142 * 36)
r^2 = 229.86
r = √229.86
r = 15.16 cm
the value of a car is 30,000$ it loses 6.5% of its value each year. What will the value of the car be after 5 years
Answer:
6.5 x 5=32.5
67.5/100 x 30,000= $20,250
Which points lie on the graph of the function fx) = (x + 2? Check all that apply.
0 (-55, 4)
0 (-3.8.-2)
0 (-11,1)
0 (-0.9,2)
(22,5)
O (476)
Answer:
o(476)
Step-by-step explanation:
when you see the calculations right you will see this is the correct anwser
Answer: C D E
Step-by-step explanation:
I’m taking the assignment right now
pls help asap 10 points
How many common tangent lines can you draw for to the two circles above?
0
1
2
3
Answer:
3 lines. Tangent line is defined as a line that passes through exactly 1 point in a circle. You can have a tangent line in the rightmost part, the point of intersection in the two circles, and the leftmost part.
whats all the fractions that are eqvalent to 4/3
Answer:8/6,12/9
Step-by-step explanation:
The fraction 8/6 is equal to 4/3 when reduced to lowest terms. To find equivalent fractions, just multiply the numerator and denominator of that reduced fraction (4/3) by any interger number, ie, multiply by 2, 3, 10, 30... 8/6 is equivalent to 4/3 because 4 x 2 = 8 and 3 x 2 = 6 12/9 is equivalent to 4/3 because 4 x 3 = 12 and 3 x 3 = 9
Answer:
4/3 = 8/6 = 12/9 = 16/12
= 20/15 = 24/18 = 28/21 = 32/24
= 36/27 = 40/30 = 44/33 = 48/36
= 52/39 = 56/42 = 60/45 = 64/48
= 68/51 = 72/54 = 76/57 = 80/60
= 84/63 = 88/66 = 92/69 = 96/72
= 100/75 = 104/78 = 108/81 = 112/84
= 116/87 = 120/90 = 124/93 = 128/96
= 132/99 = 136/102 = 140/105 = 144/108
= 148/111 = 152/114 = 156/117 = 160/120
= 164/123 = 168/126 = 172/129 = 176/132
= 180/135 = 184/138 = 188/141 = 192/144
= 196/147 = 200/150 = 204/153 = 208/156
= 212/159 = 216/162 = 220/165 = 224/168
= 228/171 = 232/174 = 236/177 = 240/180
= 244/183 = 248/186 = 252/189 = 256/192
= 260/195 = 264/198 = 268/201 = 272/204
= 276/207 = 280/210 = 284/213 = 288/216
= 292/219 = 296/222 = 300/225 = 304/228
= 308/231 = 312/234 = 316/237 = 320/240
= 324/243 = 328/246 = 332/249 = 336/252
= 340/255 = 344/258 = 348/261 = 352/264
= 356/267 = 360/270 = 364/273 = 368/276
= 372/279 = 376/282 = 380/285 = 384/288
= 388/291 = 392/294 = 396/297 = 400/300
Step-by-step explanation:
HELP I NEED HELP ASAP
Answer:
b
Step-by-step explanation:
Please help me ASAP , thank you
Answer:
v=-4
Step-by-step explanation:
subtract 9 from both sides and simplify and divide both sides by 2