1
Andrea has 3 tiles.
One is a regular octagon, one is a regular pentagon
and one is a regular hexagon.
Andrea thinks the 3 tiles will fit together perfectly,
as shown in the diagram.
Show calculations to prove that she is wrong.
Answers
You then times this number by 180 to get the sum of interior angles for that shape
Let’s start with the octagon
It has 8 sides so you need to do 6*180 which gives you 1080
You divide this by 8 which gives you 135
This is one angle in the octagon
If you do this for all of the shapes you get 135, 108 and 120 degrees
If you add these all up you get 363 which is 3 degrees off of 360 which would be a perfect fit
Andrea is incorrect. Given 3 tiles will not fit together perfectly.
Angles formed at a point: Sum of all angles around a point is 360°.
As shown in the picture,
If the tiles join perfectly at a point, sum of all angles around the joining point should be 360°.
Expression for the measure of the interior angle of a polygon,
Interior angle of a polygon = [tex]\frac{(n-2)\times 180^\circ}{n}[/tex]
Interior angle of a pentagon = [tex]\frac{(5-2)\times 180^\circ}{5}=108^\circ[/tex]
Interior angle of a hexagon = [tex]\frac{(6-2)\times 180^\circ}{6}=120^\circ[/tex]
Interior angle of an octagon = [tex]\frac{(8-2)\times 180^\circ}{8}=135^\circ[/tex]
To prove that the given tiles fit together perfectly → Sum of all the angles around the common point should be 360°
Sum of all interior angles = 108° + 120° + 135°
= 363°
Therefore, given tiles will not fit together perfectly.
Learn more about the interior angles of a polygon here,
https://brainly.com/question/12871621?referrer=searchResults
Related Questions
Use right triangle ABC. The figure is for reference only and is not drawn to scale. In a 30-60-90 triangle, the shorter leg had a length of 8. What is the length of the longer leg?
Answers
Answer:
In a 30 60 90 triangle, the longer leg = shorter leg * square root (3)
longer leg = 8 * square root (3) = 8 * 1.7320508076
= 13.8564064606
Step-by-step explanation:
I need help like frfr
Before today over . Someone help me
Answers
Answer:
The answer is 49
Step-by-step explanation:
PLEASE MARK AS BRAINLIEST
HELPING ON OTHER OF YOUR PROBLEMS
PLEASE HELP!!!!!!!!!
Answers
y = 50 degrees
Formula to find the surface area of a triangular prism
Answers
Step-by-step explanation:
In the mensuration of a triangular prism we can find the total surface area by solving for the areas of individual shape.
The triangular prism consist of
1. three rectangular surfaces
2. two triangular surfaces.
Hence the total surface area is the sum of the areas of the rectangular surface
= [tex](l* w) +( l*w)+(l*w)\\[/tex]
and the sum of all areas of triangular surfaces
= [tex](\frac{1}{2}bh) + (\frac{1}{2}bh)[/tex]
In summary just find the area of each shape and add them together.
A glass of cold milk is sitting on the counter, warming up to room temperature. Currently, the milk is 10°C below room temperature. However, that temperature difference is shrinking by 10% every minute. What will the temperature difference be in 14 minutes?
Answers
Answer:
I think it's 8.6 or 1.4
Step-by-step explanation:
Turn 10% into a decimal form... .10
.10 x 14 = 1.4
10 - 1.4 = 8.6
Idk oof
Answer:
10.7 Celsius
Step-by-step explanation:
I did it on IXL
What is the graph of y^2/16+x^2/9=1
Answers
Answer:
is c
Step-by-step explanation:
use math way if you have any doubts
Answer:
the correct graph is graph c.
Step-by-step explanation:
i did the asignment on edg
In ΔTUV, t = 410 cm, ∠U=27° and ∠V=78°. Find the length of v, to the nearest 10th of a centimeter.
Answers
Answer:
[tex]v \approx 415.2\,cm[/tex]
Step-by-step explanation:
The angle T is:
[tex]\angle T = 180^{\circ} - 27^{\circ} - 78^{\circ}[/tex]
[tex]\angle T = 75^{\circ}[/tex]
Now, the length of v is determine by the Law of Sines:
[tex]\frac{410\,cm}{\sin 75^{\circ}} = \frac{v}{\sin 78^{\circ}}[/tex]
[tex]v = (410\,cm)\cdot \left(\frac{\sin 78^{\circ}}{\sin 75^{\circ}} \right)[/tex]
[tex]v \approx 415.2\,cm[/tex]
Two angles are supplementary. If the m∠A is five times the sum of the m∠B plus 7.2°, what is m∠B?
Answers
Answer:
m∠B = 24°
Step-by-step explanation:
m∠A + m∠B = 180°
m∠A = 5 ( m∠B + 7.2 )
5 ( m∠B +7.2 ) + m∠B = 180
5m∠B + 36 + m∠B = 180
6m∠B = 180 - 36
6m∠B = 144
m∠B = 24°
Surface area and volume
Answers
D.
A rational number is the..........
of two........
while a rational expression is a......... of two.........
Answers
Answer:
A rational number is the QUOTIENT of two INTEGERS while a rational expression is a QUOTIENT of two FUNCTIONS.
Hope this helps!
:)
Answer:
quotient
integers
quotient
functions
Step-by-step explanation:
solve: 3(x+4)= 12 + 3x
Answers
Answer:
All solutions
Step-by-step explanation:
Regardless of what x equals the answer will work
Answer:
x=2
Step-by-step explanation:
3(x+4)= 12 + 3x
x=2 12+3x
3(2+4) x=2
3x6 3x2=6
18 12+6=18
You are measuring the height of a Ferris wheel at an amusement
park. You are standing 125 feet from its base. You measure the angle
of elevation from a point on the ground to the top of the Ferris wheel
to be 51°. Estimate the height of the Ferris wheel. Round your
answer to the nearest foot.
Answers
Answer:
154 ft
Step-by-step explanation:
A right triangle is formed, where the height of the wheel (h) is one leg, the distance between you and the base of the wheel is the other leg, and the distance between you and the top of the wheel is the hypotenuse (the angle included between the last two sides is 51°)
From definition:
tan(51°) = opposite/adjacent
tan(51°) = h/125
h = tan(51°)*125
h = 154 ft
find the value of x
Answers
Answer:
Step-by-step explanation:
5
WILL GIVE BRAINLIEST. Billy ordered a pizza with a crust that is 10π inches long. What is the area of the pizza?
Answers
Answer:
~31.42
Step-by-step explanation:
I multiplied 10 x pi and it gave me 31.4159265359 and I rounded up to 31.42
Solve the equation for y.
6 = 4x +9y
Answers
Answer:
y = (6-4x) / 9
Step-by-step explanation:
6 = 4x+9y
Subtracting 4x to both sides
6 - 4x = 9y
Now dividing both sides by 9
We'll get
(6-4x)/9 = y
OR
y = (6-4x) / 9
Answer:
y = 2/3 - 4x/9
Step-by-step explanation:
6 = 4x + 9y
you have to isolate the 9y soo, subtract 4x on both sides
6 - 4x = 9y
now, divide both sides by 9
6/9 - 4x/9 = y
simplify!
2/3 - 4x/9 = y
Which of the following equations is an example of a direct variation?
y = 3
x + 2y = 6
x = 4
y = 3.14 x
Answers
Answer:
ummm, I'm not sure but I think that it's the second or the last one.
help me with number 3 pleaseee
Answers
Answer:
$25.65
Step-by-step explanation:
135 (19%)
$25.65
Please help me I need this done not a lot of work but please get it done with good credit for good rating and reward!
Answers
Answer:
1. Diameter
2. more than 1 but less than 2
3. ans: 3.14
4. ans: 3.142
5. 33.7 inches
6. a) 100.57 b) 2.36 (2 dp) c) 236.66 d) 113.14 e)20.11
f) 86.11
write an equivalent ratio to 2:7
Answers
Answer:
4:14
Step-by-step explanation:
x2 + y2 + 6x – 4y - 15 = 0
Find the center and radius of the circle
Answers
y = − 1/3 x + 2 y = x + 2
Answers
WILL MARK BRAINLIEST
Prism M and pyramid N have the same base area and the same height. Cylinder Pand prism Q have the same height and the same base
perimeter. Cone Z has the same base area as cylinder Y, but its height is three times the height of cylinder Y.
The figures_____and_____have the same volume.
1.)
Prism M
Cylinder P
Cone Z
2.)
pyramid N
Prism Q
Cylinder Y
Answers
Answer:
Answer Cone Z and Cylinder Y.
Step-by-step explanation:
The relationship between the volume of the cone and the volume of the cylinder with the same height and same base is the volume of the cone is 1/3 of the volume of the cylinder.
hope that helps love!
PLEASE ANSWER ASAP! 48 POINTS!!
IF YOU ANSWER JUST FOR POINTS I'LL REPORT YOU!!!
Explain how solving -7y > 161 is different from solving 7y > -161.
Answers
the first choice has a negative 7 and the second choice has a negative 161 these are both negatives in different places which cause a different reaction
HELP ILL GIVE YOU 15 POINTS !!!!!! ill mark you as brainliest too if its right
Answers
Answer:
B.
Step-by-step explanation:
[tex]\frac{2}{5} *4=\frac{8}{5}[/tex][tex]x[/tex]
[tex]\frac{2}{5} *-8=-\frac{16}{5}[/tex]
Answer:
b
Step-by-step explanation:
sara and megan wanted souvenirs when on vacation. sara bought 3 magnets and 4 picture frames for $41. megan bought 2 magnets and 5 picture frames for $39. how much does magnet cost? how much does the picture frames cost?
Answers
Answer:
idk
Step-by-step explanation:
sorry
In 2010 Harry bought 200 shares in ford motors company stock for 35.21 per share in 2018 he sold the shares for 26.78 each express his capital loss as a percent
Answers
Answer:
23.94%
Step-by-step explanation:
In 2010, Harry bought 200 shares in ford motors company stock for $35.21 per share. This means that the cost price of buying the 200 shares is:
C = 200 * 35.21 = $7042
In 2018, he sold the shares for $26.78 per share. The selling price of 200 shares is:
S = 200 * 26.78 = $5356
The loss is given as the cost price minus selling price. That is:
L = CP - SP
L = 7042 - 5356
L = $1686
Percentage loss is given as loss divided by cost price multiplied by 100:
%L = 1686 / 7042 * 100
%L = 23.94%
Amanda has 14 coins in her pocket that equal 54 cents. All the coins are nickels, n, and pennies, p. Which combination of coins
does Amanda have? Use the table to answer the question.
Answers
Answer:
The answer to this question is c
Step-by-step explanation:
10 nickels and 4 pennies
1. 3x + 7 = 13 (x = -2; x = 2; x = 5)
Answers
Answer: x=2
Step-by-step explanation:
I am assuming you are asking which x fits the equation. To see if x works for the equation, you would plug it in.
x=-2
3(-2)+7=13
-6+7=13
1≠13
x=2
3(2)+7=13
6+7=13
13=13
x=5
3(5)+7=13
15+7=13
22≠13
3. Find the volume of the pyramid.
7 cm
3 cm
1 cm
Answers
Answer:
7
Step-by-step explanation:
V=lwh
3=7·3·1
3=7
A bag contains 2 red, 5 blue, and 7 yellow marbles. Find the probability of drawing a yellow or a red.
Answers
Answer:
drawing a red marble would be 2 in a 14 or 1/7 chance n drawing a yellow would be 1/2.
The probability of drawing a yellow marbles is 1/2
What is probability ?Probability means the quality or state of being probable; the extent to which something is likely to happen or be the case
We have,
Bag contains marbles
Red=2
Blue=5
Yellow=7
Total marbles in bag = 2+5+7=14
The total number of ways of selecting one marble out n(s) = 14[tex]C_{1}[/tex]
= 14 ways
Let E be the event of selecting yellow marbles
Since, the bag contains 7 yellow marbles
one yellow marble can be draw from 7 yellow n(E) =7[tex]C_{1}[/tex]
= 7 ways
We know the formula,
P(E)= n(E)/n(s)
= 7/14
= 1/2
Hence, the probability of drawing a yellow marbles is 1/2
To learn more about probability from here
https://brainly.in/question/3144050
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