Answers
Answer:
3 tiles will not fit together.
Step-by-step explanation:
Measure of an Interior angle of a polygon = [tex]\frac{(n-2)\times 180}{n}[/tex]
Here, n = number of sides of the polygon
Therefore, measure of the interior angles of a regular hexagon,
A = [tex]\frac{(6-2)\times 180}{6}[/tex]
A = 120°
Similarly, interior angle of the regular pentagon,
B = [tex]\frac{(5-2)\times 180}{5}[/tex]
B = 108°
Now m∠A + m∠B + m∠C = 360°
m∠C = 360° - (120° + 108°)
= 132°
To fit the given three tiles perfectly, interior angle (∠D) of the third Octagonal tile should be 132°.
D = [tex]\frac{(8-2)\times 180}{8}[/tex]
D = 135°
m∠C ≠ m∠D
Therefore, 3 tiles will not fit together.
Related Questions
3x − x − 1 = 15
What is x
Answers
Answer: x=8
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3x−x−1=15
3x+−x+−1=15
(3x+−x)+(−1)=15(Combine Like Terms)
2x+−1=15
2x−1=15
Step 2: Add 1 to both sides.
2x−1+1=15+1
2x=16
Step 3: Divide both sides by 2.
2x /2 = 16 /2
x=8
Answer:
3x-x=15+1
2x=16
x=16/2
x=8
Which value is closest to the perimeter of the window?
WITH EXPLANATION HOW YOU GOT IT!!!!
3.93 ft
0 6.43 ft
07.85 ft
10.85 ft
Answers
=3.14*1.25+2.5
=6.425 ft
Approximately = 6.43 feet
The perimeter of the window is 3.93 feet.
What is perimeter?
Perimeter is the total length of the sides of a two-dimensional shape.
Formula for perimeter of the semicircle:perimeter = πr
Where, r is the radius of the circle
And, π = 3.14
According to the given question.
The window is in the shape of semicircle.
Radius of the window = [tex]\frac{2.5}{2} = 1.25 feet[/tex]
Therefore, the perimeter of the window
= π × 1.25 ft
= 3.14 × 1.25
= 3.925
= 3.93 feet
Hence, the perimeter of the window is 3.93 feet.
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How to find 0.50% of 5 mentally
Answers
Answer:
Hi it is me again :)
Step-by-step explanation:
multiply the numbers
A line that has a slope of 1/3 and passes through the point (-9,5)
Answers
Answer:
[tex]y = \frac{1}{3}x + 8[/tex]
Step-by-step explanation:
using the slope-intercept formula, u have this so far as an equation (just knowing the slope): [tex]y = \frac{1}{3}x + b[/tex]
To find the y-intercept, substitute in the values of the coordinates given to solve for b:
[tex]y = \frac{1}{3}x + b\\5 = \frac{1}{3}(-9) + b\\5 = -3 + b\\8 = b[/tex]
so u can just put 8 into your slope-intercept formula ([tex]y = \frac{1}{3}x + 8[/tex]) and that's it! hope this helps!
Help me with this!!!!!
Answers
Answer: it would be y=-4x+2
Answer:
the second option (y= -4x + 2)
Step-by-step explanation:
Write two equivalent expressions for the following expression: 3x-12
Answers
Answer:
3(1x-4) and (2x+1)-(6+6)
Step-by-step explanation:
Which is the x coordinate of the point on the graph ?
Answers
Answer:
-5
Step-by-step explanation:
Cuz it lines up to -5 on x-axis
Y=- 7
You just have to follow the line
(timed test)
Which equation is represented by the graph?
A) y=(1/3)^x
B) y=(1/3)^x +2
C) y=(1/3)^x +3
D) y=3(1/3)^x
Answers
Answer:
the answer should be A
Step-by-step explanation:
im begging yall please help me!please someone
Answers
Answer:
2.5
Step-by-step explanation:
I Need help please I only have a little bit of time
Answers
Answer:
30
Step-by-step explanation:
if its asking for inches
3c + 2 = 3c + 2
please help me
Answers
Answer:
3c+2=2+3c
Step-by-step explanation:
3c + 2 = 3c + 2
3c + 2 - 2 = 3c + 2 - 2
2. Simplify by subtracting the numbers
3c + 2 - 2 = 3c + 2 - 2
3c = 3c
3. Subtract 3c from both sides of the equation
3c = 3c
3c - 3c = 3c -3c
4. Simplify by combining like terms
0 = 0
Answer: infinite solution
Use the Distributive Property to expand the expression: z(-6.4 - 3.5x) *
help plz
Answers
Answer:
I think this is it -6.4z -3.5xz
Step-by-step explanation:
Answer:
=−3.5xz−6.4z
Step-by-step explanation:
A construction worker fills a mold with concrete. This solid figure represents the mold.
What is the volume of the concrete that fills the mold?
Answers
Answer:
volume = 338 x 20 = 6760 cm^3
Step-by-step explanation:
large rectangular top area = 14 x 22 = 308 cm^2
small rectangular top area = 6x5 = 30 cm^2
total top area = 308 + 30 = 338 cm^2
volume = 338 x 20 = 6760 cm^3
sam buys a box of markers for 2.85, but he has a coupon for 20% off. how much does he save with the coupon?
Answers
Answer:
85 cents
Step-by-step explanation:
i belive
A car depreciated $1000 the first year it was owned and driven. In years 2 and
3, it depreciated $700 and $500, respectively. What type of depreciation is
this?
A. Accelerated depreciation
B. Flat depreciation
C. Straight-line depreciation
D. Curved-line depreciation
Answers
AAnswer:
Step-by-step explanation:
Answer:
accelerated depreciation
Step-by-step explanation:
Find the volume of the cone 3ft and 2 ft. Round your answer to the nearest tenth if necessary. Use 3.14 for pie
Answers
Answer:
37.68 ft^3
Step-by-step explanation:
The parameters used in describing a cone is radius and height
Hence
Radius= 3ft
Height = 2 ft
The volume of a cone is given as
[tex]v=\frac{1}{3} \pi r^2 h[/tex]
substitute
[tex]v=\frac{1}{3}*3.14*3^2*2^2\\\\v=\frac{1}{3}*3.14*9*4\\\\v=\frac{1}{3}*113.04\\\\v=37.68 ft^3[/tex]
Hence the volume is 37.68 ft^3
Which statements are true about expressions? Select all that apply.
A Expressions have no equal signs.
B
Letters are called variables.
C
An expression has only 2 terms.
D
A number without a variable is called a constant.
Answers
please solve this.
[tex]log(n + 2) = log({n}^{2} - 70)[/tex]
Answers
Answer:
n=9
S-B-S explanation: /Strikethrough/ - this means you can cut these parts out because they are not needed.
/log/(n+2) = /log/(n^2-70)
/n+2/ = n^2-70
/-n-2/____-n-2
------------------------------
= (0=n^2--n--72)
(n-9) =0 ______ (n+8) =0
n-9= 0 _______ n+8= 0
+9= +9 ________ -8= -8
-------------________-------------
__n=9___________ /n=-8/
Kate plans to use four triangles like the one shown to form a diamond
shape.
For her plan to work, the triangle must be a right triangle.
Determine whether the triangle is a right triangle.
Answers
Answer:
The triangle is a right triangle.
Step-by-step explanation:
In the given triangle, three sides are given.
First side = 15 cm
Second side = 17 cm
Third side = 8 cm
We need to determine whether the triangle is a right triangle. For a triangle to be a right angle, it must follow the Pythagoras theorem.
The hypotenuse is the longest side of a right triangle. Let 17 cm be the hypotenuse. So,
[tex]17^2=15^2+8^2[/tex]
Now solving RHS,
[tex]15^2+8^2=225+64\\\\=289[/tex]
Now solving LHS, 17² = 289
It implies, LHS = RHS
Hence, the triangle is a right triangle.
Pls help!!!!
30 cm = m
Answers
Answer:
I assume that "m" means meters. If so it would be 0.3 meters
Step-by-step explanation:
y=2x-7[tex]x^{2}[/tex]
Answers
x1=0,x2=2/7 that is the answer
Answer:
This is not solvable.
Step-by-step explanation:
Is there a second equation? You cannot solve an equation with two variables.
Which scatterplot suggests a linear relationship between x and y?
I need help asap
Answers
Mark was thinking of a number mark halves the number and gets an answer of 53.2 form an equations with x from the information
Answers
Answer: The number is 106.4
Step-by-step explanation:
Let the number be x
Mar halves the number becomes = x x 1/2 to get 53.2
The equation to solve this problem is x/ 2 = 53.2
Such that to find x
x/2= 53.2
x = 2 x 53.2= 106.4
The number is 106.4
How can 33 ninths be expressed as a decimal
Answers
Hey there!
Given:
[tex]\frac{33}{99}[/tex]
First, we can simplify it by dividing the numerator and denominator by [tex]33[/tex]:
[tex]\frac{1}{3}[/tex]
And, using common knowledge, we know that [tex]\frac{1}{3}[/tex] as a decimal is [tex]0.333...[/tex]
Have a great day!
Answer:33/9 is equal to 3 2/3.
Step-by-step explanation:
I hope this helped<3
During a basketball practice, Mai attempted 40 free throws and was successful on 25% of them. How many successful free trows did she make?
Answers
Answer:
She made 10 free throws
Step-by-step explination:
I found it on this website: https://staff.4j.lane.edu/~ruzicka/Cal_Young/math/Illustrative%20Math/Unit%203%20Rates%20and%20Percents/Lesson%2011/L11%20HW%20Key%20Corrected.pdf
Try it and see if you are right
What is the exact value of sine of 8 pie/3
Answers
Answer:
0.1456858
Step-by-step explanation:
Hope it help
Answer:
−1/2
Explanation:
cos(8π/3)
=cos(8π/3 − 2π)
=cos(2π/3) = − cos (π/3) = −1/2
Kathy uses 8.6 pints of blue paint and white paint to paint her bedroom walls. 4 5 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?
Answers
Answer:Kathy uses 1.72 pint of white paint
Step-by-step explanation:
Total amount of paint ( Blue and white paint)= 8.6 pints
Amount of blue paint=4/5 x 8.6 = 6.88 Pints
amount of white paint = Total amount of paint - amount of blue paint
= 8.6 pints - 6.88 pints
=1.72 pint of white paint
Answer:274707
Step-by-step explanation:
2 3/5 divided by 7/9?As a Multiplication fraction
Answers
Answer:
it will be 13/5 x 9/7
Step-by-step explanation:
2 3/5 / 7/9
2 x 5 = 10
10 + 3 = 13
13/5
flip 7/9 to 9/7
I need help with my math so this is the question this is 5th grade math im have trouble with it so this is what it is 1- 3/4 x 2- 1/6 What are the steps i need help
Answers
Answer:
[tex]\dfrac{-2}{3}[/tex]
Step-by-step explanation:
Given that:
[tex]1 - \dfrac{3}{4} \times 2 - \dfrac{1}{6}[/tex]
[tex]\text{using BODMAS}[/tex]
[tex]\text{we first find the multiplication before subtracting the values}[/tex]
[tex]\text{So;}[/tex]
[tex]1 - \dfrac{3}{2} - \dfrac{1}{6}[/tex]
[tex]\text{now we look for the lowest common multiple L.C.M}[/tex]
[tex]= \dfrac{6 - 9 - 1}{6}[/tex]
[tex]= \dfrac{-4}{6}[/tex]
[tex]= \dfrac{-2}{3}[/tex]
A farmer wants to construct a rectangular pigpen so only 3 sides of the pen will need to be fenced. If the farmer has 400 ft of fence, whats the maximum area he can enclose?
Answers
The dimensions of the rectangular pigpen with the largest possible area are 50 ft×25 ft.
The area and perimeter of a rectangle in the study of differential calculus, specifically in optimization problems are functions of two variables that depending on what is requested in these problems can be objective functions or link functions between the variables.
We use what we know about the perimeter of the rectangle to find a condition equation that expresses the length a in terms of the width b.
P(a, b)=a+2b [Perimeter of the fence of the rectangular pigpen]
p(a, b)=2a+3b [Substitute P(a, b)=100]
100=a+2b
a=100-2b
We must find the largest area. Using the condition equation, find the area as a function of the variable b.
A(a, b)=ab [total area of the rectangular pigpen]
A(a, b)=(100-2b)b [Replace a=100-2b]
A(a, b) = 100b-2b²
Objective function Domain
A(a, b) = 100b-2b²
D={b∈R : b>0} [Domain of the objective function]
To find the extremes of the function we have to look for the critical points of the function and apply the second derivative test.
A(a, b) = 100b-2b²
A'(a, b) =100-4b [First derivative of the objective function]
A'(b)=0
100-4b=0
4b=100
b=25 [Critical point]
Applying sufficient condition for extremes
A'(b)=100-4b [First derivative of the objective function]
A''(b)=-4 [Second derivative of the objective function]
A''(b)=-4 [A''(b)<0∀b∈D]
b=25 [Maximum point of the objective function]
Calculate the dimension of the rectangular pigpen
b=25 [Width of the rectangular pigpen]
a=100-2(25)=50 [Length of the rectangular pigpen]
Therefore, the dimensions of the rectangular pigpen with the largest possible area are 50 ft×25 ft.
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