Answer: There are 20 sides of a given regular polygon.
Step-by-step explanation:
To calculate the sides of a regular polygon, we use the equation:
[tex]\text{Number of sides}=\frac{360^o}{\text{Smallest angle of rotation}}[/tex]
We are given:
Smallest angle of rotation = [tex]18^o[/tex]
Putting values in above equation, we get:
[tex]\text{Number of sides}=\frac{360^o}{18^o}\\\\\text{Number of sides}=20[/tex]
Hence, there are 20 sides of a given regular polygon.
Answer:
20
Step-by-step explanation:
edg did the test
6. Jenny needs to build a box that has a square base and a volume of 900 cm°. The height of the box is related to the length of one side of the base by the function h(s) = 900
a. What value of y satisfies the equation y=h(10). What does this tell you about the box?
Answer:
Step-by-step explanation:
Its 43567 bc I searched it up
Which function has an inverse that is also a function?
A. {(-4, 3), (-2, 7), (-1, 0), (4, -3), (11, -7)}
B. {(-4, 6), (-2, 2), 6-1, 6), (4, 2), (11, 2)}
C. {(-4,5), (-2, 9), (–1, 8), (4, 8), (11,4)}
D. {(-4, 4), (-2, -1), (–1, 0). (4.1), (11, 1)}
Given:
The different functions in the form of set of ordered pairs.
To find:
The function which has an inverse that is also a function.
Solution:
A relation is a function if there exists unique y-value for each x-value.
We know that the inverse transformation is defined as:
[tex](x,y)\to (y,x)[/tex]
So, the inverse of function is also a function if their exists unique x-value for each y-value in the function.
In option A, all x-values and y-values are unique. It means, inverse of this function is also a function. So, option A is correct.
In option B, [tex]x=-4[/tex] and [tex]x=-1[/tex] when [tex]y=6[/tex]. It means, inverse of this function is not a function. So, option B is incorrect.
In option C, [tex]x=-1[/tex] and [tex]x=4[/tex] when [tex]y=8[/tex]. It means, inverse of this function is not a function. So, option C is incorrect.
In option D, [tex]x=4[/tex] and [tex]x=11[/tex] when [tex]y=1[/tex]. It means, inverse of this function is not a function. So, option D is incorrect.
Therefore, the correct option is A.
write the set of positive perfect square numbers that is less than 120 . any sort of help is appreciated due 5 pm
Answer:
{1,4,9,16,25,36,49,64,81,100}
The temperature in Chicago, Illinois dropped to -9 °F during the night.
How many degrees must the temperature increase to reach 0 °F?
Answer:
+9
Step-by-step explanation:
+9-9=0
A store sells a certain tile for $2 per tile and a pint of paint for $3. A second store sells the same items for $1 per tile and $4 per pint of paint. Ari bought the same number of tiles and pints of paint at both stores, costing him $26 at the first store and $18 at the second store, before tax. Which system of equations can be used to find the number of tiles, x, and the number of pints of paint, y, that Ari bought at each store? A system of equations. 3 x plus 4 y equals 18. X plus 2 y equals 26. A system of equations. X plus 3 y equals 18. 2 x plus 4 y equals 26. A system of equations. 2 x plus 3 y equals 26. X plus 4 y equals 18. A system of equations. 3 x plus 2 y equals 26. 4 x plus y equals 18.
Answer:
2 x plus 3 y equals 26. X plus 4 y equals 18
Step-by-step explanation:
Number of tiles, = x
Number of pints of paint, = y
Store 1:
Cost per tile = $2 ; cost per pint = $3 ; total cost = $26
Store 2 :
Cost per tile = $1 ; cost per pint = $4 ; total cost = $18
System of equation:
2x + 3y = 26 - - - (1)
x + 4y = 18 - - - - - (2)
A container in the shape of this cuboid holds 2 litres of water.
The container has a square base.
Its height is double the length of each edge on its base.
Work out the height of the container, in cm.
Given:
Volume of cuboid container = 2 litres
The container has a square base.
Its height is double the length of each edge on its base.
To find:
The height of the container.
Solution:
We know that,
1 litre = 1000 cubic cm
2 litre = 2000 cubic cm
Let x be the length of each edge on its base. Then the height of the container is:
[tex]h=2x[/tex]
The volume of a cuboid is:
[tex]V=l\times w\times h[/tex]
Where, l is length, w is width and h is height.
Putting [tex]V=2000,\ l=x,\ w=x,\ h=2x[/tex], we get
[tex]2000=x\times x\times 2x[/tex]
[tex]2000=2x^3[/tex]
Divide both sides by 2.
[tex]1000=x^3[/tex]
Taking cube root on both sides.
[tex]\sqrt[3]{1000}=x[/tex]
[tex]10=x[/tex]
Now, the height of the container is:
[tex]h=2x[/tex]
[tex]h=2(10)[/tex]
[tex]h=20[/tex]
Therefore, the height of the container is 20 cm.
If 4p + 3q + 2r = 3 and -4p - 2q - 2r = 4, then q = ?
(A) 0
(B) 2
(C) 3
(D) 4
(E) 7
Answer:
E
Step-by-step explanation:
Label the two equations:
4p +3q +2r= 3 -----(1)
-4p -2q -2r= 4 -----(2)
(1) +(2):
4p +3q +2r -4p -2q -2r= 3 +4
Grouping like terms together:
4p -4p +3q -2q +2r -2r= 7
Simplify:
q= 7
Iready
Which of the following accurately compares 15 - v105 and 5?
PLEASE HELP ME
Answer:
[tex]\sqrt{105}[/tex] is slightly more than 10, so 15 - [tex]\sqrt{105}[/tex] is less than 5.
Step-by-step explanation:
Given expression is (15 - √105).
Since, √105 ≈ Slightly greater than 10 [Since, [tex]\sqrt{100}=10[/tex]]
Therefore, when we subtract the value of [tex]\sqrt{105}[/tex] from 15,
15 - [tex]\sqrt{105}[/tex] = Slightly less than 5
From the given options answer will be,
[tex]\sqrt{105}[/tex] is slightly more than 10, so 15 - [tex]\sqrt{105}[/tex] is less than 5.
Which is an equivalent form of the expression 1800(1.2)–t?
Answer:
2160 - t
Step-by-step explanation:
1800(1.2)–t
2160 - t
Find the measure of arc CEB
Answer:
Step-by-step explanation:
Arc CAB through E is just the sum of the 3 minor arcs you are given
Arc CEB = 53 + 79 + 68
Arc CEB = 200
Please help me find the volume
Check the picture below.
so we have a pyramid atop and a rectangular prism at its base, so we simply get the volume of each separately and add them up.
[tex]\hspace{34em}|\\ \textit{volume of a pyramid} \\ \cfrac{1}{3}Bh~~ \begin{cases} B=\stackrel{\textit{area of its base}}{6\times 6}\\ h=\stackrel{\textit{its height}}{8} \end{cases} \\\\\\ \cfrac{1}{3}(6\cdot 6)(8)\implies \cfrac{36}{3}\cdot 8\implies 12\cdot 8\implies \underline{96}[/tex]
[tex]\textit{volume of a rectangular prism}\\ Lwh~~ \begin{cases} L=\stackrel{length}{6}\\ w=\stackrel{width}{6}\\ h=\stackrel{height}{4} \end{cases} \\\\\\ 6\cdot 6\cdot 4\implies 36\cdot 4\implies \underline{144} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{\textit{volume of the figure}}{96+144\implies 240}~\hfill[/tex]
I need help!!!! :))))
Answer:
A=50.24
Step-by-step explanation:
Your diameter is 8, which makes the radius 4.
The area of a circle is
[tex]A = \pi r^{2} \\A = \pi 4^{2}[/tex]
A=50.24
Find the 87th term of the arithmetic sequence 12, 0, -12
Answer:
a(87) = -590
Step-by-step explanation:
Notice how each term of this arithmetic sequence is equal to the sum of the previous term and the common difference, -12.
The general formula a(n) = a(1) + (n - 1)d becomes:
a(n) = 12 - 7(n - 1)
and the 87th term a(87) = 12 - 7(87 - 1), or
a(87) = 12 - 7(86)
a(87) = -590
What is the value of x?
85°
92°
53°
Answer:
x = 46
Step-by-step explanation:
Vertical angles are equal so call the angle y
85+53 +y =y+ 92+x
Subtract y from each side
85+53 = 92+x
Combine like terms
138 = 92+x
Subtract 92 from each side
138 -92 = 92+x-92
46 =x
The box-and-whisker plot below represents the number of cars in the airport parking lots. Is there more variability in the number of cars below 120 or above 230? Choose the correct answer and explanation.
Answer:
report me I want deleted:)
what is 55 degrees in radian measure as a multiple of pi
Please help fast! The table shows the results of spinning a spinner several times
Out come A B C D E
frequency 2 4 3 1 2
What is the experimental probability of spinning a c or a d?
2/5
1/48
4/5
1/3
Answer:
2/5
hope it helps
Thank you
Without graphing, what can you say about the points (2.5, 1) and (6, 1) on the coordinate plane?
Answer:
hope this helps
Step-by-step explanation:
-they do not have the same slope
-their lines are not parallel
there's probably more but i cant quite think of it as of now
Who was the first president of Nigeria
Answer:
Nnamdi Azikiwe
Step-by-step explanation:
he was the first one
Find the percent change and tell whether it is a percent decrease or
increase.
Original amount: 30
End amount: 45
A landscaper needs to rent tree-trimming equipment. The graph shows the rental costs for the equipment at two different stores. Choose the ordered pair that best estimates the time and cost at which the two stores charge the same amount.
Answer:
(105 | 35)
the x-component (how much to the side) is left, the y-component right (how high)
The ordered pair that best estimates the time and cost at which the two stores charge the same amount is (110,35).
What is a graph?A graph can be defined as a pictorial representation of statistical data in graphical form. The points on the graph often represents the relationship between two or more things. The points are plotted in x-axis and y-axis respectively.
For the given situation,
The graph shows the time in x-axis and cost in y-axis.
Ordered pairs are often used to represent two variables.
The number which corresponds to the value of x is called the x-coordinate and the number which corresponds to the value of y is called the y-coordinate.
From the graph, the point of intersection of x-axis and y-axis gives the the time and cost at which the two stores charge the same amount.
Thus the point of intersection is x at 110 and y at 35.
⇒ [tex](x,y)=(110,35)[/tex]
Hence we can conclude that the ordered pair that best estimates the time and cost at which the two stores charge the same amount is (110,35).
Learn more about graphs here
https://brainly.com/question/7563606
#SPJ2
A= P(1+rt)
A= 27 and t=3 solve for r.
Answer:
(27 - P) / 3P = r
Step-by-step explanation:
A = P(1 + rt)
A = 27
27 = P(1 + 3r)
27 = P + 3Pr
27 - P = 3Pr
(27 - P) / 3P = r
Find the value of x using the geometric mean theorems.
All radical answers should be entered as a decimal rounded to the nearest tenth.
Answer:
Step-by-step explanation:
20% deposit
5 years to pay
Monthly instalment
R6475,00
how much will he pay after 5 years?
Answer:
R12,950.00
Step-by-step explanation:
We solve using the formula
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 20%/100 = 0.2 per year.
Solving our equation:
A = 6475(1 + (0.2 × 5)) = 12950
A = R12,950.00
Therefore, the amount he will pay after 5 years is R12,950.00
(a)Find the commission on Rs65 000 if 4% commission is paid.
(b)On selling an article for Rs2700,a shopkeeper made a profit of 8%.find cost price of the article.
Answer:
Step-by-step explanation:
commission amount = 4 % of Rs 65000
=4/100 * 65000
=260000/100
=2600
therefore commision amount is Rs 2600
SP od an article = Rs 2700
profit %=8%
let CP be x
SP=CP + profit% of CP
2700=x + 8/100 *x
2700=100x + 8x/100
2700*100 = 108x
270000=108x
270000/108=x
2500=x
therefore cost price (CP) of an article is Rs 2500.
URGENT! What are the residuals for the scatter plot. Thank you!
Answer:
demos & mathaway
Step-by-step explanation:
I know this isn't the answer u wanted but go to demos and hit scattered ploys type the data in a table on demos. and it should give u ur answer. hopefully this helps. if not, I hope someone helps u soon.
10. Solve the following pair of simultaneous equations 2 + x = y xy = 5. 1 Add file
Simplify using the multiplication rule.
A. the first one is the answer
Step-by-step explanation:
[tex]\sf \bf {\boxed {\mathbb { a. \:2 {y}^{2} \sqrt{6x}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \sqrt{4x {y}^{3} } \sqrt{6y} [/tex]
[tex] = \sqrt{4 \times 6 \: x \: {y}^{(3 + 1)} } [/tex]
[tex] = \sqrt{( {2})^{2} \times 6 \: x \: {y}^{4} } [/tex]
[tex] = \sqrt{( {2})^{2} \times 6 \: x \: { ({y}^{2} })^{2} } [/tex]
[tex] = 2 {y}^{2} \sqrt{6x} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Need answer ASAP!!!!
Answer:
The ASAP Math program provides an opportunity for additional small group instruction for students who find the math program challenging. Students in grades 1 to 4 will come to the ASAP room two to three times a week during the math block.
Step-by-step explanation:
Which data value has the highest frequency?
Answer:
33
Step-by-step explanation:
most dots above that point