Answer:
In order to construct a regular octagon inscribed in a circle within the given square, you can follow these steps:
Begin by drawing a square using a black pencil. Label the four corners of the square as A, B, C, and D.Take the center of the square as point O. Use a compass to draw a circle with point O as the center and one of the corners, such as A, as a point on the circumference. Now, using the compass, place the needle on point A and set the width to reach point C. Draw an arc from point A that intersects the circle at point E.Keeping the same compass width, place the needle on point E and draw another arc that intersects the circle at point F.With the compass width still unchanged, place the needle on point F and draw another arc that intersects the circle at point G.Finally, draw a line connecting the points A, E, F, G, and C. This line will complete the octagon, with vertices at the four corners of the square.The octagon is inscribed in the circle, which means that all eight of its vertices lie on the circle. The circle is a round shape, so all of its diameters are the same length. The perpendicular diameters that we drew in step 4 are also the same length, so the four points where the perpendicular diameters intersect the circle are the same distance from the center of the circle. This means that the four sides of the octagon that are formed by connecting these points are also the same length.
The other four sides of the octagon are formed by connecting the vertices of the square. The square is a regular square, so all of its sides are the same length. This means that the other four sides of the octagon are also the same length.
Therefore, all eight sides of the octagon are congruent.
help pls I will give brainliest! 6
Answer:
8. 822
9. 1582
10. 1936
11. 8200
Step-by-step explanation:
pls help me with this question....
Section 1
Answers:
1.6962 = 1.70 to 2 d.p. 0.007395 = 0.007 to 3 d.p. 0.4247 = 0.425 to 3 d.p. 0.007395 = 0.0074 to 4 d.p.-----------------------------
Explanation:
The abbreviation d.p. means decimal places
When rounding to 2 decimal places, we look at the digit in the third decimal place value slot (thousandths place). If the value is 5 or larger, then we round up. In the case of 1.6962, the second 6 tells us to round 1.69 up to 1.70
Something like 0.4247 does not round up because that second 4 is not 5 or larger. So we just are left with 0.42
The same logic applies to three decimal places, but you'll look in the fourth slot this time.
===================================================
Section 2
Answers:
32549 = 32500 to 3 s.f. 909520 = \(91\overline{0}000\) to 3 s.f. (note the overline bar) 32549 = 32550 to 4 s.f. 909520 = 909500 to 4 s.f.-----------------------------
Explanation:
Recall that for a number like 32500, the 0s are not significant. This is because we can write that as 3.25 * 10^4 to convey the same idea. The only significant figures are 3, 2 and 5.
So when rounding 32549 to 3 sig figs, we just pick on the three left most values, and the rest go to 0. The 325 does not round up to 326 because the '4' isn't 5 or larger. Put another way: 32549 is closer to 32500 than it is to 32600
When rounding 909520 to three sig figs, it turns into \(91\overline{0}000\). The line over the first '0' tells us that zero is significant. Without this bar, the zero would be considered not to be significant. The 9095 is closer to 9100 than it is to 9000, so that's why we rounded up.
Find the values of x and y by writing two equations and solving the system of equations.
Answer:
y=2 x=5
Step-by-step explanation:
3x-2y=11
2x-3y=4
you multiply both equations to cancel one variable out. in this case you multiply the first equation by 2 and the second by -3
6x-4y=22
+ -6x-9y=12
--------------------------
0x+5y=10
y=2
you plug that in either equation
3x-2(2)=11
3x-4=11
3x=15
x=5
Which value is a solution of (7)/(4)x^(2)-2=-0.5x+4? A.x=-2 B.x=-1 C.x=1 D.x=5
Answer:
The answer is A.
Step-by-step explanation:
Just answered the question
what is ur favorite anime mine is attack on titan
hello there good people here is 50 points for free have a good day
Answer:
I can't decide
Step-by-step explanation:
Answer:
Mine is one piece and kumo desu nani ga i love it lol
Step-by-step explanation:
) You go shopping and purchase a pair of jeans for $33.29. You also buy two
shirts. Total you spent $53. 43. How much did each shirt cost?
Answer:
$10.07
Step-by-step explanation:
Well you have to subtract 53.43 from 33.29 which equals 20.14 then you have to divide 20.14 by 2 and you get $10.07.
The population of Greensboro (in thousands) was 4,922 in 2004 and 9,100 in 2010. Assume that the relationship between the population (y) and the year (t) is linear, and t=0 represents 2004. a. Write the linear model for this data. b. Use the model to estimate the population in 2015.
The linear model for this data is y = 0.63t + 4.922 and the estimated population of Greensboro in 2015 was 11,530
What is slope?
Slope is a measure of the steepness of a line. It is defined as the change in y-coordinate divided by the change in x-coordinate between any two points on the line.
a. To find the linear model for this data, we need to determine the equation of the line that passes through the two given points: (0, 4.922) and (6, 9.1). The slope of this line can be calculated as:
slope = (change in y) / (change in t)
slope = (9.1 - 4.922) / (6 - 0)
slope = 0.63
Using the point-slope form of a linear equation, we can write the equation of the line as:
y - 4.922 = 0.63(t - 0)
Simplifying, we get:
y = 0.63t + 4.922
Therefore, the linear model for this data is y = 0.63t + 4.922.
b. To estimate the population in 2015, we need to find the value of y when t = 11 (since 2015 is 11 years after 2004). Substituting t = 11 into the linear model, we get:
y = 0.63(11) + 4.922
y = 11.53
Therefore, the estimated population of Greensboro in 2015 was 11,530 (rounded to the nearest whole number).
To know more about slopes visit:
brainly.com/question/14548961
#SPJ1
On subtracting 20 from twice a number we get 50, then the number is
On subtracting 20 from twice a number we get 50, then the number is 35 in this context.
What is Subtraction?This is referred to as a type of mathematical operation in which one number is taken or deducted from the other and the sign is ( - ). this expression is used in every facet of life for their daily activities.
We were told that 20 was subtracted from twice a number to give 50 which means that twice the number is 70. The exact number will therefore be 70/2 which will then result in 35 and is therefore the most appropriate choice.
Read more about Subtraction here https://brainly.com/question/17301989
#SPJ1
or
At the sewing store, Jenny bought a bag of mixed buttons. The bag included 30 buttons, of which 70% were large. How many large buttons did Jenny get?
Hence, according to the question given, we have Jenny got 21 large buttons.
What are ratio and proportional relationships?A ratio is a mathematical relationship between two values that are usually expressed as the quotient of one value divided by the other. In order to compare or explain the relative sizes of two or more quantities, ratios can be used.
A particular kind of ratio called a proportional relationship is one in which the ratio between the two quantities is constant. To put it another way, if you increase one amount by a specific factor, the other amount will also be multiplied by that same factor.
Jenny purchased a bag of mixed buttons containing 30 total buttons,70% were large.
We can use the following method to determine how many large buttons she received:
number of large buttons = percentage of large buttons x total number of buttons
By substituting the provided values, we get the following:
number of large buttons = 70% x 30 buttons
= 0.7 x 30 buttons
= 21 buttons
Therefore, Jenny got 21 large buttons in the bag of mixed buttons.
To learn more about Proportional Relationships
https://brainly.com/question/29765554
#SPJ9
A statistical test used to help answer the question of whether an observed difference is real or just due to chance error.a. trueb. false
a. A statistical test used to help answer the question of whether an observed difference is real or just due to chance error- true
The statistical test referred to in the question is known as a hypothesis test. It is used to determine the probability that the observed difference between two groups or variables is not due to chance but rather represents a true difference. The test involves setting up a null hypothesis, which assumes that there is no difference between the groups or variables, and an alternative hypothesis, which assumes that there is a real difference.
The test calculates a p-value, which represents the probability of obtaining the observed difference by chance if the null hypothesis is true.
If the p-value is below a predetermined level of significance (usually 0.05), then the null hypothesis is rejected and the alternative hypothesis is accepted.
This means that the observed difference is considered real and not just due to chance error.
Hence, If the p-value is below a certain level of significance, the null hypothesis is rejected and the alternative hypothesis is accepted, indicating that the observed difference is real.
learn more about hypothesis click here:
https://brainly.com/question/606806
#SPJ11
Malcolm started with a board that was 62/3 feet long. He then cut off a section that was 3 1/2 feet long. How much of the board is left?
A. 3 1/4 feet
B. 4 feet
C. 3 1/6 feet
D. 9 3/5 feet
Only for I Brainly Expert
The board is 3 1/6 feet left. The correct option is C.
To find out how much of the board is left, we need to subtract the length of the section that was cut off from the original length of the board:
6 2/3 - 3 1/2
To subtract these two mixed numbers, we need to find a common denominator. The smallest common denominator of 3 and 2 is 6:
Next, we can simplify the fractions,
62/3 - 3 1/2
= 20/3 - 7/2
= (40 - 21)/6
= 19/6
= 3 1/6 feet.
Therefore, the answer is C. 3 1/6 feet.
To learn more about fractions;
https://brainly.com/question/10354322
#SPJ1
Question Progress
1272
Simplify the following surds
a) 18
b) 12
c) 32
Will mark brainliest answer
Answer:
___________________________________________________________
FACTS TO KNOW BEFORE SOLVING :-
To simplify a surd , ensure that the number is expressed in such a way that it is the product of factors.Try to express the number as the product of 2 or more perfect squares (if any) because it makes the process of simplifying the surd easier.___________________________________________________________
According to the question ,
a) \(\sqrt{18} =\sqrt{9 \times 2} = \sqrt{9} \times \sqrt{2} = 3\sqrt{2}\)
b) \(\sqrt{12} =\sqrt{4 \times 3} = \sqrt{4} \times \sqrt{3} = 2\sqrt{3}\)
c) \(\sqrt{32} = \sqrt{16 \times 2} = \sqrt{16} \times \sqrt{2} = 4\sqrt{2}\)
3) Each volume of an encyclopedia has two covers, each 1/4-inch thick, and 300 pages of text that are 2-inthick. The books are arranged in order on a shelf. How far does a bookworm travel who burrows his way from the first page of Volume I to the last page of Volume III?
Answer:
7 inches
Step-by-step explanation:
Volume 1 - 300 pages 2 inches
back cover 1/4 inch
Volume 2 - front cover 1/4 inch
300 pages 2 inches
back cover 1/4 inch
Volume 3 - front cover 1/4 inch
300 pages 2 inches
What is 82+(12 3+4)-10
Answer:
82 + (12 + 3 + 4) -10 = 91
82 + (12 times 3 + 4) -10 = 156
82 + (12 divided by 3 + 4) -10 = 73.71
82 + (12 - (3+4)) -10 = 77
I wasn't sure what the space between the 12 and the 3 + 4 meant so I put the answers to what it could have possibly meant.
If m2 DOC = 44º and m2 COB = 80°,
find the measure of the indicated arc
in circle o.
mCB = [?]°
Answer:
80°
Step-by-step explanation:
m<COB = 80°, it's the central angle for arc CB,
so mCB = 80°
A.Find the values for j and k
B.Write an equation for f(x)
well, let's move like the crab, backwards, let's start with b), then we'll do a)
b)
\({\Large \begin{array}{llll} y=ab^x \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=2\\ y=75 \end{cases}\implies 75=ab^2 \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=5\\ y=9375 \end{cases}\implies 9375=ab^5\implies 9375=ab^{2+3}\implies 9375=ab^2 b^3\)
\(\stackrel{\textit{substituting from the 1st equation}}{9375=\underset{ab^2}{(75)} b^3}\implies \cfrac{9375}{75}=b^3\implies 125=b^3 \\\\\\ \sqrt[3]{125}=b\implies \boxed{5=b}\hspace{5em}\stackrel{\textit{we know that}}{75=ab^2}\implies 75=a5^2\implies 75=25a \\\\\\ \cfrac{75}{25}=a\implies \boxed{3=a}\hspace{5em} {\Large \begin{array}{llll} y = 3(5^x) \end{array}}\)
a)
\(\begin{cases} x=0\\ y=j \end{cases}\implies j=3(5^0)\implies j=3(1)\implies j=3 \\\\\\ \begin{cases} x=4\\ y=k \end{cases}\implies k=3(5^4)\implies k=3(625)\implies k=1875\)
need some help with this question.
Answer:
Second from top
f(x) = 25(5)ˣ
Step-by-step explanation:
Spot check:
x = 2, f(x) = 625
f(x) = 25(5)ˣ
f(x) = 25(5)² = 25(25) = 625
x = -1, f(x) = 5
f(x) = 25(5)ˣ
f(x) = 25(5)⁻¹ = 25(0.2) = 5
(a-4) (6a²+ 10a-3) simplify.
Answer: 6a³-14a²-43a+12
Step-by-step explanation:
Explanation is in picture.
Translate the following phrase to an expression. Then, evaluate the expression for n= 3.
the difference between twenty and twice a number
3
26
14
17
Answer:
14
Step-by-step explanation:
4 1by8 - 1 3by5 having trouble
Answer:
hope it's helpful. good luck
Answer: 2²¹/₄₀
Step-by-step explanation:
\(\displaystyle\\4\frac{1}{8}-1\frac{3}{5} =\\\\\frac{4*8+1}{8} -\frac{1*5+3}{5}=\\ \frac{32+1}{8} -\frac{5+3}{5} =\\\\\frac{33}{8}-\frac{8}{5} =\\\\ \frac{33*5-8*8}{8*5}=\\\\ \frac{165-64}{40} =\\\\\frac{101}{40}=\\\\ 2\frac{21}{40}\)
help me find area of this
The area of the given figure is 94.29 \(in^{2}\).
What is the Area?An object of area is how much space it takes up in 2-D. It is the measurement of object is unit squares than , completely cover the surface of a closed figure. The square unit, is frequently expressed as square inches, square feet,square meter,etc. is the accepted unit of area.
How to find area of combination of two shapes?A shape is created by combining multiple shapes is known as a composite figure. We add up all of outside sides of shape to find the perimeter. We calculate the areas of each independently, and then add the resulting areas to determine the area.
First of all ,we will find the area of, the triangle.
The formula for area of a triangle =\(\frac{1}{2} *base* height\).
According to question ,
base of triangle = 10 in.
Height of triangle =11 in.
value of base and height substitute in formula than we get,
area of a triangle =\(\frac{1}{2} * 10 * 11\)
area of a triangle= 1* 5*11
area of a triangle= 55 \(in^{2}\).
Now,we will find the area of semi circle,
The formula for area of semi circle =\(\frac{1}{2} \pi r^{2}\)
According to question ,
\(r=\frac{10}{2} =5 in.\) and use \(\pi =\frac{22}{7}\)
area of semi circle=
\(=\frac{1}{2} *\frac{22}{7}*5^{2} \\\\=\frac{1}{2} *\frac{22}{7}*25\\\\=\frac{11}{7}*25}\\\\=1.57*25\\\\=39.29 in^{2}\)
Now,area of given shape =
\(55 in^{2}+39.29 in^{2}\\\\=94.29 in^{2}\)
Learn more about Area Here:
https://brainly.com/question/25292087
#SPJ1
Main Street Bookstore has 3,132 books. They have 4 times as many books as Water Street Bookstore. Water Street Bookstore has 489 fewer books than Elm Street Bookstore. How many books does Elm Street Bookstore have?
Answer: Elm Street Bookstore has 1,272 books.
Step-by-step explanation:
Read the problem: Main Street Bookstore has 3,132 books. They have 4 times as many books as Water Street Bookstore. Water Street Bookstore has 489 fewer books than Elm Street Bookstore. How many books does Elm Street Bookstore have?
Highlight facts: Main Street Bookstore has 3,132 books. They have 4 times as many books as Water Street Bookstore. Water Street Bookstore has 489 fewer books than Elm Street Bookstore. How many books does Elm Street Bookstore have?
Draw a picture: I drew a diagram to represent the relationships between the bookstores.
Assign variables: Let x be the number of books that Elm Street Bookstore has, y be the number of books that Water Street Bookstore has, and z be the number of books that Main Street Bookstore has.
Write equations: Based on the facts, I can write three equations:
z = 4y (Main Street Bookstore has 4 times as many books as Water Street Bookstore)
y = x - 489 (Water Street Bookstore has 489 fewer books than Elm Street Bookstore)
z = 3,132 (Main Street Bookstore has 3,132 books)
Solve for x: I can substitute y and z in the first equation with the expressions from the second and third equations:
3,132 = 4(x - 489)
Simplify and solve for x:
3,132 = 4x - 1,956
5,088 = 4x
x = 1,272
Check the answer: I can plug in x = 1,272 in the other equations and see if they are true:
y = x - 489
y = 1,272 - 489
y = 783
z = 4y
z = 4(783)
z = 3,132
All the equations are true, so x = 1,272 is the correct answer.
Hope this helps, and have a great day! =)
i dont understand. im better at history
\( \bf \implies{\angle{JND} = 57 \degree}\)
Step-by-step explanation:Given :\( \bf \longrightarrow{\angle{BNL} = 33 \degree}\)
To Find:\( \bf \longrightarrow{\angle{JND} = \: ?}\)
Solution:\( \bf \longrightarrow \: \: \: \angle{BNL} = \angle{DNS} \: \\ \: \: \: \bf [Verically \: Opposite \: Angle]\)
We know that,Two angles are called a pair of vertically opposite angles, if their arms form two pairs of opposite rays.\( \bf \therefore\angle{DNS } = 33 \degree\)
According to the question,\( \bf \longrightarrow \angle{JND} + \angle{ DNS} = 90 \degree \\ \bf \: \: \: \: \: \: \: \: \: [form \: a \: right \: angle]\)
\( \bf \longrightarrow \angle{JND} +33 \degree= 90 \degree\)
\( \bf \longrightarrow \angle{JND}= 90 \degree - 33 \degree\)
\( \bf \longrightarrow \angle{JND}= 57 \degree \)
So, the measure of angle JND is 57°.9 books are to be bought by a student. Some cost $6 and the remainder cost $3 each. if the total amount spent was $39, how many of each are bought?
Please explain your answer.
Answer:
four nine dollar books
Step-by-step explanation:
36 divivded by 9
whats 17×3297÷47+70=
Answer:
1,262.5
according to the calculator lol
Answer:
17×3297÷47+70=
Step-by-step explanation:
1262.53191489
ASAP answer it please.!!!!!!!!!!!!!!!!!!! thank uuu
Answer:
X=120 and y=10,z=120
Step-by-step explanation:
corresponding angles
thus 120=(13y-10)=x
Sarah's bill at the restaurant was $39. She left a tip of 20%.
What was the tip amount? Round your answer to the nearest
hundredth.
Answer:
The tip amount is $7.80.
Step-by-step explanation:
To calculate the tip amount, you can multiply the bill amount by the tip percentage.
Tip amount = Bill amount * Tip percentage
In this case, the bill amount is $39 and the tip percentage is 20%.
Tip amount = $39 * 0.20 = $7.80
Rounding the answer to the nearest hundredth, the tip amount is $7.80.
Answer:
$7.80
Step-by-step explanation:
$39 x 0.2 = $7.80
f(x,y,z)=x^2+y^2+z^2 s:z=x^2+y^2=49,0≤z≤49
The given function is F(x, y, z) = x^2 + y^2 + z^2, subject to the constraint z = x^2 + y^2 = 49 and 0 ≤ z ≤ 49.
What is the objective of the given problem and what are the constraints?The objective of the problem is to find the minimum or maximum value of the function F(x, y, z) = x^2 + y^2 + z^2, while satisfying the constraint z = x^2 + y^2 = 49 and the range of 0 ≤ z ≤ 49.
This means that we need to optimize the value of F(x, y, z) within the given constraints.
To solve this problem, we can use the method of Lagrange multipliers. By introducing a Lagrange multiplier λ, we can set up the following equations:
2x = 2λx,
2y = 2λy,
2z = 2λ(z - 49),
x^2 + y^2 - 49 = 0.
By solving these equations simultaneously, we can find the values of x, y, z, and λ that satisfy the equations and the given constraints.
Learn more about function
brainly.com/question/30721594
#SPJ11
Eric runs a coffee shop and bought 5,480 cups at the beginning of the week. At the end of the week, he had 20% of the cups left. How many cups does Eric have left?
Answer: 1,096 cups
Step-by-step explanation:
Answer: 1096 cups left.
Step-by-step explanation: 20% of 5,480 is 1096. This is accurate because 20% is one-fifth of 100%. In this case, 5,480 is our 100%. When you divide 5,480 by 5, you get the answer 1,096, which is 20% of the 5,480 cups that Eric started with.
Have a great day! :)
If you have 2 balls in a sack and you take one pout what do you have left?
Answer: 1 left
Step-by-step explanation:
2-1 = 1