Answer:
Area = 102
Step-by-step explanation:
Length 1 side of the octagon.
The formula for the side of an octagon (given the radius of 6) is
s^2 = 2*R^2(1 - cos(45) )
s^2 = 2*6^2(1 - sqrt(2)/2)
s^2 = 72 ( 1 - 0.707)
s^2 = 72*0.2929
s^2 = 21.09
s = sqrt(21.09)
s = 4.5922
===============
Height of one triangle =
H = R * cos(22.5)
H = 6 * 0.9329
H = 5.5433
===============
Area of 1 triangle
Area = 1/2 * s * h
Area = 1/2 * 4.5922*5.4433
Area = 12.7279
Area of 8 triangles
Area of 8 triangles = 1 triangle * 8
Area of 8 triangles = 101.82
Rounded that comes to 102
Comment
I'm sure you can find a formula for this on the internet, but it this is the way the formula works and if you break it down step by step, you can see how the formula works.
Rewrite the formula for area of a circle to find the radius of a circle.
The area of a circle (A) is given by the formula where r is the circle's radius. The formula to find r is . If and , r is centimeters.
The formula to find the radius of a circle, given the area, is r = √(A/π). This comes from rearranging the formula for the area of a circle, A = πr², to solve for r.
Explanation:The area of a circle (A) is traditionally calculated with the formula A = πr², where A represents the circle's area, and r represents the circle's radius. If we want to rewrite this formula to solve for the circle's radius (r), we would divide both sides of the equation by π and then take the square root. This gives us the formula r = √(A/π). So, if we know the area of the circle and want to find out its radius, we can use this formula.
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The formula to find the radius r is: [tex]\[ r = \sqrt{\frac{A}{\pi}} \][/tex]
The area of a circle (A) is given by the formula [tex]A = \pi r^2[/tex], where r is the circle's radius. To find the radius r from the area A, you can rewrite the formula as follows:
Start with the area formula:[tex]\[ A = \pi r^2 \][/tex]
To solve for r, divide both sides by [tex]\pi[/tex]:[tex]\[ \frac{A}{\pi} = r^2 \][/tex]
Finally, take the square root of both sides:[tex]\[ r = \sqrt{\frac{A}{\pi}} \][/tex]
8x+5=bx-7 In the equation shown above, b is a constant. For what value of b does the equation have no solutions?
A: -8
B: -7
C: 5
D: 8
Answer:
D: 8
Step-by-step explanation:
8x+5=bx-7
Subtract bx from each side
8x-bx+5=bx-bx-7
8x-bx +5 = 7
Subtract 5 from each side
8x-bx +5-5 = 7-5
8x-bx =2
Factor out the x
(8-b)x =2
When 8-b =0 we have
0=2 which means we have no solutions since this is never true
8-b=0
Add b to each side
8-b+b=0+b
8=b
Final answer:
For the equation 8x + 5 = bx - 7 to have no solution, the value of b must be d. 8, which results in parallel lines if graphed and signifies an inconsistent equation.
Explanation:
The student has presented the equation 8x + 5 = bx - 7. To find for what value of b the equation has no solutions, we need to compare the coefficients on both sides of the equation because the variables must match for the equation to have a solution. When the coefficients of 'x' are equal, but the constants are different, the equation has no solution. In other words, the equation will be inconsistent, resulting in parallel lines if graphed.
Likewise, if b equals 8, the equation becomes 8x + 5 = 8x - 7. Subtracting 8x from both sides results in an equation 5 = -7, which is a contradiction and hence the equation has no solution. This means the correct answer is Choice D: 8.
On a line graph, time is usually represented by which of the following?
vertical axis
y-intercept
slope
horizontal axis
Answer:
Horizontal axis
Step-by-step explanation:
we know that
In a line graph, vertical axis usually represented the dependent variable and horizontal axis usually represented the independent variable. The time is usually represented in the horizontal axis because is a independent variable
Answer:
Horazontal Axis
Please help I don’t know how to do this! It’s circle theorem geometry
Answer:
AC = 10
Step-by-step explanation:
Two tangents drawn to a circle from the same exterior point are congruent.
AC = AB
Since AB = 10, then
AC = 10
A spinner has six sections of equal shape and size each section is either black or white the table shows the result of an experiment when the spinner was spun 90 times (see photo provided) based on the data witch of the following best describes the experimental probability of the arrow landing on black or white section of the spinner
A.the spinner is equally likely to land on black or white
B.the spinner is 4 times more likely to land on white
C.the spinner is 4 times more likely to land on black
D.the information cannot be concluded form the data table
Answer:
I believe the correct answer is B.
Answer: A
Step-by-step explanation: Just because it landed on black more times doesn't mean it will land on it again also i know its correct because i took the same FLVS exam :)
7x=3y+45
4x+5y=19 what’s the answer and show work
Answer:
x = 6, y = -1.
Step-by-step explanation:
7x = 3y + 45
4x + 5y = 19.... (1)
Rearranging the first equation:
7x - 3y = 45-----(2)
Multiply equation (1) by 3 and equation (2) by 5:
12x + 15y = 57
35x - 15y = 225
Adding :
47x + 0 = 282
x = 282 / 47 = 6.
To find the value of y substitute x = 6 into equation (2):
7(6) -3y = 45
-3y = 45 - 42 = 3
y = 3/-3 = -1.
Answer:
x = 6 and y = -1
Step-by-step explanation:
It is given two equations,
7x = 3y + 45
⇒ 7x - 3y = 45 -------(1)
4x + 5y=19
⇒ 4x + 5y = 19 --------(2)
To solve these equations
eq (1) * 4 ⇒ 28x - 12y =180 ----(3)
eq (2) * 7 ⇒ 28x + 35y = 133 ----(4)
eq(3) - eq(4) ⇒ 0x - 47y = 47
y = -47/47 = -1
eq(1) ⇒ = 7x - 3*-1 = 45
7x + 3 = 45
7x = 45 - 3 = 42
x = 42/7 = 6
Therefore x = 6 and y = -1
A red die is tossed and then a green die is tossed. what is the probability that the red die shows a six or the green die shows a six
Answer:
1/12 or 1/6
Step-by-step explanation:
I need a multiple choice to help but if you get 2 attempts it one of these answers.
1/6 or 1/12
Step-by-step explanation: i cannot help you i need a visual representation
Choose an equation that when paired with the equation below, will create a system of equations with infinitely many solutions, one solution, or no solutions.
Answer:
Infinitely many solutions: [tex]-5x+9y=2[/tex]
One solution: [tex]-10x+5y=4[/tex]
No solution: [tex]-10x+18y=5[/tex]
Step-by-step explanation:
Solve for y from each equation to obtain the equation of the line in slope-intercept form:
[tex]y=mx+b[/tex]
m: slope
b: y-intercept
EQUATION ON THE TOP:
[tex]-10x+18y=4\\\\y=\frac{5}{9}x+\frac{2}{9}[/tex]
Equation 1:
[tex]5y=10x+4\\\\y=2x+\frac{4}{5}[/tex]
The equation on top and the equation equation 1 has different slopes and different y-intercept, therefore the system will have one solution.
Equation 2:
[tex]9y=5x+2\\\\y=\frac{5}{9}x+\frac{2}{9}[/tex]
The equation on top and the equation equation 2 are the same, therefore, the system will have infinitely many solutions.
Equation 3:
[tex]18y=10x+5\\\\y=\frac{5}{9}x+\frac{5}{18}[/tex]
The slopes are equal, then both lines will be parallels, therefpre the system will have no solution.
To form a system with infinite, one or no solutions, a second equation is chosen to be identical or a multiple, have different coefficients, or the same slope but different constants relative to the first equation, respectively.
Explanation:To address the student's question about creating a system of equations with either infinitely many solutions, one solution, or no solutions, it is important to understand the properties of linear equations. When two equations are combined to form a system, the number of solutions is determined by their graphs on a coordinate plane. Three scenarios are possible:
Infinitely many solutions: This occurs when the two equations represent the same line; thus, they are identical or multiples of each other.One solution: This happens when the two lines intersect at a single point, meaning that they are not parallel and have different slopes.No solutions: This is the case when the two lines are parallel but not coincident, having the same slope but different y-intercepts.To create a system with a known outcome, one must write a second equation with either the same coefficients and constant term (for infinitely many solutions), different coefficients (for one solution), or the same coefficients but a different constant term (for no solutions).
For example, if the given equation is y = 2x + 3, an equation for infinitely many solutions could be 2y = 4x + 6, for one solution y = -x + 1, and for no solutions y = 2x + 5.
In football, the team that has the ball has four chances to gain at least ten yards. If they don't gain at least ten yards, the other team gets the ball. Positive numbers represent a gain and negative numbers represent a loss. Select all of the sequences of four plays that result in the team getting to keep the ball.
A. 8, -3, 4, 21
B. 30, -7, -8, -12
C. 2, 16, -5, -3
Answer:
A 8+9+(-3)+4+21 is positive
C 2+16+9-5)+(-3) is also positive
Step-by-step explanation:
The sequence of four plays that the team keeps the ball is,
A. 8, -3, 4, 21.
C. 2, 16, -5, -3.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, If they don't gain at least ten yards, the other team gets the ball.
Therefore, the sequences of four plays that result in the team getting to keep the ball should be more than 10 yards when we take the sum of the sequences.
So, 8 - 3 + 4 + 21 = 30 yards.
30 - 7 - 8 - 12 = 3 yards.
2 + 16 - 5 - 3 = 10 yards.
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Solve x . Im new to this
answer:-
c)12
#brainliest"
16/4-12/3= I need help!!!
the answer is Zero
four minus four equals zero
Change the fractions to have like denominators. 16/4 - 12/3 is the same as 48/12 - 48/12 which equals 0. You could also simplify the original fractions and then subtract. 16/4 is 4 and 12/3 is 4 → 4 - 4 = 0
Choose all that apply. Algebraic terms are separated by ______.
=
-
x
÷
+
X, Division symbol, +, -.
Answer:
=, +, or -
Step-by-step explanation:
You can have 3y + 5y. Or 3y - 5y. Or 3y=5y.
Please help me ASAP
I got these wrong and I want you to correct it
Answer:
8
Step-by-step explanation:
see attached for questions 3's answer
Use factoring to solve for all the solutions of the quadratic equation. x^2 + 25=0
x=5i
x=-5i
x=+/-5
x=+/-5i
Answer:
[tex]\large\boxed{x=\pm5i}[/tex]
Step-by-step explanation:
[tex]i=\sqrt{-1}\to i^2=-1\\==========================\\\\x^2+25=0\qquad\text{subtract 25 from both sides}\\\\x^2=-25\to x=\pm\sqrt{-25}\\\\x=\pm\sqrt{(-1)(25)}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\x=\pm\sqrt{-1}\cdot\sqrt{25}\\\\x=\pm i\cdot5\\\\x=\pm5i[/tex]
Answer: Answer is D
The vertices of a rectangle are given in the columns of the matrix (picture 1).
If (picture 2) is found to perform a transformation, what are the coordinates of the transformed rectangle?
(0, 0), (0, 18), (18, 18), (18, 0)
(0, 0), (18, 0), (18, –18), (0, –18)
(0, 0), (–18, 0), (–18, –18), (0, –18)
(0, 0), (18, 0), (18, 18), (0, 18)
Answer:
(0 , 0) , (18 , 0) , (18 , -18) , (0 , -18) ⇒ the second answer
Step-by-step explanation:
∵ The vertices of the rectangles are:
(0 , 0) , (0 , 6) , (6 , 6) , (6 , 0)
∵ 3 × [tex]\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right][/tex] × R
∴ That is mean The rectangle rotate 270° around the origin
(270° anti-clockwise or 90° clockwise)
and enlargement by scale factor 3
Answer:
(0 , 0) , (18 , 0) , (18 , -18) , (0 , -18) ⇒ the second answer
Step-by-step explanation:
Mathhhh
Write the product using exponents. (−6)⋅(−6)
PERFORM MULITIPLICATION FFAAAASSSSTTTTT!
(b–2)(b+2)(b^2+4)
Answer: =b^4 -16
Step-by-step explanation:
* Hopefully the work below helps:)!!! Mark me the brainliest:)!!!
∞ 234483279c20∞
Which transformation of Figure A results in Figure A'?
a reflection across the y-axis
a reflection across the x-axis
a clockwise rotation of 270° about the origin
a translation of 4 units right
Answer:
A
Step-by-step explanation:
Since we can see that the figure is congruent but just flipped over x = 0, we are just reflecting it across the y=axis.
Answer:
A
Reflection across the y-axis.
Which of the symbols correctly relates the two numbers below? Check all that apply. 100 ? 20
Answer:
>
Step-by-step explanation:
100 is a larger quantity than 20.
Using the is greater than sign shows this relationship between two quantities.
Hope this helps.
-Gumina
For this case we have the following pair of numbers:
100 and 20
We must indicate the correct symbol to relationalize them. That is to say:
<,>, =
So:
[tex]100 <20[/tex]
The relationship is false.
[tex]100> 20[/tex]
The relationship is true. 100 is greater than 20.
Answer:
100 is greater than 20. The opening of the symbol should be pointing to 100. That is: [tex]100> 20[/tex]
give the numerical coefficient of the term -x
the coefficient is the number before x
in this case the coefficient is -1.
Arthur paid $0.84 for 0.25 pound of potato salad. How much does one pound cost
Answer:
$3.36
Step-by-step explanation:
1 pound is 4 times 0.25 pounds.
$0.84 = 0.25 pounds
1 pound = $0.84 times 4
1 pound = $3.36
The cost of one pound should be $3.36
Given information:Arthur paid $0.84 for 0.25 pounds of potato salad.
Calculation of one pound cost:
Since we know that
1 pound is 4 times 0.25 pounds.
So,
$0.84 = 0.25 pounds
Now
1 pound = $0.84 (4)
1 pound = $3.36
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Answer:
line dStep-by-step explanation:
Convert the equation to the slope-intercept form (y = mx + b):
[tex]2x+5y=-10[/tex] subtract 2x from both sides
[tex]5y=-2x-10[/tex] divide both sides by 5
[tex]y=\-\dfrac{2}{5}x-2[/tex]
Put x = 0 to the equation of a line:
[tex]y=-\dfrac{2}{5}(0)-2=-0-2=-2\to(0,\ -2)[/tex]
The lines c and d passes through that's point.
Put x = 5 to the equation of a line:
[tex]y=-\dfrac{2}{5}(5)-2=-2-2=-4\to(5,\ -4)[/tex]
The line d passes through that point.
What is the quotient?
Answer:
1/5^9
Step-by-step explanation:
X^n / X^m = (X)^n-m
5^(-6-3)
5^-9
1/5^9
Best regards
For this case we have that by definition of power properties:
[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]
Then, we have the following expression:
[tex]\frac {5 ^ {- 6}} {5 ^ 3}[/tex]
It can be rewritten as:
[tex]\frac {1} {5 ^ 6 * 5 ^ 3}[/tex]
By definition of power properties we have:
[tex]a ^ m * a ^ n = a ^ {m + n}[/tex]
So:
[tex]\frac {1} {5 ^ 6 * 5 ^ 3} = \frac {1} {5 ^ 9}[/tex]
Answer:
Option A
if you place these marbles in a bag, close your eyes, and choose a marble, what is the probability that it will be
Answer:
P(blue) = 3/7
So '7' belongs in the box
Step-by-step explanation:
There are 14 total marbles, 6 of which are blue. The probability of pulling a blue marble out of the bag is
P(blue) = 6/14, which reduces to 3/7
The probability of drawing a particular marble from a bag depends on the number of that marble initially in the bag and whether the marbles are replaced after being drawn. Probabilities are calculated based on these conditions, including removing a marble of a particular color after another specific color has been removed.
Explanation:The subject of the question is probability, a concept in mathematics. The possibility of drawing a particular color of marble from a bag depends on how many of that color is in the bag to start with, as well as whether or not the marbles are replaced after being drawn.
In the case of James and his bag of four blue and three white marbles, the probability of drawing a blue marble is 4 out of 7 the first and second time he draws because the blue marble is replaced each time.
On the other hand, if the first drawn marble is not replaced (like in the second example), the total number of marbles, and thus the probabilities, change. For instance, after drawing and setting aside one blue marble from a bag containing four blue and three white marbles, the probability of drawing another blue marble becomes 3 out of 6, or 1/2.
Finally, in the case of Mark and his bag of green, red, and yellow marbles, the probability of drawing a yellow marble and then a green marble without replacement can be calculated as the product of the possibility of attracting a yellow marble first, and then the conditional probability of drawing a green marble given that a yellow one has already been removed. This shows how probabilistic events can be dependent on one another.
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find the length of AB. leave your answer in terms of pi. Please please help!!!!
Answer:
3 pi
Step-by-step explanation:
The length of the arc AB is equal to the circumference times the fraction of the circle
AB = 2*pi*r * (degrees/360)
AB = 2 * pi* (27) * (20/360)
= 54 * pi * (1/18)
= 3 pi
We are asked to leave the answer in terms of pi
Actually, the answer should be 1/9 π. To convert from degrees to radians, you use the conversion π/180°. This is what you do: 20°/1 times π/180°. This let's you cancel out the degrees so you are left in terms of pi. That gets you 20π/180 which simplifies to 1/9 π or 0.11π if you need it as a rounded decimal.
What is the median of this set of data values 11,13,14,15,18,20,23,26
Answer: The required median of the given data set is 16.5.
Step-by-step explanation: We are given to find the median of the following set of values :
11, 13, 14, 15, 18, 20, 23, 26.
We know that
(i) If the data contain an odd number of values, then the mid-value is the required median.
(ii) If the data contain an even number number of values, then the average of the two mid-values will be the required median.
Since the given data contains 8 values, which is an even number, so we will consider two mid-values and those are 15 and 18.
The average of 15 and 18 is given by
[tex]A=\dfrac{15+18}{2}=\dfrac{33}{2}=16.5.[/tex]
Thus, the required median of the given data set is 16.5.
Please can someone help me? also please explain it step by step:) ty
Answer:
The answer is D
Step-by-step explanation:
We know that a triangle adds up to 180 degrees.
Solve for x:
Combine like terms.
2x + 3x - 10 + 50 = 180
Subtract 40 on both sides.
5x + 40 = 180
-40 -40
Divide both sides by 5.
5x = 140
---- ----
5 5
And you get a solution of:
x = 28
Check:
Substitute 28 into x and multiply 28 by the number outside of the parentheses.
2(28) + 3(28) - 10 + 50 = 180
Add/Subtract from left to right.
56 + 84 - 10 + 50 = 180
Add them together.
140 + 40 = 180
And you get 180!
180 = 180
Evaluate 15+w for w=6
Answer:
21
Step-by-step explanation:
To evaluate, substitute w = 6 into the expression, that is
15 + w = 15 + 6 = 21
In a fish tank, the number of orange fish is 1 1/4 times the number of blue fish. Drag blue fish to represent the number of blue fish in the tank for every 5 orange fish
Final answer:
For every 5 orange fish in the fish tank, there are 4 blue fish since the number of orange fish is 1 1/4 times the number of blue fish.
Explanation:
In the fish tank scenario where the number of orange fish is 1 1/4 times the number of blue fish, for every 5 orange fish, we need to determine the corresponding number of blue fish. To find this, we can set up a ratio where the number of blue fish (let's call it B) multiplied by 1 1/4 must equal 5 (since 1 1/4 times B is the number of orange fish). So, B * 1 1/4 = 5. This equation can be simplified to B * 5/4 = 5, and by further simplification, we find B = 5 / (5/4) which is equal to B = 4. Therefore, for every 5 orange fish, there would be 4 blue fish in the tank. Hence, if you drag blue fish to represent the number of blue fish, there should be 4 of them for every 5 orange fish.
Find the area and circumference of each circle.
Listed in the Item Bank are some important labels for sections of the image below. To find out more information about labels, some have more details available when you click on them. Drag and drop each label to the corresponding area it identifies in the image.
I don't understand this question can someone please tell me the answer? I attached the picture. I will be giving 50 points for this question. Thank you!
Area = πr^2
Circumference = 2πr
Blue:
Area = 5^2 = 25π
Circumference = 2 * 5 * π = 10π
Pink:
Area = 6^2 = 36π
Circumference = 2 *6*π = 12π
White:
r = 3
Area = 3^2 = 9π
Circumference = 2 *3 = 6π
Red:
Area = 7^2 = 49π
Circumference = 2 *7 = 14π
Blue: Area - 25
Circumference - 10
Pink: Area - 36
Circumference - 12
White: Area - 9
Circumference - 6
Red: Area - 49
Circumference - 14
Hope it helped