fill in th blank. in any circle it takes diameters to equal the circumference a. 3 1/14 brainly
Answers
Given the following statement:
In any circle, it takes ------ diameters to equal the circumference
As we know, the circumference = 2πr = π d
So, the answer will be π which is ≈ 3.142
The decimal part = 0.142 ≈ 1/7
So, the answer will be option B. about 3 1/7
Related Questions
[tex]7.5 + 5f + 16.2 + 2f[/tex]simplified expression
Answers
given :
7.5 + 5f + 16.2 + 2f =
combine like terms
So,
(7.5 + 16.2) + ( 5f + 2f ) = 23.7 + 7f
So,
the simplified expression = 23.7 + 7f
5 Which of the following functions are an example of continuous growth?
Answers
In order to have a function that represents continuous growth, the base value that has a variable as exponent must be the constant value "e":
[tex]\begin{gathered} f(x)=a\cdot b^{cx}\\ \\ b=e \end{gathered}[/tex]Looking at the options, the functions that have this base value are options I and II.
Therefore the correct option is A.
Without doing any calculations, compare expression A to expression B.5A.x 2506B. (250) + ({ x 250)ХChoose the words to complete the comparison.Expression A is Choose...v expression B.r
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We have two expressions and we have to compare them.
We don't need to calculate the exact value of each expression. We can left them as products of 250.
Then, expression A is already 5/6 of 250.
We can rearrange expression B as:
[tex]\begin{gathered} B=(\frac{1}{3}\cdot250)+(\frac{1}{2}\cdot250) \\ B=(\frac{1}{3}+\frac{1}{2})\cdot250 \\ B=\frac{2+3}{3\cdot2}\cdot250 \\ B=\frac{5}{6}\cdot250 \end{gathered}[/tex]Expression B is also 5/6 of 250, so the two expressions are equal.
Answer: expression A is equal to expression B.
Where does the line y = 6x - 13 cross the Y axis?
Answers
A function cross the y-axis when the value of x is 0.
[tex]y=6x-13[/tex]Find the value of y, when x is 0:
[tex]\begin{gathered} y=6(0)-13 \\ y=-13 \end{gathered}[/tex]Then, the line y=6x-13 crosses the y-axis at y= -13Complete the table and ploty = 3x- 1x=0x=1
Answers
Given the equation:
[tex]y=3x-1[/tex]If x = 0, then:
[tex]\begin{gathered} x=0 \\ \Rightarrow y=3(0)-1=0-1=-1 \\ y=-1 \end{gathered}[/tex]next, if x = 1, then:
[tex]\begin{gathered} x=1 \\ \Rightarrow y=3(1)-1=3-1=2 \\ y=2 \end{gathered}[/tex]then, the table would be the following:
and the graph would be:
Try to change the number back to standard form: 6.79 x 10^4
Answers
To standard form
6.79 * 10^4 =67,You are m900
Choose the operation you need to perform first. 2. 3+5x8+2 (1 point) O add 3 and 5 multiply 5 and 8 together Odivide 8 by 2
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2)
The order of operations is shown below
P = parentheses
E = exponent
M = multiplication
D = division
A = addition
S = subtraction
The given expression is 3 + 5 x 8 ÷ 2
The first sign in the expression when we follow the order of operations above is multiplication(x). Thus, the correct option is
multiply 5 and 8 together
Refer to the figure below to answer the following questions: (a) What is the value of "x"? (b) Angle 4 Given ml 72 1\6x + 23 is equal to how many degrees? _ 4x - 34 5. 6
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we get that
[tex]\begin{gathered} 4x-3+6x+23=90\rightarrow \\ 10x+20=90 \\ 10x=70 \\ x=\frac{70}{10}=7 \end{gathered}[/tex]so we have x=7
the angle 4 is equal to
[tex]m\angle4=90-(4\cdot7-3)=90-25=65^{\circ}[/tex]state the direction of opening for f(x)=-(1)/(2)x^(2)+3
Answers
The given expression is a quadratic function. If the leading coefficient is greater than zero in a quadratic function, the parabola opens upward, and if the leading coefficient is less than zero, the parabola opens downward. Graphically,
In this case, the leading coefficient is less than zero, the direction of opening is downward.
A bicyclist rides 11.2 kilometerseast and then 5.3 kilometers southWhat is the angle of thebicyclist's resultant vector?
Answers
Given
A = 11.2 km East
B = 5.3 km south
Find
Angle of the resultant vector
Explanation
Angle of the resultant vector is given by
[tex]tan\emptyset=\frac{Bsin\alpha}{A+Bcos\alpha}[/tex]Here angle between both the vectors is 90 degree
[tex]\begin{gathered} tan\emptyset=\frac{Bsin\alpha}{A+Bcos\alpha}=\frac{11.2(sin90)}{5.3+11.2(cos90)} \\ tan\emptyset=\frac{11.2}{5.3} \\ tan\emptyset=2.11320755 \\ \emptyset=64.67degrees \end{gathered}[/tex]So Angle made from origin = 270+64.67
= 334.67 degree = 334.7 degree(approx)
Final Answer
Angle of resultant Vector = 334.7 degree
Solve for x: 3(x-7)= 15
Answers
Given
[tex]3(x-7)=15[/tex]To solve for x.
Explanation:
It is given that,
[tex]3(x-7)=15[/tex]Then,
[tex]\begin{gathered} x-7=\frac{15}{3} \\ x-7=5 \\ x=5+7 \\ x=12 \end{gathered}[/tex]Hence, the value of x is 12.
kasey is standing in front of a lampost. the distance between kasey's feet and the top of the lampost makes 62 degrees with the ground. the distance from the base of the lampost and kasey's feet is 13 feet . how tall is the lampost? round your answer to the nearest hundredth
Answers
Given:
Angle between distance kasey's feet and the top of the lampost is 62°.
The distance between their bases is 13 feet.
The objective is to find the height of the malpost.
The given situation can be represented as,
Here, AB represent lampost and point C represents position of kasey.
In the right angled triangle, AC is hypotenuse side, BC is adjacent side and AB is opposite side.
The height of the lampost can be calculated using trigonometric ratio of tanθ.
[tex]\begin{gathered} \tan \theta=\frac{opposite}{\text{adjacent}} \\ \tan 62\degree=\frac{x}{13} \\ x=13\tan 62\degree \\ x=24.45\text{ ft.} \end{gathered}[/tex]Hence, the height of the lampost is 24.45 ft.
x = y +10x = 2y + 3(17,7)is it consistent and independent
Answers
Simplify the equation to obtain the y coordinate.
[tex]\begin{gathered} y+10=2y+3 \\ 2y-y=10-3 \\ y=7 \end{gathered}[/tex]Substitute 7 for y in the equaation x = y +10 to obtain the value of x.
[tex]\begin{gathered} x=7+10 \\ =17 \end{gathered}[/tex]So solution of equations is (17,7).
The equations consist of the solution, so equation is consistent and equation has only one solution those equation is independent.
Thus it is consistent and independent.
Translate the figure 2 units right and 7 units down.
Answers
In order to know the translated figure
to the 2 units to the right, we need to add 2 units to x-coordinate
to the 7 units down we need to subtract 7 units to y-coordinate
we have the next coordinates
(1,9), (6,1), (5,6), (6,7)
For
(1+2,9-7)=(3,2)
(6+2,1-7)=(8,-6)
(5+2,6-7)=(7,-1)
(6+2,7-7)=(8,0)
the green one is the figure translated
One of every four doctors recommended Tylenol. If there are 2250 doctors, approximately how many recommended the medicine ?PLEASE HELP OMG I NEED TO TURN IN THIS QUESTION SOON AS POSSIBLE PLEASE. A.225B.560C.850D.10,000
Answers
1 out of 4 doctors recommended the medicine.
That means, one-fourth, of the total doctors recommended the medicine.
We know the total number, 2250.
We take one-fourth of it.
Shown below:
[tex]\frac{1}{4}\times2250=\frac{2250}{4}=562.5[/tex]Matching to answer choices, we see that B is correct.
I need to know the answer to this edmentum question.
Answers
Solution
[tex]x^{\frac{9}{7}}=x^{1+\frac{2}{7}}=x^1\times x^{\frac{2}{7}}[/tex]Solving on;
[tex]Since\text{ }x^{\frac{a}{b}}=\sqrt[b]{x^a}[/tex]Then,
[tex]x^{\frac{9}{7}}=x\times\sqrt[7]{x^2}=x\sqrt[7]{x^2}[/tex]For the right triangle, find the missing quantity indicated below the figure round to nearest tenth
Answers
We are given a right-angled triangle.
The given angle is 50°40'
Let us convert the minute part to degrees
[tex]\begin{gathered} \frac{40^{\prime}}{60}=0.67\degree \\ 50\degree+0.67\degree=50.67\degree \end{gathered}[/tex]With respect to the angle 50.67°, the adjacent side is 17.2' and the opposite side is b.
Recall from the trignonometric ratios,
[tex]\tan \theta=\frac{opposite}{adjacent}[/tex]For the given case, we have
θ = 50.67°
Adjacent = 17.2'
Opposite side = b
Let us substitute these values into the above formula to find the value of b.
[tex]\begin{gathered} \tan (50.67\degree)=\frac{b}{17.2} \\ b=\tan (50.67\degree)\cdot17.2 \\ b=1.2205\cdot17.2 \\ b=21.0^{\prime} \end{gathered}[/tex]Therefore, the value of b is 21.0'
find the area and the circumference of a circle with a diameter of 6 yards use the value 3.14 for it and do not round your answer be sure to include the correct unit in your answer
Answers
Given a circle with a diameter of 6 yards
The radius of the circle (r) = half of the diameter (d)
so,
[tex]r=0.5\cdot d=0.5\cdot6=3\text{ yards}[/tex]The area of the circle is given by the formula:
[tex]\text{Area}=\pi\cdot r^2[/tex]Use: pi = 3.14
so,
[tex]\text{Area}=3.14\cdot3^2=3.14\cdot9=28.26\text{ square yards}[/tex]The circumference is given using the formula:
[tex]C=2\cdot\pi\cdot r[/tex]So, the circumference is:
[tex]C=2\cdot3.14\cdot3=18.84\text{ yards}[/tex]so, the answer is:
Area = 28.26 square yards
Circumference = 18.84 yards
????????????????????
Answers
The formula for the slope of a line is given by:
m = (y2- y1)/(x2 - x1)
where (x1,y1) and (x2,y2) are two points in the line.
1) When a line has a slope with value 0, this means the line is horizontal. In this case all values of y are the same for any value of x.
Thus, an example of two point in a line with slope 0 can be:
(2,6) and (7,6)
These points are the save value of y, if you replace thes values into the formula for m the result is zero because you have zero in the denominator of the right side of the equation.
2) When a line has an undefined slope, this means that the line is vertical. In this case all values of x are the same for any value of y.
Thus, an example of two points in a line with undefinied slope can be:
(2,-4) and (2,6)
If you replace the previoues values into the formula for m, you get 0 in the denominator of the right side of the equation, that is, you have a division by zero, which means that there is an indetermination there.
1-) drawing the following triangle in the cartesian plane The vertices of the triangle are the points A (3,2); B (2,0); and C (-1,-4).2-) use the distance fórmula to find the length of the following line segments or side of your triangle above AB= distance 1 =called. d¹?=CA distance 2 = called d²? BC = distance 3 = called d³?
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We have to draw the triangle with vertices:
[tex]\begin{gathered} A(3,2) \\ B(2,0) \\ C(-1,-4) \end{gathered}[/tex]For doing so, we will draw the points A, B, and C on the plane, and we will trace segments from A to B, from B to C, and from C to A.
We remember that for locating a point in the plane, we call the first number the x-coordinate and the second number the y-coordinate. We locate the x-coordinate on the x-axis and the y-coordinate on the y-axis, and the intersection will be the point desired.
Having this in mind, we obtain:
And joining the segments, the triangle obtained is:
Consider the expressions 3x(x - 2) + 2 and 2x2 + 3x – 16.
Answers
For x = 3, each expression has a value of 11. For x = 6, each expression has a value of 74. These results suggest that the expressions are equivalent
Explanation:The given expressions are:
3x(x - 2) + 2 and 2x² + 3x - 16
Substitute x = 3 into 3x(x - 2) + 2
3(3)(3 - 2) + 2
= 9(1) + 2
= 9 + 2
= 11
Substitute x = 3 into 2x² + 3x - 16
2(3)² + 3(3) - 16
2(9) + 9 - 16
18 + 9 - 16
= 11
Substitute x = 6 into 3x(x - 2) + 2
3(6)(6 - 2) + 2
18(4) + 2= 74
Substitute x = 6 into 2x² + 3x - 16
2(6)² + 3(6) - 16
2(36) + 18 - 16
72 + 2
= 74
For x = 3, each expression has a value of 11. For x = 6, each expression has a value of 74. These results suggest that the expressions are equivalent
The revenue function R in terms of the number of units sold, a, is given as R= 380x - 0.1x^2where R is the total revenue in dollars. Find the number of units sold a that produces a maximum revenue?Your answer is x= What is the maximum revenue? __
Answers
The maximum revenue corresponds to the y-coordinate of the vertex of the graph of the revenue function. And the number of units sold that produces a maximum revenue corresponds to the x-coordinate of the vertex of the graph of the revenue function.
Then, we can find the vertex of the revenue function. For this, we can rewrite the function in its vertex form by completing the square.
[tex]\begin{gathered} f(x)=ax^{^2}+bx+c\Rightarrow\text{ General form} \\ f(x)=a(x-h)^2+k\Rightarrow\text{ Vertex form} \\ \text{ Where }(h,k)\text{ is the vertex} \end{gathered}[/tex]Then, we have:
Step 1: Reorder the terms.
[tex]\begin{gathered} R=380x-0.1x^2 \\ R=-0.1x^2+380x \end{gathered}[/tex]Step 2: We use the general form to find the values of a,b and c.
[tex]\begin{gathered} a=-0.1 \\ b=380 \\ c=0 \end{gathered}[/tex]Step 3: We find the value of h using the below formula.
[tex]h=\frac{-b}{2a}[/tex][tex]\begin{gathered} h=\frac{-380}{2(-0.1)} \\ h=\frac{-380}{-0.2} \\ h=1900 \end{gathered}[/tex]Step 4: We find the value of k using the below formula.
[tex]k=c-\frac{b^2}{4a}[/tex][tex]\begin{gathered} k=0-\frac{380^2}{4(-0.1)} \\ k=\frac{-144400}{-0.4} \\ k=361000 \end{gathered}[/tex]Step 5: We substitute the values of a, h and k into the vertex form.
[tex]\begin{gathered} \begin{equation*} f(x)=a(x-h)^2+k \end{equation*} \\ R=-0.1(x-1900)^2+361000 \end{gathered}[/tex]Thus, the vertex of the revenue function is the ordered pair (1900,361000).
AnswerThe number of units sold that produces a maximum revenue is 1900, and the maximum revenue is $361000.
Test your skills by determining the midpoint of the segment with endpoints (-5.7) and (9.4).
Answers
Given the points: ( -5, 7) and ( 9, 4 )
The midpoint will be calculated as follows :
[tex]M=\frac{(-5,7)+(9,4)}{2}[/tex][tex]M=\frac{(-5+9,7+4)}{2}=\frac{(4,11)}{2}=(\frac{4}{2},\frac{11}{2})=(2,5.5)[/tex]So, the answer will be the midpoint = ( 2, 5.5 )
Hi I need help to find the value of Q
Answers
Given the system of equations:
x - 3y = 4
2x - 6y = Q
Let's find the value of Q.
Let's solve the equations simulateneously using substitution method.
Rewrite the first equation for x:
• Add 3y to both sides of equation 1
x - 3y + 3y = 4 + 3y
x = 4 + 3y
• Substitute (4 + 3y) for x in equation 2:
2x - 6y = Q
2(4 + 3y) - 6y = Q
• Apply distributive property:
2(4) + 2(3y) - 6y = Q
8 + 6y - 6y = Q
8 + 0 = Q
8 = Q
Q = 8
Therefore, the value of Q is 8
ANSWER:
8
This is algebra 2, function graphsI’m a little confused with how to start it out. ( I scribbled the black so you won’t get confused with the other problem)
Answers
Solution:
The graph shown is a graph of a square root function that has been transformed.
The parent square root function is;
[tex]y=\sqrt[]{x}[/tex]The graph of the parent function is as shown below;
The parent function occurs at;
[tex]\begin{gathered} y=\sqrt[]{x} \\ It\text{ occurs at (0,0)} \end{gathered}[/tex]Comparing the parent function to the images in the question.
The red image originates at,
[tex](-3,-3)[/tex]This shows the parent function is translated 3 units to the left on the x-axis and 3 units down from its original position on the y-axis.
Therefore, the equation of the red image is given below;
[tex]\begin{gathered} y=\sqrt[]{x} \\ \\ \text{The equation of the red image translated from the parent function is;} \\ y=\sqrt[]{x+3}-3 \end{gathered}[/tex]The graph is as shown below;
The green image originates at,
[tex](3,3)[/tex]This shows the parent function is translated 3 units to the right on the x-axis and 3 units up from its original position on the y-axis.
Therefore, the equation of the green image is given below;
[tex]\begin{gathered} y=\sqrt[]{x} \\ \\ \text{The equation of the gr}een\text{ image translated from the parent function is;} \\ y=\sqrt[]{x-3}+3 \end{gathered}[/tex]The graph is as shown below;
The table shows the amounts of onions and tomatoes in batches of different sizes in a sauce recipe.Elena observes that if she takes the number in the column for tomatoes and divides it by the corresponding number in the column for onions, she always gets the same result.What is the meaning of the number that Elena calculated?onions (ounces)246tomatoes (ounces)163248
Answers
The meaning of the number that Elena calculated is a ratio.
A ratio says how much of one thing there is compared to another thing.
if m<10=77, m<7=47 and m<16=139, find the measure of the missing angle m<8=?
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Line a and line b are two parallel lines and a cut by the transverse c and d.
But to obtain what angle 8, we will only consider the transverse c.
Below is a plot:
The measure of angle 10 = The measure of angle 8
(Reason: They are alternate angles and alternate angles are equal)
Hello, can you please help me solve question 3 !!
Answers
Use the next trigonometric rules:
[tex]\begin{gathered} \cos 2t=\cos ^2t-\sin ^2t \\ \\ \sin ^2t=1-\cos ^2t \end{gathered}[/tex]Use Cos2t
[tex]\cos ^2t-\sin ^2t-2\sin ^2t=0[/tex]Combine similar terms:
[tex]\cos ^2t-3\sin ^2t=0[/tex]Use sin²t:
[tex]\begin{gathered} \cos ^2t-3(1-\cos ^2t)=0 \\ \\ \cos ^2t-3+3\cos ^2t=0 \end{gathered}[/tex]Combine similar terms:
[tex]4\cos ^2t-3=0[/tex]Add 3 in both sides of the equation:
[tex]\begin{gathered} 4\cos ^2t-3+3=0+3 \\ 4\cos ^2t=3 \end{gathered}[/tex]Divide both sides of the equation into 4:
[tex]\begin{gathered} \frac{4\cos ^2t}{4}=\frac{3}{4} \\ \\ \cos ^2t=\frac{3}{4} \end{gathered}[/tex]Find the square root of both sides of the equation:
[tex]\begin{gathered} \sqrt[]{\cos^2t}=\sqrt[]{\frac{3}{4}} \\ \\ \cos t=\pm\frac{\sqrt[]{3}}{2} \\ \\ \cos t=+\frac{\sqrt[]{3}}{2} \\ \\ \cos t=-\frac{\sqrt[]{3}}{2} \end{gathered}[/tex]Use the unit circle to find wich angles in the given interval have a cos equal to:
[tex]\cos t=\pm\frac{\sqrt[]{3}}{2}[/tex]Solution:
[tex]t=\frac{\pi}{6},\frac{5\pi}{6},\frac{7\pi}{6},\frac{11\pi}{6}[/tex]Which set of ordered pairs does not describe a function? Select one : (- 1, 1), (0, 0), (0, 1), (1, 1), (1, 2); (1, 3) , (2, 6) , (3, 9), (4, 12), (5, 15); (- 1, 1), (0, 0), (1, 1), (2, 4), (3, 9); (1, 2), (2, 3), (3, 4), (4, 5) , (5, 6) It’s five in each row btw
Answers
To be able to determine which set of pairs does not describe a function, that set of pairs mustn't have a complete set of totally unique pairs which a function should have.
Let's check.
1.) (- 1, 1), (0, 0), (0, 1), (1, 1), (1, 2)
- This set of pairs don't have a unique set of pairs. This does not describe a function.
2.) (1, 3) , (2, 6) , (3, 9), (4, 12), (5, 15)
- This set of pair have a unique set of pairs. This does describe a function.
3.) (- 1, 1), (0, 0), (1, 1), (2, 4), (3, 9)
- Not all of its sets of pairs are unique. This does not describe a function.
4.) 1, 2), (2, 3), (3, 4), (4, 5) , (5, 6)
- This set of pair have a unique set of pairs. This does describe a function.
Therefore, the answer is 1 and 3.
A survey was given to 120 sixth-grade students at a middle school. It showed that 48 students said they like playing at the park. What percent of the students surveyed said they like playing at the park? A 40% B 45% C 60% D 65%
Answers
In this case, we'll have to carry out several steps to find the solution.
Step 01:
total students = 120
playing at park students = 48
% = ?
Step 02:
% = part / whole * 100
% = 48 / 120 * 100
% = 40%
The answer is:
40%