**BRAINLIEST IF ANSWERED***
A regular hexagon is shown. What is the measure of half the side length, b, rounded to the nearest whole inch? Use the appropriate trigonometric ratio to solve. *
6 in
24 in
14 in
7 in
Answers
Answer:
(D)7 in.
Step-by-step explanation:
A regular hexagon can be divided into six equilateral triangles.
Therefore:
[tex]b=\dfrac{c}{2}[/tex]
Applying Pythagoras Theorem
[tex]c^2=12^2+b^2\\c^2=12^2+(\frac{c}{2})^2\\c^2-(\frac{c}{2})^2=12^2\\c^2-\dfrac{c^2}{4}=144\\\dfrac{4c^2-c^2}{4}=144\\\dfrac{3c^2}{4}=144\\$Cross multiply\\3c^2=144 \times 4\\3c^2=576\\$Divide both sides by 3\\c^2=192\\$Therefore:\\c=\sqrt{192}\\c=8\sqrt{3}$ in.[/tex]
Recall that b=c/2
Therefore:
[tex]b=4\sqrt{3} \approx 7$ in.[/tex]
The value of b is 7 inches.
Related Questions
12: PLEASE HELP Evaluate the expression a*b where a=6 and b=15
Answers
Answer:
90
Step-by-step explanation:
You're equation is a * b, and that is equal to 6 * 15.
so, it is 90.
In the figure below, XZ =DF and _X = D.
JA
X
F
Which additional information would be enough to prove
that AXYZ ADEF?
1.XY =YZ
2.YZ = ED
3.YZ DE
4:XY = DE
Answers
Answer:
Option (4)
Step-by-step explanation:
Given : XZ ≅ DF and ∠X ≅ ∠D
To prove : ΔXYZ ≅ ΔDEF
Statements Reasons
1). XZ ≅ DF 1). Given
2). ∠X ≅ ∠ D 2). Given
3). XY ≅ DE 3). Required information
4). ΔXYZ ≅ ΔDEF 4). By SAS property of congruence
Therefore, Option (4) will be the answer.
which expression can be used to determine the reference angle for an angle, x, measuing 150 degrees
Answers
Answer:
see explanation
Step-by-step explanation:
150° is in the second quadrant.
To find the reference angle in the first quadrant subtract from 180°
reference angle = 180° - 150° = 30°
Answer:
-180-x
Step-by-step explanation:
Jerry wants to buy his grandpa’s old car for $500.00. He works 10 hours a week at $7.50 an hour. How many weeks will he need to work before he earns enough money to buy the car?
Answers
Answer:
she needs to save up for 3 months
Step-by-step explanation:
please read the question and help me out
Answers
Explanation: There are context clues given in the question that points to the answer. The first clue is that Ali has $40 more than Ben; the second clue is that Deming has 3x what Ben does - see the below for how I arrived at the answer.
$600 - $40 = $560
$560 / 5 = $112 [dividing by 5 because Ben and Ali have the same (minus the $40) and Deming has 3 times what Ben does - that means all together, there is 5 equal amounts of money split between them without the $40]
What's the difference?
Answers
Answer:
first one is the right one
Step-by-step explanation:
Translate into an algebraic expression:40 increased by x%
Answers
Answer:
2/5x
Step-by-step explanation:
x% of 40= x/100×40
= 40/100x = 2/5x
HELP ASAP!!!!!!
A given line has the equation 10x+2y=-2.
What is the equation, in slope-intercept form, of the line that is parallel to the givereline and passes through the
12)
5x+12
5*
1250x-0)
Answers
Answer:
y = -5x + 12
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Step 1: Write given line in slope-intercept form
2y = -2 - 10x
y = -1 - 5x
A parallel line has the same slope but different y-intercept. Therefore, our answer is the 1st Option.
Answer:
A. y = -5x + 12.
Step-by-step explanation:
10x + 2y = -2
2y = -10x - 2
y = -5x - 1
If there is a line parallel to the one listed above, the slope of the second line will be the same as the first.
That means that the line would have a slope of -5.
Since the question asks us to leave the answer in slope-intercept form, we will find an answer that has a slope of -5 in the form of y = mx + b.
Hope this helps!
SOMEONE PLS HELP ME WITH THIS ASAP
The diagram shows a circle with a
circunference of 88 cm and a sector of a circle.
Khairul uses the circle and the sector
to form a right cone with the height of 15 cm Calculate the volume, in cm of the cone formed.
[tex]use \: \pi = \frac{22}{7} [/tex]
Answers
Answer:
Let's solve for the radius.
r = C / 2π = 88 / (2 * 22/7) = 14
Volume of a cone = 1/3 * πr²h
= 1/3 * 22/7 * 14² * 15
= 3080 cm³
Suppose that g(x)=f(x)+5 2which statement best compares the graph of g(x) with the graph of f(x)
A.the graph of g(x) is the graph of f(x) shifted 5 unites up.
B.the graph of g(x) is the graph of f(x) shifted 5 units to the right.
C.The graph of g(x) is the graph of f(x) shifted 5 units down.
D.the graph of g(x) is the graph of f(x) shifted 5 units to the left.
Answers
Answer:
A
Step-by-step explanation:
Given f(x) then f(x) + c represents a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Given
g(x) = f(x) + 5
Thus the graph of g(x) is the graph of f(x) shifted 5 units up → A
What single transformation maps ∆ABC onto ∆A'B'C'? A. rotation 90° clockwise about the origin B. rotation 90° counterclockwise about the origin C. reflection across the x-axis D. reflection across the line y = x
Answers
Answer:
B. rotation 90° counterclockwise about the origin.
Step-by-step explanation:
Transformation is the process by which the size or orientation of a given figure is altered without any effect on its shape. Examples are; rotation, reflection, translation and dilation.
Rotation is the process of turning a figure about a reference point called the origin. While reflection is turning a figure about a line to produce its image.
In the given question, ∆ABC is mapped onto ∆A'B'C' by rotating it at 90° counterclockwise about the origin.
The correct option is (B). rotation 90°counterclockwise about the origin.
Given, ∆ABC and ∆A'B'C' are shown in attached figure.
We have to map ∆ABC onto ∆A'B'C',.
A transformation is a general term for four specific ways to manipulate the shape and or position of a point, a line, or geometric figure.
Transformation is also the process by which the size or orientation of a given figure is altered without any effect on its shape.
A rotation is a transformation in which the object is rotated about a fixed point.The direction of rotation can be clockwise or anticlockwise.
It is clear from the fig that the ∆ABC can be mapped over ∆A'B'C' by the rotation of 90°counterclockwise about the origin.
Hence the correct option is (B). rotation 90°counterclockwise about the origin.
For more details follow the link:
https://brainly.com/question/1571997
What is the probability of drawing two yellow marbles if the first one is NOT placed back into the bag before the second draw? Their is 10 marbles total, 2 yellow, 3 pink, and 5 blue. PLZ I NED DA HELP
Answers
Answer:
pretty sure it would be 4/45. hope this helps!
Find the distance between a point (–7, –19) and a horizontal line at y = 3. Choices are in the attachment...
Answers
Explanation:
The distance we're after is the vertical distance from the point to the line. So we only care about the difference in y values from y = -19 to y = 3
You can count out the spaces or use subtraction along with absolute value
distance from P to Q = |P-Q|
distance from -19 to 3 = |-19-3|
distance from -19 to 3 = |-22|
distance from -19 to 3 = 22
The absolute value is to ensure the result is never negative.
Fred can mow a lawn in 60 minutes. rocky can mow the same lawn in 40 minutes. how long does it take for both fred and rocky to mow the lawn if they are working together? express your answer as a reduced fraction.
Answers
Answer:
24 minutes
Step-by-step explanation:
Fred can mow a lawn in 60 minutes.
Fred's Rate [tex]=\frac{1}{60}[/tex]
Rocky can mow the same lawn in 40 minutes.
Rocky's rate [tex]=\frac{1}{40}[/tex]
Let the time it will take both of them = x minutes
Therefore:
[tex]\frac{1}{60}+\frac{1}{40}=\frac{1}{x}\\$Multiply all through by 1200$\\1200\times \frac{1}{60}+1200\times\frac{1}{40}=1200\times\frac{1}{x}\\20+30=\frac{1200}{x}\\50=\frac{1200}{x}\\$Cross multiply\\50x=1200\\Divide both sides by 50\\x=24\\[/tex]
It would take the two of them 24 minutes to mow the lawn.
Which of the following ordered pairs is a solution of the given system of
linear equations?
(4x + 8y = 8
x + 3y = 13
Answers
Answer:
x=-14 and y = 9
Step-by-step explanation:
hello
4x + 8y = 8 <=> divide by 4 both parts
(1) x + 2y = 4
(2) x + 3y = 13
(2) - (1) gives
x + 3y -x - 2y = 13 - 4 = 9
<=> y = 9
we replace in (1) x + 2*9 = 4
<=> x = 4 - 18 = -14
so x = -14
hope this helps
Help!!!!! please!!!!!
Answers
Answer:
108cm[tex]^{3}[/tex] (B)
Step-by-step explanation:
Find the area of the triangle first.
6 * 4 = 24/2 = 12
Multiply by the width.
12 * 9 = 108
Hey there! :)
Answer:
B. V = 108 cm³.
Step-by-step explanation:
Find the volume of the triangular prism using the formula:
V = 1/2(bh) where b = l × w
Solve for the base:
b = 4 × 9
b = 36 cm²
Plug this into the formula for the volume:
V = 1/2(36 · 6)
V = 1/2(216)
V = 108 cm³. The correct answer is B.
I need help fasttt please
Answers
Answer:
x≥5
Step-by-step explanation:
The function f(x)=2*sqrt(x-5) is transformed from the parent function f(x)=sqrt(x) by:
vertically stretched by a factor of 2
right 5 units
a parent rational equation has a domain of [0,+∞)
this certain equation is moved 5 units to the right, so the domain is:
[0+5,+∞)⇒[5,+∞)
So the domain of f(x)=2*sqrt(x-5) is [5,+∞)
which as an inequality is x≥5
Which best describes the range of a function?
Answers
The range of a function may refer to either of two closely related concepts: The codomain of the function The image of the function
MARK BRAINLIEST PLEASE DEAR...THANKS I LOVE U
HELP PLEASEEEEEEEEEE
Answers
Answer:
x = -1/4(y +3)2 - 2.
Step-by-step explanation:
Here are the steps:
Find if parabola is horizontal or vertical
Find vertex and substitute into equation of step 1
Use another point to find a in the equation.
--------------------------------------------------------------------------------
Parabola is obviously vertical.
that means we use x = a(y - k)2 + h
Our vertex is (-2,-3), and it's also (h, k)
so, our current equation is x = a(y - -3)2 - 2 and if we simplify it,
we get x = a(y +3)2 - 2.
It's not over yet, cuz we still need a.
so, we substitute in a point (x, y). We can use (-4, 1).
We plug in and get -4 = a(1 +3)2 - 2.
We solve like a one variable linear equation and get a = -1/4
Thus our equation is x = -1/4(y +3)2 - 2.
Here are the ingredients needed to make 8 pancakes. 250 ml milk 1 egg 140g flour 5g butter Craig makes 20 pancakes. Work out how much flour he needs.
Answers
350g of Flour
Explanation
Method 1
20/8 • 140g = 350g of Flour
Method 2
If 8 pancakes require 140g Flour
4 pancakes require 70g
Multiply by 5
20 pancakes require 350g
Answer: 56g flour
Step-by-step explanation: 140/20 = 7g
7 x 8 = 56g
Work out the area of this circle.
Take it to be 3.142 and give your answer to 1 decimal place.
4 cm
Answers
→Answer:
[tex]50.3cm^2[/tex]
→Step-by-step explanation:
Well the formula for the area of a circle is [tex]\pi r^2[/tex].
→Given information
Pi is 3.142
radius is 4 cm
answer must be rounded to the nearest tenth
____________________________________________________________
So now we have to plug in the given information into the following formula [tex]\pi r^2[/tex].
(3.142)(4)^2
So now we have to solve this formula using PEMDAS.
So 4 squared is 16 and 16*3.142 is 50.272cm^2.
The question clearly states the given answer must be rounded into the nearest tenth so 50.272 is 50.3 cm^2.
__________________I do hope this helps!__________________________
which two points have an undefined slope
Answers
Answer:
C
Step-by-step explanation:
The set of points with the same x has an undefined slope
Answer:
C. (-3, -3) and (-3, 3)
Step-by-step explanation:
(-1, 1) and (1, -1)
Slope = (-1-1) / (1 - (-1))
= -2 / 2 = -1.
(-1,2) and (2,2)
Slope = ( 2-2)/ ( 2 - -2)
= 0
(-3, -3) and (-3, 3)
Slope = (3 - -3) / (-3 - (-3)
= 6 / (-3+3)
= 6/0 - UNDEFINED.
The line joining these points is vertical.
The correlation coefficient between two quantitative variables is approximately 0.02. What does the value of this correlation coefficient indicate about how well the model fits the data?
Answers
Answer:
The correlation coefficient "tell us" that the model in question does not fit the data well (the correlation coefficient is near zero), in whose case we need to find another that can do it.
Step-by-step explanation:
Roughly speaking, the correlation coefficient "tell us" if two variables could present the following behavior:
As one variable increases, the other variable increases too. In this case, the correlation coefficient is high and positively correlated. As the correlation coefficient is near 1, the correlation between two quantitative variables is almost perfect.As one variable decreases, the other variable decreases too. In this case, the correlation coefficient is also high, but negatively correlated. As the correlation coefficient is near -1, this correlation is almost perfect for this case.There could be no correlation at all. In this case, the correlation coefficient is near a zero value.As we can follow from the question, a correlation coefficient of 0.02 is near to zero. In this case, the correlation coefficient is "telling us" that the two variables do not follow the cases 1 and 2 above described. Instead, it follows the case 3.
Therefore, the model in question does not fit the data well, in whose case we need to find another that can do it. For example, if the model is linear, we need to test an exponential model.
It is important to remember that the correlation coefficient does not tell us anything about that one variable causes the other variable, only behaviors as described above.
Using this distribution, find the probability
that a teenager has 4 or more pairs of shoes
in their closet.
Answers
Answer:
P = 0.3
Step-by-step explanation:
Here, we are to use the probability distribution in the table to calculate the probability that a children has 4 or more shoes in his or her closet
When we say 4 or more, what we mean by this is that the teenager has 4 shoes or 5 shoes
In probability expressions, when we use the term ‘or’ we are simply talking about adding the terms involved
So what we can do here is to add the probability that the teenager has 4 shoes to the probability that the teenager has five shoes
From the table that would be; 0.1 + 0.2 = 0.3
What is the line of best fit? Why do we want the sum of the residuals to be as close to zero as possible?
Answers
Answer:
Step-by-step explanation:
What sis line of best fit?
The line of best fit may be explained as a straight line which is drawn to pass through a set of plotted data point which gives the best and most approximate relationship between the data points. A line of best fit is required to give the best approximate value between the set of plotted data points such that it allows making inference on new data points while also ensuring the least possible deviation from the original data points.
Why do we want the sum of the residuals to be as close to zero as possible?
The line of best fit will be the line which gives the least value of residual error. The residual error is reffered to as the difference between the line drawn and the individual data point plotted. These errors are squared and summed together, the line which produces the least residual error is Considered as the leading ne of best fit for the data.
We want the sum of our residual error to be as close to zero as possible, this is to reduce the deviation between our original or plotted data and the modeled data produced by our line of best fit.
Answer:
Step-by-step explanation:
We wan the residuals to be closest to zero because they will help use later in the equation.
A polynomial of the 5th degree with a leading coefficient of 7 and a constant term of 6 choose 1 answer: . 7x^5+2x^2+6 .6x^7-x^4+5 .6x^5+x^4+7 .7x^6-6x^4+5
Answers
Answer:
7x^5+2x^2+6
Step-by-step explanation:
7x^5+2x^2+6
6x^7-x^4+5
6x^5+x^4+7
7x^6-6x^4+5
5th degree polynomial means the the term with highest degree has degree 5.
7x^5+2x^2+6
6x^7-x^4+5
6x^5+x^4+7
7x^6-6x^4+5
Leading coefficient is the coefficient of the term with highest degree.
Constant is the number with no variable.
7x^5+2x^2+6
factorising can someone plz helpw itht the last one than you
Answers
Answer:
3x^2(3+x)
Step-by-step explanation:
Answer: 3x^2(3+1)
Because it is divisible by 3 and x^2
Expand (x+3)(2x-4)(x-6)
Answers
Answer:
The answer is
2x³ - 10x² - 24x + 72Step-by-step explanation:
(x+3)(2x-4)(x-6)
Expand
We have
(x + 3) ( 2x² - 12x - 4x + 24)
(x + 3)( 2x² - 16x + 24)
2x³ - 16x² + 24x + 6x² - 48x + 72
Simplify
Group like terms
2x³ - 16x² + 6x² + 24x - 48x + 72
We have the final answer as
2x³ - 10x² - 24x + 72Hope this helps you
help plzzzSolution set of 25x2 – 1 = 0 is ____________.
Answers
Answer:
x = 1/5 , and x = - 1/5
Step-by-step explanation:
25x² – 1 = 0
5²x² - 1² = 0
(5x - 1)(5x + 1) = 0
5x -1 = 0, 5x + 1 = 0
x = 1/5 , x = - 1/5
Question 26: write the equation that describes the line with slope=5 and y-intercept =8 in slope intercept form.example: y=mx+b
Answers
Answer:
y = 5x + 8
Step-by-step explanation:
Start with y = mx + b: general slope-intercept form, equation of a line:
Replace m with 5, y with 8 and x with 0 (since the y-intercept is (0, 8):
8 = 5(0) + b. Then b must be 8, and the desired equation is
y = 5x + 8