The area of the dodecagon is 129. 428 square units
How to determine the areaThe formula for the area of a regular polygon is expressed as;
A = 3 × ( 2 + √3 ) × s2
Such that the parameters of the equation are;
A is the area of the polygon.s is the length of the radiusNow, substitute the values, we get;
Area, a = 3(2 + √3 )3.4²
find the square value
Area = 3(2 + √3)11.56
expand the bracket
Area = 3(3.73)11.56
Multiply the values
Area = 129. 428 square units
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the value of x is referring to the hypotenuse of the triangle and not the arc that the x is under
Given that the length of one of the sides of the triangle is the radius, the length of the other leg of the triangle is also 6 units.
Therefore, this is an instance of a 45-45-90 triangle. The value of x can now be solve by
Given that the side length of the 45-45-90 triangle is 6 units, the length of the hypotenuse x is
\(x=6\sqrt[]{2}\)
Ivy is running errands for her mother. She bikes along straight paths to the supermarket, the bank, and then back home.
• Ivy starts from her house at point A.
. First, she goes to the supermarket at point B.
• Next, she goes to the bank at point C.
• Last, she heads back to her house at point A.
Find the distance between Ivy's house and the supermarket and the distance between the supermarket and the bank. Each distance is rounded
to the nearest meter.
3,635 m
2,288 m
2,717 m
854 m
1,523 m
1,014 m
A
1,523 m
The distance between Ivy's house and the supermarket is 1,523 meters, and the distance between the supermarket and the bank is not provided in the given information.
From the given information, we can determine the distance between Ivy's house (point A) and the supermarket (point B) as 1,523 meters. However, the distance between the supermarket and the bank (point C) is not specified.
Therefore, we can conclude that the distance between Ivy's house and the supermarket is 1,523 meters, but the distance between the supermarket and the bank is unknown based on the provided information.
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Does Ramon use a greater amount of buttermilk or cream cheese?
two are playing in a best-of-seven series, say whoever wins four matches first wins the series. in how many ways could the hawkeyes team win this series?
Answer:
3 series I believe
Step-by-step explanation:
7-4=3 this is what I got I believe it's right
Find the length of the missing side. Leave your answer in simplest radical form.
The triangle is not drawn to scale.
A.) 25
B.) 144
C.) 5
D.) Square root of 5
The length of the missing side (hypothenuse) is equal to 5
"Information available from the question"
Opposite side of the triangle(y) = 3
Adjacent side of the triangle (z)= 4
Hypothenuse side of the triangle = x
Pythagorean Theorem
This formula is used to find the missing side of a right angle triangle if two sides are given.
\(x^{2} =y^2+z^2\)
Let's substitute the values into the formula and solve for the hypothenuse
\(x^{2} =3^2+4^2\)
\(x^{2}\) = 9 + 16
\(x^{2}\) = 25
\(x=\sqrt{25}\)
x = 5
The length of the missing side (hypothenuse) is equal to 5.
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Q А A of sc S 12 10 6 4 2. - 20-18-16-14-12-10 -8 6 4-2 -2 2 4 CO 8 10 12 14 16 18 20 R 26 S -8. -10 – 12 Quadrilateral PORS is transformed by translating it 6 units to the right and then rotating it 90° clockwise about the origin. Which coordinate pairs represent vertices of P'O'R'S' after these two transformations?
ANSWER
The pairs that represent vertices from these options are:
• (-7, -3)
• (7, -3)
,• (12, -10)
EXPLANATION
The rule for the translation 6 units right is:
\((x,y)\rightarrow(x+6,y)\)So after the translation the vertices are:
\(\begin{gathered} P(-3,7)\rightarrow(3,7) \\ Q(4,12)\rightarrow(10,12) \\ R(4,-2)\rightarrow(10,-2) \\ S(-3,-7)\rightarrow(3,-7) \end{gathered}\)Then, the rule for a 90º clockwise rotation about the origin is:
\((x,y)\rightarrow(y,-x)\)So, after the rotation, the vertices are:
\(\begin{gathered} (3,7)\rightarrow P^{\prime}(7,-3) \\ (10,12)\rightarrow Q^{\prime}(12,-10) \\ (10,-2)\rightarrow R^{\prime}(-2,-10) \\ (3,-7)\rightarrow S^{\prime}(-7,-3) \end{gathered}\)what is the difference between 95.827 and 58.39
Answer:
37.437
Step-by-step explanation:
Answer:
37.437
Hope it helps
Ray has tea. He has 2.671 liters of tea he pours 0.47 liters in a glass. how many liters did he pour? Solve.
On solving the given problem by help of mathematical operations, we got - After Ray poured 0.47L, he was left with 2.201L.
What does the term "mathematical operations" mean?The term "operation" in mathematics refers to the process of calculating a value using operands and a math operator. For the given operands or numbers, the math operator's symbol has predetermined rules that must be followed.
What are the five operations in mathematics?In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Total amount of tea Ray has - 2.671L
Amount of tea Ray poured - 0.47
Therefore,
amount he was left with was = 2.671- 0.47 = 2.201L
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What is the solution to this inequality?
4(2x + 2) + 12 > 100
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Carla has $300 in her bank account. Each time she goes to the ATM,she withdraws $20. The amount of money left in her bank account after x ATM withdrawal is represented by the function y=300-20x. What does the x-intercept represent?
Answer:
The amount of withdrawals she made.
Step-by-step explanation:
Question 1 of 3
A quadratic function has x-intercepts at (-2,0) and (-1,0). The point (-3, 6) lies on the parabola.
Complete the statements.
The value of a is [Drop Down 1].
The equation of the quadratic function is f(x) = [Drop Down 2] in factored form and f(x) = [Drop Down 3] in standard form.
Drop Down 1:
The value of a is 3
The equation of the quadratic function is
f(x) = 3(x+2) (x+1) in factored form and
f(x) = 3x² + 9x+2 in standard form.
What is a parabola?
A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. A parabola can be described using a point and a line.
The x-intercepts of the parabola are (-2,0) and (-1,0).
So the factors are (x- (-2)) and (x- (-1))
That is, (x+2) and (x+1)
Now the equation of the parabola,
y = a(x+2) (x+1)
To find a substitute the values -3 and 6 for x and y as these points are on the parabola.
6 = a(-3+2)(-3+1)
6 = a ( -1)(-2)
a = 3
So the equation of the parabola is y = 3(x+2) (x+1)
Therefore the complete statements regarding the parabola is:
The value of a is 3
The equation of the quadratic function is
f(x) = 3(x+2) (x+1) in factored form and
f(x) = 3x² + 9x+2 in standard form.
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The area of a circle is 25(pi)ftsq. What is the circumference of the circle? Explain.
Answer:
10(pi)ft
Step-by-step explanation:
the formula for the area of a circle is Pi R^2
if we set this equal to the given area, 25(pi)ftsq=(pi) r^2
and we can cancel between the sides to 25ftsq = r^2, square rooting both, we can find r to equal 5ft.
With this in mind, acknowledging the circumference formula to be 2 (pi) r, we can simply plug it in to get, 2 times 5ft time (pi), or 2*5ft*(pi), or 10(pi)ft
pie charts are most effective with ten or fewer slices.
Answer:
True
Step-by-step explanation:
When displaying any sort of data, it is important to make the table or chart as easy to understand and read as possible without compromising the data. In this case, it is simpler to understand the pie chart if we use as few slices as possible that still makes sense for displaying the data set.
Please help ASAP PLEASEEEEEE ITS MATH
The arrow signs shows that the two opposite sides are parallel and this makes up a parallelogram
Charles can outline the stripe using one roll of the reflective tape.
How to know if the tape will be enoughThe length of each stripe is the hypotenuse of the right triangle and they are equal since they are all parallel
Using Pythagoras theorem given by the the formula
hypotenuse² = opposite² + adjacent²
plugging the values as in the problem
let x be the required distance
x² = 6² + 18²
x² = 36 + 324
x² = 360
x = √360
x = 18.97
for 3 stripes we have that
= 18.97 * 3
= 56.91 approximately 57 inches
since this is less than 144 inches we can say that one roll of the reflective tape can finish the job
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Contains (5, 8) and is parallel to the graph of y=7x-6
The line parallel to line y = 7x - 6 and passing through points (5, 8) is
y = 7x - 27How to write the equation of the line passing through points (5, 8) and parallel to y = 7x - 6Given data
y = 7x - 6
(5, 8) and is parallel
From the line, y = 7x - 6, the slope is 7. Since slope of parallel lines are equal, the new line will have same slope and pass through points (5, 8).
y - 8 = 7 ( x - 5 )
y - 8 = 7x - 35
y = 7x - 35 + 8
y = 7x - 27
Hence we can say that the line parallel to line y = 7x - 6 and passing through points (5, 8) is y = 7x - 27
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The equation of the line parallel to y = 7x - 6 passing through (5, 8) is y = 7x - 27
How to find the equation of a line?The equation of the line is parallel to the equation y = 7x - 6.
Parallel line have the same slope.
Therefore, let's represent the equation as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, the slope of the graph y = 7x - 6 is 7.
The equation of the line that contains (5, 8) and parallel to the graph can be computed as follows
y = 7x + b
let's find the y-intercept
8 = 7(5) + b
8 - 35 = b
b = - 27
Therefore, the equation of the line parallel to y = 7x - 6 passing through (5, 8) is y = 7x - 27
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Can pls someone help I need help pls
(27.26604445073)
this answer for this question
If Hillary spent a total of 4 hours and 35 minutes studying for her Final, how much time, in minutes, did Claudio spend studying for his Final?
Middle School
Hillary spent a total of 275 minutes studying for his Final.
What is unit conversion ?
When a unit conversion is performed, the same property is expressed in a different unit of measurement.
Here it is given that :
Hillary spent a total of 4 hours and 35 minutes studying for her Final
We known that :
1 hours equals 60 minutes
then,
4 hours and 35 minutes will be equals to = 4x60 + 35
= 240 + 35
= 275 minutes
Therefore, Hillary spent a total of 275 minutes studying for his Final.
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be helpful....................................
C=59(F−32)
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 59 degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of 59 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
solve please
Answer:
love how all our accounts got deleted. smh
Step-by-step explanation:
Help Please.........
Answer:
Step-by-step explanation:
Mark or flag this, i realized i messed up when i reread it and there's a better answer underneath this one. My apologies
Answer:
x = - 10.5
Step-by-step explanation:
Given that y is inversely proportional to x² then the equation relating them is
y = \(\frac{k}{x^2}\) ← k is the constant of proportion
To find k use the condition y = 8 when x = 3.5 , then
8 = \(\frac{k}{3.5^2}\) ( multiply both sides by 3.5²
8 × 3.5² = k , that is
k = 98
y = \(\frac{98}{x^2}\) ← equation of proportion
When y = \(\frac{8}{9}\) , then
\(\frac{8}{9}\) = \(\frac{98}{x^2}\) ( cross- multiply )
8x² = 882 ( divide both sides by 8 )
x² = 110.25 ( take the square root of both sides )
x = ± \(\sqrt{110.25}\) = ± 10.5
Thus x = - 10.5 ← is the negative value of x
Which of the following is equivalent to sinθcosec wherever sinθcosec is defined? A. −1. B. 0.5. C. tanθ. D. −tanθ.
The expression sinθcosec is equivalent to 1 wherever it is defined, since cosecθ is the reciprocal of sinθ. Therefore, none of the given options are correct.
The expression sinθcosec is equivalent to 1 wherever it is defined, not any of the given options. To show this, recall that cosecθ is defined as the reciprocal of sinθ, i.e., cosecθ = 1/sinθ. Therefore, sinθcosec = sinθ(1/sinθ) = 1, whenever sinθ is not equal to 0 (since division by 0 is undefined).
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Calculate the volume of the regular triangular pyramid
with the base edges of length 17 feet and a height of
length 5 feet. (Hint: Remember that the base of a
regular triangular pyramid must be an equilateral triangle, not
necessarily congruent to the sides of the pyramid.)
Answer:
70.83 ft³
Step-by-step explanation:
The volume of a pyramid is:
\(\frac{bh}{3}\), where b is the base area and h is the height.
Let's first find the area of the base.
\(17\cdot5=85\\85\div2=42.5\)
Multiplying this by 5:
\(42.5\cdot5=212.5\)
Dividing by 3:
\(212.5\div3=70.83\).
Hope this helped!
what is the solution to the equation represented by the model below?
x= -14
x= -2
x= 2
x= 14
Answer:
C
Step-by-step explanation:
On the left, we have 3 positive x bars and 8 1s.
Hence, the left can be represented by the following expression:
\(3x+8\)
On the right, we have 4 positive x bars and 6 1s.
Hence, the right can be represented by the following expression:
\(4x+6\)
The two are equivalent. Therefore:
\(3x+8=4x+6\)
Solve for x. Subtract 6 from both sides:
\(3x+2=4x\)
Subtract 3x from both sides:
\(2=x\)
Flip:
\(x=2\)
Hence, our answer is C.
Answer:
kelvin is right lol
Step-by-step explanation:
A quadrilateral has the following coordinates:
Point A: (4, 7)
Point B: (–4, 7)
Point C: (–4, –7)
Point D: (4, –7)
What is the length of side CD?
14 units
11 units
9 units
8 units
Answer:
8 units
is the answer I just graphed it
Find the spherical coordinate limits for the integral that calculates the volume of the solid between the sphere rho=4cos(ϕ)rho=4cos(ϕ) and the hemisphere rho=6rho=6, z≥0z≥0 . Then evaluate the integral.
To find the spherical coordinate limits for the integral, we first need to determine the bounds for ρ, θ, and ϕ.
Since the sphere and hemisphere intersect at ρ=4cos(ϕ), we can set these two equations equal to each other to find the limits for ϕ:
4cos(ϕ) = 6
ϕ = arccos(3/2)
For the limits of θ, we note that the solid is symmetric about the z-axis, so we can integrate from 0 to 2π.
Finally, for the limits of ρ, we need to find the limits for z. Since the hemisphere has equation ρ=6 and z≥0, we know that the top of the solid is at z=6. To find the bottom of the solid, we need to solve for z in the equation for the sphere:
ρ = 4cos(ϕ)
z = 4cos(ϕ)cos(θ)sin(ϕ)
Substituting ρ=4cos(ϕ) and simplifying, we get:
z = 2cos^2(ϕ)sin(θ)
Since z≥0, we have:
0 ≤ 2cos^2(ϕ)sin(θ) ≤ 6
0 ≤ sin(θ) ≤ 3/(2cos^2(ϕ))
So the limits for ρ are 4cos(ϕ) ≤ ρ ≤ 6, the limits for θ are 0 ≤ θ ≤ 2π, and the limits for ϕ are arccos(3/2) ≤ ϕ ≤ π/2.
To evaluate the integral, we use the formula for a volume in spherical coordinates:
V = ∫∫∫ ρ^2sin(ϕ) dρdθdϕ
Applying the limits we found above, we get:
V = ∫ from arccos(3/2) to π/2 ∫ from 0 to 2π ∫ from 4cos(ϕ) to 6 (ρ^2sin(ϕ)) dρdθdϕ
Evaluating the integral, we get:
V = 256π/15 - 8/3
Therefore, the volume of the solid is 256π/15 - 8/3 cubic units.
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Worth 60 points for a rapid reply- find the area of each regular polygon. Answers are rounded to the nearest whole number.
The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.
How to calculate for the area of the polygonArea of regular polygon = 1/2 × apothem × perimeter
perimeter = (s)side length of octagon × (n)number of side.
apothem = s/[2tan(180/n)].
11 = s/[2tan(180/12)]
s = 11 × 2tan15
s = 5.8949
perimeter = 5.8949 × 12 = 70.7388
Area of dodecagon = 1/2 × 11 × 70.7388
Area of dodecagon = 389.0634 in²
Area of pentagon = 1/2 × 5.23 × 7.6
Area of pentagon = 19.874 in²
Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.
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suppose you want to line pennies up, diameter to diameter, until the total length is 1 kilometer. assume the width of 1 penny is 2 cm. how many pennies will you need? how accurate is this estimation?
Answer: 50,000 pennies
Step-by-step explanation: there are 100,000 centimeters in a kilometer, since a penny is 2 centimeters in length, divide 100,000 by 2 t get 50,000
Draw a line representing the rise and a line representing the run of the line.state the slope of the line in simplest form
Answer:
slope = 1
Step-by-step explanation:
slope = rise/run. it rose 5 and ran 5. 5/5=1
Which number line shows the solution to the inequality –2(3x – 1) < 8? A. Number lines from minus five to five by increament of one from left to right and each tick mark is labeled. Shaded part from minus infinity to open circle at minus one B. Number lines from minus five by increament of one from left to right and each tick mark is labeled. Shaded part from open circle at minus one to infinity C. Number lines from minus five by increament of one from left to right and each tick mark is labeled. Shaded part from minus infinity to open circle at two D. Number lines from minus five to five by increament of one from left to right and each tick mark is labeled. Shaded part from open circle at two to infinity
Answer:
The correct option is B.
Step-by-step explanation:
The inequality is: -2(3x - 1) < 8.
Solve for x as follows:
-2(3x - 1) < 8
-6x + 2 < 8
-6x < 6
-x < 1
x > -1
The solution for x is in the interval (-1, ∞].
The number line will be:
B. Number lines from minus five by increment of one from left to right and each tick mark is labeled. Shaded part from open circle at minus one to infinity
Adi bought a bag for $25 and sold it at a loss of 10%. Find the selling price of the bag.
Answer:
The selling price of the bag is $22.5
Step-by-step explanation:
Buying Price = $25,
Selling Price = ?
Since they sold it at a loss of 10%,
So, they sold it for a price 10% less than the buying price,
or at 90% or 0.9 of the buying price,
so,
Selling Price = (0.9)(25) = $22.5