Answer:
ok so the answer is 191.4250159
Step-by-step explanation:
you use this C = 2√πA to solve. I hope this helps!
What is the circumference of a circle with sector area 9π and arc measure 90 degrees?
By using the area of circle formula, the solution of the given problem of circle comes out to be 6 + π cm
Describe the circle.Every location in the plane of a circle is equally separated from the center and is a closed, as double object. Each line tracing the circle contributes to the formation of a line of reflection symmetry. Additionally, each angle has axis of symmetry around the center.
Here,
A 9 Pi square centimeter circle's sector has a 60 degree center angle. The sector's exterior border is
Circle area is equal to. πR² = 9π
Circumference =2πR
=> 2π*3 = 6π cm
Arc length equals (60/360)*6 to cm
Arc's perimeter is calculated as follows: Radius + Length of Arc + Radius = π +3 + 3 = 6 + π cm
Therefore , the solution of the given problem of circle comes out to be
6 + π cm.
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By using the area of circle formula and circumference of a circle formula, the solution of the given problem of circle comes out to be 12π cm
Describe the circle.Every location in the plane of a circle is equally separated from the center and is a closed, as double object. Each line tracing the circle contributes to the formation of a line of reflection symmetry. Additionally, each angle has axis of symmetry around the center.
Here,
sector area of circle = 9π
arc measure = 90°
Area of sector = (arc/360°)*πr²
⇒ 9π = (90°/360°)πr²
⇒ 9π = (1/4)πr²
⇒ 4*9π = πr²
⇒ 36 = r²
⇒ 6² = r²
r = 6
and Circumference of circle = 2πr
=> 2π*6 = 12π cm
Therefore , the solution of the given problem of circle comes out to be
12π cm.
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.
If sin (A + B) = 1 and tan (A - B) = 1/v3, find the value of:
i) tan A+ tan B
ii) sec A- cosec B
If sin (A + B) = 1
and tan (A - B) = 1/√3
To Find :-value of:
i) tan A+ tan Bii) sec A- cosec BSolution :-We know that,
sin 90 = 1tan 30 = 1/√3So,
sin(A + B) = sin90(A+B)=90tan(A - B) =tan 30(A-B)=30A + B + A - B = 90 + 30
(A + A) + (B - B) = 120
2A = 120
A = 120/2
A = 60By putting value of A in 2
A - B = 30
60 - B = 30
-B = 30 - 60
-B = -30
B = 30Finding valuestan 60 + tan 30
We know that
tan 60 = √3tan 30 = 1/√3√3 + 1/√3
√3 × √3 + 1/√3
3 + 1/√3
[tex]4/√3[/tex]
sec A- cosec B
sec 60 - cosec 30
We know that
sec 60 = 2cosec 30 = 22 - 2 = [tex]0[/tex]
Hence,tan A+ tan B=4/√3
sec A- cosec B=0
What does 5 and 3/8 equal
Answer:
If you want the improper fraction 43/8
If you want it in a decimal 5.375
Step-by-step explanation:
Answer:
5 3/8 or 5.375
Step-by-step explanation:
Assuming that your "and" means addition, 5 and 3/8 is
5 3/8 or 5.375
AOC and BOD are diameter of a circle, centre O, prove that ABD and DCA are congruent by RHS
It is proven that ΔABD ≅ ΔDCA by RHS congruency criteria.
RHS congruency criteria:Triangles must have equal corresponding sides and equal corresponding angles in order to be congruent.
According to the RHS congruence theorem, two right-angled triangles are congruent if their respective hypotenuses and sides are the same as those of another right-angled triangle.
Here we have
AOC and BOD are diameters of a circle and have a center O.
It is given that AOC and BOD are diameters of a circle.
From the triangles Δ AOC and ΔBOD
⇒ BD = CA [ Diameters of the circle i.e Hypotenuse of triangles ]
⇒ ∠BAD = ∠CDA [ Right angles in a semicircle is 90°]
⇒ AD = AD [ Common in both triangles i.e sides of triangles ]
Thus, Using RHS congruence criteria
⇒ ΔABD ≅ ΔDCA
Hence,
It is proven that ΔABD ≅ ΔDCA by RHS congruency criteria.
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Please help me pleaseee
Given:
The quadratic function is:
[tex]f(x)=(x+2)^2+1[/tex]
To find:
The graph of the given quadratic function.
Solution:
The vertex form of a quadratic function is:
[tex]f(x)=a(x-h)^2+k[/tex] ...(i)
Where, a is a constant and (h,k) is the vertex of the graph of the quadratic function.
We have,
[tex]f(x)=(x+2)^2+1[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]a=1[/tex]
[tex]h=-2[/tex]
[tex]k=1[/tex]
Now,
[tex](h,k)=(-2,1)[/tex]
It means the vertex of the graph of the given function is at point (-2,1).
Only in graph C, the vertex of the parabola is at (-2,1).
Therefore, the correct option is C.
What is 72 1/4 in a decimal
Answer:
I think it's 0.18 in decimal
Please answer these questions! I will give brainliest
Answer:
2. k = -24
3. y = 50
4. m = -13
5. b = 8/7
6. x = -1/2
7. a = -4
8. k = 7.8
Step-by-step explanation:
2. -20 ÷ 5/6
3. 18 ÷ 0.36
4. -1/2 * 26
5. 6/7 + 2/7
6. 1/8 - 5/8
7. -2.3 - 1.7
8. 3.4 + 4.7
Those should be good. Good luck
What are the domain and range of this function
(0, -4)
(10,-2)
(-10, -2)
(1, -6)
The graph indicates that the line segment's domain and range are [-5, 1] and [-4, 7, respectively.
what is domain?The range of values a function may accept is referred to as its domain. These numbers represent the x-values of a function like f. (x). The range of values that a function may operate on is referred to as its domain. The value that the function returns following the insertion of the x value is this set. A function containing the independent variable x and the dependent variable y is said to be y = f(x). A value of x is said to be in the domain of a function f if it can be used to successfully create a single value y utilizing the value of x for that purpose.
The range refers to all potential values of y, while the domain refers to all conceivable values of x.
The graph indicates that the line segment's domain and range are [-5, 1] and [-4, 7, respectively.
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Simplify as far as possible. 2 √ 3 + 2 √ 27
The required simplified solution of the given expression is 8√3.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Given expression,
= 2 √ 3 + 2 √ 27
Since √27 = 3√3
= 2√3 + 2× 3√3
= √3 [2 + 6]
= √3[8]
= 8√3
Thus, the required simplified solution of the given expression is 8√3.
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Combine like terms to simplify this expression:
8 + 7y + 2y + 4
Answer: The resulting expression is 8+9y+4, which simplifies to 12+9y.
Step-by-step explanation: To combine like terms, we add the coefficients of the terms that are the same. In this expression, the like terms are 2y and 7y. Their coefficients are 2 and 7, respectively, so when we add them we get 2+7=9. The resulting expression is 8+9y+4, which simplifies to 12+9y.
There are 120 five-digit numbers that can be made from the digits 1, 2, 3, 4, 5 if each digit is used once in the number. That smallest is 12,345 and the largest is 54,321. If these 120 numbers are listed in order from smallest to largest, what is the 73rd number in the list?
Answer:
41235
Step-by-step explanation:
There are 120 five-digit numbers that can be made from the digits 1, 2, 3, 4, 5 if each digit is used once in the number,
The total number of times where each number will occur or be at first place is calculated as:
4! = 4 × 3 × 2 × 1
= 24
Hence,
24th number = The last number where 1 is at first place
We can write this out as:
12345
12354
12435
12453
12534
12543
13245
13254
13425
13452
13524
13542 e.t.c.
48th number = The last number where 2 is at first place
72nd place = The last number where 3 is at first place.
This means, the 73rd number is the first number where 4 is at first place.
Therefore, the 73rd number based on pattern is 41235
A child plants flower seeds in her backyard in May. The flowers bloom in July. Is this an example of a
positive, negative, or no relationship between data
When you want to Add or Remove Filters, you select Data in the ribbon, and then Filter. You would prefer to do this with one click, so you decide to add Filters to the Quick Access Toolbar. Which of the following could you use to accomplish this? 1. Excel Preferences II. Quick Access Toolbar Down Arrow O I only Il only Both I and II Neither I nor II
I would choose both I and II for accomplishing the task of "When you want to Add or Remove Filters, you select Data in the ribbon, and then Filter. You would prefer to do this with one click, so you decide to add Filters to the Quick Access Toolbar."
What is filters?Click the Commands Not in the Ribbon option in the Customize Quick Access Toolbar dialog box. Click Filter in the list of commands. Select the Add option. Press the OK button. You may use the FILTER function to filter a set of data depending on criteria you provide. The Filter option makes it simple to narrow down your search field.
Here,
I would choose both I and II to complete the task of "When you wish to Add or Remove Filters, go to the Data ribbon, then Filter. You'd prefer to do this with a single click, so you add Filters to the Quick Access Toolbar."
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Use the illustration below to determine which statements are true. Select the two statements that are true statement 1: Points A, E, and C are collinear. statement 2: Lines I and m intersect at point D. statement 3: AE and DC are line segments on line I. statement 4: EA and EC are rays on the line m.
The required true statements for the given lines are 1 and 4.
What is line segments?An element or portion of a line with two endpoints is called a line segment. A line segment, in contrast to a line, has a known length. A line segment's length can be calculated using either metric measurements like millimeters or centimeters, or conventional measurements like feet or inches.
According to question:Statement A: E and C are co-linear.
It is true, E and C are lie in same line
statement 2: Lines I and m intersect at point D.
It is false, I and m intersect at point E.
statement 3: AE and DC are line segments on line I
It is false,because AE and DC are line segments placed in different line.
statement 4: EA and EC are rays on the line m.
It is true, as EA and EC are in same line m.
Thus, required true statements are 1 and 4.
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Answer:
1 and 4
Step-by-step explanation:
How many ways are there to arrange $6$ beads of distinct colors in a $2 \times 3$ grid if reflections and rotations are considered the same
There are 90 ways to arrange 6 beads of distinct colors in a 2*3 grid if reflections and rotations are considered the same.
In order to reach this result, we may use Burnside's Lemma, which states that the average number of arrangements of a symmetric object's symmetric parts, is taken throughout the set of all possible symmetry operations of the object.
You may fix one element and position the rest around it because of the rotation. You now have a total of 90 configurations available.
Thus, If reflections and rotations are treated equally, there are 90 ways to arrange 6 beads of different colors on a 2*3 grid.
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Which equation should be used to find the volume of the figure?
Answer:
The first one
Step-by-step explanation:
The figure shown is a rectangular pyramid
The volume of a rectangular pyramid can be calculated using the formula
[tex]V=\frac{1}{3} lwh[/tex]
where l = length of base, w = width of base and h = height
We have a given length of 6 in, a given width of 4 in and a given height of 8 in
That being said, we plug in the given values into the formula
[tex]V=\frac{1}{3} (6)(4)(8)[/tex]
This equation matches A therefore A is the answer
TEKS 7.61 Nataly has 6 pink bows, 1 blue bow, and 3 purple bows in a box. She will randomly choose 1 bow from the box. What is the probability Nataly will choose a pink bow?
Given:
Number of pink bows = 6
Number of blue bows = 1
Number of purple bows = 3
Nataly will randomly choose 1 bow from the box.
To find:
The probability that the Nataly will choose a pink bow.
Solution:
The total number of bows is:
[tex]6+1+3=10[/tex]
The total number of bows is the total outcomes.
Total outcomes = 10
The number of pink bows is the favorable outcomes.
Favorable outcomes = 6
We know that, the probability that the Nataly will choose a pink bow is
[tex]\text{Probability}=\dfrac{\text{Number of pink bows}}{\text{Total number of bows}}[/tex]
[tex]\text{Probability}=\dfrac{6}{10}[/tex]
[tex]\text{Probability}=0.6[/tex]
Therefore, the probability that Nataly will choose a pink bow is 0.6.
The figure below to the left is a graph of f(x), and below to the right is g(x).
The figure below to the left is a graph of f(x), a
(a) What is the average value of f(x) on 0≤x≤2? avg value = __________
(b) What is the average value of g(x) on 0≤x≤2? avg value = __________
(c) What is the average value of f(x)?g(x) on 0≤x≤2? avg value = _________
(d) Is the following statement true?
Average(f)?Average(g)=Average(f?g)
A. Yes
B. No
The average value of both f(x) and g(x) on 0≤x≤2 is 1/4. The average value of (f.g) on 0≤x≤2 is 0 and the statement avg(f) . avg(g) = avg(f . g) is false.
avg value of a function = 1/(b - a) ∫f(x) with limts a and b. Here a and b are the constraints under which the average has to be calculated.
a)
Hence average value of f(x) on 0≤x≤2
= 1/2 ∫f(x) with 0 and 2 as intervals
Since integration is basically the area under the curve we get
avg of f(x) = 1/2[area under curve from 0 to 1 + Area under the curve from 1 to 2]
Since from 0 to 1, the figure is a triangle and beyond that a straight line we get
1/2[1/2 X 1 X 1 + 0]
= 1/4 sq units
b)
Similarly, the average value of g(x) on 0 ≤ x ≤ 2
1/2[area from 0 to 1 + area from 1 to 2]
= 1/2[0 + 1/2]
= 1/4 sq units
c) here we need to find the average of f(x) . g(x)
Here we see that f(x) is 0 from x = 1 to x = 1 while g(x) id 0 from x = 0 from x = 1
Hence we see that on multiplying the functions, the resultant has to be a 0 function.
Hence its average value will be 0.
d)
Average(f) . Average(g) = 1/4 X 1/4
= 1/16
Average of (f.g) = 0
Hence the statement is false
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Complete Question
The figure attached to the left is a graph of f(x), and below to the right is g(x).
The figure below to the left is a graph of f(x), a
(a) What is the average value of f(x) on 0≤x≤2? avg value = __________
(b) What is the average value of g(x) on 0≤x≤2? avg value = __________
(c) What is the average value of f(x) . g(x) on 0≤x≤2? avg value = _________
(d) Is the following statement true?
Average(f) . Average(g)=Average(f.g)
A. Yes
B. No
A cone with a height of 15 yards has a volume of 475.17 yd^3 find the diameter of the cone
Answer: h = 15 yards
Volume = 475.17 cubic yards
Diameter = 5.5*2 = 11.0 = 11 yards
HOPE THIS HELPS
Determine whether each pair of ratios forms a proportion (yes or no): A) 7/12, 21/24 B) 12/39, 8/36 C) 4/3.2, 22/17.6
Answer:
I believe its C xd, have a good day hun <3
Step-by-step explanation:
The correct pair of ratios which form proportion is,
⇒ 4/3.2, 22/17.6
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
The ratios are;
A) 7/12, 21/24
B) 12/39, 8/36
C) 4/3.2, 22/17.6
Now,
For A;
⇒ 7 / 12 = 0.583
⇒ 21/24 = 0.875
Thus, It is not form a proportion.
For B;
⇒ 12/39 = 0.307
⇒ 8/36 = 0.222
Thus, It is not form a proportion.
For C;
⇒ 4/3.2 = 1.25
⇒ 22/17.6 = 1.25
Thus, It is form a proportion, because both the ratio are same.
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Will give brainliest, *15 points*
Brian has two rectangular sheets of paper. The length of the larger sheet is 1 1/2 times the length of the smaller sheet. The width of the larger sheet is 1 3/5 times the width of the smaller sheet. By what factor is the area of the larger sheet greater than the area of the smaller sheet?
The two expressions below have the same value when rounded to the nearest hundredth
log5b log948
what is the approximate value of logb to the nearest hundredth
0.93
1.23
9.16
65.53
The approximate value of ㏒(b) to the nearest hundredth is 1.23.
Logarithms:The other method to write exponents in mathematics is using logarithms. A number's base-based logarithm is equal to some other number. A logarithm performs exponentiation's exact opposite function.
In Logarithms, ㏒ₐ(b) = ㏒(b)/ ㏒(a)
Given that
The two expressions below have the same value when rounded to the nearest hundredth
=> ㏒₅ (b) = ㏒₉ (48)
As we know ㏒ₐ(b) = ㏒(b)/ ㏒(a)
=> ㏒₅ (b) = ㏒(b)/㏒(5)
=> ㏒(b)/㏒(5) = ㏒₉ (48)
=> ㏒(b) = ㏒₉ (48) ㏒(5)
=> ㏒(b) = (1.7618)(0.6989)
=> ㏒(b) = 1.23132202
=> ㏒(b) = 1.23
Therefore,
The approximate value of ㏒(b) to the nearest hundredth is 1.23.
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Help me now pleasee!!!
Which of these is the algebraic expression for "5 times the sum of 2 and y?" (1 point)
A. 5 ⋅ 2 + y
B. 2 + 5 ⋅ y
C. 2(5 + y)
D. 5(2 + y)
Which of these is the algebraic expression for "5 times the sum of 2 and y?" (1 point)
A. 5 ⋅ 2 + y
B. 2 + 5 ⋅ y
C. 2(5 + y)
D. 5(2 + y) ✔
______________
Answer:
D 5(2+y)
Step-by-step explanation:
"5 times (so moltepli by 5) the sum (the answer of a addition equation) of 2 and y?".
hope this helps, pleas give Brainliest. :)
8t + 2 = 8(4) + 2
= 32 + 2
Please help me asap!!
Answer:
its 28
Step-by-step explanation:
Answer:
The top second one :))
Step-by-step explanation:
Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is y = 0
My last question please help I keep getting it wrong!!
Answer:
4
[tex]4 \sqrt{2(2) + 8} = 4 \sqrt{4 + 8 } = 4 \sqrt{12} = 4(6) = 24[/tex]
What number would you need to multiply the first equation by to eliminate the y variable when solving the system of equations by elimination?
We would need to multiply the first equation by -4 to eliminate the y variable when solving the system of equations by elimination.
The first equation is: 3x + 4y = 5
To eliminate the y variable when solving the system of equations by elimination, we need to multiply the first equation by -4. This is because when two equations are multiplied by the same number, any terms that have the same variable will be eliminated when the equations are added together.
Formula:
3x + 4y = 5
-4(3x + 4y = 5)
3x + 4y = 5
-12x - 16y = -20
Thus, we would need to multiply the first equation by -4 to eliminate the y variable when solving the system of equations by elimination.
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12, 6, 3, 1.5 common ratio
Answer:
14
Step-by-step explanation:
You can determine the common ratio by dividing each number in the sequence from the number preceding it.
please help me please help me the problems are up above
The volume of a sphere with radius [tex]r[/tex] is [tex]\frac{4}{3}\pi r^3[/tex]. If the radius is multiplied by a constant [tex]k[/tex], then the new volume is [tex]\frac{4}{3} \pi (kr)^3[/tex], which is equal to [tex]k^3 \cdot \frac{4}{3} \pi r^3[/tex]. This means that the volume of the sphere is multiplied by [tex]k^3[/tex].
a. If the radius is doubled, the volume is multiplied by 8
b. If the radius is tripled, the volume is multiplied by 27
c. if the radius is quadrupled, the volume is multiplied by 64