The dimensions of a different sector with the same area and perimeter are An alternative sector's radius is 6.42 inches. An alternative sector has an arc length of 16.52 inches.
What does an arc's length signify?The distance between two places along a segment of a curve is known as the arc length.
Sector radius, r = 8.26 inches
Sector arc length = 12.84 inches
Sector perimeter = 2r + length of the arc
The specified sector's perimeter is equal to 2 x 8.26 x 12.84 x 29.36 inches.
The circle's circumference is 2 + 8.26 + 16.52.
The specified circle's area is A = 8.262 * 68.2276.
Sector area, A = 53.0292 inch2
Consequently, we have;
2R plus A equals 29.36 inches
A·R = 53.0292 × 2
that provides;
R² + 53.0292 = 14.68·R
R² - 14.68·R + 53.0292 = 0
using a graphing calculator to factor yields;
(R - 6.42)·(R - 8.26) = 0
R = 6.42 or R = 8.26
R = 8.26 is the measurement for the first sector.
Due to the distinctions between the sectors, we have;
R = 6.42 inches is the radius of the other sector.
The length of the arc, A = 29.36 - 2R
∴ A = 29.36 - 2 × 6.42 = 16.52
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Which angle is a vertical angle to with <7?
Answer: <9
Step-by-step explanation:
what’s the volume????
Answer:
The volume of the cone is 1526.04 km cubed
Step-by-step explanation:
The equation for a right cone is πr^2 multiplied by h/3. The r equals radius and the h equals 18. So, we get the equation π(9)^2 multiplied by 18/3. When put into a calculator, you get 1526.04. (Remember to use 3.12 NOT π.)
What is an inverse proportional graph?
Inversely proportional graphs are reciprocal graphs consisting of one smooth curve in the first quadrant only.
When one quantity grows, the other quantity decreases, and vice versa, this is known as an inverse proportion. Indirect proportion is another name for inverse proportion.
Consider a task like painting a fence as an illustration. The amount of time it takes to complete the task lowers as the number of employees rises. The amount of time it takes to complete the task grows as the number of workers reduces.
If y is inversely proportional to x then we write y = 1/x
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The solution process is shown for an equation. Justify each step in the process with the appropriate property. Select the correct answer from each drop-down menu. 2 ( 3 y + 4 ) − 3 ( y − 2 ) = 2 y original equation 6 y + 8 − 3 y + 6 = 2 y 3 y + 14 = 2 y combining like terms 14 = - y - 14 = y y = - 14
All the steps of the solution are written above. Then all the options are correct. And the solution is - 14.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The equation is given below.
2(3y + 4) − 3 (y − 2) = 2y
Simplify the equation, then we have
2(3y + 4) − 3 (y − 2) = 2y
6y + 8 − 3y + 6 = 2y
3y + 14 = 2y
14 = 2y - 3y
14 = - y
y = - 14
All the steps of the solution are written above. Then all the options are correct. And the solution is - 14.
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Can u please help.......
Using the centroid P on the triangle, the value of QN is 25.5 and PN is 8.5
What is Centroid of a TriangleThe centroid of a triangle is a point located at the intersection of the three medians (the lines that connect the vertices to the midpoints of the opposite sides). The centroid divides each median in two segments that have the same length. It is the center of gravity of the triangle and is the point at which the triangle's three medians intersect.
The centroid theorem states that the centroid of the triangle is at 2/3 of the distance from the vertex to the mid-point of the sides.
In this triangle, the centroid is at P and the QP is 17.
a) QN
The distance between QP is two-thirds the length of QN
The length of QP = 17
QP = 2/3 QN
17 = 2/3 QN
QN = (3 * 17) / 2
QN = 25.5
b) PN
The distance between PN is calculated as;
PN = QN - QP
PN = 25.5 - 17
PN = 8.5
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Select all the equation that depicts one of the properties of exponents
Answer:
1st, 4th and 5th are correct.
Step-by-step explanation:
plzzzzzzzzzzzzzzzzzzzzzzz help I will give 10 points and mark brainlest
Answer:
5^6
Step-by-step explanation:
For items 15 -16 refer to the figure at the right
15. Which is the common side of Ļ BCA and Ļ ACD ?
A. segment BC B. segment CE C. segment AC D. segment CD
16. Which two angles are congruent if segment CD bisects ĻACE
A. Ļ BAC and ĻACE B. Ļ BAC and ĻACD C. Ļ CDE and ĻACE
D. Ļ ACD and ĻCDE
17. What property is described in the statement: AB ≅ AB?
A. transitive B. reflexive C. substitution D. symmetric
18. Which term refers to the collection of axioms or statements about undefined terms?
A. numeral system B. postulates C. axiomatic system D. theorems
19. What basic geometric principle are proven to be true by making connections between accepted definitions?
A. axioms B. postulates C. theorems D. defined terms
20. Which statements are assumed to be true without any proof ?
A. undefined terms B. postulates C. theorems D. defined terms
Answer:
15. C. segment AC
16. D. angles ACD and DCE
17. C. substitution
18. C. axiomatic systems
19. A. Axioms
20. D. Defined Terms
Optimization A cone is made from a circular sheet of radium R by cutting out a sector and gluing the cut edges. What is the maximum volume of the cone
The cone should have its maximum volume. V=1/*3r2h is the formula for calculating the volume V of a cone with height h and radius r.
How do you find the maximum volume of a cone?The cone has a volume of
V=πr2h/3
Therefore, we must calculate the values of r and h in terms of R. R is the diameter of the cone's top-circular circle, and h is the cone's height.
R is the cone's slant height, and it serves as the hypotenuse of a right triangle.
R2 = h2 + r2, or r2 = R2-h2.
So V = (1/3)π
[R2-h2]
h = (π/3)[R2h-h3]
You must take the derivative of the cone's volume, set it to zero, then solve for h to determine the cone's maximum volume.
dV/dh=(π/3)[R2-3h2]
R2-3h2=0 --> h2=R2/3 -> h = R/√3
Now we can determine r:
r2=R2-R2/3 = (2/3)R2
The volume formula with r and h substituted:
V = (π/3)
r2h = (π/3)(2R2/3)
(R/√3)
V(R)=2πR3/(9√3)
The complete question is:
A cone-shaped drinking cup is made from a circular piece of paper of radius R by cutting out a sector and joining the edges CA and CB. Find the maximum capacity of such a cup (Your answer may depend on R).
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1. Indicate whether the value of each expression is positive or negative.
-3(-6)
(-3)(6)
-(-3)(6)
2(3)(-6)
-2(-3)(-6)
2(-3)(-6)
So we know that if you multiply a negative number by a positive number, you get a negative number. We also know that if you multiply a negative number by a negative number you get a positive number! (Two negatives cancel each other out!)
So going down the list:
(-3)(-6) = positive (two negatives!)
(-3)(6) = negative (one negative, one positive!)
-(-3)(6) = positive (this is because you multiple left to right. because the negative is technically a -1 multiplying the -3, your -3 turns into a +3!)
(2)(3)(-6) = negative
(-2)(-3)(-6) = negative (remember, you multiply in the order of left to right! So multiplying the -2 and -3 gives you a positive. However, the -6 makes that positive number negative!)
(2)(-3)(-6) = positive
I hope this helps!
Can someone please help me with this I'm not great with math.
The width of a rectangle is unknown. The length of the rectangle is two more units than its width.
Write a simplified algebraic expression for the area of the rectangle in terms of width (w).
Write your answer in descending order with no spaces. Use w as your variable and use ^ infront of exponents
The algebraic expression for area of rectangle in terms of width(w) is w^2+2w.
What is algebraic expression?
In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.).
The expressions are mainly of 4 types that includes:
Monomial Expression: These expressions have only one term.Binomial Expression: These expressions have two terms.Trinomial Expression: These expressions have three terms.Polynomial Expression: These expressions have many terms.Let the width be w.
So, length of rectangle will be w+2
Now, area of rectangle is length*width
Area= (w+2)*w
= w^2+2w
Hence, a simplified algebraic expression for the area of the rectangle in terms of width (w) is w^2+2w.
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How do you write a log function?
A logarithmic function can be said to be an inverse function of exponents.
There are 2 kinds of logarithmic functions, natural lo and log with a base of 10.
The natural lo has an "e" as its base. This is an irrational number often used in Mathematics.
Here we write it as:-
ln a
where a refers to any number a. We generally don't mention anything for the base because it automatically implies that the base is e.
The second way is to write:-
logₓa,
here the "x" is the base while a is any number. Now logₓa will actually give us the exponent or the power of x that will give us a result of a. Here it is important to mention the value of the base.
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Which expression can be used to find AC
Answer:
7.8cos23 feet
Step-by-step explanation:
Which expression can be used to find AC
From the given diagram;
Hypotenuse = AB = 7.8ft
Adjacent to <A = AC
Using the SOH CAH TOA identity;
cos theta = adjacent/hypotenuse
cos 23 = AC/AB
cos 23 = AC/7.8
AC = 7.8cos23
AC = 7.8(0.9205)
Hence the measure of AC is 7.8cos23 feet
(1) 6:45 p.M. - ______ (2) 17:15 H - ______ (3) 1:25 a.M. - ______ (4) 4:15 p.M. - ______ (5) 00:15 H - ______
Answer:
(1) 6:45 p.M. - ______18: 45H
(2) 17:15 H - ______ 5: 15 pm
(3) 1:25 a.M. - ______ 1:25 Hours
(4) 4:15 p.M. - ______ 16: 15H
(5) 00:15 H - ______ 12:15 am .
Step-by-step explanation:
(1) 6:45 p.M. - ______18: 45H
This is ( 6:45 + 12) 18 hours and 45 minutes from the beginning of day .
So the 24 hour time is 18: 45H
(2) 17:15 H - ______
This is 17 hours and 15 minutes from the beginning of day.
Taking 12 hours from the morning gives 5 hours since midday. So it will be in the evening i.e 5: 15 pm
(3) 1:25 a.M. - ______
This is 1 hours and 25 minutes from the beginning of day.
So it will be in the ( 00:00+ 1:25) 1:25 Hours in the 24 hour clock.
(4) 4:15 p.M. - ______
This is ( 4:15 + 12) 16 hours and 15 minutes from the beginning of day .
So the 24 hour time is 16: 15H
(5) 00:15 H - ______
This is only 15 minutes from the beginning of day.
So it will be in the ( 12:00+ 0:15) 12:15 am .
Steve wanted to build a small racetrack for his remote-control car in his back yard. He used makeshift equipment to make a perfect circle for his racetrack. The circle had a radius of 32 feet. If a car takes 3 complete turns around the racetrack, approximately, how many feet did the car travel?
Answer:
602.88 feet
Step-by-step explanation:
Number of turns = distance travelled / circumference of the circle
The circumference of a circle can be described as the linear distance round the circle
The circumference of a circle = 2πr or πD
π = 3.14
r = radius
d = diameter
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
2 x 3.14 x 32 = 200.96
feet traveled - 200.96 x 3 = 602.88 feet
Find the x value of x. If necessary round to the nearest tenth. A=49sq.in.
Answer:
Step-by-step explanation:
Alright, lets get started.
Area is given as 49 square inches.
The formula for area A =
base is given as x
Height is given as x
Hence area is A
A =
Multiplying 2 in both sides
Taking square root on both sides
hence the answer is x = 9.9 in : Answer
Hope it will help :)
An example of a dangerous passing situation is: When the oncoming car is close and you have a long line of traffic ahead of you When you can't see clearly ahead and the maneuver may not be completed in time All options When road and traffic conditions make driving tricky
Anytime one makes a traffic manoeuvre, such as changing lanes or passing another vehicle, a person put both himself and other drivers on the road in danger.
What are the methods for passing risky situations?
Avoid driving at intersections with railroads, railroad crossings, and entrances to shopping centres.
Only pass to the left if there are two lanes on the road. It is frequently illegal and dangerous to pass on the right. Only when the car in front of you flashes its left turn signal is there an exemption.
When there is a long line of traffic and an oncoming car is right ahead, it is advisable to wait until the incoming vehicle has passed before making a passing motion.
Therefore, it is best to wait until one can see fully ahead because there might be an approaching car right around the bend.
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Identify all of the necessary assumptions for a significance test for comparing dependent means.
>Categorical Data
>At least 15 successes and 15 failures in both groups
>Quantitative Data
>Random Samples or Random application of treatments
>n is greater than or equal to 30 OR Population of Differences could be Normally distributed.
>Both sample sizes are greater than 30 or Both population distributions could be Normally Distributed
The correct answer will be:
Quantitative data, both sample sizes are greater than 30 or Both population distributions could be Normally Distributed, Random Samples or Random application of treatments
There should be just one group for each subject. The observations in each category are unrelated to one another. There were no notable outliers in any category.
The following are the presumptions for a percentage significance test: Data come from a random sample [Sample is large enough, which is presumed to be true when. It should be noted that both quantitative and categorical data can be subjected to a significance test for a proportion.
Most parametric tests begin with the underlying presumption of population distribution. The ratio scale or interval scale measurements, easy random extraction, normal distribution of the data, a sufficient sample size, and homogeneity of variance are all prerequisites for performing the t-test.
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HELP PLEASE—lindo pours 5 gallons of water into 3 buckets. He pours the same amount into each bucket. How much water is in each bucket?
Answer:
5/3 or 1 2/3
Step-by-step explanation:
Simply do 5 / 3 to get your answer. You can either say it is 5/3 or 1 2/3.
Dominik uses 20 grams of filling for each dumpling he makes. He has 1500 grams of dumpling filling. The grams F of filling remaining is a function of d, the number of dumplings Dominik makes.
Answer:
75 dumplings
Step-by-step explanation:
1500/20= 75
Answer:
−20d+1500
Step-by-step explanation:
I did it on khan and it worked
What should be the value of a if the value of 2x² XA 4 equals to 5 when X 0?
The value of a is -1 When we put the value of x as zero all the terms which include x become zero then only constant terms are remaining.
The given question is in the form of an equation.
let's try to understand what is an equation.
There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance,
the equation 4x + 56 = 14 consists of the two equations 4x + 56 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.
There are so many types of equations present linear equations, quadratic equations, and cubic equations.
According to the degree of the equation so many different types of equations.
2x^2 + x -a + 4 = 5 put x = 0.
2*0 + 0 - a + 4 = 5
-a + 4 = 5
-a = 5 - 4
-a = 1
a = -1.
So the value of a is -1.
Given Question is incomplete complete question here
What should be the value of a if the value of 2x^2 + x -a + 4 equals to 5 when x =0.
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please only 2 minutes. this is late now and i need it done NOW. no files i’m so stressed rn
The following table gives annual life insurance premiums per $1,000 of face value. Use the table to determine the annual premium for a $110,000 5-year term policy for a 22-year-old female. Round your answer to the nearest cent.
Answer: $244.20
Step-by-step explanation:
The amounts listed are per $1,000 of coverage so if the coverage is $110,000, first find the number of $1,000 coverages this entails:
= 110,000 / 1,000
= 110
Then multiply this by the cost per $1,000 for a 22 year old female for a 5 year policy:
= 110 * 2.22
= $244.20
6(x+4)=30
how do i solve this?
Anybodyyy know how to do thisss ???
Answer:
volume of a sphere is ⁴/³π r³
⁴/³ ×3.14 × 23³
3 goes into 3.14 , 1.047 times
4 ×1.047×23³
50939.17
Step-by-step explanation:
hope itade sense
Create the quadratic function that contains the points (0,2), (1,0), and (3,10). Show all of your work for full credit.
Answer:
y=7/3x²-13/3x+2
Step-by-step explanation:
Determine the value of c:
y=ax²+bx+c
2=a(0)²+b(0)+c
2=c
Substitute (1,0) into the quadratic and create an equation with a and b:
y=ax²+bx+2
0=a(1)²+b(1)+2
0=a+b+2
-2=a+b
Do the same with (3,10) to get a second equation:
y=ax²+bx+2
10=a(3)²+b(3)+2
10=9a+3b+2
8=9a+3b
Set the two equations equal to each other and solve for a and b:
-2=a+b
8=9a+3b
Multiply first equation by 3 and eliminate b to find a:
-6=3a+3b
- (8=9a+3b)
_______
-14=-6a
14/6=a
7/3=a
Substitute 7/3=a into the first equation:
-2=7/3+b
-2-(7/3)=b
-13/3=b
Final equation:
y=7/3x²-13/3x+2
See the graph for a visual representation
Simplify the following: (3 + 10i) - (-9 - 4i)
*PLEASE INCLUDE EXPLANATION
Answer:
12+14i
Step-by-step explanation:
For -(-9-4i), you need to clean up the parentheses so you would distribute. -1 times -9 and -1 times -4i.
You will get 9+4i
Now you have 3+10i+9+4i. You will now add like terms. 10i+4i= 14i. 9+3= 12.
12+14i
brainliest pls
Can zero be negative
Answer: no
Step-by-step explanation:
Zero is neither positive or negative
I WILL MARK BRAINLYIST
Describe a meal that you could put together that provides 4 servings of both a main
course and a side dish. Explain how you know that it will not exceed the weight limit of the box
A meal that you could put together that provides 4 servings of both a main
course and a side dish and not exceeding the weight limit is 4 servings of
chicken and 4 servings of baked beans.
What are the types of representing data?Data refers to the elements that make up persons, things, events, and ideas. It could be an integer, a title, or anycast. Data must be tabulated after collection in order to study their prominent characteristics. The presentation of data is the name given to such a configuration.
Bar Chart, Histogram, Line Graph, Pie Chart, Frequency Distribution Table.
Given, Each box can hold a maximum of 44 ounces.
By observing the given table we see 4 servings of chicken would weight
2×12.6 oz = 25.2 oz.
And 4 serves of baked beans weigh 14.2 oz.
Therefore, The total serving would weigh (25.2 + 14.2) oz.
= 39.4 oz.
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HELP FAST !!!
“Find the volume of the triangular prism below”
Answer:
1,848 m3
Step-by-step explanation: