What is the area of 4 in a circle?
Answers
On solving the provided question, we can say that, 16 square units make up the area of a circle with a radius of 4 units.
what is radius?The length of a circle or sphere, in more contemporary use, is the same as its radius in classical geometry, which is one of the line segments from its center to its circumference. The Latin word radius, which also refers to the spokes of a wagon wheel, gave rise to the term. Through the center of the circle, a straight line defines the diameter. Half of the diameter is the radius. End in the circle's center after beginning at one of its points.
what is area of circle?Pi times the radius squared equals the area of a circle (A = π r²). Learn how to apply this equation to determine a circle's area given its diameter.
16 square units make up the area of a circle with a radius of 4 units.
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Related Questions
In the example for “solving right triangles using trigonometric ratios”, students solved for a triangle given angle 0 = 48 and b = 10 using cosine and secant. Use the diagram below as a reference
Answers
using trigonometric ratios, following is the proof.
In what way may I locate trigonometric ratios?You can determine trigonometric ratios by either utilizing the provided acute angle or by figuring out the ratios of the right-angled triangle's sides. The formula for trigonometric ratios is sin = Perpendicular/Hypotenuse. base/hypotenuse = cos.
Its given that
θ = 48 , b = 10
Cos θ = b/c
Cos 48 = 10/c Equation (A)
Sec 48 = c/b
sec 48 c/10 Equation (B)
Equation (A) × Equation (B)
Cos 48 × Sec 48
10/c × c/10
1 =1
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Mandi has $40 to spend at the fair. The admission to get into the fair is $5 and each ride is $1.75
Write an inequality to represent the situation using r for the number of rides
Answers
I dont know why i did this i need to be doing my work
**PIC INCLUDED**
What is the total payment
required to pay off a promissory
note issued for $500.00 at 10%
ordinary interest and a 180-day
term?
Answers
Answer:
the total payment need to pay is $525
Step-by-step explanation:
Given that
The amount at promissory note issued is $500
The rate of interest is 10%
And, the time period is 180 days
So, the total payment included is
= $500 + ($500 × 10% × 180 days ÷ 360 days)
= $500 + $25
= $525
hence, the total payment need to pay is $525
Suppose that n =100 random samples of water from a freshwater lake were taken and the calcium concentration (milligrams per liter) measured. A 95% CI on the mean calcium concentration is (0.49 ≤ µ ≤ 0.82). a) Would a 99% CI calculated from the same sample data be longer or shorter, explain your answer? b) Consider the following statement: There is a 95% chance that µ is between 0.49 and 0.82. Is this statement correct? Explain your answer. c) Given the information that the σ = 5.6, find the sample size needed to compute a 90% CI of width 2.3.
Answers
a) a 99% confidence interval calculated from the same sample data would be longer than the 95% confidence interval, b) the statement that there is a 95% chance that µ is between 0.49 and 0.82 is incorrect
c) to compute a 90% confidence interval with a width of 2.3 and given a population standard deviation of 5.6, a sample size of approximately 71 is needed.
a) A 99% confidence interval provides a higher level of confidence compared to a 95% confidence interval. As the level of confidence increases, the width of the confidence interval also increases. This is because a higher confidence level requires a wider interval to capture a larger proportion of possible population values. Therefore, the 99% confidence interval calculated from the same sample data would be longer than the 95% confidence interval.
b) The statement that there is a 95% chance that µ (the population mean) is between 0.49 and 0.82 is incorrect. Confidence intervals are not a measure of the probability of a parameter falling within the interval. Instead, they provide a range of values within which the true parameter is likely to lie. The interpretation of a 95% confidence interval is that if we were to repeat the sampling process many times and construct 95% confidence intervals, approximately 95% of those intervals would contain the true population parameter. However, for any specific confidence interval, we cannot make probabilistic statements about the parameter's presence within that interval.
c) To compute a confidence interval with a specific width, we can use the formula:
Sample Size (n) = (Z * σ / E)^2,
where Z is the z-score corresponding to the desired confidence level, σ is the population standard deviation, and E is the desired margin of error (half the width of the confidence interval). In this case, the desired confidence level is 90%, the desired width is 2.3, and the population standard deviation is 5.6. Plugging these values into the formula, we can solve for the sample size (n).
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Find area of scalene triangle side having 6cm,5cm and 4cm.
Answers
i see you watching to my question plss help me i will give additional points if you answer?plssss
if a copper solid has a volume of 8.75 cm3, what is the volume in cubic inches? group of answer choices 0.534 in.3 143 in.3 1.36 in.3 22.2 in.3 3.44 in.3
Answers
The volume of a copper solid that is 8.75 cm3 is equal to 0.534 in3. To convert from cubic centimeters (cm3) to cubic inches (in3), you need to divide the volume by 16.387. In this case, the calculation would look like this: 8.75 cm3 / 16.387 = 0.534 in3.
Cubic centimeters and cubic inches are two units of volume measurement that are often used in different fields. A cubic centimeter (cm3) is a metric unit of volume equal to a cube with sides that are one centimeter long. A cubic inch (in3) is a unit of volume in the imperial system that is equal to a cube with sides that are one inch long. To convert from one to the other, the above formula must be used.
Converting from cm3 to in3 can be useful in many different fields, including engineering, manufacturing, and construction. For example, if a product is designed to have a certain volume, knowing the volume in both cm3 and in3 can be important. This is because different parts of the world often use different units of measurement.
In conclusion, the volume of a copper solid that is 8.75 cm3 is equal to 0.534 in3. To convert from cubic centimeters to cubic inches, the volume must be divided by 16.387. This can be useful in many different fields, as different parts of the world often use different units of measurement.
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Rewrite the slope in intercept form.
x-3y=15
Answers
Answer:
x=3y+15
Step-by-step explanation:
-3y = 15-x
y = -5 + ¹/₃x
FIND THE THE
MISSING ANGLE:
45°
60°
Х
Answers
Answer:
75
Step-by-step explanation:
45+60 and the answer subtracted by 180
Answer:
The missing angle is 75 degrees
Solve the system of equations using substitution.
4x - y = 7
3y – 12x = -21
(3,5)
(6, 17)
no solution
infinite solutions
Answers
Answer:
Infinite amount of solutions
Step-by-step explanation:
Step 1: Write systems of equations
4x - y = 7
3y - 12x = -21
Step 2: Rewrite
-y = 7 - 4x
y = 4x - 7
Step 3: Solve for x
Substitute in y into second equation: 3(4x - 7) - 12x = -21Distribute 3: 12x - 21 - 12x = -21Combine like terms: -21 = -21Here we see that we would have infinite amount of solutions.
Answer: infinite solutions. Just took the quiz
Step-by-step explanation:
. How many cups of yellow paint should you mix with 1 cup of blue paint to make the same shade of green? Explain
Answers
Answer:
We need to find, the number of cups of yellow paint should mix with 1 cup of blue paint to make the same shade of green. We know, produce same shade ratio should be constant. Let, cups of yellow shade is x. Therefore, cups of yellow shades required is (5)
Theresa runs 2/7 of a mile in 1/4 of an hour. How fast does she run per hour?
Answers
Answer:
15/28
Step-by-step explanation:
Data Set 20
$3.04 $7.07 $2.82 $3.03 $3.28 $4.91 $4.09 $5.49 $5.02 $4.15 $4.53 $3.06 $5.56 $6.08 $2.87 $4.56 $5.20 $2.48 $4.12 $3.55 $3.49 $6.24 $5.01 $2.43 $4.70 $2.31 $7.41 $7.09 $4.81 $6.62 From the data set of fuel prices above; · Find the mean and standard deviation for the data set. Please do not try to do this by hand, but use the functions in Excel. · Find the Confidence Interval for your data. Sample initial post: First find the mean and standard deviation.
Then put this in an excel cell =confidence.norm(0.5,stdev,samplesize) and hit enter. This is the E value. (Note: please use your standard deviation and sample size and not the words.)
Set up your confidence interval: (mean-E, mean+E)
Formula you used above for the confidence interval:
The formula is E= zsubc * sigma / sqrt n
Where the left hand endpoint is xbar - E and the right hand endpoint is xbar + E
Answers
The mean of the given fuel prices data set is $4.61 with a standard deviation of $1.62.
To calculate the mean and standard deviation in Excel, you can use the following functions:
Mean: The AVERAGE function calculates the mean of a range of values. In this case, enter "=AVERAGE(A1:A30)" in an Excel cell, assuming the data is in cells A1 to A30.
Standard Deviation: The STDEV.S function calculates the standard deviation of a range of values. Enter "=STDEV.S(A1:A30)" in an Excel cell to calculate the standard deviation of the data set.
Using the mean ($4.61) and standard deviation ($1.62), we can now proceed to calculate the Confidence Interval.
The Confidence Interval can be determined using the formula: E = Z * (σ / √n)
In the formula, Z is the z-score corresponding to the desired level of confidence (e.g., 95% confidence corresponds to a z-score of approximately 1.96), σ is the population standard deviation (which can be estimated using the sample standard deviation in this case), and n is the sample size.
Let's assume we want a 95% confidence interval for the data set with a sample size of 30. We can use the formula "=CONFIDENCE.NORM(0.05, STDEV, 30)" in an Excel cell to calculate the E value.
Substituting the values into the formula, we get E = 1.96 * (1.62 / √30) ≈ 0.595.
Now, we can set up the confidence interval using the mean and E value:
Confidence Interval = (mean - E, mean + E)
Confidence Interval = ($4.61 - $0.595, $4.61 + $0.595)
Confidence Interval = ($4.015, $5.205)
Therefore, the 95% Confidence Interval for the given fuel prices data set is approximately $4.015 to $5.205.
In summary, the mean of the fuel prices data set is $4.61 with a standard deviation of $1.62. The 95% Confidence Interval for the data is approximately $4.015 to $5.205.
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Fareeda is researching a paper for her astronomy class and has identified a book of star charts that she feels would be a useful resource. Unfortunately, neither the school nor the local city library has it in their collections, and it would be expensive to purchase. However, there is a copy of the book at another school's library, about 150 miles away. What would be the BEST way for Fareeda to obtain the book for her research
Answers
Step-by-step explanation:
I would suggest that she studies or do a cost analysis of what it will cost her to transport to the library to request for the book and return it, if it is not expensive as compared to the cost of the book she should travel down to request for it. else she should purchase the book
Or
Fareeda can simply check if the second library has a distant library services so that the book can be either
1. Sent to her home or placement address, or
2.Scans of book chapters and articles be emailed to her.
Which event took place during the Copernican revolution, when most people started to believe in a heliocentric model of the solar system? Aristotle developed his model of the solar system. Copernicus rediscovered Aristarchus's heliocentric model. Kepler's laws of planetary motion. Newton's theories of gravity were dismissed and considered invalid.
Answers
Answer: B
Step-by-step explanation:
B) Copernicus rediscovered Aristarchus's heliocentric model. The event which took place during the Copernican revolution.
Answer: HELP
Step-by-step explanation:
HELP MEEEE
factorise 4px-3my-2pm-6xy
Answers
Answer:
E
Step-by-step explanation:
NO
PLEASE HELP I DON'T KNOW WHAT TO DO
Solve for f (n) and show your work.
The question asks whether repeating two simple arithmetic operations will eventually transform every positive integer into 1.
Answers
Yes, repeating two simple arithmetic operations will eventually transform every positive integer into 1.
Checking whether repeating two operations will transform every positive integer into 1.From the question, we have the following parameters that can be used in our computation:
f(n) = n/2 if n%2 = 0
f(n) = 3n + 1 if n%2 = 1
The above definition means that
f(n) = n/2 if n is even
f(n) = 3n + 1 if n is odd
To check if repeating operations would transform to 1, we can set n = 10
and then evaluate the function values
So, we have
f(10) = 10/2 = 5
f(5) = 3(5) + 1 = 16
f(16) = 16/2 = 8
f(8) = 8/2 = 4
f(4) = 4/2 = 2
f(2) = 2/2 = 1
See that the end result of the operations is 1
Hence, repeating two operations will transform every positive integer into 1
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3.
5.
Unit 11-4 Study Guide and Intervention (continued)
Areas of Regular Polygons and Composite Figures
Areas of Composite Figures A composite figure is a figure that can be separated into regions that are basic figures.
To find the area of a composite figure, separate the figure into basic figures of which we can find the area. The sum of
the areas of the basic figures is the area of the figure.
Example: Find the area of the shaded region.
3m
The figure is a rectangle minus one half of
a circle. The radius of the circle is one half of 30 or 15.
A=lw-ar²
50 f
15 ft
20 m
Chapter 11
= 50(30) – 0.5x(15)2
1146,6 or about 1147 ft²
Exercises
Find the area of each figure. Round to the nearest tenth if necessary.
1.
2.
30 ft
14 cm
34 ft
38 cm 40 cm
598.4ft
10 cm.
.
64 m
466 cm²
140 m
20 m
1920m²
4.
6.
b.
26
The dimensions of the rectangle are
10 centimeters and 30 centimeters. The area of the
shaded region is
(10)(30)-3(52)=300-75x
24 in
40 in.
42 cm-
5 cm
24 in.
122 cm-
H
35 yd
960in²
64.4 cm²
r
104cm2
15 yd
€265.5 yd
Glencoe Geometry
Answers
The areas of the figures are 598.3125 sq ft, 960 sq in, 466 sq cm, 704 sq cm, 1920 sq m and 262.5 sq yd
Finding the area of the figuresFigure 1
The area is calculated as
Area = Rectangle + Semicircle
So, we have
Area = 15 * 34 + 1/2 * 3.14 * (15/2)^2
Area = 598.3125 sq ft
Figure 2
The area is calculated as
Area = Parallelogram * 2
So, we have
Area = 24 * (40/2) * 2
Area = 960 sq in
Figure 3
The area is calculated as
Area = Triangle 1 + Triangle 2
So, we have
Area = 1/2 * 38 * 14 + 1/2 * 40 * 10
Area = 466 sq cm
Figure 4
The area is calculated as
Area = Triangle + Square
So, we have
Area = 1/2 * 22 * (42 - 22) + 22 * 22
Area = 704 sq cm
Figure 5
The area is calculated as
Area = Trapezoid * 2
So, we have
Area = 1/2 * (20 + 40) * 64/2 * 2
Area = 1920 sq m
Figure 6
The area is calculated as
Area = Triangle 1 * 2
So, we have
Area = 1/2 * 35 * 15/2 * 2
Area = 262.5 sq yd
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I’m confused on 12, I know the angles for both sides but I don’t know what to do next
(Left arrow is 135 degrees, right arrow is 45 degrees.)
Answers
Answer:
270°
Step-by-step explanation:
req angle= 360-90=270°
There is a balcony that forms part of a circle around a stage, and they need to put up a safety railing. How long of a railing do they need if the radius of the circle is 40 feet, and the arc takes up 45°? Use 3.14 for pi.
Answers
The length of the railing needed is 31.4 feet
Calculating the length of an arcFrom the question, we are to determine the length of railing needed
To determine the length of railing needed, we will determine the length of the arc formed by the balcony
Using the formula,
l = θ/360° × 2πr
Where l is the length of the arc
θ is the angle subtended by the arc
and r is the radius
From the given information,
θ = 45°
r = 40 feet
Putting the parameters into the equation, we get
l = 45°/360° × 2 × 3.14 × 40
l = 1/8 × 2 × 3.14 × 40
l = 2 × 3.14 × 5
l = 31.4 feet
Hence, the length of the railing needed is 31.4 feet
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duane spins a fair spinner what is the probability it will land on 4 write your answer as a decimal
Answers
Answer:
Give me what the steps are what are the numbers
Step-by-step explanation:
If cos theta = 0.3090, which of the following represents approximate values of sin thetha for 0 degrees <90 degrees?
A. sin thetha =0.9511;tan theta = 0.3249
B.sin thetha =0.9511 ;tan thetha =3.0780
C. sin thetha 3.2362 ; tan thetha=0.0955
D. sin thetha = 3.2362;tan thetha=10.4731
Answers
The approximate value of sin(theta) for 0 degrees < theta < 90 degrees, given cos(theta) = 0.3090, is approximately ±0.9511. The correct answer from the given options is A, which states sin(theta) = 0.9511 and tan(theta) = 0.3249.
To determine the value of sin(theta) given that cos(theta) is 0.3090, we can use the identity \(\(\sin^2(\theta) + \cos^2(\theta) = 1\)\).
Since we know cos(theta) is 0.3090, we can substitute it into the identity:
\(\(\sin^2(\theta) + 0.3090^2 = 1\)\)
\(\(\sin^2(\theta)\)\) + 0.095481 = 1
\(\(\sin^2(\theta)\)\) = 0.904519
Taking the square root of both sides, we get:
sin(theta) = √(0.904519)
sin(theta) ≈ ±0.9511
So, the approximate value of sin(theta) is approximately ±0.9511.
Now let's evaluate the given options:
A. sin(theta) = 0.9511; tan(theta) = 0.3249
B. sin(theta) = 0.9511; tan(theta) = 3.0780
C. sin(theta) = 3.2362; tan(theta) = 0.0955
D. sin(theta) = 3.2362; tan(theta) = 10.4731
We can eliminate options C and D immediately since the value of sin(theta) cannot be greater than 1.
Now, let's consider options A and B. Both options have sin(theta) = 0.9511, which matches our approximate value. However, the value of tan(theta) in option A is 0.3249, while in option B it is 3.0780.
Since we're looking for values of sin(theta) and tan(theta) that are consistent with the given cos(theta) = 0.3090, we can conclude that option A is the correct answer.
Therefore, the approximate values of sin(theta) and tan(theta) for 0 degrees < theta < 90 degrees are:
sin(theta) ≈ 0.9511
tan(theta) ≈ 0.3249
Therefore, the correct answer is A. sin(theta) = 0.9511; tan(theta) = 0.3249.
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find the sum of all 2 digit multiples of 6
Answers
Answer:
The sum of all 2 digit multiples of 6 is 810
Step-by-step explanation:
12+18+24+30+36+42+48+54+60+66+72+78+84+90+96 = 810
Answer:
810
Step-by-step explanation:
2 digit multiples of 6 are 12,18,24...90,96
You can just add them on your calculator.
A trapezoid is plotted on the coordinate plane
What are the new coordinates of the trapezoid after it is rotated 180° clockwise about the origin?
Answers
Answer:
c
Step-by-step explanation:
For what amount of exit proceeds would these two structures yield the same amount of carried interest?
.20 (Z-250) = .30 (Z-200)
Solve for Z.
Answers
Answer:
Step-by-step explanation:"To solve this equation, you can start by distributing the 0.20 and 0.30 terms. Then, you can simplify the equation by combining like terms. After that, you can isolate the variable Z on one side of the equation by adding or subtracting terms from both sides. Finally, you can solve for Z. The solution is Z = 1000. Does that help?"
PLS HELP!!! there were 90 runners to start a race. In the first half of the race, 1/3 of them dropped out. In the second half of the race, 2/3 of the remaining runners dropped out.
Answers
There were 90 runners to start a race.
If 1/3 dropped out, that means only 2/3 of them are left, so we have:
Number remaining after the first round of dropout = \(\frac{2}{3} *90 = \frac{180}{3} =60\)
If 2/3 dropped out in the second half, only 1/3 of them are left, so we have
Number remaining after the second round of dropout = \(\frac{1}{3} *60 = 20\)
Thus there are 20 runners remaining at the end.
solve the following system of equations using the substitution method. –6x 2y = 8 y = 3x 4 question 9 options: a) no solution b) (0, 4) c) infinitely many solutions d) (8, 8)
Answers
The correct answer is option c) infinitely many solutions..
To solve the system of equations using the substitution method, we'll substitute the value of y from the second equation into the first equation and solve for x.
Given:
-6x + 2y = 8 ---(1)
y = 3x + 4 ---(2)
Substitute equation (2) into equation (1):
-6x + 2(3x + 4) = 8
Simplify:
-6x + 6x + 8 = 8
8 = 8
We obtained a true statement (8 = 8), which means the two equations are equivalent. This solution shows that the system has infinitely many solutions.
Therefore, the correct answer is option c) infinitely many solutions..
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imaging that you are comparing the differences in wingspan between male and female bats. what does it mean to have statistical significance? what statistical analysis would you use?
Answers
Statistical significance quantifies whether a result could have come about by chance or if it was caused by the relevant variable.
Define statistics.As opposed to methods for gathering statistical data, mathematical statistics is the application of probability theory, a subfield of mathematics, to statistics. The study of data gathering, analysis, interpretation, presentation, and organization is known as statistics. In other words, gathering and summarizing data is a mathematical discipline. Additionally, statistics might be considered a subfield of applied mathematics.
Given,
Comparing the differences in wingspan between male and female bats.
Statistical significance quantifies whether a result could have come about by chance or if it was caused by the relevant variable.
Given that the outcomes are grouped into a single categorical variable, it is possible to apply confidence intervals in this situation.
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The volume of a small packing box is "3x2 + 3x" in3 smaller than a large packing box with a volume of "5x2 − 2x + 10" in3. Find a single expression that represents the size of a small packing box.
Answers
Answer:
The volume of the small packing box is (2x^2 -5x + 10) inches^3
Step-by-step explanation:
Here, we want to find an expression that represents the size of a small packing box.
We are told that the small packing box is a certain volume smaller than a large packing box and we are given the volume of the large packing box.
Thus, the number of inches with which it is smaller will be the volume of the large box minus the volume of the small box.
So to get the volume of the small
box, we will need to subtract the amount by which it is smaller from the volume of the large box.
Mathematically, that would be;
(5x^2 -2x + 10) - (3x^2 + 3x)
= 5x^2 -2x + 10 - 3x^2 - 3x
= 5x^2 -3x^2 -2x -3x + 10
= 2x^2 -5x + 10
Write as a product
1-25x^2+10xy-y^2
Please help with explanation
Will award brainliest.
Answers
Answer:
(-5x +y +1)(5x -y +1)
Step-by-step explanation:
You want the factored form of 1-25x²+10xy-y².
Perfect square trinomialWe recognize the last three terms as those of a perfect square trinomial:
25x² -10xy +y² = (5x -y)²
Difference of squaresUsing this form for the last three terms, we see the given expression is the difference of squares. It can be factored as such.
1 -(5x -y)² = (1 -(5x -y)(1 +5x -y)
= (-5x +y +1)(5x -y +1)
__
Additional comment
The forms we used here are ...
(a -b)² = a² -2ab +b²
a² -b² = (a -b)(a +b)
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A cylinder and it’s dimensions are diameter 8.4cm and height 10.9cm. Which measurement is closest to the lateral surface area of the cylinder in square centimeters
Answers
Answer:
287.64
Step-by-step explanation:
2πrh is the formula you use for the lateral surface area.
to get radius, we know its half of the diameter so 4.2.
plug them in and you get your answer :)