Find the measure of a central angle that intercepts an arc of 3 inches in a circle whose radius is 8 inches.

0.375 rad
1.05 rad
2.3 rad

All angles are the same and all side lengths are equal/congruent

Congruent triangles are triangles that have the same size and shape, with corresponding sides and angles that are equal. They can be proven congruent using criteria such as SSS, SAS, and ASA.

**Congruent triangles** are triangles that have the same size and shape. In other words, all corresponding sides and angles of congruent triangles are equal. There are several ways to prove that triangles are congruent, such as the Side-Side-Side (SSS) Criteria, Side-Angle-Side (SAS) Criteria, Angle-Side-Angle (ASA) Criteria, and more. For example, if two triangles have the same length for each corresponding side, they are congruent.

The answers are 0, 2, and 4. The other ones turn out to be greater than 6

Answer:0,2,4

Step-by-step explanation:

EGDE 2023

Center (0,0)

radius - 5

Hope this help

Answer: One

Step-by-step explanation:

If you say the fraction out loud, it it pronounced one third.

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷There are 3 thirds on one third, because if something is one THRID, that means it is one out of three parts. One third of one third is 1/9.

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

TROLLER

Answer:

[tex]\boxed{\bold{-5cd}}[/tex]

Step By Step Explanation:

[ Step One ] Expand [tex]\bold{-d\left(2c-4\right)}[/tex]

[tex]\bold{-2cd+4d}[/tex]

[ Step Two ] Rewrite Equation

[tex]\bold{-3cd-2cd+4d-4d}[/tex]

[ Step Three ] Simplify [tex]\bold{-3cd-2cd+4d-4d}[/tex]

[tex]\bold{-5cd}[/tex]

Answer:

The Answer is -5CD when simplified

Step-by-step explanation:

1) Distributive property

-3cd - d ( 2c - 4 ) - 4d

Turns to:  3cd -2cd + 4d - 4d  Multiplying to negative give you a positive.

2) combine like terms

-3cd - 2cd = -5cd

4d - 4d = 0

3) Answer

-5cd is your answer

Hopes this helps!

Answer:

Last option

y ≤ 1/2 x - 1

Step-by-step explanation:

The graph is linear inequality. Since the graph is a solid line so the inequality symbol is either ≥ or ≤.

The colored grey is shaded below the line, so the symbol is ≤.

So either  y≤1/2x-1 or  y≤2x-1

Now we have to find the slope to see which equation is the right one.

(2,0) and (0,-1)

Slope = (0 + 1) /(2-0) = 1/2 and b = y intercept = -1

So equation:

y ≤ 1/2 x - 1

The correct inequality that represents the graph is y≤2x-1.

In this question, we are asked to determine which inequality best represents the graph. From the given options, the correct choice is b. y≤2x-1. This choice represents a graph where y is less than or equal to 2x minus 1. To verify this, we can examine some points on the graph.

For example, let's test the point (0,0). Substituting these values into the inequality, we get 0 ≤ 2(0) - 1, which simplifies to 0 ≤ -1. Since this statement is true, the point (0,0) lies on the graph. Similarly, we can test other points to confirm that the inequality correctly represents the graph.

https://brainly.com/question/30231190

#SPJ2

➷ (18.2 x 2) + 153.1 = 189.5 (this is considered the highest value)

153.1 - (18.2 x 2) = 116.7 (this is considered the lowest value

An unusual value would be more than 2 standard deviations away from the mean in a positive or negative direction.

In this case, the value is less than the highest value.

The value of 187 would be considered usual as it is less than 2 standard deviations away from the mean.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

The value of 187 from a distribution with a mean of 153.1 and standard deviation of 18.2 can be considered 'usual'. This conclusion is reached by calculating the Z-score and determining that it falls within the usual range of +/-2 standard deviations from the mean.

The question provided is one that tackles the subject of statistics, more specifically, the concepts of mean, standard deviation, and the identification of data as being usual or unusual. The distribution in question has a mean of 153.1 and a standard deviation of 18.2. With a value of 187, we need to determine whether it would be considered usual or unusual.

To answer this, we would utilize the concept of Z-score, which measures how many standard deviations an element is from the mean. A Z-score of +/- 2 or more is generally considered unusual. Let's compute:

Z = (X - μ) / σ

Where:

Substitute these into the Z-score formula:

Z = (187 - 153.1) / 18.2 = 1.86

As the Z score is within the range of +/-2, the value 187 is thus interpreted as usual.

https://brainly.com/question/15016913

#SPJ3

Answer:

9.) A. integers

Step-by-step explanation:

rational numbers can't have negatives

whole numbers can't have fractions

negative numbers can't have positives

---hope this helps!!

1.MAD Calculation: A possible set of data values that yield a mean of 20 and a MAD of 10 is: 10, 20, 20, 20, 30, 40.

2. Five Students' Test Scores: Mean = 85, Median = 85, Range = 10, MAD ≈ 3.33.

3. Survey Data: Students' mean sleep = 7.7 hours; Teachers' mean sleep = 6.7 hours.

let's go through each question step by step:

1. MAD Calculation:

The Mean Absolute Deviation (MAD) is the average of the absolute deviations from the mean of a dataset. Given that the MAD of the set of six data values is 10 and the mean is 20, we need to find the data values that satisfy these conditions.

Let's denote the data values as (x_1, x_2, x_3, x_4, x_5, x_6).

The mean is given as:

[tex]\[ \text{Mean} = \frac{x_1 + x_2 + x_3 + x_4 + x_5 + x_6}{6} = 20 \][/tex]

Multiplying both sides by 6 gives us:

[tex]\[ x_1 + x_2 + x_3 + x_4 + x_5 + x_6 = 120 \][/tex]

Now, we need to find a set of values that satisfy this equation and also have a Mean Absolute Deviation of 10.

The Mean Absolute Deviation (MAD) formula is:

[tex]\[ \text{MAD} = \frac{|x_1 - \text{Mean}| + |x_2 - \text{Mean}| + |x_3 - \text{Mean}| + |x_4 - \text{Mean}| + |x_5 - \text{Mean}| + |x_6 - \text{Mean}|}{6} \][/tex]

Given MAD = 10, and Mean = 20, we have:

[tex]\[ 10 = \frac{|x_1 - 20| + |x_2 - 20| + |x_3 - 20| + |x_4 - 20| + |x_5 - 20| + |x_6 - 20|}{6} \][/tex]

Multiplying both sides by 6, we get:

[tex]\[ 60 = |x_1 - 20| + |x_2 - 20| + |x_3 - 20| + |x_4 - 20| + |x_5 - 20| + |x_6 - 20| \][/tex]

Now, we need to find a set of six values that satisfy both equations.

There are multiple possible sets of values that satisfy these equations. One such set could be:

[tex]\[ x_1 = 10, \ x_2 = 20, \ x_3 = 20, \ x_4 = 20, \ x_5 = 30, \ x_6 = 40 \][/tex]

You can verify that these values satisfy both the mean and the MAD conditions.

2. Five Students' Test Scores:

Given:

- Five students scored 80 on a test,

- Five students scored 85, and

- Five students scored 90.

A. The mean:

[tex]\[ \text{Mean} = \frac{(5 \times 80) + (5 \times 85) + (5 \times 90)}{15} = \frac{400 + 425 + 450}{15} = \frac{1275}{15} = 85 \][/tex]

B. The Median:

Since there are an odd number of data points (15), the median will be the 8th value when the data is arranged in ascending order. Since each score (80, 85, 90) appears 5 times, the median is 85.

C. The Range:

The range is the difference between the highest and lowest values:

[tex]\[ \text{Range} = 90 - 80 = 10 \][/tex]

D. The MAD:

To find the MAD, we first calculate the deviations from the mean for each data point, take their absolute values, and then find their mean.

[tex]\[ \text{MAD} = \frac{|80 - 85| + |80 - 85| + \ldots + |90 - 85|}{15} \][/tex]

[tex]\[ = \frac{5|80 - 85| + 5|85 - 85| + 5|90 - 85|}{15} \][/tex]

[tex]\[ = \frac{5(5) + 5(0) + 5(5)}{15} = \frac{50}{15} \approx 3.33 \][/tex]

3. Survey Data:

Given:

Students: 7, 6, 8, 9, 8, 9, 10, 10, 10

Teachers: 6, 6, 4, 5, 7, 8, 7, 8, 8, 8

A. Mean of students' data set:

[tex]\[ \text{Mean} = \frac{7 + 6 + 8 + 9 + 8 + 9 + 10 + 10 + 10}{10} = \frac{77}{10} = 7.7 \][/tex]

B. Mean of teachers' data set:

[tex]\[ \text{Mean} = \frac{6 + 6 + 4 + 5 + 7 + 8 + 7 + 8 + 8 + 8}{10} = \frac{67}{10} = 6.7 \][/tex]

The means tell us that, on average, students get slightly more sleep per night compared to teachers.

Answer:

Step-by-step explanation:

add a picture of the question please

Solution:- A shopkeeper with a basket of eggs finds that if he sells 3 eggs at a time there is only one egg left if he sells four eggs at a time there is again 1 egg left however if the trader sells 7 is at a time there is no egg left is the capacity of the basket is 108

LCM of 3 and 4 = 3×4 = 12

The capacity of the basket is 100.

So, there may be:-

= 12 × 8 +1

= 96 + 1

= 97 eggs.

But, 97 is not divisible by 7.

Again, there may be:

12 × 7 +1 = 85 eggs.

12 × 6 +1 = 73 eggs.

12 × 5 +1 = 61 eggs.

12 × 4 +1 = 49 eggs.

Among these numbers 85 , 73 and 61 are not divisible by 7. But 49 is divisible by 7.

So, the number of eggs in the basket is 49.

[Answer = 49]

The correct choice is A(-1,3)

See the attached figure

Answer:

200 miles

Step-by-step explanation:

8x25=200

The actual distance will be 200 miles

The question states that

The distance between two cities is 8 inches

Actual distance would be

8 * 25 = 200

So the actual distance would be 200 miles

Answer:

[tex]\large\boxed{0.000008=8\cdot10^{-6}}[/tex]

Step-by-step explanation:

The scientific notation:

[tex]a\cdot10^k[/tex]

where 1 ≤ a < 10 and k ∈ Z.

0.000008

You must move the comma 6 places to the right.

[tex]0\underbrace{.000008}_{6\rightarrow}=8\cdot10^{-6}[/tex]

[tex]0.000008=\dfrac{8}{1,000,000}=8\cdot10^{-6}[/tex]

To express the diameter of a human red blood cell in scientific notation, we can write it as 8.0 × 10^-6 meters.

The diameter of a human red blood cell is approximately 0.000008 meters. To express this number in scientific notation, we can use the concept of significant figures. In this case, the leading zeros are not significant, so we can write the number as 8.0 × 10-6 meters. This scientific notation represents the size of a human red blood cell.

https://brainly.com/question/16936662

#SPJ12

Answer:

16

Step-by-step explanation:

Answer:

[tex](g\circ f)(0)=16[/tex]

Step-by-step explanation:

The given functions are

[tex]f(x)=-3x+4[/tex] and [tex]g(x)=x^2[/tex]

We first find the composition; [tex](g\circ f)(x)[/tex]

[tex](g\circ f)(x)=g(f(x))[/tex]

[tex](g\circ f)(x)=g(-3x+4)[/tex]

[tex](g\circ f)(x)=(-3x+4)^2[/tex]

We now plug in x=0, to obtain;

[tex](g\circ f)(0)=(-3(0)+4)^2[/tex]

[tex](g\circ f)(0)=(4)^2[/tex]

[tex](g\circ f)(0)=16[/tex]

Answer:

3160

Step-by-step explanation:

Answer:

3160

Step-by-step explanation:

Intersection of the first two lines:

[tex]\begin{cases}5x - 2y + 3 = 0\\4x - 3y + 1 = 0\end{cases}[/tex]

Multiply the first equation by 4 and the second by 5:

[tex]\begin{cases}20x - 8y + 12 = 0\\20x - 15y + 5 = 0\end{cases}[/tex]

Subtract the two equations:

[tex](20x - 8y + 12)-(20x - 15y + 5)=0 \iff 7y+7=0 \iff y=-1[/tex]

Plug this value for y in one of the equation, for example the first:

[tex]5x - 2\cdot (-1) + 3 = 0\iff 5x+5=0 \iff x=-1[/tex]

So, the first point of intersection is [tex](-1,-1)[/tex]

We can find the intersection of the other two lines in the same way: we start with

[tex]\begin{cases}x=y\\x=3y+4\end{cases}[/tex]

Use the fact that x and y are the same to rewrite the second equation as

[tex]x=3x+4 \iff 2x=-4 \iff x=-2[/tex]

And since x and y are the same, the second point is [tex](-2, -2)[/tex]

So, we're looking for a line passing through [tex](-1,-1)[/tex] and [tex](-2, -2)[/tex]. We may use the formula to find the equation of a line knowing two of its points, but in this case it is very clear that both points have the same coordinates, so the line must be [tex]y=x[/tex]

In the attached figure, line [tex]5x - 2y + 3 = 0[/tex] is light green, line [tex]4x - 3y + 1 = 0[/tex] is dark green, and their intersection is point A.

Simiarly, line [tex]x=y[/tex] is red, line [tex]x = 3y + 4[/tex] is orange, and their intersection is B.

As you can see, the line connecting A and B is the red line itself.

To answer the student’s question, solve for points of intersection of given pairs of equations, use these points to calculate the slope, and then apply the point-slope or two-point form to determine the equation of the line.

To find the equation of a line that passes through the points of intersection of two sets of equations, we first need to determine the coordinates of these intersection points. We have two given sets of equations: 5x - 2y + 3 = 0 and 4x - 3y + 1 = 0, as well as x = y and x = 3y + 4. To solve for the intersection points, we can use substitution or elimination method for the pairs of equations separately.

Once we have found the two points of intersection, we use these points to determine the slope of the line (using the slope formula ∆y /∆x). After that, we apply the point-slope form or the two-point form of the equation of a line to find the equation that contains both points. The final step would be to simplify the equation to its standard form.

However, the question seems to include extraneous information, as the equation provided for a specific line, y = 9 + 3x, does not directly pertain to the given task of determining the equation of the line through the points of intersection. It does illustrate that a line's equation can be represented in the form y = mx + b, where m represents the slope, and b represents the y-intercept.

https://brainly.com/question/21511618

#SPJ2

Answer:

1/2

Step-by-step explanation:

3 * 1/6 = 3/6

Which can simplify to 1/2 if you divide the top and bottom by 2.

The product 3x1/6 simplifies to 1/2.

To simplify the product 3x1/6, we need to perform the multiplication and express the result in its simplest form.

First, let's calculate the product:

3 x 1/6 = 3/1 x 1/6 = 3/6

Now, we can simplify the fraction 3/6 by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 3 in this case:

3/6 ÷ 3/3

The divided by six by three by three

= (3 ÷ 3) / (6 ÷ 3)

=3/3×3/6

= 1/2

Therefore, the product 3x1/6 simplifies to 1/2.

To learn more on Product click:

https://brainly.com/question/11527721

#SPJ6

Answer:

Answer: part a is 4.8 and part b is 3.125

Step-by-step explanation:

PART A.  60/25 = 2.4 (inches)

PART B.  25/4 = 6.26 (miles)

Hope this helps! Please mark me as brainliest if it did.

795

first u multiple the 15 with 8 & 45 then u add

I believe that the answer is $175

Answer:

$112

Step-by-step explanation:

140 divided by 5 is 28, which means 1/5 of 140 is 28. You take that 28 times 4 to get 4/5 of 140 which comes out to be 112. Brainliest please!

Answer: D.

Step-by-step explanation: it’s D because when you do the volume of mode A, you get 48 units. When you do the volume of model B you get 40 units. Use the formula V=length x width x height!

Answer:

5.5%

Step-by-step explanation:

100%-20%=80%

80%×$75=$60

3.30/60×100%=5.5%

the sales tax rate is 5.5%

Final answer:

The sales tax rate on Sunil's discounted concert ticket is found by calculating the discounted ticket price and then dividing the sales tax paid by this discounted price, resulting in a sales tax rate of 5.5%.

Explanation:

To find the sales tax rate, we need to calculate the discounted price of the concert ticket and then use the amount of sales tax paid to determine the rate. Initially, Sunil receives a 20% discount on a $75 ticket.

The calculation for the discount amount is $75 × 0.20 = $15. Thus, Sunil's discounted ticket price is $75 - $15 = $60.

Now, knowing Sunil paid $3.30 in sales tax for the discounted ticket, we can find the sales tax rate by dividing the sales tax amount by the discounted ticket price:

$3.30 ÷ $60 = 0.055, or 5.5% when converted to a percentage. Therefore, the sales tax rate is 5.5%.

Answer:

Alternative C is correct;

Yes, there is evidence at the 5% significance level

Step-by-step explanation:

To determine whether a linear relationship does exist between shoe size and height, we shall simply be testing the null hypothesis;

β=0

against the alternative;

β≠0

From the output, the p-value of the coefficient of height is given as 0.042 or equivalently 4.2%

Since the p-value, 4.2% is less than 5% level of significance we reject the null hypothesis that claims no linear relationship exists between the shoe size and height.

Answer:

Step-by-step explanation:

sistemul digestiv

Answer x^-5

Step-by-step explanation: since (- 5/6)*6=-5

The answer is x^-5

Hello, thanks for using Brainly!

We are solving 6x6-4+9.

We will do three steps in this case.

First is 6x6, 6x6 is 30.

So now we must keep in our head we have 30 as our first number.

Now, let's -4 from 30. 30-4 is 26.

We just did step 2. Boom!

So, we have 26 as our second number. Let's do our third step.

If we have 26, we need to add 9 to that. To quickly find that we know that 26+10 is 36. That is adding ten, we need 9 so minus 1 from 36 we get 35.

Our final answer is 35.

To find the diameter of a cone with a given volume and height, use the volume formula, substitute the given values, and solve for the radius. The calculated diameter of this cone is approximately 4.90 meters.

To find the diameter of a cone given its volume and height, we can use the formula for the volume of a cone: V = (1/3)πr²h, where V is the volume, r is the radius of the base, and h is the height of the cone. Given that the volume (V) is 20π cubic meters and the height (h) is 10 meters, we can substitute these values into the formula and solve for r.

First, rearrange the formula to solve for r: r = √((3V)/(π×h)). Substitute V = 20π and h = 10 into the equation to get r = √((3×20π)/(π×10)) = √(6) meters. Therefore, the diameter of the cone, which is twice the radius, is 2×√(6) meters, or approximately 4.90 meters.

The diameter of the cone is  [tex]\[ d = 4\sqrt{3} \][/tex]

To find the diameter of the cone, we first need to determine the radius of the cone's base. The volume V of a cone can be calculated using the formula:

[tex]\[ V = \frac{1}{3} \pi r^2 h \][/tex]

where r is the radius of the base and h is the height of the cone. Given that the volume V is [tex]\(20\pi\)[/tex] cubic meters and the height  [tex]\(h\) is \(10\)[/tex] meters, we can set up the equation:

[tex]\[ 20\pi = \frac{1}{3} \pi r^2 \cdot 10 \][/tex]

[tex]\[ 60 = r^2 \cdot 10 \] \[ \frac{60}{10} = r^2 \] \[ r^2 = 6 \][/tex]

Taking the square root of both sides gives us the radius r:

[tex]\[ r = \sqrt{6} \][/tex]

Since the radius is half the diameter, we can find the diameter d by multiplying the radius by 2:

[tex]\[ d = 2r \] \[ d = 2\sqrt{6} \] \[ \sqrt{6} = \sqrt{2 \cdot 3} \] \[ \sqrt{6} = \sqrt{2} \cdot \sqrt{3} \] \[ \sqrt{6} = \sqrt{2} \cdot \sqrt{3} = 2\sqrt{3} \][/tex]

Thus, the diameter d of the cone is:

[tex]\[ d = 2 \cdot 2\sqrt{3} \][/tex]

[tex]\[ d = 4\sqrt{3} \][/tex]

The correct equation is . n + 45.60 - 15.75. Option C is correct.

Let n represent William's balance before writing the check (unknown).

He wrote a check for $45.60, so this amount needs to be subtracted from his original balance.

After writing the check, his balance became -$15.75. Since a negative balance indicates he owes money, we can represent this with -15.75.

To find his original balance (n), we need to add the amount he subtracted (check amount) and then consider the ending balance.

Therefore, the equation that accurately represents the situation is:

n (original balance) + $45.60 (check amount) - $15.75 (ending balance) = n + 45.60 - 15.75

complete question:

On Wednesday, William wrote a check in the amount of $45.60. This brought his balance down to -$15.75. Suppose n represents William's balance before he wrote the check.

Which equation can be used to represent this situation?

A. n-15.75-45.60

B. п-15.7545.60

C. n+45.60 -15.75

D. n-45.60-15.75

Answer: 368 ft^2

Step-by-step explanation:

Pretend it is a square and multiply both sides (23*20=460). The triangle that is cut out has an area of 92 (23*8/2). We know the height of the triangle is 8 because 20-12. We subtract 460-92 and get our answer. :)

to the risk of sounding redundant, as the previous posting is absolutely correct.

Check the picture below.

we know the circum-inscribing figure is a square, namely a 23x20, so it has an area of 23*20 = 460 ft².

the distance from the bottom up, is 20, however to the tip of the triangle is 12, so the diffference is 20 - 12 = 8, meaning the triangle, in yellow, has a height/altitude of 8 ft, and we know its base is 23 ft.

so if we simply take the whole area of the square, and then subtract the area of the triangle, we're in effect making a whole in the squarish area, and what's leftover is the shaded area.

[tex]\bf \stackrel{\textit{square's area}}{(23\cdot 20)}~~~~-~~~~\stackrel{\textit{triangle's area}}{\cfrac{1}{2}(23)(8)}\implies 460~~-~~92\implies 368~ft^2[/tex]