Solomon needs to justify the formula for the arc length of a sector. Which expression best completes this argument?The circumference of a circle is given by the formula , where d is the diameter.Because the diameter is twice the radius, .If equally sized central angles, each with a measure of , are drawn, the number of sectors that are formed will be equal to _____.The arc length of each sector is the circumference divided by the number of sectors, or .Therefore, the arc length of a sector of a circle with a central angle of is given by or ... help please

Answer:

227.5

Step-by-step explanation:

D=ST so X= 65 x 3.5 = 227.5 miles

D=Distance = x

S=Speed = 65

T=Time = 3.5

Answer:

  Decrease the quantity of the input

Step-by-step explanation:

The general assumption is that productivity is a curve that is concave downward, Hence marginal product is decreasing until it reaches zero. The way to increase it is to reduce the input quantity to a value below the point where the curve reaches zero marginal product.

Answer:

e) Nothing, as more workers decreases total product.

Step-by-step explanation:

I got it right on the test.

Answer:

Step-by-step explanation:

b

Answer:

I think it's 4x4 - 7xy3- 3x3v/2 +8x2y2

Step-by-step explanation:

Answer:

36/25

Step-by-step explanation:

((7*3*2)/7*5)^2 * ((7^0)/(5^-3))^3 * 5^-9

(42/35)^2 * (1/5^-9) * 5^-9

36/25 * 5^9 * 5^-9

36/25 * 5^(9-9)

36/25 * 1

Answer:

35/25

Step-by-step explanation:

i hope this helps

Answer:

The first relation is not a function.

Step-by-step explanation:

If you see two points in which one is vertically above the other, then it is not a function. In other words, if in a relation, two points have the same x-coordinate and different y-coordinates, that relation is not a function. The only example in which this happens is the first graph.

The first relation is not a function.

Answer:

The difference of z and y must be 2x.

The statement that will be correct is, the difference of z and y must be 2x, the correct option is C.

According to Angle of Intersecting Secants Theorem, If two chords extended as secants intersect outside a circle , then the measure of the angle formed by the secants is half the difference of the measures of the intercepted arcs .

The measure of the intercepted arc is z and y

and the measure of the angle formed is x

According to the theorem, the measure of x = ( z-y) /2

The missing image is attached with the answer.

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Answer:

[tex]\boxed{\sf -2n+20}[/tex]

Step-by-step explanation:

Let’s find the common difference.

The common difference can be found by subtracting a term in the sequence with the previous term.

[tex]\sf d=16-18\\d=-2[/tex]

Apply formula for the [tex]\sf n^{th}[/tex] term of an arithmetic sequence.

[tex]\sf a_n=a_1+dn-d[/tex]

[tex]\sf a_1[/tex] is the first term of the sequence.

[tex]\sf d[/tex] is the common difference.

[tex]\sf a_n=18+-2n-(-2)[/tex]

[tex]\sf a_n=18+-2n+2[/tex]

[tex]\sf a_n=-2n+20[/tex]

Answer:

10

Step-by-step explanation:

There are 20 cubes total.

2 of the twenty are green.

2/20=10%

10% of 100 is 10

Answer:

Step-by-step explanation:

So, In all there are 20 cubes, And If they are making 100 pulls then it could be put into a percent. So 10 would be 50%, 2 would be 5%, and 8 would be 45%, so it would be pulled 5 times. Hope This Helps Dreamer!

Answer:

12.895

Step-by-step explanation:

Standard deviation is a statistic that measures the dispersion of a sample. The sample standard deviation measures the spread of data distribution of the sample. It is usually used to estimate the population standard deviation.

Answer:

I plotted them for you!

The first dot (closest to the left) is 1 1/3 and the one closest to the right is 2 7/9 :)

Step-by-step explanation:

Hope this helped :) good luck!

Answer:

Step-by-step explanation:

          0.3, 0.5, 0.9, 1.1

I added a PowerPoint that I made so that if you didn't understand it you could read off of it.

Answer:

[tex]0.3[/tex]                                                            - written in [tex]2/14/2021[/tex]

Step-by-step explanation:

The answer is [tex]0.3[/tex] because, [tex]\frac{0.9+0.5+0.3+1.1}{4} =\frac{2.8}{4} =0.7[/tex], so [tex]0.7[/tex] is the mean. After having found the mean, we have to subtract [tex]0.7[/tex] from the numbers, or the numbers from [tex]0.7[/tex]:

Data Point    |   Distance from the mean

[tex]0.9[/tex]                  |    [tex]0.9-0.7=0.2[/tex]

[tex]0.5[/tex]                  |    [tex]0.7-0.5=0.2[/tex]

[tex]0.3[/tex]                  |    [tex]0.7-0.3=0.4[/tex]

[tex]1.1[/tex]                  |     [tex]1.1-0.7=0.4[/tex]

After finding out the Distance from the mean we'll use their sums and add them all up: [tex]0.2+0.2+0.4+0.4[/tex], then divide them by [tex]4[/tex] because there are [tex]4[/tex] numbers combined together: [tex]\frac{0.2+0.2+0.4+0.4}{4}=\frac{1.2}{4}=0.3[/tex].

So that's why the answer is [tex]0.3[/tex] (Happy Valentines Day!)

Answer:

the last graph

Step-by-step explanation:

the y intercept is clearly shown as three and then using rise over run you can see that the slope is 2/3 or 0.667

Answer:

y is 3.6

Step-by-step explanation:

The information given are

Parallel lines crossing two converging lines with proportion 3 and 5 on one and 6 and y on the other

To find y, we have that two or more parallel lines cut by two transversal proportionately cut the transversal lines;

Therefore we have from the measured segment of the two lines;

[tex]\dfrac{3}{5} = \dfrac{y}{6}[/tex]

Which gives;

3 × 6 = 5 × y

y = 3 × 6/5 = 18/5

y = 18/5 = [tex]3\frac{3}{5}[/tex] , which is equal to 3.6.

Answer:

It's totally false to say that the student has special needs or it's totally false to say the student doesn't belong in the classroom.

Step-by-step explanation:

De Morgan's Laws

Not (A and B) is the same as Not A or Not B

Not (A or B) is the same as Not A and Not B

SO:

It's totally false to say that the student has special needs or it's totally false to say the student doesn't belong in the classroom.

Answer:

1/3

Step-by-step explanation:

There are 9 possible outcomes

We want the ones that have the same color which are GG , YY or BB

P ( same color) = number of same color outcomes / total outcomes

                          = 3/9

                          =1/3

Answer:

1/3

Step-by-step explanation:

3/9, simplify to 1/3

Answer:

y = |x - 1|

Step-by-step explanation:

This graph is the standard graph of y = |x|, shifted 1 unit right. To shift 1 unit right, we have to replace x by x - 1. This works because it replaces f(1) with f(0), f(2) with f(1), etc., shifting the entire graph right.

Answer:

step 1

12! =479001600

step2

10!=3628800

step 3

479001600-3628800=

475372800

Answer:

d

Step-by-step explanation:

2/5÷ 1/10 = [tex]\frac{2}{5}*\frac{10}{1}[/tex]

               = 2 * 2

               = 4

Answer:

b

Step-by-step explanation:

LCD of (5, 10): 10

2/5=4/10(multiply top and bottom by 2)

(4/10)/(1/10)= 4

Therefore, 1/10 is 1/4th of 2/5

Mean absolute deviation of the given data is 1.5

The average absolute deviation of a data set is the average of the absolute deviations from a central point.

The arithmetic mean, also known as arithmetic average, is a measure of central tendency of a finite set of numbers

From the given bar chart

Mean = Sum of the terms / Number of terms

Mean = [tex]\frac{4+5+6+1}{4}=4[/tex]

Mean absolute deviation = [tex]\frac{1}{n}[/tex]∑ | mean- x|

MAD = [tex]\frac{|4-4|+|4-5|+|4-6|+|4-1|}{4} =\frac{0+1+2+3}{4}=1.5[/tex]

Hence, Mean absolute deviation of the given data is 1.5

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Answer:

1.5

Step-by-step explanation:

Answer:

V = 32 in^3

Step-by-step explanation:

The area of the triangle is (1/2)(base)(height), which here comes to:

                                                (1/2)(4 in)(8 in) = 16 in^2.

The volume is (16 in^2)(height) =  (16 in^2)(2 in) = 32 in^3

Answer:

The length of AB is 6

Step-by-step explanation:

Graph the question out.

Count from A to B

=============================================

Work Shown:

a = 3 is the first term

r = 2 is the common ratio

Sn = a*(1-r^n)/(1-r) ... sum of the first n terms

S8 = 3*(1-2^8)/(1-2) ... sum of the first 8 terms

S8 = 3*(-255)/(-1)

S8 = 765

----------

We can generate the first 8 terms to get 3, 6, 12, 24, 48, 96, 192, 384. Each new term is found by multiplying the previous one by 2.

Then add them up to get 3+6+12+24+48+96+192+384 = 765. We get the same result.

Answer: Answer: 765

Work Shown:

a = 3 is the first term

r = 2 is the common ratio

Sn = a*(1-r^n)/(1-r) ... sum of the first n terms

S8 = 3*(1-2^8)/(1-2) ... sum of the first 8 terms

S8 = 3*(-255)/(-1)

S8 = 765

Answer:

C. 172.5 ft²

Step-by-step explanation:

area of triangular roof piece is 1/2(10)(6.9) = 34.5

there are 5 of them so 34.5 x 5 = 172.5 ft²

Answer:

D

Step-by-step explanation:

The first student is from a class of 12.

The first student = 9/12 for the fist male.

The second male is 8 out of 11.

The probability of both being males is

9/12 * 8/11 = 3/4 * 8/11 = 6/11

Answer:

X=149-57+23

Step-by-step explanation:

X=149-57+23

Answer:

distance = 149 -57 +23

(-) is backward

(+) is forward

Let’s see if I can help you :)!

With two points you can define a line.

So, the line parallel to s is q, which has these two pointS: (3,6) and (6,3)

There are different ways to get the line. For instance, this one:

Y = a*x+b

a = slope = difference_y/difference_x = (3-6)/(6-3) = -1,

y = -x + b,

Now use any point, say (3,6) to get b:

6 = -3+b-> b - 9.

Line is y = -x + 9,

It checks out in the other point: (6,3) —> 3 = -6+9 = 3. Good.

Other method:

y-y2 = a*(x-x2), where (x2,y2) is one of the two points and a is the slope as defined before.

Really hope this helped you!

Answer:

The answer is B

Step-by-step explanation:

Answer:

31t 2,446 lb 2oz

Step-by-step explanation:

24t+7t=31t

1,507+938=2,445 lb

12 oz+6 oz=18 oz = 1 lb + 2oz (16 oz in a pound)

31t+2,445 lb+1 lb + 2oz=

31t 2,446 lb 2oz

Answer:

£398

Step-by-step explanation:

€530 = £0.75

530 x 0.75 = £397.50

You round this of to the nearest whole number:

£398

Answer:

graph b and d

Step-by-step explanation:

because they pass the vertical line test.