What is the length of the missing side? What is the area of the figure?
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Answer:

Part A) The approximate perimeter of the concrete region is [tex]P=64.66\ yd[/tex]

Par B) The exact area of the concrete region is [tex]A=(8\pi+162.4)\ yd^{2}[/tex]

Step-by-step explanation:

Part A) What is the approximate perimeter of the concrete region?

we know that

The perimeter of the composite figure is equal to

[tex]P=\pi r+2(15.2)+ 11.5+10.2[/tex]

The radius of semicircle is

[tex]r=8/2=4\ yd[/tex]

substitute

[tex]P=(3.14)(4)+2(15.2)+ 11.5+10.2=64.66\ yd[/tex]

Part B) What is the exact area of the concrete region?

we know that

The area of the composite figure is equal to the area of semicircle plus the area of rectangle plus the area of triangle

so

[tex]A=\frac{1}{2} \pi r^{2} +(15.2)(8)+\frac{1}{2}(10.2)(8)[/tex]

The radius of semicircle is

[tex]r=8/2=4\ yd[/tex]

[tex]A=\frac{1}{2} \pi (4)^{2} +(15.2)(8)+\frac{1}{2}(10.2)(8)[/tex]

[tex]A=8\pi+121.6+40.8[/tex]

[tex]A=(8\pi+162.4)\ yd^{2}[/tex]

Answer:

Part A)

Part B)

Explanation:

1) The earnings are calculated multiplying the number of hours by the hourly rate.

2) The hourly rate of both Peter and Cindy is the same: $ 4.50 / hour

3) Let the variable used for computing the number of hours be h.

4) The number of hours Peter works every day is 3 hours, so, using the letter P to name Peter's earnings, the expression to calculate his earnings is:

5) Similarly, the expression to calculate Cindy's earnings would be:

Answering part A)

You have to write an inequality to compare Peter's and Cindy's earnings:

This is, the earnings of Peter are greater than the earnings of Cindy.

Part B),

You have to write an inequality to calculate Cindy's per-hour income so that she earns at least $ 14 a day.

Given: 2r ≥ 14

Divide both sides by 2: r ≥ 14 / 2

Simplify: r ≥ 7

That means that Cindy's per-hour income should be at least $7 and hour so that she earns $14 a day.

[tex]\displaystyle\\\sum_{n=1}^7(4n+2)[/tex]

Answer:

Each child in Maria's party got 6 crayons more that each child in Dante's party

Explanation:

1- In Dante's party:

192 crayons are equally split among 16 children

This means that:

Each child got [tex]\frac{192}{16} = 12[/tex] crayons

2- In Maria's party:

234 crayons are equally split among 13 children

This means that:

Each child got [tex]\frac{234}{13}=18[/tex] crayons

3- getting the difference:

Difference = 18 - 12 = 6 crayons

This means that:

Each child in Maria's party got 6 crayons more that each child in Dante's party

Hope this helps :)

[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\bf \cfrac{-20t^5u^2v^3}{48t^7u^4v}\implies \cfrac{-20}{48}\cdot \cfrac{t^5u^2v^3}{t^7u^4v^1}\implies \cfrac{-5}{12}\cdot \cfrac{v^3v^{-1}}{t^7t^{-5}u^4u^{-2}}\implies \cfrac{-5}{12}\cdot \cfrac{v^{3-1}}{t^{7-5}u^{4-2}} \\\\\\ \cfrac{-5}{12}\cdot \cfrac{v^2}{t^2u^2}\implies \cfrac{-5v^2}{12t^2 u^2}[/tex]

Step-by-step explanation:

5 gallons 3 quarts +4 gallons 2 quarts

5.3

+

4.2

=9.5 gallons

Answer: 10 gallons and 1 quart.

Explanation: 5 gallons + 4 gallons = 9 gallons. 3 quarts + 2 quarts = 5 quarts, and 4 quarts make a gallon. So, 10 gallons and 1 quart.

Answer:

[tex]\text{A.}\quad\dfrac{xz}{2}[/tex]

Step-by-step explanation:

[tex]\dfrac{x^2yz}{y^2}\times\dfrac{y}{2x}=\dfrac{x^2yzy}{2xy^2}=\dfrac{1}{2}\cdot\dfrac{x^2}{x}\cdot\dfrac{y^2}{y^2}\cdot\dfrac{z}{1}\\\\=\dfrac{xz}{2}[/tex]

The angle of intersecting chords is found by adding the two arcs intercepted by the angle and dividing that by 2.

PRQ = (102 + 70) / 2

PRQ = 172 /2

PRQ = 86 degrees.

When two chords cross within a circle, the angle created is one-half the total of the arcs intercepted by the angle and its vertical angle. The measure of ∠PRQ is 86°.

When two chords cross within a circle, the angle created is one-half the total of the arcs intercepted by the angle and its vertical angle.

The measure of ∠PRQ is,

∠PRQ = (102°+70°)/2

∠PRQ = 172° / 2

∠PRQ = 86°

Hence, the measure of ∠PRQ is 86°.

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Answer:

A^2+B^2=C^2

Step-by-step explanation:

(A)^2+(B)^2+(A)+(B)+2Cos(a)=C^2

Answer:

with a ruler?

Answer:

5< 23

Step-by-step explanation:

we know that

A mathematical expression of five is 5

A mathematical expression of less is <

A mathematical expression of twenty-three is 23

therefore

"Five is less than twenty-three"  is equal to

5< 23

Answer:

5<23

Step-by-step explanation:

Here are some common facts:

* Mathematical expression of five is 5

* Mathematical expression of less is <

* Mathematical expression of twenty-three is 23

Based on the facts given above, we can conclude that:

"Five is less than twenty-three"  is equal to

5< 23

Tags: mathematical expression, mathematical expression case study, translation of expressions

For this case we have that by definition the distributive property establishes:

[tex](a + b) (c + d) = ac + ad + bc + bd[/tex]

We have the following expression:

[tex](y ^ 2 + y) (x ^ 4 + 3x ^ 3-2x ^ 3) =[/tex]

Applying the distributive property we have:

[tex]y ^ 2 (x ^ 4 + 3x ^ 3-2x ^ 3) + y (x ^ 4 + 3x ^ 3-2x ^ 3)[/tex]

So, the given example is an example of distributive property.

ANswer:

Option B

Answer:

y = (3/4)x

Step-by-step explanation:

1)  Find the slope of the line.  As we go from ( -8,-6) to (12,9), x increases by 20 and y increases by 15.  Thus, the slope, m, is m = rise / run = 15/20 = 3/4

2) Recognize that the y-intercept is zero (0) because this is direct variation; the line goes thru the origin.

3) write the equation of the line:  y = mx + b becomes y = (3/4)x

[tex]\bf (\stackrel{x_1}{-8}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{12}~,~\stackrel{y_2}{9}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{9-(-6)}{12-(-8)}\implies \cfrac{9+6}{12+8}\implies \cfrac{15}{20}\implies \cfrac{3}{4}[/tex]

[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-6)=\cfrac{3}{4}[x-(-8)]\implies y+6=\cfrac{3}{4}(x+8) \\\\\\ y+6=\cfrac{3}{4}x+6\implies y=\cfrac{3}{4}x[/tex]

Answer:

  c)  0.0156

Step-by-step explanation:

The general term a[n] of a geometric sequence is given in terms of the first term a[1] and common ratio r as ...

  a[n] = a[1]r^(n-1)

The given sequence has an initial term of a[1]=8 and a common ratio of 4/8=1/2. Then the general term is ...

  a[n] = 8(1/2)^(n-1)

The 10th term is then ...

  a[10] = 8(1/2)^(10-1) = 8(1/2)^9 = 8/512

  a[10] = 0.015625 ≈ 0.0156

Answer:

  35°

Step-by-step explanation:

The measure of an inscribed angle is half the measure of the subtended arc.

  x = 70°/2 = 35°

Answer:

  d.  None of the above.

Step-by-step explanation:

The period is the change in x required to make a change of 2π in the argument to the sine function:

  2x = 2π

  x = π

The frequency is the reciprocal of the period, so is 1/π. There are no matching answer choices.

The frequency of the function y = 3sin(2x) is 2, making the correct answer c. 2.

The frequency of the function y = 3sin(2x) is 2.

To determine the frequency of a sine function, you look at the coefficient in front of the x within the sine function. In this case, the coefficient is 2, so the frequency is 2.

Therefore, the correct answer is c. 2.

Answer:

Option 3. 1,000 times

Step-by-step explanation:

we know that

The value of digit 8 in 82.77 is equal to 80

The value of digit 8 in 20.18 is 0.08

so

Divide 80 by 0.08

80/0.08=1,000 times

The value of the digit 8 in 82.77 is greater than and the value of the digit 8 in 20.18 by 1000.

The value of each digit in 82.77 is:

8 = tens

2 = units

7 = tenth

7 = hundredth

The value of each digit in 20.18 is:

2 = tens

0 = units

1 = tenth

8 = hundredth

The value of 8 in 82.77 is tens(10) and the value of 8 in 20.18 is hundredth (0.01).

Difference in value = 10 / 0.01 = 1000

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The answer would be:

Let n be "a number"

22 + 4n

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

22+4x

Step-by-step explanation:

The number should be x as a letter symbol.

The sum should be add sign.

22+4x is the correct answer.

I hope this helps you, and have a wonderful day!

Answer:

no

Step-by-step explanation:

This is not a function because the same x value goes to 2 different y values x=1 goes to both -2 and -3.  This would fail the vertical line test

Answer: It is not possible for Janet to have won 10 games.

Step-by-step explanation:

Let be "x" the number of games Janet won.

We know that Nadia has won twice the number of games Janet has and the sum of the games Nadia and Janet have won together is 24.

Then, we express this situation with this equation:

[tex]x+2x=24[/tex]

So, let's check if it is possible for Janet to have won 10 games. Substitute [tex]x=10[/tex] into the expression:

[tex]10+2(10)=24\\\\10+20=24\\\\30=24\ (This\ is\ not\ true)[/tex]

Therefore, it is not possible for Janet to have won 10 games.

Answer:

not possible

Step-by-step explanation:

Let be "x" the number of games Janet won.

We know that Nadia has won twice the number of games Janet has and the sum of the games Nadia and Janet have won together is 24.

Then, we express this situation with this equation:

So, let's check if it is possible for Janet to have won 10 games. Substitute  into the expression:

Therefore, it is not possible for Janet to have won 10 games.

Answer:

  -4r³s -3r² +2rs -5

Step-by-step explanation:

The powers of r in each of the terms from left to right are ...

  3, 1, 0, 2

Arranging these in descending order gives the sequence of terms ...

  -4r³s -3r² +2rs -5

Answer:

G(x)=(1/3x)^2

Step-by-step explanation:

Ap ex

Answer:

  c. 85(.60) + 87(.15) + 68(.10) + X(.15) = 78; X = 47.67

Step-by-step explanation:

The weighted average is the sum of products of score and weight. Choice C has the percentage weights properly expressed as decimal values.

___

The other equations could work if the final score of 78 were weighted by the corresponding equivalent of 100%. (X is wrong in the other choices as well.)

__

The attachment shows the "work". Given that choice C is the only correct equation, we presumed that the value of X was correct. The equation solver confirms this. If you want to do it by hand, compute the sum of products, subtract that sum, then divide by 0.15.

  X = (78 -70.85)/.15 = 7.15/.15 = 47 2/3

Answer:

Use the distance formula:

d = sqrt. ( y2 - y1)^2  + (x2 - x1)^2)

Please mark me brainliest :D Thanks!!

Answer:

7.6 inches to the nearest tenth.

Step-by-step explanation:

18/24 = 3/4.

13.5 / 18 = 3/4.

This is a Geometric sequence with common ratio 3/4 or 0.75.

We need to find the fifth term of the sequence.

5th term = a1 (r)^(5 - 1)

=  24 * (0.75)^(5-1)

= 24 *  0.316406

=  7.6 inches.

The piling will be driven down 9 inches on the 5th stroke following the decreasing pattern of the pile driver.

The sequence of the piling being driven down by the pile driver shows a decreasing pattern. To predict the depth on the 5th stroke, we need to identify the pattern of decrease.

First stroke: 24 inches
Second stroke: 18 inches (24 - 6 = 18)
Third stroke: 13.5 inches (18 - 4.5 = 13.5)
Looking at the pattern, the reduction from the first to the second stroke is 6 inches, and from the second to the third stroke is 4.5 inches.

We can infer that the pattern of decrease is by 1.5 inches each time (6 - 4.5 = 1.5). So:

Fourth stroke decrease: 4.5 - 1.5 = 3 inches
Third stroke depth: 13.5 inches
Fourth stroke depth: 13.5 - 3 = 10.5 inches

Fifth stroke decrease: 3 - 1.5 = 1.5 inches
Fourth stroke depth: 10.5 inches
Fifth stroke depth: 10.5 - 1.5 = 9 inches

Answer:

The value of x = 4.1 cm

Step-by-step explanation:

From the figure we can see a circle, with chord 15.6 cm

A right angled triangle with hypotenuse 8.8 cm

To find the value of x

By using Pythagorean theorem,

Base² + Height² = Hypotenuse²

Here Base  = x, Height = 15.6/2 = 7.8 cm and Hypotenuse = 8.8 cm

x² + 7.8² = 8.8²

x² = 8.8² - 7.8²

 = 77.4 - 60.84

 = 16.56

x = √16.56 = 4.07 ≈ 4.1 cm

Therefore the value of x = 4.1 cm

[tex]

6n-7=11 \\

6n=18 \\

n=\boxed{3}

[/tex]

The answer is a.

Hope this helps.

r3t40

Answer:

1/9

Step-by-step explanation:

There are a total of 21 marbles.  In the first draw, there are 7 blue marbles out of 21.  In the second draw, since he replaces the marble, there are still 7 blue marbles out of 21.  So the probability is:

P = (7/21)²

P = 1/9

Answer:

[tex]y=-\frac{4}{3}x+\frac{5}{3}[/tex]

[tex]4x+3y=5[/tex]

Step-by-step explanation:

we have

[tex]y-11=-\frac{4}{3}(x+7)[/tex] -----> equation of the line into point slope form

step 1

Find the equation of the line into slope intercept form

[tex]y=mx+b[/tex]

where

m is the slope

b is the y-intercept (value of y when the value of x is equal to zero)

For x=0

[tex]y-11=-\frac{4}{3}(0+7)[/tex]

[tex]y=-\frac{28}{3}+11[/tex]

[tex]y=\frac{5}{3}[/tex]

therefore

[tex]b=\frac{5}{3}[/tex]

substitute

[tex]y=-\frac{4}{3}x+\frac{5}{3}[/tex]  ----> equation of the line into slope intercept form

step 2

Find the equation of the line in standard form

[tex]Ax+By=C[/tex]

we have

[tex]y=-\frac{4}{3}x+\frac{5}{3}[/tex]

Multiply by 3 both sides

[tex]3y=-4x+5[/tex]

[tex]4x+3y=5[/tex] ---> equation of the line in standard form

Without the equation for k(x), we can't definitively determine the formula for h(x). However, if we knew k(x), we'd divide it by g(x) (-3x in this case) to find h(x). For instance, if k(x) is 6x, h(x) will be -2.

To find the formula for h, we need to divide k(x) by g(x). The formula for the function k should be given in addition to the graph in order for us to solve this. Assuming that g(x) is indeed -3x, we would divide the formula for k(x) by -3x to find h(x). However, without the expression for k(x), we can't definitively select an option for h(x) from your list.

If k(x) was 6x, and g(x) was -3x, h(x) would be -2. You would find this by dividing k(x), which is 6x, by g(x), which is -3x; resulting in -2. So, for this example, option B would be correct.

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