Rewrite as equivalent rational expressions with denominator (c- 9) (c+9)(c + 6):

We want to find the perimeter of the given figure. We will find that the perimeter of the figure is 35.7 units.

Remember that for a circle of diameter D, the perimeter or circumference is:

p = pi*D

where pi = 3.14

So we have a half-circle and an equilateral triangle, and we know that the equilateral triangle sides measure 10 units each.

Notice that the diameter of the half-circle is equal to the side length of the triangle, then the diameter is D = 10

Then the length of the arc of the half-circle is just given as half the circumference of a circle with a diameter of 10 units, this is:

C = (1/2)*3.14*10 = 15.7

And to this we must add the two sides of the triangle that belong to the perimeter, remember that each one measures 10 units, then the total perimeter is:

Perimeter = 15.7 + 10 + 10 = 35.7

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Answer:

the correct answer is A.1

the result is explained below in the photo

Answer:

y = 1

Step-by-step explanation:

2x + y = 7

x = 3

plug in 3 for x

2(3) + y = 7

Multiply 2 * 3

6 + y = 7

Therefor y = 1

Answer:

  4 m

Step-by-step explanation:

The area of a circle is given in terms of diameter by ...

  A = (π/4)d²

Then the diameter in terms of area is ...

  d = √(4A/π)

For the given area, the diameter is ...

  d = √(4·4π/π) = 4 . . . meters

The diameter of the circle is 4 meters.

Answer:

Y=7x+3

Step-by-step explanation:

[tex]\begin{array}{ccll} \stackrel{cm}{map}&\stackrel{mi}{actual}\\ \cline{1-2} 2&100\\ 5.4&x \end{array}\implies \cfrac{2}{5.2}=\cfrac{100}{x}\implies 2x = 520\implies x = \cfrac{520}{2}\implies x = 260[/tex]

Step-by-step explanation:

7 √(1/3) - 2 1/3 √(1/3) +3√147

→7(1/√3) - (7/3)(1/√3) +3√(3×7×7)

→ (7/√3) - (7/3√3) +3×7√3

→ (7/√3) - (7/3√3) + 21√3

On Rationalising the denominators then

→ [ 7√3/(√3×√3)]-[7√3/(3×√3×√3) +21√3

The Rationalising factor of√3 =√3

→ (7√3/3)-[7√3/(3×3)]+21√3

→ (7√3/3)-(7√3/9)+21√3

LCM of 3 and 9 = 9

→ [(3×7√3)-(7√3)+(9×21√3)]/9

→ (21√3-7√3+189√3)/9

→[(21-7+189)√3]/9

→ [(210-7)√3]/9

→ 203√3/9 Ans.

Hope this helps.

Answer:

2 fruits

Step-by-step explanation:

That's because bananas and pears are two different fruits

Answer:

1  7/20 pounds

Step-by-step explanation:

3/4 + 3/5

Use common denominator of 20

15/20 + 12/20

Add numerators

27/20

Reduce

1  7/20 pounds

[tex] \times 2 \: y \: - 2xy = \times 4 + 3 = \times - \frac{3}{4} \: y \: e \: r[/tex]

Answer:

10

Step-by-step explanation:

There are two 1/8 in one 1/4. There are eight 1/8 in 1. 8/8 + 1/8 + 1/8 = ten 1/8.

The recursive equation for f(n) will be f(n) = 4242.42(1.65)ⁿ - 1300n.

Let Consider the function:

y = a (1 ± r) ˣ

Where x is the number of times this growth/decay occurs,

a = initial amount, and r = fraction which this growth/decay occurs.

Lionfish are considered an invasive species, with an annual growth rate of 65%.

Then the equation will be

f(n) = P(1.65)ⁿ

P = initial population

A scientist estimates there are 7,000 lionfish in a certain bay after the first year.

7000 = P(1.65)

P = 4242.42

Then the equation will be,

f(n) = 4242.42(1.65)ⁿ

If scientists remove 1,300 fish per year from the bay after the first year.

Then the recursive equation for f(n) will be,

f(n) = 4242.42(1.65)ⁿ - 1300n

Learn More about the exponent link is given below.

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C. 1/2

9 of the truffles are fruit-filled. 2 are coffee-flavored. one is unaccounted for.

Of the 9 fruit-filled ones, 3 are raspberry and one is strawberry. 5 are unaccounted for.

Putting together the ones we don't know, we get 6 unknown ones. 6/12, or 1/2, is the answer.

Answer:

1/98

Step-by-step explanation:

Step 1: Translate statement into equation.

Step 2: Multiply both sides by 7x.

Step 3: Divide both sides by 98.

Step 4: Check if solution is correct.

Therefore, the answer is 1/98.

Answer:

40x10;5x10;40x2;5x2

400+50+80+10

=540

The weekly cost per worker is: $800

Unit rate can be used for calculating expenses, calculating cost of multiple units, or calculating expenses.

Recall:

Unit rate is calculated using: [tex]\mathbf{\frac{y_2 - y_1}{x_2 - x_1} }[/tex]

Unit rate represents the amount of a quantity compared to its unit of measure.

Unit rate can be used for calculating expenses, calculating cost of multiple units, or calculating expenses.

Since the relationship between number of workers and weekly cost is proportional, we would apply [tex]\mathbf{\frac{y_2 - y_1}{x_2 - x_1} }[/tex] in determining the weekly cost per worker using the points, ​(6​, 4800​) and ​(15​, 12000​):

Unit rate/weekly cost per worker = [tex]\frac{12,000 - 4,800}{15 - 6} = \frac{7,200}{9} = 800[/tex]

Unit rate/weekly cost per worker = $800

In summary, the weekly cost per worker is: $800

Unit rate can be used for calculating expenses, calculating cost of multiple units, or calculating expenses.

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Answer: C

Step-by-step explanation: If point P(3,10) is reflected across the line y=1, the coordinates of it's reflection image is (3,-8)

i guess you have copied the wrong question.. it should be somewhat like if tan theta + sec theta = p then find tge value of sin theta...

secθ+tanθ=P

⇒(secθ+tanθ)² = P²

⇒sec² θ+tan² θ+2tanθsecθ=P²

⇒2tan²θ + 1 + 2 sinθ/cos θ = P²

⇒2 sin²θ+ cos²θ+ 2 sinθ total by cos²θ = P²

Applying componendo and dividendo

=> 2sin²θ+ cos²θ+ 2sinθ- cos²θ/ 2sin²θ+ cos²θ+ 2sinθ- cos²θ = p²-1 / p²+1

⇒2sinθ(sinθ+1)/ 2(sinθ+1) = p²-1 / p²+1

=> sinθ = p²-1/ p²+1

Answer:

2.42

Step-by-step explanation:

Answer: 2.4

Step-by-step explanation: It is 2.4 because it is 2 remainder 6

Answer:

The greater the cost, the better the merchandise

Step-by-step explanation:

It’s giving a positive correlation.

Answer:

hundredths place

Answer:

ten thousandths place

Step-by-step explanation:

9 in the thousandths place is basically 0.009, and a 9 in the ten thousandths place is basically 0.0009, which multiplied by ten is 0.009

Answer:

sorry don't speak Spanish

Answer:

3 1/3 is already in the simplest form. It can be written as 0.230769 in decimal form (rounded to 6 decimal places).

Have an awesome day! :D

Answer:

[tex] \: \: \: \: \: \: [/tex]

Answer:

No

No

Yes

Yes

No

Step-by-step explanation:

In this case we are looking at substitution, so any where you find x put three(3) in replace of it.

And remember the answer should be 36,

I find it difficult to type the answer so I will take a picture instead.

4) d

let's firstly convert the mixed fractions to improper fractions, and then proceed

[tex]\stackrel{mixed}{4\frac{3}{8}}\implies \cfrac{4\cdot 8+3}{8}\implies \stackrel{improper}{\cfrac{35}{8}}~\hfill \stackrel{mixed}{1\frac{1}{4}}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}} \\\\[-0.35em] ~\dotfill\\\\ -4\frac{3}{8}-\left( -1\frac{1}{4} \right)\implies -\cfrac{35}{8}-\left( -\cfrac{5}{4} \right)\implies -\cfrac{35}{8}+\cfrac{5}{4}\implies \cfrac{-(1)(35)~~ +~~(2)(5)}{\underset{\textit{using this as LCD}}{8}}[/tex]

[tex]\cfrac{-35+10}{8}\implies -\cfrac{25}{8}\implies -3\frac{1}{8}[/tex]

5)

hmmm we can pick any of those %, hmmm let's use 18%, keeping in mind that the whole amount is really the 100% and that's say "x", hmmm we know the 18% of "x" is $5.87.

[tex]\begin{array}{ccll} \%&amount\\ \cline{1-2} 18&5.87\\ 100&x \end{array}\implies \cfrac{18}{100}=\cfrac{5.87}{x}\implies \cfrac{9}{50}=\cfrac{5.87}{x} \\\\\\ 9x = 293.5\implies x = \cfrac{293.5}{9}\implies x = 32.6\overline{1}\qquad \textit{about 32 bucks and 61 cents}[/tex]

Answer:

the first 2 compartments have 25 so 25+25=50, and the last has 8 in it so 50+8=58