Find the perimeter of the figure shown. Round your answer to the nearest centimeter. This is for problem number 9

Find The Perimeter Of The Figure Shown. Round Your Answer To The Nearest Centimeter. This Is For Problem

Answers

Answer 1

[tex]\begin{gathered} \text{Triangle A is }an\text{ equilaterial triangle hence} \\ F^2=1.5^2+(\frac{F}{2})^2 \\ \\ F^2=1.5^2+\frac{F}{4}^2 \\ F^2-\frac{F}{4}^2=1.5^2 \\ \frac{3F}{4}^2=1.5^2 \\ F^2=\frac{4(1.5^2)}{3} \\ F=\sqrt[]{\frac{4(1.5^2)}{3}} \\ F=1.73cm \\ \text{From triangle B} \\ D=F=1.73cm \\ \tan (55\text{\degree)=}\frac{G}{D} \\ \text{Solving G} \\ G=D\tan (55\text{)} \\ G=(1.73cm)\tan (55\text{)} \\ G=2.47cm \\ \cos (55)=\frac{D}{E} \\ Solv\text{ing E} \\ E=\frac{D}{\cos(55)} \\ E=\frac{1.73cm}{\cos(55)} \\ E=3.01cm \\ \text{From triangle L} \\ \sin (55)=\frac{J}{G} \\ \text{Solving J} \\ J=G\sin (55) \\ J=(2.47cm)\sin (55) \\ J=2.02cm \\ \cos (55)=\frac{K}{G} \\ \text{Solving K} \\ K=G\cos (55) \\ K=(2.47cm)\cos (55) \\ K=1.42cm \\ \text{Triangle M=L} \\ Hence \\ I=N=J \\ I=2.02cm \\ N=2.02cm \\ H=O=K \\ H=1.42cm \\ O=1.42cm \\ Perimeter=2(1.73cm)+3.01cm+3(2.02cm)+1.42cm \\ Perimeter=13.95cm\approx14cm \\ \text{The perimeter is }14cm \end{gathered}[/tex]

Find The Perimeter Of The Figure Shown. Round Your Answer To The Nearest Centimeter. This Is For Problem

Related Questions

Evaluate the expression.3 – 5 (11 + 4) = 52

Answers

In order to evaluate this expression, let's calculate the operations in the left side and compare the final value with the value in the right side:

[tex]\begin{gathered} 3-5(11+4)=52 \\ 3-5\cdot15=52 \\ 3-75=52 \\ -72=52 \end{gathered}[/tex]

Since the values don't match, so the expression is FALSE.

a business has total revenues of $55,000 and total expenses of $63,000. what is the net income or net loss? a. $11800b.-$11800c. $8000d.-$8000

Answers

Recall that:

[tex]NetIncome=Revenues-Expenses.[/tex]

Since the business has a total revenue of $55,000 and total expenses of $63,000, therefore the net income is:

[tex]\begin{gathered} NetIncome=\text{ \$}55,000-\text{ \$}63,000 \\ =-\text{ \$}8000. \end{gathered}[/tex]

Answer: Option D.

9m^2 - 49factor each expression. Be sure to check for the greatest common factor first.

Answers

We need to factor the following polynomial:

[tex]9m^2-49[/tex]

We can see that:

[tex]9m^2=3^2m^2=(3m)^2[/tex]

And

[tex]49=7^2[/tex]

Then, we can use the following factor rule:

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

We have that:

[tex]x=3m,y=7[/tex]

Then, we can factor the polynomial as follows:

[tex]9m^2-49=(3m)^2-(7)^2=(3m-7)(3m+7)[/tex]

In summary, we have:

[tex]9m^2-49=(3m-7)(3m+7)[/tex]

The tree diagram represents an experiment consisting of two trials
What is P(A)

Answers

The value of probability P(A) is 0.60

How to determine the probability?

The clear tree diagram is added as an attachment

The given parameters from the tree diagram are:

Probability of event A: P(A only) = 0.6Probability of event A: P(A and C) = 0.3Probability of event A: P(A and D) = 0.7

The probability is calculated using the following probability formula

P(A) = P(A and D) + P(A and C)

Substitute the known values in the above equation

P(A) = 0.6 * 0.7 + 0.6 * 0.3

Evaluate the products

P(A) = 0.42 + 0.18

Evaluate the sum

P(A) = 0.60

Hence, the value is 0.60

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Catalina is moving to a new house. Her old house is 3.5 miles away from her new house. How many feet are between Catalina’s old and new house?

Answers

18480 feet are between her old and new house

11 – 8 (5 – 2) help

Answers

Answer

11 - 8 (5 -2) = -13

Explanation

11 - 8 (5 -2)

To solve this, we will first solve the one in the bracket

11 - 8 (5 -2)

= 11 - 8 (3)

= 11 - 24

= -13

Hope this Helps!!!

if you walk 2 1/4 miles in 3/4 hours how far can you walk in 2 1/2 hours

Answers

FIrst calculate the speed, as follow:

speed = distance/time

distance = 2 1/4 mi = 2.25 mi

time = 3/4 h = 0.75 h

speed = 2.25 mi/0.75 h = 3 mi/h

next, for the distance traveled in 2 1/2 hours, use:

distance = speed x time

time = 21/2 h = 2.5 h

distance = (3 mi/h) x (2.5 h)

distance = 7.5 mi =7 1/2 mi

Hence, you can walk 7 1/2 miles in 2 1/2 hours

A car rental agency charges a fixed fee plus a daily rate. The function f (x) = 30x + 10 expresses the total cost of renting a car for x days. Suppose the agency doubles the fixed fee and increases the daily rate by $5. Which function represents these changes? A. f(x) = 60 (x + 5) + 10 B.f(x) = 60x + 15 C. f(x) = 30 (x + 5) + 20 D. f (x) = 35x + 20

Answers

Writing a function

In the given equation:

f(x) = 30x+ 10, where x is the number of days

We can see that at the beggining, when x = 0, then f (0) = 30 · 0+ 10 = 10

Then, renting a car costs at least $10, so $10 is the fixed fee

Each day that passes $30 is being multiplicated, then it cost $300 per day.

Then, the equation is expressed by

f(x)= daily rate · x + fixed fee

If the agency doubles the fixed fee, it would be that 2 · $10 = $20

If the agency increases the daily rate by $5, in addition, then $30 + $5 = $35 woul be the cost each day.

Then, with these new costs we reaplce our equation

f(x)= daily rate · x + fixed fee

f(x)= 35 · x + 20

Answer: D. f (x) = 35x + 20

6.Landscaping Calculate the area (in square feet) of a flower garden shaped like a circularsector with radius 60 ft and central angle 40 degrees.

Answers

The area of the circular sector is given as:

[tex]\begin{gathered} \text{Area}=\frac{\theta}{360}\times\pi r^2 \\ \end{gathered}[/tex]

Given that, radius= 60ft and angle =40 degrees

[tex]\begin{gathered} \text{Area}=\frac{40}{360}\times3.14\times60\times60 \\ \text{Area}=\frac{452160}{360} \\ \text{Area}=1256\text{square f}eet \end{gathered}[/tex]

Expand and simplify(3x+4)(2x + 3)

Answers

Answer:

6x²+17x+12

Step-by-step explanation:

open the bracket

3x(2x+3) 4(2x+3)

6x²+9x+8x+12

6x²+17x+12

hope it helps

please mark brainliest

Answer:

6x^2 + 17x + 12

Step-by-step explanation:

first (distribute):

(3x+4)(2x+3)

3x(2x+3) + 4(2x + 3)

then (distribute) again:

3x(2x+3) = 6x^2 + 9x

4(2x + 3) = 8x + 12

then (combine terms):

6x^2 + 9x + 8x + 12

6x^2 + 17x + 12

yasir received a 50% increase in his allowance this year. He now receives £33 a week. What was his weekly allowance last year?

Answers

Answer:

£22

Step-by-step explanation:

x+1/2x=33

1.5x=33

33/1.5=22

The weekly allowance for Yasir last year is £22.

What is the percentage?

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that Yasir received a 50% increase in his allowance this year. He now receives £33 a week.

The weekly allowance for last year will be calculated as,

1.5 x (X) = £33

X = £33 / 1.5

X = £330 / 15

X = £22

Therefore, Yasir's weekly allowance for last year is £22.

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Based on statistics from a worldwide health organization, in 2005 there were22.6 million people worldwide living with a certain disease, and 1.9 million deaths from the disease. By 2015,the number of people living with the disease had grown to 38.9 million deaths were reported. Find the percent change for each statistic, and write any conclusion you can draw.

Answers

Percent change of people living with the disease = 72.1%

Percent change of number of death = 5.2%

Explanation:

The Number of people living with the disease increased from 22.6 million in 2005 to 38.9 million in 2015

To get the percentage, we will apply the formula:

[tex]percent\text{ change = }\frac{New\text{ value - Old value}}{Old\text{ value}}\times\text{ 100\%}[/tex][tex]\begin{gathered} new\text{ value = 38.9 million, old value = 22.6 million} \\ percent\text{ change = }\frac{38.9\text{ - 22.6}}{22.6}\text{ }\times100 \\ percent\text{ change = 0.721 }\times\text{ 100\% = 72.1\%} \end{gathered}[/tex]

The number of death increased from 1.9 million to 2 million from 2005 to 2015:

[tex]\begin{gathered} new\text{ value = 2 million, old value = 1.9 million} \\ The\text{ percent change = }\frac{2-1.9}{1.9}\times100\text{ \%} \\ The\text{ percent change = 0.052 }\times\text{ 100\% = 5.2\%} \end{gathered}[/tex]

Conclusion:

The number of people living with the disease increased drastically within 10 years.

But the percent change in the number of death isn't as high as the number of people living with the disease. It means the disease is highly infectious but has a low death rate

If a car moves along a perfectly straight road at a velocity of 24 m/s, how far will the car go in 35 minutes?​

Answers

Answer:

distance = rate x time

Step-by-step explanation:

distance = ?

rate = 24 m/s

time = (35 x 60) = 2100 s

thus,

distance = 24 x 2100 = 50400 m

Use the sequence below to complete each task. -2, 8, -32,... a. Identify the common ratio (r). b. Write an equation to represent the sequence. C. Find the 10th term (a,0)

Answers

hello

we're required to write an equation to represent the sequence

-2, 8, -32

first of all, let's identify the first term

first term = -2

common ratio = ?

c

Given{x=7y-9 2x-14y= -18I think the solution is b? Am I correct?

Answers

Answer:

there are infintely many solutions. The solution set is {(x, y)| x = 7y - 9} or {(x, y)| 2x - 14y = -18 (option B)

Explanation:

Given:

x = 7y - 9 . . .(1)

2x - 14y = -18 . . . (2)

To find:

the solution of the system of equations

To determine the value of x and y, we will apply the substitution method:

we will substitute for x in equation (2):

2(7y - 9) - 14y = -18

2(7y) + 2(-9) - 14y = -18

14y - 18 - 14y = -18

14y - 14y - 18 = -18

0 - 18 = -18

-18 = -18

The left-hand side of the equation is equal to the right side of the equation.

when this happens, it is called infinitely many solutions.

Hence, there are infintely many solutions. The solution set is {(x, y)| x = 7y - 9} or {(x, y)| 2x - 14y = -18 (option B)

Polynomial equation

Answers

Using the Factor Theorem, the polynomial function with the desired characteristics is given by:

f(x) = -x(x² + 9)(x - 1)(x - 2).

Factor Theorem

The Factor Theorem states that a polynomial function with roots(also called zeros) [tex]x_1, x_2, \codts, x_n[/tex] is given by the rule presented as follows.

[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]

In which a is the leading coefficient of the polynomial, determining if it is positive(a positive) or negative(a negative), determining the end behavior of the function.

For this function, we have:

Two complex roots, hence a factor of (x² + 9).A root at x = 0, hence f(x) = ax(x² + 9).

The two other roots are free, hence I am going to attribute x = 1 and x = 2, hence the equation is:

f(x) = ax(x² + 9)(x - 1)(x - 2).

The end behavior is that the function increases to the left and decays to the right, meaning that the leading coefficient is negative, hence a possible function is given by:

f(x) = -x(x² + 9)(x - 1)(x - 2).

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Tracy's Termite Control has a net worth of $750,000. The assets total $980,235. Find the amount of the liabilities.$1,730,235$730,235$229,765$230,235None of these choices are correct.

Answers

Tracy's Termite Control has a net worth of $750,000.

The assets total $980,235.

Recall that the assets are the sum of liabilities and equity.

[tex]Assets=Liabilities+Equity[/tex]

For the given case,

Assets = $980,235

Equity = $750,000

Let us substitute these values into the above formula and solve for liabilities

[tex]\begin{gathered} Assets=Liabilities+Equity \\ 980,235=Liabilities+750,000 \\ Liabilities=980,235-750,000 \\ Liabilities=\$230,235 \end{gathered}[/tex]

Therefore, the amount of the liabilities is $230,235

The 4th option is the correct answer.

What is the equation of the
line that goes through
(-1, 3) and is perpendicular
to y = 4x - 7?

Answers

Answer:

Step-by-step explanation:Perpendicular lines have a slope that is the negative reciprocal of the given line.

For example, if a given line has the slope 3/2, the the perpendicular line would have the slope -2/3.

For the given line: y = 4x - 7, the perpendicular line would have a slope of -1/4

There isn't enough info in the question to determine the y-intercept. Literally, any y-intercept could work and the line would still be perpendicular. Is the line supposed to pass through a certain point?

Your answer would be something like: y = -1/4 x + b

b is the y-intercept...if your question paper is multiple choice, choose the answer with the slope of -1/4. If it's supposed to pass through a certain point (x,y) replace x and y with the values in that point and solve for b to get the y-intercept.

m^2+5mn+5n^2factor each polynomial completely. If a polynomial is prime, state this.

Answers

m²+5mn+5n²

To factor the above, we need two factors of 5n², such the sum gives 5n and the product gives 5n²

No such factors exists, hence the polynomial is prime.

hi, i need aloy of help ​

Answers

Answer:

XY ≈ 14.32

Step-by-step explanation:

XY² = XZ² + ZY²

XY² = 6² +13²

XY² = 36 + 169

XY² = 205

XY = [tex]\sqrt{205\\[/tex]

XY ≈ 14.32

Who is Caleb? What is his job? Hpw p;d ois;O?

Answers

Answer:

oiutwecldvi ufa

Step-by-step explanation:

type the correct answer in the Box spell all words correctly which type of coordinates does Andrews. Take Andrew studying mathematics and studying about the (blank (coordinate system in this system the coordinates of the of a point are dependent on the distance of the point from the origin and the angle of the start of the points substance at the origin

Answers

Where the coordinates of a points pedepend on the distance to the origin of the coordinate system and also depend on the angle, the coordinate system is a POLAR coordinate system.

Roots of Quadratics 50 PTS!!!

Answers

The values of k for the different quadratic equation solutions are as follows

a  the equation 2x² - x + 3k = 0 has two distinct real roots

k < 1/24

b. the equation 5x² - 2x + (2k − 1) = 0 has equal roots

k = 3/5

ci the equation -x² + 3x + (k + 1) = 0 has real roots

k > -3.25

d the equation 3kx² - 3x + 2 = 0 has no real solutions

k < ± 1.633

How to solve quadratic equations to get different answers

Quadratic equations of the form ax² + bx + c = 0 is solved using the formula

[tex]-b+\frac{\sqrt{b^{2}-4ac } }{2a}[/tex]     OR     [tex]-b-\frac{\sqrt{b^{2}-4ac } }{2a}[/tex]

The equation b² - 4ac is called the discriminant and it is used as follows

To solve the equation and get two real roots: 2x² - x + 3k = 0

b² - 4ac > 0

substituting the values gives

(-1)² - 4 * 2 * 3k > 0

1 - 24k > 0

1 > 24k

divide through by coefficient of k

k < 1/24

To solve the equation and get equal roots: 5x² - 2x + (2k − 1) = 0

b² - 4ac = 0

substituting the values gives

(-2)² - 4 * 5 * (2k - 1) = 0

4 - 40k + 20 = 0

-40k = -24

divide through by coefficient of k

k = 3/5

To solve the equation and get real roots  -x² + 3x + (k + 1) = 0

b² - 4ac > 0

substituting the values gives  

(3)² - 4 * -1 * (k+1) > 0

9 + 4k + 4> 0

4k > -13

divide through by coefficient of k

k > -3.25

To solve the equation and get  no real solutions  3kx² - 3x + 2 = 0

b² - 4ac < 0

substituting the values gives  

(-3)² - 4 * 3k * 2 < 0

9 - 24k² > 0

9 > 24k²

divide through by coefficient of k²

k² < 24/9

k < ± 1.633

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Answer:

ax² + bx + c = 0 is solved using the formula

 

Step-by-step explanation:

Pythagorean Theorem• Create a real-world problem involving three lengths that form a right triangle• Give the measurement of the “legs”, then solve for the missing hypotenuse

Answers

Solution

Problem

A ladder is leaning on a wall that is 6 feet tall. The distance from the bottom of the ladder to the wall is 8 feet wide.

Solution

Therefore, using the Pythagorean Theorem, 6^2 + 8^2 = 36 + 64 = 100. The square root of 100 is 10. The triangle's hypotenuse or the ladder's length is 5 feet.

Find sin S, sin R, cos S, cos R.sin S =sin R =cos S =cos R =

Answers

From the basic knowledge of Trignometry,

We are meant to find sin S , sin R , cos S and cos R:

sin S = opposite / Hypoteuse = 18 / 26

sin R = opposite / Hypotenuse = 16 / 26

cos S = Adjacent / Hypotenuse = 16 / 26

cos R = Adjacent / Hypotenuse = 18 / 26

a commuter travels 67 km in 32 min .what is it's speed in kilometer per hour?

Answers

Answer:

125.625 kilometers per hour

Explanations:

Note:

60 minutes = 1 hour

32 minutes = 32/60 hours

The speed is the distance traveled in 1 hour

Distance = 67 km

Time = 32/60 hours

Speed = Distance / time

[tex]\begin{gathered} Speed\text{ = 67 }\div\text{ }\frac{32}{60} \\ \text{Speed = 67 }\times\text{ }\frac{60}{32} \\ \text{Speed = }\frac{4020}{32} \\ \text{Speed = }125.625\text{ km per hour} \end{gathered}[/tex]

very confused on this , if possible please explain step by step

Answers

The resultant of the subtraction of the equation 8x³ + 2x² - 5x -6 from the equation 9x³ + 3x² - 6x + 4 is x³ + x² - x + 10.

What is subtraction?

To subtract in mathematics is to take something away from a group or a number of objects.

The group's total number of items decreases or becomes lower when we subtract from it.

As per the given equations,

9x³ + 3x² - 6x + 4 and 8x³ + 2x² - 5x -6

The subtraction of  both equations will be,

⇒ [9x³ + 3x² - 6x + 4] - [8x³ + 2x² - 5x -6 ]

⇒  9x³ + 3x² - 6x + 4 - 8x³ - 2x² + 5x + 6

⇒ 9x³ - 8x³ + 3x² - 2x² - 6x + 5x + 4 + 6

⇒ x³ + x² - x + 10.

Hence "The resultant of the subtraction of the equation 8x³ + 2x² - 5x -6 from the equation 9x³ + 3x² - 6x + 4 is x³ + x² - x + 10".

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2, 4, 5, 6, 6, 7
What is the mean of the list of numbers above?

Answers

Answer: 5

Step-by-step explanation: add up the numbers to get 30 then divide by 6 (the amount of numbers) to get 5

Answer: 5

Step-by-step explanation:

the mean is the average. add the numbers together then divide by how many addends you have.

2 + 4 + 5 + 6 + 6 + 7 =  30

30/6 = 5

:)

Can someone tell me how to solve it with a picture on how you did it. Teacher told me to show my work. It hard pls Helppp

Answers

The solution to the given inequality in interval notation is: -6 ≤ v ≤ 3

How to solve the given inequality?

In this exercise, you're required to determine all the values of v that simultaneously satisfy given inequality. First of all, we would have to eliminate the fraction on the left-hand side of the inequality by adding using an appropriate lowest common denominator of 3 as follows:

(2 × |4v + 6|)/3 - 2/1 ≤ 10

[(2 × |4v + 6|) - (3)2]/3 ≤ 10

[(2 × |4v + 6|) - 6]/3 ≤ 10

Cross-multiplying, we have:

(2 × |4v + 6|) - 6 ≤ 10 × 3

(2 × |4v + 6|) - 6 ≤ 30

Adding 6 to both sides, we have:

(2 × |4v + 6|) - 6 + 6 ≤ 30 + 6

(2 × |4v + 6|) ≤ 36

Dividing both sides by 2, we have:

(2 × |4v + 6|)/2 ≤ 36/2

|4v + 6| ≤ 18

Evaluating the absolute value function, we have:

4v + 6 ≤ ±18

For the positive interval, we have:

4v ≤ 18 - 6

4v ≤ 12

v ≤ 12/4

v ≤ 3.

For the negative interval, we have:

4v ≥ -18 - 6

4v ≥ -24

v ≥ -24/4

v ≥ -6

Lastly, we would express the solution as an interval notation as follows:

-6 ≤ v ≤ 3

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which of the relations has a domain of (-5, 0, 5)

Answers

Choice A

Is the answer

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