Use the Pythagorean theorem and the following diagram to help you find the area and perimeter of the following triangle. Please show your work and steps, so partial credit may be given:

Use The Pythagorean Theorem And The Following Diagram To Help You Find The Area And Perimeter Of The

Answers

Answer 1

Answer:

Perimeter = 30

Area = 30

Step-by-step explanation:

[tex](x+8)^2 -x^2 = 12^2[/tex]

[tex]x^2 +16x +64 - x^2 = 144[/tex]

[tex]16x+64=144[/tex]

[tex]16x = 80[/tex]

[tex]x = 5[/tex]

Double check:

[tex]\sqrt{12^2 + 5^2} = (5+8)\\\sqrt{12^2 + 5^2} = 13\\13 = 13[/tex]

Perimeter:

[tex]12+5+13=30[/tex]

Area([tex]\frac{1}{2}bh[/tex]):

[tex]\frac{1}{2}[/tex] × 12 × 5 = 30

Answer 2

According to Pythagorean theorem,

Δ  (Hypotenuse)² = (1st Leg)² + (2nd Leg)²

⇒  (x + 8)² = x² + 12²

⇒  x² + 64 + 16x = x² + 144

⇒  16x = 80

x = 5

Hypotenuse = (x + 8) = (5 + 8) = 13

1st Leg = 5

2nd Leg = 12

We know that : Perimeter is the Sum of all sides of the Triangle

⇒  Perimeter = Hypotenuse + 1st Leg + 2nd Leg

⇒  Perimeter = 13 + 5 + 12

⇒  Perimeter = 30

We know that :

[tex]\bigstar \ \ \boxed{\sf{\textsf{Area of a Triangle is given by} : \dfrac{1}{2} \times Base \times Height}}[/tex]

Base = 1st Leg

Height = 2nd Leg

[tex]\implies \sf{\textsf{Area of the Triangle} = \dfrac{1}{2} \times 5 \times 12}[/tex]

[tex]\implies \sf{\textsf{Area of the Triangle} = 30}[/tex]


Related Questions

evaluate 999^3 by using suitable identity​

Answers

The answer is:

999^3 = 997002999

PLEASEEEEEEEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

the answer is rhombus

Answer:

rhombus

Step-by-step explanation:

Jessie borrowed $1800 from the bank at a rate of 7.5% simple interest per year. Over the course of 4 years, how much interest did he pay?

Answers

$540
Explanation:
7.5% of 1800 is 135
135 • 4 = 540

Andrea played dominos nonstop for 52 minutes in Little Havana. If each match lasted 13 minutes, how many matches did she play in that time?

Answers

Answer:

4 Matches

Step-by-step explanation:

According To the Question,

Given, Andrea played dominos nonstop for 52 minutes.And, each match lasted 13 minutes .

Now, The Total Matches she plays in that time = [tex]\frac{(Total Time Played)}{(Time On Each Match)}[/tex]

Thus, Total Matches = 52 / 13 ⇔ 4 Matches

You purchase 75 shares of stock at $15 per share. The next day the stock drops 3%; however, a week later it increases in value by 7%. If you immediately sell your 75 shares, how much will you gain or lose (a) in dollar amount and (b) in percent?

Answers

Answer:

You have gained $43 and the value increased by 3.8%

Step-by-step explanation:

You would 75 times 15 = $1125

then you would do 1125 times 97% = 1091.25

now you would do 1091.25 times 107% = estimation of 1168

then you would do 1168/1125 which is estimated to 1.038 and you would convert that into a percentage = 103.8%

You would do 1168 - 1125 = $43 and 103.8 - 100 = 3.8%

Which is NOT a proposition
A. Marlon is eating his lunch
B. Will you be at school tomorrow.
C. The earth is rectangular
D. 10 + 5 = 15

Answers

Answer:the answer is b

Step-by-step explanation:reason being that the question will you be at school tmrw?cat be given a choice to say wether it’s true or false so Yh...I don’t know if that helped

Find the missing side

Answers

Answer:

12.94811641 =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj/ hyp

cos 44 = x /18

18 cos 44 =x

12.94811641 =x

Answer:

12.9

Step-by-step explanation:

cos(44) = x/18

x = cos(44) * 18

x = 12.9

The LCM of three numbers is 360 and the GCD of the same numbers is 2.If one of the numbers is 40.Find the other 2 numbers

Answers

Answer

“The LCM of three numbers is 360“ The prime factors of 360 are 2³×3²×5¹. That means:

At least one of the numbers contains 2³ in its factorization list.

At least one of the numbers contains 3² in its factorization list.

At least one of the numbers contains 5 in its factorization list.

“One of the numbers is 40“ The factorization list of 40 is 2³×5, so 1) and 3) are satisfied.

“The GCD of the same numbers is 2“ This implies that all 3 numbers are even, and that at least one number only has one 2.

The candidates for the 2nd number, that has 3², are: 18, 12, 72 (3²×2³), 120, 180, or 360.

The candidates for the 3rd number depends on how many 2s the 2nd number has.

If more than one: 2, 6, 18, 10, 30, 90

If only 1, those plus 4, 8, 12, 36, 72, 20, 40, 120, 180, 360

A recursively defined sequence is shown below. a1 = 5 an+ 1 = 2an -7 The value of a4 is

1. -9
2. -1
3. 8
4. 15​

Answers

I think is




3. 8



Hpta me están poniendo a escribir mucho men

The value of a₄ is -9

What is recursively defined sequence?

Recursively defined sequence is the sequence where every term is calculated by the use of the one or more previous term given.

In this given problem

a₁ = 5

given relation between term is [tex]a_{n+1}[/tex] = 2aₙ -7

using this relation

take n=1

a₂ = 2a₁-7 =(2*5)-7=3

then by taking n=2

a₃ = 2a₂-7 =(2*3)-7=-1

then taking n=3

a₄= 2a₃-7 =(2*(-1))-7= -9

so the final answer will be a₄ = -9

learn more about Recursively defined sequence

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Help!! Please also explain how you got your answer

Answers

Answer:

y = -½x + 4

Step-by-step explanation:

the line passes point of y-intercept (0, 4) ,

and another point (6, 1)

the slope = (1-4)/(6-0) = (-3)/6 = -½

so the Equation is y = -½x + 4

can someone help with this one im confused. ​

Answers

Answer:

C

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

This circle graph shows the percent of land occupied by each continent.
The area of North America is approximately 220 million km2
.

Use the percents in the circle graph.
Find the approximate area of each of the other continents,
to the nearest million square kilometres.

Answers

The approximate areas of the continents (excluding North America) are as follows:

- Australia: 11 million km^2

- Europe: 15 million km^2

- Antarctica: 18 million km^2

- South America: 26 million km^2

- Africa: 44 million km^2

- Asia: 66 million km^2

To find the approximate area of each continent, we will multiply the given percentages by the area of North America (220 million km^2).

1. Australia:

Percentage: 5%

Approximate area: 0.05 * 220 million km^2 = 11 million km^2

2. Europe:

Percentage: 7%

Approximate area: 0.07 * 220 million km^2 = 15.4 million km^2 (rounded to 15 million km^2)

3. Antarctica:

Percentage: 8%

Approximate area: 0.08 * 220 million km^2 = 17.6 million km^2 (rounded to 18 million km^2)

4. South America:

Percentage: 12%

Approximate area: 0.12 * 220 million km^2 = 26.4 million km^2 (rounded to 26 million km^2)

5. Africa:

Percentage: 20%

Approximate area: 0.20 * 220 million km^2 = 44 million km^2

6. Asia:

Percentage: 30%

Approximate area: 0.30 * 220 million km^2 = 66 million km^2

Note: These values are rounded to the nearest million square kilometers.

For more such questions on continents

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what is

6
+0.2
————-

Answers

6.2 because it is simply addition

Answer:

Your correct answer will be 6.2

Step-by-step explanation:

First, we line up the decimal points,  0.2 plus 6.0, always add 0 to the number without the decimal.

Last, you just add them, and you will get 6.2

Mark me brainliest and have a good day!

what is b
−2.9+ b/0.1 = − 39.9

Answers

Answer:

b = - 1.09

Step-by-step explanation:

- 2.9 + b ÷ 0.1 = - 39.9

- 2.9 + b ÷ 0.1 × 0.1 = - 39.9 × 0.1

- 2.9 + b = - 3.99

- 2.9 + 2.9 + b = - 3.99 + 2.9

b = - 1.09

Answer:

Exact form

b=-37/10

Decimal form

b=-3.7

Mixed Number form

b+-3 7/10

Step-by-step explanation:

-2.9+b/1/10+-39.9

-2.9+10b+-39.9

10b=-39.9+2.9

10b=-37

b=-37/10

X+y=0
x-y+2=0
Help, also write on paper please? I wanna learn how to do this

Answers

Step-by-step explanation:

Y=x

Y=x+2

Plot graph but not up to scale just for u to understand

Solve the equation 6x^2 + 15x + 3= 2x^2 to the nearest tenth.

Answers

Answer:

x = -0.2 and x = -3.5

Step-by-step explanation:

Combine like terms in the given equation, by subtracting 2x^2 from both sides:

6x^2 + 15x + 3 = 2x^2

-2x^2                = -2x^2

----------------------------------

4x^2 + 15x + 3 = 0

This is a quadratic equation.  We'll find the two solutions using the quadratic equation

      -b ± √(b^2 - 4ac)

x = ---------------------------

                  2a

Here the coefficients of the quadratic are a = 4, b = 15 and c = 3.

Thus, the discriminant b^2 - 4ac is 15^2 - 4(4)(3), or +177

and from that we know we'll find two real, unequal roots.

                                -15 ± √177

The roots are:  x = ------------------- , or x = -0.2 and x = -3.5

                                         8

first answer gets most brainley

Answers

Answer:

What are we supposed to do on this

Step-by-step explanation:

Answer:   the dilated point will be 2 units at the right of P, and 3 units above P.

Step-by-step explanation:

Help pleasee! I need to get this right.

Answers

Answer:

You got it! B. x ≤ -7 or x ≥ 2

Step-by-step explanation:

In inequalities, a filled dot means "also including," so the value at which the filled dot is placed is also included in the inequality (hence the "or equal to"). In this case, both red dots (at -7 and 2) are filled, so both values are included in the inequality.

The red portions are part of the inequality. Looking at the arrow going from -7 and pointing to the left, we can tell that that value and the ones smaller than -7* are included, so it would be x ≤ -7.

Looking at the arrow pointing from 2 to the right, it includes 2 and all the numbers to the right of it, so the inequality would be x ≥ 2.

So, the final answer is B. x ≤ -7 or x ≥ 2.

*the value of negative numbers decreases as the numbers themselves increase (-5 is larger than - 36, for example).

Which numbers are written in scientific notation? Check all that apply.
0.87x10^8
15.489 x 10^6
O 10.1x 10^-12
07.08 x 10^6
1.2345 x 10^-1

Answers

Answer:

The last two

Step-by-step explanation:

Scientific notation:

a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8

Determine the surface area of the shape below.

Answers

Try this option:

1. the required surface area consists of: A=A₁+A₂+A₃, where

2. A₁=pi*r*l - the surface of the cone:

pi=3.14; r=4/2=2 cm; l=sqrt(6²+2²)=2√10≈6.33 (cm);

A₁=3.14*2*6.33=39.74 (cm²).

3. A₂=a²-pi*r² - the surface of the top plane:

A₂=36-3.14*4=23.43 (cm²).

4. A₃=5*a² - the surface of the five planes of the given cube:

A₃=5*6²=180 (cm²).

5. the required area:

A=39.74+23.43+180=243.17 (cm²).

Answer: 243.17

If ABC ~ DEF and the scale factor from ABC to DEF is 2, what are the lengths of , , and , respectively?

Answers

Answer:

4,8,12 hope that helps heeeeheheʘ‿ʘ

What would it be I got it wrong ?

Answers

The correct answer is the fourth choice
The answer to it would be D

1) f(x) = 3x2+ 5x -2
a) Write an equation that can be used to find the zeros of the function.
b) What are the zeros of the function?

Answers

Here you go:

a) f(x)= (3x-1)(x+2)
This is factoring. It helps you find the zeros if you set this equal to zero. You can clearly identify what the zeros are.

b) (3x-1)(x+2)=0
x=1/3, x=-2

Plug those back into the equation to see if they work. In this case they do so those are your answers.

-3 + 4x = 25
help mee

Answers

Answer:

are u solving for  x  if so then

x=7

Step-by-step explanation:

hope this helps ...brainliest please!

-3+4x+=25
4x=25+3
4x=28
4x=4
x=7

For a rollerblading party there are 50 tickets available. Jason buys 6 tickets and Heather buys three times as many as Jason bought. How many tickets are left to be sold?


Show your work

Answers

Answer:

There are 26 tickets left to be sold.

Step-by-step explanation:

Jason - 6 tickets

Heather - 6(3) = 18 tickets

6+18 = 24 tickets

50-24 = 26 tickets

please help meeeeeeee​

Answers

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Answer:

x + y = 60

Step-by-step explanation:

[tex]2x + 2y + 60 = 180 \\ 2x + 2y = 180 - 60 \\ 2x + 2y = 120 \\ \frac{2x + 2y}{2} = \frac{120}{2} \\ x + y = 60 \\ [/tex]

What is the area of the polygon enter your answer in the box

43.5 units2
45.5 units2
56.5 units2
49.5 units2

Answers

Answer:

Option (1)

Step-by-step explanation:

Area of the polygon = Area of CDE + Area of EFG + Area of ABCF

Area of triangle CDE = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                   = [tex]\frac{1}{2}(3)(2)[/tex]

                                   = 3 units²

Area of ΔCDE = [tex]\frac{1}{2}(5)(1)[/tex]

                       = 2.5 units²

Area of trapezoid ABCF = [tex]\frac{1}{2}(b_1+b_2)h[/tex]

                                        = [tex]\frac{1}{2}(8+11)(4)[/tex]

                                         = 38 units²

Area of the given polygon = 3 + 2.5 + 38

                                            = 43.5 units²

Therefore, Option (1) will be the correct option.

What is the measure of ZWX?

Answers

Step-by-step explanation:

180°+63°

=243°

holp it help

f(x) = 3x - 4

x is -2

Answers

plug in -2 in x. Which will give you x=2/3

Owen bought 4 pizzas for a class party. If each person ate 1/5 of a pizza, how many people could be served? Division and multiplecation please right the correct equation.

Answers

9514 1404 393

Answer:

  20 people

Step-by-step explanation:

Let n represent the number of people served. If each ate 1/5 of a pizza and there are 4 pizzas, we have ...

  (1/5)·n = 4

The solution can be found by multiplying both sides of the equation by 5.

  5(1/5)n = 5(4)

  n = 20

20 people could be served.

Other Questions
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Next year we are expected to have 500 more employees than our current facility allows, but my analysis reveals that 600 of our employees could telecommute. Therefore, we can avoid costly actions such as moving our offices or building extensions if these workers became telecommuters, job sharing can also reduce facility costs as well as payroll costs. Tamnofsky and Robin would be most likely to disagree about which of the following questions? A. Would telecommuting likely lead to cost savings? B. Does the organization have a moral obligation to offer flextime and job sharing options? C. If offering a job sharing option would not reduce costs, should the organization still offer it? D. Would the organization be better able to keep valuable employees if it offered flextime and job sharing options? E. 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Specifically, you have cross-sectional wage and work experience data on individuals in 2006, and cross-sectional data on those same individuals in 2012. You plan to use the following fixed effects model to analyze the effects of work experience on wages: log (wage it ) = o + 80 yr10, + B1 experit + ai + uit where wage it = yearly wage of individual i at time t, in dollars yrl0, =1 in the year 2010 (t = 2), and =0 otherwise (t = 1) exper = years of work experience of individual i, at time t ai = unobserved (time-invariant) effect uit = idiosyncratic error Two other factors that can influence wage, which you have not controlled for in your model, are height and industry of employment. Use the following table to indicate which term in the fixed effects model captures the effect of height, which term captures the effect of industry of employment, and which term captures the effect of work experience. ai uit 1Work experience Height Industry of employment I need help with #3. Please help. 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