You have a Right Triangle with side lengths of 9ft and 12ft; solve for its perimeter and area.

Answers

Answer 1

Step-by-step explanation:

of course, we have to use Pythagoras.

c² = a² + b²

c is the Hypotenuse = the side opposite of the 90° angle.

and here is the problem : are 9 and 12 the legs. or is one of them the Hypotenuse ?

I don't know from the description.

let's see what we get one way or the other :

assumption : the known sides are the "legs".

c² = 9² + 12² = 81 + 144 = 225

c = 15 ft

that is a nice number. so, it looks like that was the intention.

just to be sure, here also the other options :

9² = 12² + side²

81 = 144 + side² that makes side² negative, so, not valid.

12² = 9² + side²

144 = 81 + side²

63 = side²

side = sqrt(63) this is not a nice round number, so, we go with the first option.

therefore, the 3 sides are

9 ft, 12 ft, 15 ft

perimeter = 9+12+15 = 36 ft

area = baseline×height/2

since this is a right-angled triangle, the "legs" with the enclosed 90° angle serve as baseline and height.

area = 9×12/2 = 9×6 = 54 ft²


Related Questions

The solution is -1/2.

Which multiplication equation has the given solution?

Answers

Answer:

5x=-(5/2) ~~ first choice

Step-by-step explanation:

divide both sides by 5

-> x=(5/2)/5

simplify the above

-> x = - (5/2x5)

simplify

-> x = -(5/10)

simplify and solve

=> x = - 1/2

(basically trial and error)

Given the equation y=|x| complete the table of values

Answers

Answer:

2,1,0,1,2

Step-by-step explanation:

WILL MARK BRAINLIEST!!!
PLEASE HELP AND NO LINKS

Answers

Answer:

1000 = 450 + 50w

Step-by-step explanation:

She starts with $450 so that is why you add it. The amount she started with will not change.

She earns $50 per week so you add 50 multiplied by the number of weeks she works.

You do this until it equals 1000

20 POINTS AND BRAINLIST! WILL BE GIVEN!!
complete the following statements.

<1 and <5 are remote interior angles of <4.

_ and _ and are remote interior angles of <6.

_ and _ are remove interior angles of <2.

Answers

The sum of the remote interior angles are equal to the exterior angles.

The completed statements are;

∠1 and ∠3 are remote interior angles of ∠6

∠3 and ∠5 are remote interior angles of ∠2

Reasons:

Remote interior angles are the angles that are not on the same vertex as an exterior angle

The remote interior angles of ∠4 are ∠1 and ∠5

Similarly, we have;

∠1 and ∠3 are remote interior angles of ∠6

∠3 and ∠5 are remote interior angles of ∠2

Learn more about the exterior and interior angles of a triangle here:

https://brainly.com/question/8797215

What is the prime factorization of 24?
1. 2x2x2x3
2. 2x2x3
3. 8x3
4. 6x4​

Answers

Answer:

1. 2x2x2x3

Step-by-step explanation:

Let's do process of elimination.

2. 2x2x3

2x2=4   4x3=12

2 is false.

3. 8x3

8x3=24

3 is true, but 8 is not a prime number.

4. 6x4​

6x4=24

4 is true, but 6 is not a prime number.

This leaves 1. 2x2x2x3.

1. 2x2x2x3

2x2=4    2x3=6     6x4=24

1 is true, and 2 and 3 are prime numbers. So, the answer is 1.

-hope it helps

Answer:

1. 2x2x2x3

Step-by-step explanation:

Prime factorization is defined as a way of finding the prime factors of a number, such that the original number is evenly divisible by these factors.

[tex]24\:\mathrm{divides\:by}\:2\\\\\quad \:24=12\cdot \:2[/tex]

[tex]12\:\mathrm{divides\:by}\:2\\\\\quad \:12=6\cdot \:2[/tex]

[tex]6\:\mathrm{divides\:by}\:2\quad\\\\ \:6=3\cdot \:2[/tex]

[tex]2, 6\:\mathrm{divides\:by}\:2\quad \\\\\:6=3\cdot \:2[/tex]

find the unknown angle can someone help me pls what is this how do i even find the unknown angle

Answers

Answer:

1 135

2 45

3 135

4 45

Step-by-step explanation:

think in terms of supplimentary angles. those that add up to 180

1 and 3 are equal because opposite angles are equal so
3 = 135 degrees
angles in a circle = 360
360 - (135 x 2) = 90
90 / 2 = 45 so
2 and 4 are each 45 degrees

Can u help me w this

Answers

Answer:

a) 15, b) 36

Step-by-step explanation:

Answer:

a is 15, b is 6

Step-by-step explanation:

a. 5x+3=17. subtract 3 on both sides then u get 5x=14 then you simply by dividing by 5 on each side which gives you x= 14/5 = 2.5 so ..... 5x+1= 15

b. first you rearrange the terms to -3y+5=6, then you subtract 5 from each side so it's 3y = 1. then divide both of the equation by the same term ( -3) to get y= -1/3. so 5 - 3y² = ..... 3× -1/3 = -1 and -1² = -1 so 5 - (-1) = 6

the length of a rectangular house is two and a half times its width. Solve the problem using x to denote the shorter side of the rectangle.
a) construct the expression for the area or the rectangle in terms of x

b) calculate the area if x=32 feet

Answers

answer

a.) y=2.5x

area=2.5x^2

b.)2560

Step-by-step explanation:

a.  The construct the expression for the area of the rectangle in terms of x is y=2.5x

b. The area should be 2,560.

Given that,

the length of a rectangular house is two and a half times its width.

Based on the above information, the calculation is as follows:

a) The expression should be y = 2.5x

b) The area should be

[tex]=2.5x^2\\\\= 2.5(32)^2[/tex]  

= 2560

Learn more: https://brainly.com/question/1301963?referrer=searchResults

Simplify the expression 7h+​(−8.3d​)−13+6d−2.9h.

Answers

Answer:−2.3d+4.1h−13

Step-by-step explanation:

Mr.Plump lost 30 pounds from his original weight of 240 pounds. What percent weight loss did her achieve?

Answers

Answer:

12.5%

Step-by-step explanation:

I divided 30 (the amount he lost) by 240 (his original weight). I get 0.125, but need to move the decimal over 2 places to get the percentage.

12.5 because when you divide 30 by 240 you get 0.125 but all I had to do is move the decimals 2 spaces over and that would change the answer too 12.5


For what value of x does 32X – 9^3x-4?

Answers

Answer: X = 4/61

Step-by-step explanation

Suppose X ~ N(6.5, 1.5), and a
3.5. Find and interpret the Z-score of the standardized normal random variable.

Answers

Answer:

Step-by-step explanation:

Simplify the expression.

−6−7

Answers

Answer:

-13

Step-by-step explanation:

subtract 7 from -6

Answer: -13

Step-by-step explanation: When you have two numbers with negative signs, you add them but you keep the negative sign.

Therefore, -6-7 = -13

For the future, know these rules for signs when adding, subtracting, dividing and multiplying:

When adding two negative numbers, you add but keep the negative sign like in the above problem.

When adding a positive and negative, you subtract but keep the sign of the highest number. Example: -4+9 = 5 or -11+3 = -8.

When multiplying two negatives or positives numbers, the answer will be positive. When multiplying negatives x positive = negative.

The same applies to division. (-)/(+) = (-) or (+)/(-) = (-)

                                                 (-)/(-) = (+)

Hope this explanation and rules help.

Estimate the product of 54 X 68.​

Answers

Answer:

54 X 68=3672

Step-by-step explanation:

use technology to find points and graph the line x - 3y = -6​

Answers

(0,2) is one of the points you could plot

Find the slope of the line that goes through the points (-4,4) and (4,6)

Answers

Answer:

1/4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-4)/(4-(-4))

m=2/(4+4)

m=2/8

m=1/4

The perimeter of a rectangular is 306 centimeters of the length of the painting is 94 centimeters what is the width

Answers

Answer:

59 centimeters

Step-by-step explanation:

What is the gradient of the graph shown?
Give your answer in its simplest form.

Answers

Answer:

m=3/2

Step-by-step explanation:

Two points are shown

point 1: (0;-3). 4;3. -2-6

point 2: (2;0)

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

[tex]m = \frac{0 - ( - 3)}{2 - 0} [/tex]

[tex]m = \frac{3}{2} [/tex]

Determine if the sequence below is arithmetic or geometric and determine the common difference/ratio in simplest form.




64,16,4,…

This is a (geometric/arithmetic) sequence and the (common ratio/common difference) is equal to ____.

Answers

Step-by-step explanation:

this is clearly not a linear sequence (the terms don't have the same difference).

so, it has to be a geometric sequence.

the common ratio is r.

s2 = s1 × r

16 = 64 × r

r = 16/64 = 1/4

control :

s3 = s2×r

4 = 16 × 1/4 = 4

correct.

Common ratio is 1/4

What is geometric progression ?

A geometric progression or a geometric sequence is the sequence, in which each term is varied by another by a common ratio. The next term of the sequence is produced when we multiply a constant (which is non-zero) to the preceding term. It is represented by:

a, ar, ar2, ar3, ar4, and so on.

Where a is the first term and r is the common ratio.

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 1/4

gives the next term. In other words, [tex]a_n=a_1r^n^-^1[/tex]

Hence, common ratio r = 1/4

To learn more about the geometric progression here:

https://brainly.com/question/29657988

#SPJ7

Help me please, thank you very much.

Answers

Answer:

8.9274

Step-by-step explanation:

you need to square both sides then add it together and then find the square root of the new number

A fair coin is flipped 10 times. What is the probability that exactly 4 of the 10 flips come up heads

Answers

105/2^9

Step-by-step explanation:

The probability of getting a head in a single toss

p=12

The probability of not getting a head in a single toss

q=1−12=12

Now, using Binomial theorem of probability,

The probability of getting exactly r=4 heads in total n=10 tosses

=10C4(1/2)4(1/2)10−4

=10×9×8×7/4! 1/2^4 1/2^6

=2^44⋅9⋅35/24(2^10)

=105/2^9

Answer:

P = 0.205  (20.5%)

Step-by-step explanation:

[tex]f(x)=(10nCr4)(.5)^{4} (.5)^{6} =(210)(0.0625)(0.015625)=0.205[/tex]

Hope this helps

B. Direction: Rewrite the each of the following using EXPONENTS.

Example: Two to the seventh power =2⁷ 7 × 7 × 7 = 7³

5) six with the exponent
6) 10 × 10 × 10
7) 3 × 3 × 3 × 3

Answers

5) 6 with the exponent.

6 can be with any exponent (since you haven't given it) like, 6¹, 6², 6³, 6⁴ etc. But, since the value is not given..it'll most probably be 6¹.

6) 10 × 10 × 10 = 10³

7) 3 × 3 × 3 × 3 = 3⁴

_____

Hope it helps ⚜

5. 6^1
6. 10^3
7. 3^4
I think this is what you’re asking for?
#brainliest

If you will subtract 5.789 from 56.1, what is the difference?

Answers

Answer:

50.311

Step-by-step explanation:

subtract the sum of h and 6 from 4

Answers

4-(h+6)

(4-h)-2

Hope this helps

Yep me pls thanks you so much

Answers

Answer:

32

Step-by-step explanation:

To solve, simply put 4 in place of x. 8 times 4 is 32


4,6,9,...
Find the 8th term.
Find the 8th term.

Answers

Answer:

4, 6, 9, 12, 15, 18, 21, 24.

Step-by-step explanation:

The 8th term is 24.

just +2 (add 2) every time.

What percent of 38 is 12

Answers

[tex]Hiya![/tex]

Sokka is here to help!!

Here's a explanation!

[tex]\frac{38}{100} (12)[/tex]

[tex]=(\frac{38}{100} )(\frac{12}{1} )[/tex]

[tex]=(\frac{19}{50} )(\frac{12}{1} )[/tex]

[tex]=\frac{(19)(12)}{(50)(1)}[/tex]

[tex]=\frac{228}{50}[/tex]

[tex]=\frac{114}{25}[/tex]OR

[tex]4.56[/tex]

ANSWER:

[tex]\frac{114}{25}, OR: 4.56[/tex]

Hopefully, this helps you!!

[tex]Sokka[/tex]

Type the correct answer in the box. Use numerals instead of words. Find the missing side length, x. 18° 18° 20 B D The value of the missing side length labeled as x is _____​

Answers

Answer:

7.2

Step-by-step explanation:

20/12 = 12/x

20x = 144

x = 144/20

x = 7.2

Check to make sure your answer is right:

20/12 = 1.66666666667

12/7.2 = 1.66666666667

2+2 (I have been having a lot of trouble on this

Answers

Answer:

it's 4

Step-by-step explanation:

I hope it helps .....

Answer:

4

Step-by-step explanation:

2+2=4

I'll give a real world problem to help you understand. So pretend that you have 2 cookies on your plate and your sibling has 2 cookies on their plate too. If your siblings gives you their 2 cookies and you add them to your plate, how many cookies are on your plate now? There should now be 4 of them!

Does this help?

An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $6830 and his stock in Company B was worth $2600. The stock in Company A has increased 20% since last year and the stock in Company B has increased 5%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).

Answers

Step-by-step explanation:

An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $6830 and his stock in Company B was worth $2600. The stock in Company A has increased 20% since last year and the stock in Company B has increased 5%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).

Other Questions
Solve the set of simultaneous equations graphically. Use a scale of 1cm = 1 unit on both axes.y=4+x y=1+3x ; 0x6 A spinner with 12 equally sized slices has 5 yellow slices, 3 blue slices, and 4 red slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a yellow or blue slice? What is the sine rule I really like candy canes, do you? you don need to actually chew the bread. you can just break it up into smaller pieces. which variable will you change in your investigation? Which of the following laws requires that disabled students who need individualized education have the leastrestrictive environment possible?A. Air Carrier Access ActB. Rehabilitation ActC. Americans with Disabilities ActD. Individuals with Disabilities Education Act How many chromosomes will there be in a human zygote? some people say failure can lead to sucess do you agree or disagree and why To describe a sequence of transformations that maps triangle. answer all the questions1) Dalton's Desserts made a batch of fresh scones with 9/10 of a pound of butter and 1/5 of a pound of sugar. How much more butter than sugar was used?2) At the dealership where she works, Denise fulfilled 1/2 of her quarterly sales goal in January and another 5/12 of her sales goal in February. What fraction of her quarterly sales goal had Denise reached by the end of February?3) Under very specific instructions, a jeweler made one ring for the queen and one ring for the princess. The gem on the queen's ring weighed 1/2 of a carat and the stone on the princess's ring weighed 1/4 of a carat. How much heavier was the stone on the queen's ring than the stone on the princess's?4) Under very specific instructions, a jeweler made one ring for the queen and one ring for the princess. The gem on the queen's ring weighed 1/2 of a carat and the stone on the princess's ring weighed 1/4 of a carat. How much heavier was the stone on the queen's ring than the stone on the princess's?5) Starting from scratch, Jasper finished 5/12 of a reading assignment Monday afternoon and another 1/2 of it on Tuesday afternoon. What fraction of the reading assignment was done by Tuesday night? In which of the following regions between 1450 and 1750 was christian missionary activity met with the least amount of resistance by non-european states?. A square plywood platform has a perimeter which is 11 times the length of a side,decreased by 42. Find the length of a side. (P = 4L) I need help with pre calculus. Help Please Just solve the question below Solve for percent change: On Monday, Cynthia raised $75 for her charity.On Tuesday, Cynthia raised $95 for her charity. What is the approximatepercent change? * What type of business organization generates the most total sales? General partnership Corporation Sole proprietorship O Partnership O Cooperative Previous? What are two characteristics of switches? (Choose two.) * 1 point A. Switches identify the intended destination of the data that they receive B. Switches cause more data collisions than hubs b C. Switches are capable of sending and receiving data at the same time D. Switches send each packet to all of the computer that are connected to them. if f(x)=4x + 3 find f^-1(x) 1. Christina says the graph for the inequality r < -5 will be the same as the graph for the inequality -5 > r. Do you agree or disagree? Justify your reasoning. (Explain) Seans mother had to make an emergency purchase of a new tire because her tire went flat while she was traveling to the store. She is not sure how much money she has in her checking account. Which method of payment should she use to be financially responsible? She should pay by telephone with her debit card. She should pay with a debit card. She should pay with a credit card. She should pay with a check.