Write an expression in simplest form for the perimeter of a right triangle with leg lengths of 12a to the power of 5 and 9a to the power of 5.

Answers

Answer 1

Answer:

[tex]36a^5[/tex].

Step-by-step explanation:

In a right angle triangle,

Length of one leg [tex]=12a^5[/tex]

Length of other leg [tex]=9a^5[/tex]

According to the Pythagoras theorem,

[tex]Hypotenuse^2=leg_1^2+leg_2^2[/tex]

Using Pythagoras theorem,

[tex]Hypotenuse^2=(12a^5)^2+(9a^5)^2[/tex]

[tex]Hypotenuse^2=144(a^5)^2+81(a^5)^2[/tex]

[tex]Hypotenuse=\sqrt{225(a^5)^2}[/tex]

[tex]Hypotenuse=15a^5[/tex]

Perimeter of right angle triangle is the sum of all sides of the triangle.

[tex]Perimeter=12a^5+9a^5+15a^5[/tex]

[tex]Perimeter=36a^5[/tex]  units.

Therefore, the required expression is [tex]36a^5[/tex].


Related Questions

Which of the situations describes a temperature of –2 degrees?
2 degrees colder than 1 degree
2 degrees colder than 0 degrees
2 degrees warmer than 1 degree
2 degrees warmer than 0 degrees

Answers

2 degrees colder than 0 degrees because is comes before zero, therefore a negative 2

Answer:

B

Step-by-step explanation:

I need the answer ASAP! Thanks! ❤️

Answers

Strong and positive
Your answer will be sting and positive

(A) 10
(B) 8
(C) 16
(D) 3

Answers

Answer:

8

Step-by-step explanation:

10 to big 16 to large 3 to small 8 just right

0 0 1 2 3 4 4 5 6 6

Which of the following could be the one missing data item for the above
set, if the mode is 4?

OA) 0
OB) 3
OC) 4
OD 5​

Answers

D- I could be wrong

A square pyramid has a base with a total area of 144 m2 and the volume of 384m3, what is the slant height of the pyramid

Answers

Answer:

8m

Step-by-step explanation:

Volume of a square based pyramid is expressed as [tex]V = a^{2} \frac{h}{3}[/tex] where;

a is the base edge

a² is the base area

h is the slant height

Given Volume of the pyramid V = 384m³

Base area a² = 144m²

h =?

On substituting to get the slant  height;

[tex]384 = 144*\frac{h}{3}\\ 1152 = 144h\\h = \frac{1152}{144} \\h = 8m[/tex]

The slant height of the pyramid is 8m

You decide to borrow money to pay for college at 22% interest per year, in 2023.
How much will you owe on a loan of $5,000 in 2027?

Answers

Answer: On  loan of $5000 at that rate, you would be owing $9400

Step-by-step explanation: The loan is being borrowed at an interest rate that is calculated yearly. This is a case of a simple interest. The same amount of interest is calculated and that will be payable per year. The amount borrowed is the principal, and in this instance is $5000. The amount of interest payable is calculated as 22 percent of the principal and is paid yearly. So if a loan (principal amount) of $5000 is borrowed for a period of 4 years (that is, 2023 to 2027), then the interest is calculated for four years.

Hence, the formula for a simple interest computation is given as follows;

Interest = P x R x T

Where P = 5000, Rate = 0.22 (22 percent), and T = 4 (time in years)

Interest = 5000 x 0.22 x 4

Interest = 20000 x 0.22

Interest = 4400

Therefore, from the calculations shown, a loan of $5000 at the rate of 22% borrowed from 2023 to 2027 would have an interest payable of $4,400.

Upon repayment of the loan, you would be owing a total of $9,400 (that is, amount borrowed plus interest owing)

2 Points
Which of the following is an advantage to using graphs and diagrams?
A. They sometimes give you too much information so you must
decide what is relevant to the problem,
O B. They help to visualize the problem.
C. They are always the most useful in any problem.
O D. They are best used alone.
SUB

Answers

Answer:

They help to visualize the problem

Step-by-step explanation:

Members of alachua district choir were asked, when given the choice between romanticism or gothic style singing, which style they preferred to sing for state competition. The data was broken down by gender

Answers

The question is incomplete, so here is the complete question.

Members of alachua district choir were asked, when given the choive between romanticismor gothic style singing, which style they preferred to sing for state competition. The data was broken down by gender:

48 males preferred Romanticism

63 males preferred Gothic

59 females preferred Romanticism

62 females preferred Gothic

Part A: Fill in and complete the following contigency table. Circle the largest  joint frequency and put a box around the smallest marginal frequency.

                    Romanticism         Gothic            Total

Males

Females

Total

Part B: Which style was preferred as the state competition piece and by what percentage?

Part C: Which subject was preferred the most by Males?

Part D: What frequency does 125/232 represent?

Answer and Step-by-step explanation:

Part A:

             Romanticism        Gothic       Total

Males            48                     63            111

Females        59                     62           121

Total              107                   125         232

Part B: The preferred style is Gothic by a percentage of

P = [tex]\frac{125}{232}[/tex]

P = 54%

Part C: According to the table, the style preferred the most by males was Gothic, since 63 males chose it over 48 that chose Romanticism.

Part D: The frequency 125/232 represents the total of people (male AND female) that preferred Gothic over the total of people in both categories.

Which tables display linear functions? Check all that apply.

Answers

Answer:

A,D, First and Last

Step-by-step explanation:

Answer:

All boxes but the top right box are linear.

What is the range of the relation?
[(-4, 3), (-4, 4), (-3, 1), (1, 1)}
{-4, -4,-3, 1}
{-4, -3, 13
{1, 1, 3, 4]
{1,3,4​

Answers

So the right answer is of option D.

Look at the attached picture..

Additional Information:

The second components of a relation is called range

Hope it will be helpful to you. .

The range of the function is {-4, 4, -3, 1}.

What is the range of the function?

The range of a function is a set of all its possible outputs.

The range is the spread of the values of the output of a function. If we are able to calculate the maximum and the minimum values of the function, we can get an idea of the range of the function.

The given relation is;

[(-4, 3), (-4, 4), (-3, 1), (1, 1)}

The range of a function refers to the entire set of all possible output values of the dependent variable.

The range of a function is a set of all its possible outputs.

The range of the function is {-4, 4, -3, 1}.

Learn more about the range here;

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just some math :> and meh needs halp



Answers

Answer:16

Step-by-step explanation:

5 times 2 is 10. 10 times 0 is 0. 1 times 6 is six

"
5 ft
A
13 ft
a.
sin A=7
islam
/
A= 12,
A = 12 sec A
-
12
cos A = 132
n la
12
COS A = 13
CP
5, CSC A =
b.
sin A = , tan A = o, sec A = 1
12
sin A = 13, tan A =
12
5, sec A =
13
12
COS A = 5, cot A = 5, CSC A =
al
5
COS A = 13, cot A = 12, CSC A -

Answers

Answer:

i don't understand what the question is please explain what the question is.

Which equation in point-slope form contains the points (0,5) and (5,8)?
A. y - 8 = (x - 5)
B. y - 5 = (x – 8)
c. y - 8 = {(x - 5)
D. y - 5 = (x – 8)

Answers

I'm going to assume you pasted the question and answers and the fractions for the slope didn't come up.

Solve for the slope using the given values.

Slope formula: y2-y1/x2-x1

= 8-5/5-0

= 3/5

Point slope form: y - y1 = m(x - x1)

Using the point (5, 8) and the slope (3/5), it should look like:

y - 8 = 3/5(x - 5)

Best of Luck!

Does the function model exponential growth or decay?
h(t) = 0.25 - 1.5t
A.) growth
B.) decay

Answers

Answer: it’s growth

Step-by-step explanation:

Amy must choose a number between 55 and 101 that is a multiple of 3, 6, and 7. Write all the numbers that she could choose. If there is more than one number, separate them with commas.

Answers

Answer:

84

Step-by-step explanation:

L.C.M. of 3,6,7=42

42×1=42

42×2=84

42×3=126

55<84<101

What is the volume of the pyramid h=9.6 l=8.5 w=8.5

Answers

Answer:

V = 231.2

Step-by-step explanation:

v = (l * w * h )/3

Answer:

V ≈ 231.2

Step-by-step explanation:

Using the formula: V = 1/3 x L x W x H

PLEASE HELP 35 POINTS!!!!!!


In two or more complete sentences discuss the advantages and disadvantages of investing in a 529 plan versus investing in a money market account.

Answers

Answer:

Step-by-step explanation:

A 529 plan (Qualified tuition plan) is a tax-advantaged savings plan for future education costs while a money market account refers to a investment or a deposit with a financial institution that earns interest based on the current rates.

Money market deposit accounts are better choices than 529 plan for money you might need to tap at a moment’s notice to cover an emergency or an unexpectedly large expense. They pay higher interest than ordinary savings accounts and give you immediate access to your money

While in 529 savings plan, If you don’t use the money invested for college tuition, you will be penalized 10 percent when you withdraw the money to use it for something else. In addition, both your state and the federal government will tax the earnings on your account in your current tax bracket.

The basic advantage of 529 plan over money market account is the tax-advantage that is the amount invested or withdrawn is tax free. It also has high return and funds from it can be used for another beneficiary who is a qualified family member. Whereas the disadvantage is that the 529 plan is a specified fund for future education purposes. This makes it restricted as the fund can not be transferred for a different use. Unlike the money market account whose use is not restricted. It can be withdrawn to meet diverse financial needs including education. More so, funds in the money market account are insured and can be easily accessed.

In essence, the 529 plan is a specific investment while a money market account is more general in nature.

Answer:

im grounded bc i cheated with this

Step-by-step explanation:

The louvre museum is a metal and glass structure that serves as the main entrance to the louvre museum paris, france. The pyramid has a volume of 8820 cubic meters. The base is a square with sides that are 35 meters long. Calculate the surface area of the louvre pyramid

Answers

Answer:

A≈3170.96m²

Step-by-step explanation:

If a polynomial function f(x) has roots 0, 3, and 2+ V5, what must also be a root of f(x)?
-2-sqrt15
2-sqrt15
15-sqrt 2
15+sqrt 2

Answers

Answer:

Option B.

Step-by-step explanation:

Note: Given roots are not in proper format.

Consider the polynomial function f(x) has roots 0, 3, and [tex]2+\sqrt{15}[/tex].

According to irrational root theorem if [tex]a+\sqrt{b}[/tex] is root of a polynomial P(x), then [tex]a-\sqrt{b}[/tex] is also a root of polynomial P(x).

Since [tex]2+\sqrt{15}[/tex] is an irrational root of the function f(x). By irrational root theorem [tex]2-\sqrt{15}[/tex] is also a root of function f(x).

Therefore, the correct option is B.

Answer:

B)

Step-by-step explanation:

Which ordered par Woud form a proportional relationship with the point graphed Below?

A (10,10)
B (25,35)
C (70,50)
D (90,60)​

Answers

D: (90,60) that’s the answer

The polynomial f(x) is written in factored form:
f(x) = (x - 3)(x + 8)(x - 11)
What are the zeros of the polynomial function?
O x = 3, x = 8, x = 11
O x = 3, x = -8, x = 11
OX=-3, x = 8, X = -11
x = -3, x = 3, x = -8, x = 8, x= -11, x = 11

Answers

Answer:

F(x)=(x-3)(x+8)(x-11)=0

(x-3)=0, (x+8)=0, (x-11)=0

X=3

X=-8

X=11

Which function describes the graph shown below?

On a coordinate plane, a curve crosses the y-axis at (0, negative 2), increases to negative 2.5, decreases to negative 2.5, and then increases again.
y = one-half sine (x) minus 2
y = 2 sine (x) minus one-half
y = one-half cosine (x) minus 2
y = 2 cosine (x) minus one-half

Answers

Answer: A

Step-by-step explanation:

The amplitude is .5 and the vertical translation is -2. So, y= 1/2sin(x)-2

Answer:

A. y= 1/2 sin(x)-2

Step-by-step explanation:

Correct in edge 2021!

Find the length of arc KN.
can a genius help me??please​

Answers

Answer:

Length KN = 2π/3 = 2.094

Step-by-step explanation:

Length KN = (mKN/360)2πr

Length KN = (40/360)2π3

Length KN = (1/9)6π

Length KN = 6π/9

Length KN = 2π/3 = 2.094

Half of a sphere is stacked on top of a cone. They both share a circular base. The radius of the circle is 6 millimeters. The height of the cone is 14 millimeters.
What is the volume of the composite figure? Express the answer in terms of π.

144π mm3
168π mm3
312π mm3
456π mm3

Answers

Answer:

312π mm3

Step-by-step explanation: yes

The required volume of the composite figure of the sphere on the top of the cone is 312π mm³. Option c is correct


The sphere is stacked on top of a cone. They both share a circular base. The radius of the circle is 6 millimeters. The height of the cone is 14 millimeters. The volume of the composite figure is to determine.


What is volume?

Volume is defined as the ratio of the mass of an object to its density.

Volume of composite figure =  Volume of semi-sphere  + Volume of cone
                                              =   2/3πr³ + 1/3πr²h
                                              =  2/3*6³π + 1/3*6²*14π
                                              =   312π mm³

Thus, the required volume of the composite figure of the sphere on the top of the cone is 312π mm³.

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If I have a probability of 2/5, what is the percentage of probability.


A. 52%

B. 40%

C. 2.5%

D. 80%

Answers

B 40
2 divide by 5= 0.4 which equals to 40%

Answer: 40%

Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100.

So to write 2/5 as a percent, we need to find a fraction equivalent to 2/5 that has a 100 in the denominator.

We can do this by setting up a proportion.

[tex]So[/tex] [tex]we[/tex] [tex]have[/tex] [tex]\frac{2}{5} = \frac{n}{100}[/tex].

Now, we can use cross-products to find the missing value.

So we have (2)(100) which is 200 is equal to (5)(n) or 5n.

So we have 200 = 5n.

Next, dividing both sides of the equation by 5, we have 40 = n.

So 2/5 is equal to 40/100 or 40%.

2 divided by one over 3 the awnser is a fraction

Answers

Answer:

1/6

Step-by-step explanation:

2/1÷  1/3 (First make 2 a fraction, because 2= 2/1 we will use 2/1)

1/2÷  1/3 (Now we flip the numerator and denominator on a fraction)

1/2 (1/3) (Now we multiply straight across numerator times numerator, denominator times denominator)

1/6 (This is our answer!)

Hope this helped! Stay safe and have a good day or night!

Find the interquartile range (IQR) of the data in the box plot below.

Asap ASAP Please PLZ

Answers

Answer:

3

Step-by-step explanation:

IQR is the difference between the upper and lower medians so the IQR = 7 - 4 = 3

The interquartile range (IQR) of the data in the given box plot is: 3.

What is the Interquartile Range (IQR) of a Data?

In a box plot, the interquartile range (IQR) is the difference between the upper quartile and the lower quartile which are represented as each edge of the rectangular box.

Upper quartile = 7Lower quartile = 4

Interquartile range (IQR) = 7 - 4

Interquartile range (IQR) = 3

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Someone please explain these questions

Answers

Use a graphing calculator

Answer: You find it by using slope

Step-by-step explanation

If the graph is rising from left to right, like climbing a hill, the slope is positive (on a graph, you could count up y units divided by right x units). If it is going down from left to right (like sliding down a hill), the slope is negative (on a graph you have to count down y units and right x units).

ex: y = 5x + 3 is an example of the Slope Intercept Form and represents the equation of a line with a slope of 5 and and a y-intercept of 3. y = −2x + 6 represents the equation of a line with a slope of −2 and and a y-intercept of 6.

Kyleigh put a large rectangular sticker on her notebook.the height of the sticker measures 10 cm. the base is half as long as the height. what area of the notebook does the sticker cover?

Answers

Hey there! Welcome to Brainly! I'm happy to help you!

When we are talking about the height and base, let's use the variables h and b. With the information we have been given, we can make the following equations below.

h=10                     (the height is 10)

b=h/2            (base is half as long as the height)

We see that h is equal to ten. b is equal to h divided by two, so it is therefore ten divided by 2! We take the value for h and the plug it into the second equation!

b=10/2

b=5

So, we now know that the height is 10 cm and that the base is 5 cm. However, we need to find the area. To find the area of a rectangle, we just multiply the base by the height!

10(5)=50

Therefore, the area of the sticker is 50 cm².

I hope that this helps! Have a wonderful day!

NEED HELP ASAP
Find the volume of the cylinder. r measures 7 inches, height measures 8 inches ​

Answers

Answer:

1230.88

Step-by-step explanation:

Volume= pi(r^2)h

Volume=3.14(49)(8)

Volume=1230.88

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Vandy Corporation's balance sheet and income statement appear below: Comparative Balance Sheet Ending Balance Beginning Balance Assets: Cash and cash equivalents $ 31 $ 29 Accounts receivable 61 73 Inventory 59 61 Property, plant, and equipment 684 550 Less accumulated depreciation 349 319 Total assets $ 486 $ 394 Liabilities and stockholders' equity: Accounts payable $ 53 $ 54 Accrued liabilities 20 21 Income taxes payable 52 48 Bonds payable 203 190 Common stock 61 60 Retained earnings 97 21 Total liabilities and stockholders' equity $ 486 $ 394 Income Statement Sales $ 807 Cost of goods sold 492 Gross margin 315 Selling and administrative expense 182 Net operating income 133 Gain on sale of equipment 16 Income before taxes 149 Income taxes 45 Net income $ 104 The company sold equipment for $18 that was originally purchased for $14 and that had accumulated depreciation of $12. It paid a cash dividend of $28 during the year and did not retire any bonds payable or repurchase any of its own common stock. Required: Prepare a statement of cash flows for the year using the indirect method. A large painting on display in a public park shows ancientand modern people working, playing, and dancing together.Both Catholic and traditional Mexican Indian religiousfigures are displayed side by side. In the center, in Spanish,is a written message about freedom.Which artistic movement is most likely associated with this description of animage?OA. The Harlem RenaissanceOB. Tin Pan AlleyOC. NeograffitiOD. The Chicano Movement What is the MOST likely reason the author included the singalong in Boston? (A) to introduce the idea that people are finding new ways to stay connected (B) to explain how social distancing can prevent the spread of the coronavirus (C) to show that Americans were inspired by community events in Italy (D) to demonstrate the effects of governors shutting down restaurants c What is the correct answer? Please how is a food web different from a food chainA. Food webs contains only producers not consumersB. Food webs do not include decomposersC. Food webs exist in aquatic environments food chains exist in terrestrial environments D. Food webs contain many different linked food chains a rectangle has an area of 24m. its length is 5m longer than the width.write an expression for the rectangle's length Identify the measure of arc HD.The figure shows a circle and three secants. Points P, K, L, H, D lie on the circle. Secants R L and K H intersect in the interior of the circle. The measure of formed angle is 92 degrees. Secants D R and L R intersect in the exterior of the circle at point R. The measure of angle D R L is 38 degrees. The measure of the intercepted arc that is closest to the angle is 18 degrees. Secant R L intersects the circle at some point. The measure of arc between this point and point K is 102 degrees. Point P lies on secant R D. identify the literary device: the shores are empires find the volume, help please all numbers are in inches, will mark brainleist Solve for x.-30 = 5(x+1) Suppose that y varies inversely with x. Given x=-3 when y=-105. Find y when x=15 my english hw is getting difficult! A man wants to enter an exclusive club, but he doesn't know the password. Another man walks to the door and the doorman says 12, the man says 6, and is let in. Another man walks up and the doorman says 6, the man says 3, and is let in. Thinking he had heard enough, he walks up to the door and the doorman says 10, he says 5, and he isn't let in. What should he have said? answer this question Find the middle term of the expansion of (x+y)^8 a40x^2y^2 b70x^2y^2 use the following words in sentences of your own. using each word (a)as a noun and (b) as verb . Calculate potential energy of a 5 kg object sitting on 3 meter ledge Which of the following is the primary threat to the spotted owl population in the northwestern USA 11(4t + 1) what is the answer Solve the equation in the image I am giving 25 points Hailey organizes a New Years party. There are 16pastries at the party, 7 of the pastriesare chocolate. What is the relativefrequency probability that a randomlyselected pastry will be a chocolatepastry?