What is the answer to this question? Write an expression in simplest form for the perimeter of a right triangle with leg lengths of 3a to the third power and 4a to the third power.

Answers

Answer 1

Answer:

Step-by-step explanation:

Since the length of both legs of the right angle triangle are given, we would determine the hypotenuse, h by applying Pythagoras theorem which is expressed as

Hypotenuse² = one leg² + other leg²

Therefore,

h² = (3a)³ + (4a)³

h² = 27a³ + 64a³

h² = 91a³

Taking square root of both sides,

h = √91a³

The formula for determining the perimeter of a triangle is expressed as

Perimeter = a + b + c

a, b and c are the side length of the triangle. Therefore, the expression for the perimeter of the right angle triangle is

√91a³ + (3a)³ + (4a)³

= √91a³ + 91a³


Related Questions

Aiden buys six packs of baseball cards. Each pack contains nine baseball cards. He already has 242 baseball cards at home. Is it reasonable (does it make sense) to say that Aiden has around 300 baseball cards now? Why or why not?

Answers

Step-by-step explanation:

No of packs = 6

Cards in a pack = 9

Total cards = 9 x 6 = 54

1) Use the factor theorem to determine if 3x-4 is a factor of f(x)=3x^2+2x-8

2) Find the value of K so that x+6 is a factor of 6x^3+kx^2-7x-6

Answers

Step-by-step explanation:

put f(4/3)= 3(4/3)^(2) +2(4/3)-8 =0

so 3x-4 is a factor

similarly, k=35

To make sandwiches for a picnic, Amy buys 1 loaf of bread for $4.19 and 4 pounds of turkey at $6.95 per pound. Amy calculates the total cost as $31.99.

Which equation best shows whether or not Amy’s estimate is reasonable?

It is reasonable because 4 + 1 + 4 × 6 = 29.
It is reasonable because 4 + 4 × 7 = 32.
It is not reasonable because 4 + 1 + 4 + 6 = 15.
It is not reasonable because 4 + 4 × 7 = 56.

PLEASE AWNSER ASAP I WILL GIVE BRAINLIEST

Answers

Answer:

I am sure it is because 1×$4.19+4×$6.95=$31.99. do it yourself. you will see.

What is the domain of the function y = log(x +
3)?
(-0,00) (-0,00)
(-00,-3)
(0,00)
(-3,00)
DONE

Answers

Answer:Find the domain of y = log(x + 3)

Logarithms can only be taken for positive numbers. So you must have

x + 3 > 0

x > – 3          ✔

So the domain of the function is

D = {x ∈ R:  x > – 3}

or using the interval notation

D = (– 3, +∞)

I hope this helps :).

SOLVE USING ELIMINATION *20 POINTS*


1. 3x - y = 28

3x - y = 14


a. (8,-4)

b. (-7,7)

c. (7,-7)

d. (-4,8)


2. x+ 4y 13

2x + 3y 6


a. (3,5)

b. (-3,4)

C. (4,5)

d. (4,4)


3. 12r-9y 30
6x + 15y = 54


A. x = 4 and y 2

B. x = 2 and y = 4

C. x = 14 and y 2

D. x = 37/7 and y =26/7







4. x + 3/2 y = -3




6/7x + 7y = -8


A. (27/8, -1/4)

B. (9/2, -5)

C. (-3/11, -10/11)

D. (-63 / 40, -19/20)

Answers

1. No answer ( may be due to incorrect question)

2. x = -3

y = 4

3. x= 4

y = 2

4.x = -63/40

y= -19/20

Step 1

Multiply equation 1 by the coefficient of x in equation 2

Multiply equation 2 by the coefficient of x I'm equation 1

(after completing this step you will derive equation 3 and 4 )

Step 2

Subtract equation 4 from equation 3

Step 3

Divide both sides of the equation by the coefficient of y

Step 4

substitute your value for y in equation 1 or 2

(after this you will derive the values of x)

Note : This method is for the Elimination of x

I hope it helps

Answer: A.  X = 11

Step-by-step explanation:

x - 7 = 4

11 - 7 = 4

A salsa recipe uses green pepper, onion, and tomato in the extended ratio 2 : 5: 9. How many cups of onion are needed to make 160 cups of salsa?

Answers

Answer:

50 cups

Step-by-step explanation:

So rewrite the ratio to be 2x : 5x : 9x

16x = 160

x = 10

5 * 10 = 50

This is only right if the 5 in the ratio is for onions.

The equation of the circle with center (3, -2) and radius 7 is
(X blank) + (y blank)


Answers

Answer:

Step-by-step explanation:

(x-3)^2 + (y+2)^2 = 7^2

Answer:

[tex] (x - 3)^{2} + { (y + 2)^{2} = 49[/tex]

Step-by-step explanation:

Center of the circle = (3, - 2) = (h, k)

Therefore, h = 3, k = - 2

Radius r = 7

Equation of circle in centre radius form is given as:

[tex](x - h)^{2} + {(y - k)}^{2} = {r}^{2} \\ \therefore \: (x - 3)^{2} + { \{y - ( - 2) \}}^{2} = {7}^{2} \\ \red{ \boxed{ \bold{\therefore \: (x - 3)^{2} + (y + 2)^{2} = 49}}}[/tex]

can somebody help with number 4 asap please

Answers

Answer:

x ≈ 41

Step-by-step explanation:

All the angles in a quadrilateral add together to equal 360°

So set up the equation:

a + b + c + d = 360°

Now fill in the values we know:

x + _ + 4x + 2x - 10 + 85 = 360

7x + 75 = 360

Now subtract both sides by 75:

7x + 75 - 75 = 360 - 75

7x = 285

Divide both sides by 7:

7x / 7 = 285 / 7

x = 40.714

Round:

x = 41

Now to check our answer, substitute 41 for x in the equation:

(41) + _ + 4(41) + 2(41) - 10 + 85

(41) + 164 + 82 - 10 + 85 = 362

The answer is close to 360, so we know it is correct

Answer:

x=40 and

+_ is 5

Step-by-step explanation:

Sum of the angles of any quadrilateral is 360.

4x +2x-10 +85 +x+_ = 360 combine like terms

7x + 75 = 360 subtract 75 on each side

7x = 360-75

7x = 285 divide by 7

x = 40.71

Now plug in back into equation x = 40:

4*40+ 2*40 -10 + 85 +40 + _  = 360

missing number is +5

If r = 10 and s = 31, find R. Round to the nearest tenth

Answers

Answer: c 17.9°

Step-by-step explanation:

Answer:

the answer is c

Step-by-step explanation:

I took the test

How do you answer the picture below?

Answers

Answer:

42cm²

Step-by-step explanation:

because if the perimeter of the rectangle is 28 then the length is 5, 5 - 11 = 6, the formula for finding the trapezium is to add the 2 parallel sides, half them, then times them with the length so your sum will look like this, 5+9=14, (i knew the other side was 9 as the length of AB is the same as the length of FC, which is the one of the parallel sides of the trapezium) then we do 14÷2=7, finally we times 7 by 6 which is 42cm²

helpp plzzz pt.3 yeahh​

Answers

AB = 4.5

Step-by-step explanation:

We can cross multiply the sides in order to find the length of AB. Make sure you don't go diagonal, so you can't do 3/6. You can do 3/4 and 3/x, then match it to the same pattern.

This is the one I chose...

[tex]\frac{4}{3} =\frac{6}{x}[/tex]

Notice how I put them in the same order.

Now we can cross multiply...

[tex]4*x[/tex]

= 4x

[tex]6*3[/tex]

= 18

[tex]4x=18[/tex]

Divide by 4.

x = 4.5

The length of AB is 4.5.

Factorise fully
x^3-x

Answers

Answer:

x(x + 1)(x - 1)

Step-by-step explanation:

[tex] {x}^{3} - x \\ = x( {x}^{2} - 1) \\ x(x + 1)(x - 1) \\ [/tex]

Ari thinks the perfect milkshake has 3 ounces of caramel for every 5 scoops of ice cream. Freeze Zone makes batches of milkshakes with 6 ounces of caramel and 8 scoops of ice cream.
What will Ari think about Freeze Zone's milkshakes?
Choose 1 answer:



A
They have too much caramel.


B
They have too little caramel.


C
They are just right.

Answers

A. They have too much caramel
B because it has to much Carmel

HELP ME ASAP I AM GIVING BRAINETEST

Answers

Answer:

1 and 1/6

Step-by-step explanation:

7 / 6 has a greater numerator so simplify to 1 whole and one sixth

find the smallest 4 digit number that is a perfect square and perfect cube

Answers

Answer:

1024 is the smallest four digit number which is a perfect square.

Step-by-step explanation:

So the least number to be added to 1000 is 24. Therefore, 1000+24 = 1024 is the smallest four digit number which is a perfect square.

Answer:

1024

Step-by-step explanation:

So the least number to be added to 1000 is 24. Therefore, 1000+24 = 1024 is the smallest four digit number which is a perfect square.

PLZ MARK ME BRAINLIEST

In the diagram, which pair of angles are alternate interior angles?
5/6
1 2
43
8/ 7
22 and 25
21 and 27
25 and 23
27 and 24

I needs halp​

Answers

the 5,6,7 answer choice

What is the square root of 25

Answers

Answer:

the square root of the number 25 is 5

Step-by-step explanation:

Answer is 5
Proof: 5 x 5= 25

Plz mark as brainleast plzzz

A cylindrical container has a radius of 3 centimeters and a height of 12 centimeters. The container is filled with water up to the height of 7 centimeters. Find the volume of empty space in the cylinder.

Answers

Answer:

volume of empty space = 141.3 cm³

Step-by-step explanation:

volume of empty space = volume of the cylinder - volume of water

First, we need to calculate the volume of the container

volume of a cylinder = πr²h

 where r = radius of the container   and   h is the height of the container

r = 3cm  and h = 12 cm    π is a constant which is ≈ 3.14

volume of a cylinder = πr²h

                                  =3.14 × 3²×12

                                   =3.14×9×12

                                    =339.12 cm³

We will proceed to find the volume of water

since liquid will take the shape of its container,

then volume of water =  πr²h

r is the radius of the container   and    h is the height of the water

r = 3cm    and   h = 7cm      

volume of water =  πr²h

                             = 3.14 ×3²×7

                              =3.14×9×7

                              =197.82 cm³

volume of empty space = volume of the cylinder - volume of water

                                          =339.12 cm³    -    197.82 cm³

                                          = 141.3 cm³

OR

WE CAN SOLVE DIRECTLY

height of empty space = height of container - height of water

                                       = 12 - 7

                                        =5 cm

volume of empty space = πr²h

                                        =3.14×3²×5

                                        =3.14×9×5

                                         =141.3 cm³

volume of empty space = 141.3 cm³

The volume of the empty space in the cylinder is equal to the difference between the volume of the cylinder and the volume of water in the cylinder.

The volume of the cylinder can be calculated using the formula:

V = πr^2h

where V is the volume, r is the radius, and h is the height.

Substituting the given values, we get:

V = π(3 cm)^2(12 cm)

V ≈ 339.3 cubic centimeters

The volume of water in the cylinder can be calculated by multiplying the cross-sectional area of the cylinder by the height of the water:

V_water = πr^2h_water

where V_water is the volume of water and h_water is the height of the water.

Substituting the given values, we get:

V_water = π(3 cm)^2(7 cm)

V_water ≈ 197.9 cubic centimeters

Therefore, the volume of empty space in the cylinder is:

V_empty = V - V_water

V_empty ≈ 339.3 - 197.9

V_empty ≈ 141.4 cubic centimeters

So, the volume of empty space in the cylinder is approximately 141.4 cubic centimeters.

How long is the wire that supports the tree?

Answers

Answer:

¿Qué alternativas habrías planteado para evitar la expansión de las guerrillas en todo el territorio colombiano?

Answer:

2.3 ft

Step-by-step explanation:

i looked it up on boogle.

Plsss help (Cuz i'm dumb:D) Calculate the surface area of the prism below, shape below

Answers

Surface area of the the rectangles:
8 * 5 + 8 * 4 + 8 * 3 = 96

Surface area of the two triangles:
Use bh/2 base time height over 2
(4 * 3)/2 = 6
There are 2 triangles, 2 * 6 = 12

12 + 96 = 108

the measure angles of a hexagon are 4x,5x,6x,7x,8x,and9x calculate the size of the smallest angle

Answers

Answer:

Step-by-step explanation:

Sum of interior angles of polygon = (n -2) * 180

Sum of interior angles of hexagon =  (6-2)*180 = 4* 180 = 720

4x + 5x +6x +7x + 8x +9x = 180

39x = 180

x = 180/39

x=4.61

Smallest angle = 4x = 4*4.61  = 18.44

What are the solutions to the quadratic equation x? - 16 = 0?
N
OX= 2 and x = -2
O X= 4 and x = -4
O x = 8 and x = 8
OX= 16 and x = -16

Answers

Answer:

[tex]x^2 = 16[/tex]

[tex]x = \pm 4[/tex]

Thus the answer is (b)

The solutions to the given quadratic equation are +4 and -4. Therefore, the option B is the correct answer.

What is the solution of a quadratic equation?

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

The given quadratic equation is x²-16=0.

Now, x²=16

x=±√16

x=±4

x=+4 or x=-4

Therefore, the option B is the correct answer.

To learn more about the solution of quadratic equation visit:

https://brainly.com/question/18305483.

#SPJ7

Sample space of S{A, B, C, F, G, M, T, Z}, subset A{A, G, M}, subset B{A, B, F, G, T, Z). Determine AUB.

Answers

AUB means combination of elements in A and B without writing one element twice

AUB={A,B,F,G,M,T,Z}

Which rules could describe the rotation? Select two options

Answers

Find the price and quantity
Qs=p2 + 2ps-15

Parallel lines t and u are cut by two transversals, r and s, which intersect line u at the same point.

What is the measure of angle 2?
25°
42°
46°
88°

Answers

Answer:

42

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

hope this helps!

A yearbook staff has 30 members. In how many different ways can an editor, photographer, designer, and advisor be selected?

Answers

Answer:

the answer is 30 different ways

Step-by-step explanation:

Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the population of potential clientele have head breadths that are normally distributed with a mean of 6.5-in and a standard deviation of 1-in. Due to financial constraints, the helmets will be designed to fit all men except those with head breadths that are in the smallest 1.9% or largest 1.9%. a) What is the minimum head breadth that will fit the clientele? b) What is the maximum head breadth that will fit the clientele?

Answers

Answer:

a) min = 4.4251

b) max = 8.5743

Step-by-step explanation:

Given:

Mean, u = 6.5

Standard deviation = 1

To get our values, we are to use the inverse of the standard normal table.

a) The minimum head breadth that will fit.

P(Z < z) = 1.9%

P(Z < z) = 0.019

P(Z < -2.0749) = 0.019

z = -2.0749

From the z-score formula, we have:

[tex] \frac{x - \mu}{\sigma} = Z_0_._0_1_9 [/tex]

Let x be the breath of heads.

Making x the subject of the formula, we have:

[tex] x = z * \sigma + \mu [/tex]

We already have:

z = -2.0749

u = 6.5

s.d = 1

Substituting figures, we have:

x = (-2.0749 * 1) + 6.5

x = 4.4251

The minimum head breadth that will fit the clientele is 4.4251

b) The maximum head breadth that will fit.

P(Z > z) = 1.9%

1 - P(Z < z) = 0.019

P(Z < z) = 1 - 0.019 = 0.981

P(Z < 2.0749) = 0.981

From the z-score formula, we have:

[tex] \frac{x - \mu}{\sigma} = Z_0_._0_1_9 [/tex]

Let x be the breath of heads.

Making x the subject of the formula, we have:

[tex] x = z * \sigma + \mu [/tex]

We already have:

z = 2.0749

u = 6.5

s.d = 1

Substituting figures, we have:

x = (2.0749 * 1) + 6.5

x = 4.4251

x = 8.5743

The maximum head breadth that will fit the clientele is 8.5743

| 2p -1 | =45, what are the values of p?

Answers

Answer:

p = 23       and p = -22

Step-by-step explanation:

| 2p -1 | =45

Absolute value equations have 2 solutions, one positive value and one negative

2p-1 = 45    and 2p-1 = -45

Add 1 to all sides

2p-1+1 = 45+1    and 2p-1+1 = -45+1

2p = 46                        2p = -44

Divide by 2

2p/2 = 46/2    and   2p/2  = -44/2

p = 23       and p = -22

Jake made a wooden cone with a diameter of 6 inches and a height of 4.5 inches. What is the volume of this cone?

Answers

Answer:

42.42in³

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cone

Step one

We know that the volume of a cone is

V= 1/3πr²h

Given data

Diameter d= 6 inches

Radius r= diameter/2= 6/2= 3 inches

Height h = 4.5 inches

Step two

Substituting our given data we have

Volume = 1/3*3.142*3²*4.5

V= 1/3*3.142*9*4.5

V= 127.251/3

V= 42.42in³

NEED HELP ASAP 20 MINUTES LEFT ON TIMER

Simplify:

28x^4 over 27 divided by 20 over 24x^3

Answers

Answer:

(56/45)x^7

Step-by-step explanation:

28x^4            20

----------  ÷  -----------  becomes

    27          24x^3

28x^4         24x^3

----------  *  -----------   if we invert the divisor fraction and then multiply.    

    27            20

We get:           (28)(24)

                      -------------- x^7

                        (27)(20)

which reduces to (7)(24) x^7            (7)(8)x^7

                             ---------------    =    -------------  =  (56/45)x^7

                                 27(5)                  9(5)

Answer:

(56/45)x^7

Step-by-step explanation:

28x^4            20

----------  ÷  -----------  becomes

   27          24x^3

28x^4         24x^3

----------  *  -----------   if we invert the divisor fraction and then multiply.    

   27            20

We get:           (28)(24)

                     -------------- x^7

                       (27)(20)

which reduces to (7)(24) x^7            (7)(8)x^7

                            ---------------    =    -------------  =  (56/45)x^7

                                27(5)                  9(5)

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