one leg of a right triangle is 6 inches longer than the other leg, and the hypotenuse is 30 inches. find the lengths of the legs of the triangle.

Answers

Answer 1

one leg of a right triangle is 6 inches longer than the other leg, and the hypotenuse is 30 inches. Thus,

The lengths of the legs of the triangle are 18 inches,24 inches and  30 inches.

What is triangle?

Three vertices make up a triangle, a three-sided polygon. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.

Given that,

one leg of a right triangle is 6 inches longer than the other leg.

hypotenuse is 30 inches.

Let assume, the other leg be x

It is given that, one leg of a right triangle is 6 inches longer than the other leg. So, One leg = x + 6

Since it is a right angled triangle,

h² = p² + b²

Where, h = hypotenuse

p = perpendicular

B = Base

So, (30)² = (x+6)² + x²

or, x = -24, 18

As, the length of side cannot be negative so x becomes 18.

Thus, x + 6 = 18 + 6 = 24 inches

Hypotenuse = 30 inches

Hence, the lengths of the legs of the triangle are 18 inches, 24 inches and  30 inches.

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Related Questions

Help with this real fast

Answers

It is growing exponentially so this is non linear function of squares of given negative numbers.

What is function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

Four main categories can be used to classify different sorts of functions. One to one function, many to one function, onto function, one to one and into function—all based on the element. A relation between a domain and range is called a function when each value in the domain only has one value in the range.

Here,

0²=0

-1²=1

-2²=4

-3²=9

Hence, It is a nonlinear function of the squares of the given negative numbers because it is growing exponentially.

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Please help need an answer by tonight :(

Rewrite x^2+4x−20=−8
in the form (x−p)2=q

Answers

Step-by-step explanation:

then we do the multiplications and compare :

(x - p)² = q

x² - 2px + p² = q

x² - 2px + p² - q = 0

our target is

x² + 4x - 20 = -8

x² + 4x - 12 = 0

now we compare the variable expression with the target.

x² = x² check

4x = -2px

4 = -2p

p = -2

-12 = p² - q = 4 - q

-16 = -q

q = 16

so, we have

(x - -2)² = 16

(x + 2)² = 16

Pls help due today!!!!! -

Answers

Answer:

-3<2-y<-1

Step-by-step explanation:

1/5 1/y and 1/3 y is

Select all of the equations that are true.

823÷418=2110

1112÷834=11135

256÷314=319

1223÷614=2275

123÷112=1

Answers

There are no equations that 's suitable.

What is Equation?

A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation. as in 3x + 5 Equals 15, for instance.

Equations come in a variety of forms, including linear, quadratic, cubic, etc.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.

To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. The statement is not an equation if there is no "equal to" symbol in it.

According to our question-

823÷418=2

1112÷834=1.333333333

Hence, There are no equations that 's suitable.

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Eli brings 6 3/5 pizzas to a party. His friends eat 5 7/10 pizzas. Peng shows up with 2 3/4 pizzas. How many pizzas are there now?
A. 2 13/20
B. 2 15/20
C. 3 13/20
D. 3 18/20

Answers

The number of pizzas there now will be 3 ¹⁷/₂₀. Then the correct option is D.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Eli brings 6 3/5 pizzas to a party. His companions eat 5 7/10 pizzas. Peng appears with 2 3/4 pizzas.

⇒ (6 + 3/5) - (2 + 3/4)

⇒ (33 / 5) - (11 / 4)

⇒ (132 - 55) / 20

⇒ 77 / 20

⇒ 3 ¹⁷/₂₀

The number of pizzas there now will be 3 ¹⁷/₂₀. Then the correct option is D.

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Option D in the correct form is given below.

D. 3 17/20

solve for u. u/4-8=20

Answers

Answer:

u = 112

Step-by-step explanation:

u/4-8=20

u/4 - 8 + 8 = 20 + 8  ==> add 8 on both sides to isolate u

u/4 = 28

4 * u/4 = 4 * 28  ==> multiply by 4 on both sides to isolate u

u = 112

Comparing Guy montage and Harrion Bergeon and eeing how they are different, imilar and the negative reult of their dytopian world and their contrating fate

Answers

Montag serves as a metaphor for free thought in Fahrenheit 451. Guy doesn't fit in with society as Beatty or Mildred do.

In what ways is Harrison Bergeron's society like to our own?

Although the parallels are subtle, there are some similarities between the modern world and the setting of "Harrison Bergeron" in the narrative. Egality is a topic that both of them address and that has issues and effects. Another resemblance is the conflict that results from competition and attempts to stop it from happening, both of which cause issues.

Which aspects of society are Harrison Bergeron's writings critical of?

The manipulative and desensitizing impact of the mass media is one political practice in American culture that the short story "Harrison Bergeron" might be seen as an oblique indictment of. overregulation of some human actions. restricting freedom of speech

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You have a recipe that indicates to use 7 parts of sugar for every 4 parts of milk. You use 28 cups of sugar how much milk do you need

Answers

You'll need 16 parts of milk and sugar.

What is unitary method ?

Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.

Create a square on paper by using a pencil. Tw dimensions make it up. A shape's area on paper is the space it takes up.

Imagine that your square is made up of smaller unit squares.

The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.

To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.

Hence, You'll need 16 parts of milk and sugar.

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he
2
2
63
Paula is standing on a bridge that is 110 above
the water below. She throws a pebble over
the edge of the bridge, and it hits the top of a
24 foot high bridge guard. The quadratic
equation that models the path of the pebble is:
p(t) = -16t² + 48t + 110
such that t is the time in seconds and p is
the height of the pebble.
What is the maximum height of the
pebble?
A) 2 feet
(B) 146 feet
C110 feet
D) 210 feet

Answers

Answer:

  (B) 146 feet

Step-by-step explanation:

You want to know the maximum height of a pebble whose height is described by p(t) = -16t² + 48t + 110.

Vertex form

We can write the equation in vertex form as follows:

  p(t) = -16(t² -3t) +110

  p(t) = -16(t² -3t +2.25) +110 +16(2.25)

  p(t) = -16(t -1.5)² +146

This shows the vertex of the quadratic curve to be (1.5, 146).

The maximum height of the pebble is 146 feet.

What is the length of OP’ if the scale factor of the dilated segment is 2.5?

A. 10cm
B. 2.5cm
C. 6.5 cm
D. 7.5 cm

Answers

The answer is B (2.5)

convert 7 1/2 cup to tbsp

Answers

The conversion of the units is 7 1/2 cup is 112.5 tbsp

How to convert the units?

From the question, we have the following parameters that can be used in our computation:

convert 7 1/2 cup to tbsp

This can be represented using the following equation

7 1/2 cup = x tbsp

Express as decimal

x tbsp = 7.5 cups

1 cup = 16 tablespoons

So, we have the following representation

x tbsp = 7.5 * 15 tablespoons

Evaluate

x tbsp = 112.5 tablespoons

Hence, the conversion is 112.5 tablespoons

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What is the measure of c and b

Answers

Answer:

Step-by-step explanation:

im not 100% sure but probly 135

Answer:

angle c and b are 137 degrees both

Step-by-step explanation:

given angle is 43° and when subtracted from 180°

we have 137°.

using the alternative angle property the angle b is also 137°.

Amy is considering visiting her new friend at one of his beach houses in Florida. She really loves the warm weather, so she would like to choose to go somewhere with a high median temperature, anda small interquartile Which place should she choose to visit? Ft. Meyers Jacksonville Beach Destin Pensacola Beach 70 75 80 85 90 95 100 70 75 80 85 90 95 100 A) Ft. Meyers B Jacksonville Beach C Destin (D Pensacola Beach

Answers

Amy is considering visiting her new friend at one of his beach houses she chooses to visit  Destin and 85.

Amy is considering visiting her new friend at one of his beach houses in Florida.

She really loves the warm weather,

So she would like to choose to go somewhere with a high median temperature, and a small interquartile range.

We have to determine the place should she choose to visit.

Interquartile range :

The interquartile range is a measure of where the middle fifty is in a data set.

Destin HI 70 75 80 85.

Here She can choose the 4th position and which is 85.

The only one that passes 85.

Amy is considering visiting her new friend at one of his beach houses she chooses to visit Destin and 85.

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Explain step-by-step how to simplify -5(2x - 3y + 6Z - 10)

Answers

Answer:

-10x + 15y - 30z + 50

Step-by-step explanation:

apply the distributive property

-10x + 15y - 30z + 50

What kind of function best models each situation?
Cate started with $0 in her account. After one week Cate saved $1; after two weeks she saved $4; after three
weeks she saved $9; and after four weeks she saved $16.

Answers

The function representing the given situation will be f(x) = x², where x is the number of week.

What is function?

A function is defined as a relation between a set of inputs having one output each.

Given that, Cate started with $0 in her account. After one week, Cate saved $1; after two weeks she saved $4; after three weeks she saved $9; and after four weeks she saved $16.

As we see,

In 1 week the amount is $1

In 2 week the amount is $4

In 3 week the amount is $9

Which is showing that the amount is square of the week.

Hence, we can write the function as f(x) = x², where x is the number of week.

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PLEASE HELP!! WILL GIVE BRAINLIEST AND 13 POINTS!!

Solve for x

A. 10

B. 100

C. 64

Answers

Answer: 10

Step-by-step explanation:

Using the Pythagorean theorem,

[tex]6^2 + 8^2=x^2\\\\36+64=x^2\\\\100=x^2\\ \\ x=10[/tex]

What is 467 x 6 method

Answers

Answer:

2,802

Hope this helps :)

Step-by-step explanation:

1. Multiply the numbers.

467

× 6

2,802

2. Check.

2,802 ÷ 6 = 467 ✓

How many full cae and additional item are needed to fulfill the order?

80 item ordered item per cae

Answers

In linear equation,2 is the number of cases and the number of additional units.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                                  Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

13 cases of 6 units each = 78

Additional units = 2

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The complete question is -

80 units needed, 6 units per case. What is the number of cases and the number of additional units?

Pls help I inserted a picture and have one last chance ALSO IT HAS TO BE IN A INEQUALITY

Answers

If angles of a triangle add up to 180° then we should do 9×10 then take away 180 from the result


9x10= 90°
180°- 90°= 90°


Because if you add 90+90= 180

what is y=5x-4? Explain

Answers

Answer:

It is a LINEAR FUNCTION with the form Y = mX + B where m is the slope

Step-by-step explanation:

Answer:

Slope-intercept form

Step-by-step explanation:

Given equation,

→ y = 5x - 4

Now it is in the form of,

→ y = 5x - 4

→ y = mx + b

(Slope-intercept form)

It is Slope-intercept form.

What is the percent of increase from 37.5 to 73.2?

Answers

Answer:35.7


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Find the x- and y-intercepts of the graph of −2x+y=36. State each answer as an integer or an improper fraction in simplest form.

Answers

Answer:

Step-by-step explanation:

y= 2x+36

x=36

what's the GCF of 3a+5a

Answers

The common factor, in this case, is a, so the GCF is still a.

What is the greatest common factor (GCF)?

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share. For example, 12, 20, and 24 have two common factors: 2 and 4. The largest is 4, so we say that the GCF of 12, 20, and 24 is 4.

To find the greatest common factor (GCF) of two or more terms, we need to factor each term and then identify the factors that are common to both terms.

In this case, we have the terms 3a and 5a. To find the GCF, we can factor each term as follows:

3a = 3a

5a = 5a

The only common factor between the two terms is a, so the GCF of 3a and 5a is a.

Alternatively, we could have written the terms as:

3a = 3 * a

5a = 5 * a

Hence, The common factor, in this case, is a, so the GCF is still a.

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Divide negative 3 and one-sixth ÷ negative 8 and two-fifths.


252 over 95

95 over 252

51 over 30

30 over 51

Answers

The value of the expression divide negative 3 and one-sixth ÷ negative 8 and two-fifths is 95 over 252. Option B

What is a fraction?

A fraction can be defined as the part of a whole item, number or element.

The several types of fractions are;

Simple fractionsProper fractionsImproper fractionsMixed fractionsComplex fractions

From the information given, we have that;

-3 1/ 6 ÷ - 8 2/ 5

Turn into improper fractions

-19/ 6 ÷ 42/ 5

Take the inverse of the divisor and multiply

- 19/ 6 × 5/ 42

95/252

Hence, the value is 95/252

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Answer would be 95 over 252 have a nice day! :)

A stalk of wheat grows at a rate of 4 inches every month. Emerson planted A stalk of wheat when it was initially only 6 inches tall. > Create an explicit formula for this situation.

Answers

Answer: 4x+6

Step-by-step explanation:

We know that the growth rate is 4 inches every month, so let x represent the number of months, so we have 4x.

We know that it was originally 6 inches, so we have +6

So the equation is 4x+6

If you can, please give me a Brainliest, I only need 2 more to become an Ace, thank you!

Find the sale price: Sergio bought a belt that was discounted 43% from an original price of $543.

Answers

Answer: $309.51

Step-by-step explanation:

100% - 43% = 57%

543 times 0.57 = $309.51

Can someone help me with this, I understand nothing and I’m so confused. Been trying to work in this all weekend but I’m stumped.

Answers

Answer:

Try Doing Like this.

If u still need to understand, watch organic chemistry tutor guide or ask tr until u understand.

Will give Brainliest if correct answer!

Identify each description of a quadrilateral as one of the following.
I. a characteristic of parallelograms
II. a condition ensuring a quadrilateral is a parallelogram
III. both I and II
Iv. Neither I nor II

a. two pairs of congruent opposite sides

b. two pairs of congruent opposite angles [III]

c. two pairs of consecutive sides are congruent

d. four congruent angles e. one pair of parallel sides and a pair of congruent opposite sides​

Answers

Answer

l-a

ll-d

lll-c

lV-b

don't think it is completely right but I tried

A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $400 and the daily rate for each partner is $1000. The law firm assigned a total of 16 lawyers to the case and was able to charge the client $11800 per day for these lawyers' services. Write a system of equations that could be used to determine the number of associates assigned to the case and the number of partners assigned to the case. Define the variables that you use to write the system of equations.

Answers

Using system of linear equations, the law firm employed  7 associate and 9 partners

System of Linear Equation

The system of linear equations can be defined as a set of two or more linear equations that have the same variables. Linear equations can be said as the equations of the first order, i.e., the highest power of the variable is 1. Linear equations can have one variable, two variables, or three variables. Thus, we can write linear equations with n number of variables.

In this question, we have to write out two equations and solve for the unknown variable.

let;

x = associatey = partner

x + y = 16 ...eq(i)

400x + 1000y = 11800 ...eq(ii)

From equation 1

x = 16 - y ...eq(iii)

Put eq(iii) into equation (ii)

400(16 - y) + 1000y = 11800

6400 - 400y + 1000y = 11800

6400 + 600y = 11800

600y = 11800 - 6400

600y = 5400

y = 5400 / 600

y = 9

Put y = 9 in equation (i)

x + 9 = 16

x = 16 - 9

x = 7

The firm has 7 associate and 9 partners

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a ball is dropped from a height of 20 feet. each time it drops h feet, it rebounds 0.89h feet. find the total distance traveled by the ball. (round your answer to two decimal places.)

Answers

a ball is dropped from a height of 20 feet. each time it drops h feet, it rebounds 0.89h feet, 343.63 feet the total distance traveled by the ball.

What is distance?

The length of the line connecting any two places is known as their distance from one another. Subtracting the different coordinates will reveal the distance if the two locations are on the same horizontal or vertical line.

h₁ = 20 feet = h

h₂ = 0.89h

h₃ = 0.89²h

h₄ = 0.89³h

...........................

h(n) = 0.89ⁿh

Therefore, total distance travelled = 20 + 2 (0.89h + 0.89²h + 0.89³h +.....)

                                                        = 20 + 2h (0.89 + 0.89² + 0.89³ +.....)

Sum of (h.p)∞ = a/ (1-r)

Where, a = first term = 0.89

r = common ratio = 0.89

total distance travelled = 20 + 2 × 20 ×(0.89) × [1/(1 - 0.89)]

                                      = 343.63 ft.

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How can you find the distance travelled or displacement of an object in a velocity-time graph? PLEASE HELP!!!Which of the following three rights are protected by the Bill of Rights?A. Group of answer choicesB. right to a jury trialC. right to a public educationD. right to bear armsE. right to travel freelyF. right to practice the religion of ones choiceG. right to choose not to serve in the military when caring for a multiparous client who is human immunodeficiency virus (hiv) positive and asking to breastfeed her neonate as soon as possible, the nurse should include which instructions about breast milk in the teaching plan? this image, showing where large blocks of rock quickly detached from an outcrop and fell straight down onto a roadway, illustrates an example of a Which of the following statements is correct based on the number line below?-8-6ABCD-4 -2P200808Q0 2 4668 is to the right of Point Q because it is less than 8.68 is between points P and Q because it is less than 0 and greater than 8.68 is between points P and Q because it is greater than 0 and less than 8.68 is to the right of Point Q because it is greater than 8. How does Chip change as a result of the way Mr. O'Dell teaches?A.He improves his memory.B .He becomes confused.C.He develops enthusiasm.D He loses confidence. Which theatre form tries to capture the inner workings of the human mind by presenting drama from the point of view of the protagonist?. friendships tend to be an important influence in life satisfaction during late adulthood. friends may be more influential than family members for many older adults. which of the following theories supports the idea that as people age, friendships are not formed in order to enhance status or careers, but may be based purely on a sense of connection or the enjoyment of being together ? Which use of iron is due to its chemical properties? Once a tropical storm forms over the ocean, which conditions must exist in its path for it most likely to develop into a hurricane?O warm ocean temperatures, moderate winds, and moist atmospheric layersO cold ocean temperatures, weak winds, and dry atmospheric layersO warm land temperatures, strong winds, and moist atmospheric layersO cold land temperatures, moderate winds, and dry atmospheric layers Louis and Raymond had shared responsibility for liability of their company's debt because they had formed a _____. What molecule is the main carbohydrate fuel molecule burned by all living things? According to Georgia:A desirable home how might the history of Georgia have been different if it were always considered an ideal home for its diverse population?Use at least two details from the passage. What is the midpoint of (1,5) and (7,11) -2x+y=-7 how do you do this problem what word best describes the tone dan pink uses throughout his speech the suprising truth about what motivates us What would you do to encourage more students to attend school, and how would you make schools available to everyone?. What are the two basic beliefs of Confucianism? scientists developed a set of guidelines to address the safety of dna technology. which of the following is one of the adopted safety measures? The iron corrosion, rusting, can be prevented by coating with __________, __________ and __________ .