One of the legs of a right triangle is twice as long as the other, and the perimeter of the triangle is 35. Find the
lengths of all three sides, to two decimal places.

i would appreciate if you showed work so i know how you did it!

Answers

Answer 1

Answer:

6.68, 13.37, 14.95

Step-by-step explanation:

One of the legs is twice as long as the other.

b = 2a

The perimeter is 35.

35 = a + b + c

The triangle is a right triangle.

c² = a² + b²

Three equations, three variables.  Start by plugging the first equation into the second and solving for c.

35 = a + 2a + c

c = 35 − 3a

Now plug this and the first equation into the Pythagorean theorem:

(35 − 3a)² = a² + (2a)²

1225 − 210a + 9a² = a² + 4a²

1225 − 210a + 4a² = 0

Solve with quadratic formula:

a = [ -(-210) ± √((-210)² − 4(4)(1225)) ] / 2(4)

a = (210 ± √24500) / 8

a ≈ 6.68 or 45.82

Since the perimeter is 35, a = 6.68.  Therefore, the other sides are:

b ≈ 13.37

c ≈ 14.95


Related Questions

The GCF of 24 and 32 is...

Answers

Answer:

The GCF is 8 there is your anwser

Help how do i do these

Answers

Answer:

Step-by-step explanation: What I would do is make the triangle into a square and what ever is mirroring it i would put that for my answer and then I would round it. I used to do this i don't exactly remember. Sorry if this doesn't help.

HELP ME PLEASE I NEED THIS and tell me how to solve for it

Answers

Answer:

616.6 square cm

Step-by-step explanation:

Area of a regular octagon

[tex] = 2 {a}^{2} (1 + \sqrt{2} ) \\ = 2 \times {12}^{2} (1 + 1.414) \\ = 2 \times 144 \times 2.141 \\ = 288 \times 2.141 \\ = 616.608 \\ = 616.6 \: {cm}^{2} [/tex]

616.6 cm square is the answer

This seller must sell at least 120 newspapers each month. He sold 85 newspapers in the first three weeks of the month. How many more newspapers must he sell by the end of the month? Make an inequality to show this scenario as a math problem, be sure to use the correct symbols, and share your answer!

Answers

Answer:35

120-85=35

120>85

Jill made 20 muffins. She puts them into 3 boxes and has two muffins left. How many are in each box if they all contain the same amount of muffins?​

Answers

Answer:

it would be 6 muffins each and muffins sounds so good right now TwT

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

20-2=18

18÷3=6

Therefore there are 6 muffins in each box

What value of q satisfies this equation?
59 + 5q = 159 - 11

Answers

Answer:

0,454

Step-by-step explanation:

= 59 + 5q = 159q - 11

= 5q - 159q = 11 + 59

= 154q = 70

= q = 70 : 154

= q = 0,454

Answer:

89/5 or 17.8

Step-by-step explanation:

   

The price of an item has been reduced by 55%. The original price was $53. what is the price now

Answers

Answer:

$29.15

Step-by-step explanation:

Step 1:

$53 × 55%

Step 2:

53 × 0.53

Answer:

29.15

Hope This Helps :)

1. Evaluate f(x) = 3x - 1 at f(2) 2. Evaluate f(x) at f(-5) -6 f(x) 3 4 -5 -4 -5 3 3 Evaluate f(x) at (0)​

Answers

Answer:

5

Step-by-step explanation:

3(2)-1

6-1

5

Answer:

5

Step-by-step explanation:

3(2)-1

6-1

5

Simplify the expression. Write your answer as a complex number.

2 times the square root of 25 plus the square root of negative 16

Answers

Answer:

d

Step-by-step explanation:

What's more selfish? Committing Death or forcing someone to stay in a world where they are so unhappy?

Answers

Answer:forcing someone to stay in the world they dont wanna be in

Step-by-step explanation:

Forcing someone to stay in a world they are unhappy in.

____________________ A letter that represents one or more numbers. pick from these: Absolute Value Distributive Property Equation Evaluate Equivalent Simplify Expression Integers Like Terms Inequality Reciprocal Coefficient Variable Solution Ratio

Answers

Answer:

The answer is a Variable

Step-by-step explanation:

In algebra, symbols (usually letters) are used to represent numbers. To solve math problems, you should know what variables and constants are. Here is an introduction to the terms variables and constants. A variable is a letter or symbol used as a placeholder for an unknown value.

I hope this helps you :)

is the product of two rational numbers always a rational number?

Answers

Answer:

Yes, it's always rational.

Step-by-step explanation:

P Mar
1 The table shows pairs of figures that are related to each other in the same way.
Figure 1 Figure 2
Oo
Which conjecture best describes how the second figure in each set is related to the first?
A) Figure 2 is always a horizontal reflection of Figure 1.
B) Figure 2 is always a vertical reflection of Figure 1.
C) Figure 2 is always a 90° clockwise rotation of Figure 1.
D) Figure 2 is always a 180° rotation of Figure 1.

Answers

Is that all the answer choices ? Becaus e

-7=y/-10
Help me, please

Answers

Answer:

70

Step-by-step explanation:

Solve any pre-algebraic equation with inverse operations:

-7 = y/-10

multiply both sides by -10

-7 * -10 = y

now simplify:

remember that multiplying two negatives with result in a positive

70 = y

Which Angel number supplementary to angel to AED

Answers

Answer:

Angle number 5

Step-by-step explanation:

The sum of supplementary angles equal 180°.

Angle AED, in the diagram given is labelled angle 4.

The angle labelled 4 forms a linear pair with the angle labelled 5.

Since a linear pair of angles = 180°, therefore:

m<AED + m<AEI = 180°.

That is:

m<4 + m<5 = 180°.

Both angles are supplementary.

Therefore, angle number 5 is supplementary to angle AED.

-28 + 2x = -18 what is x?

Answers

Answer: x=5

Step-by-step explanation:

To solve for x, we want to use algebraic properties to isolate x.

-28+2x=-18        [add both sides by 28]

2x=10                 [divide both sides by 2]

x=5

Now, we know that x=5.

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \text{x = 5}}}}}[/tex]

Step-by-step explanation:

[tex] \star{ \sf \: - 28 + 2x = - 18 }[/tex]

[tex] \tt{Step \: 1}[/tex] : Move 28 to right hand side and change it's sign

[tex] \hookrightarrow{ \sf{2x = - 18 + 28}}[/tex]

[tex] \tt{Step \:2}[/tex] : Subtract 18 from 28

The negative and positive integers are always subtracted but posses the sign of the bigger integer

[tex] \hookrightarrow{ \sf{2x = 10}}[/tex]

[tex] \tt{Step \: 3}[/tex] Divide both sides by 2

[tex] \hookrightarrow{ \sf{ \frac{2x}{2} = \frac{10}{2}}} [/tex]

[tex] \tt{Step \: 4}[/tex] Calculate

[tex] \hookrightarrow{ \sf{x = 5}}[/tex]

[tex] \tt{∴ \: The \: value \: of \: x \: is \: \bold{5}}[/tex]

[tex] \sf{Hope \: I \: helped !!}[/tex]

[tex] \sf{Best \: regards !!}[/tex]

~[tex] \text{TheAnimeGirl}[/tex]

as a fraction:
(i) 48%
(ii) 220%
(iii) 2.5%

Answers

Answer:

48% = 48/ 100 = 12/25220% = 220/100=11/52.5% = 25/1000 = 1/40
Given Percentage:

i. 48%

ii. 220%

iii. 2.5%

To Convert:

The given percentage into fractions.

Answer:

[tex] \large \purple {\tt {i. \: 48\% = \frac{48}{100} = \frac{12}{25}}} [/tex]

[tex] \large \pink {\tt {ii. \: 220\% = \frac{220}{100} = \frac{11}{5}}} [/tex]

[tex] \large \blue {\tt {iii. \: 2.5\% = \frac{2.5}{100} = \frac{1}{40}}} [/tex]

What is the slope of the equation: y = -3x +7

Answers

The slope of the equation is -3.

Choosing a car that coasts _____ instead of a car that costs _____ means that you’ll have more money available for other purchase. A. $12,000; $11,000 B. $9000; $7000 C. 10,000; $14,000 D. 18,000; $12,000

Answers

Answer:

C. : Choosing a car that costs 10,000 instead of a car that costs 14,000 means that you'll have more money available for other purchases

Step-by-step explanation:

What does an arrow as an endpoint
imply for a function? How does it
effect your domain and range?
I

Answers

Answer:

Step-by-step explanation:

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis

Answer:

It menas that it keeps going.

Step-by-step explanation:

If you have a line with an arrow at the end it means that the numbers keep on going. So say that you had a number line that ended at ten but there is an arrow, this means that there is more or less.

<-                              ->

10 less than ten      10, more than ten.

what is the slope intercept form of the equation 15x-4y=32

Answers

Answer: y = 15/4 x - 8

Step-by-step explanation:

what is the value of y?

Answers

Answer:

y +43⁰ +123⁰ =180⁰

=) y +160⁰ =180⁰

=) y = 20⁰

Answer:

Y = 34

Step-by-step explanation:

y + 43 + 123 = 180

y + 146 = 180

180 - 146. = y = 34

Y = 34

A flower garden is 22.50m long. Sheila wants to make a border along one side using bricks that are 0.25m long. Find the number of bricks needed. a) 9 (b) 90 (c) 900 (d) none of these

Answers

Answer:

  (b)  90

Step-by-step explanation:

Four bricks are needed for each meter of length:

  4 × 22.5 = 90

90 bricks are needed.

You are using a 9 inch paint roller to paint a wall of your bedroom. The roller has a dimension of 1 5/8 inches and a nap thickness of 1/4 inch, as shown

Answers

Answer:

21.38 square inches

Step-by-step explanation:

Given that You are using a 9 inch paint roller to paint a wall of your bedroom. The roller has a dimension of 1 5/8 inches as diameter and a nap thickness of 1/4 inch, as shown

The nap is the fuzzy materials on the surface roller. How much area does the roller cover in one full revelation

The parameters to be considered are:

Diameter = 15/8 inches

Thickness = 1/4 inches

After one revolution rolling, the dimensions of the length will be:

L = 1/4 + 15/8 + 1/4

L = 19/8 inches.

Let the width be equal to 9 inches

The area covered = L × W

Substitute L and W into the formula

Area = 19/8 × 9

Area = 21.38 square inches

Therefore, the area covered by the roller in one full revelation is 21.38 square inches

HELPPP PLEASE!!!
The store has 61 guppies divided into 8 aquarium tanks, and a small display aquarium on
the sales counter. Each of the 8 tanks has an even number in them with the remaining
guppies in the display aquarium. How many guppies are in each aquarium and in the
display aquarium?

Answers

Answer:

5 in display, 7 in each aquarium.

Step-by-step explanation:

At a carnival, Andrew went on rides and played games.
• Each ride cost $2.
• Each game cost $2.
• Andrew went on 3 rides and played g games.
Andrew wrote the expression below to represent the total
amount of money, in dollars, he spent at the carnival.
6 + 2g
Which of the following is another way Andrew could represent
the total amount of money, in dollars, that he spent at the
carnival?

a. 2 × 3g
b. 2(3 + g)
c. 4 × 3g
d. 4(3 + g)

Answers

Answer:

I thinks its b cause you have to multiply them both by 2 and add 3 and g together. hope it helps

The expression can also be 2(3 + g).

What is Expression?

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

An absolute numerical number is referred to as a constant.

Variable: A symbol without a set value is referred to as a variable.

Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.

Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.

Given:

Each ride cost $2.

Each game cost $2.

Andrew went on 3 rides and played g games.

So, the ride costs = $6

and, games costs = $2g

Andrew pay in total = 6 + 2g

                                 = 2 (3 + g)

Hence, the expression can also be  2(3 + g).

Learn more about Expression here:

https://brainly.com/question/14083225

#SPJ2

8/9p=12/18 whats the p value?

Answers

Answer:

p = 12/18

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    8/9*p-(12/18)=0

Simplify.

Simplify more.

Find the Least Common Multiple

     The left denominator is :       9

     The right denominator is :       3

Please i need help thank you

Answers

It’s the three one down. y= -1/2x + 5

John's teacher bought three 64 ounce bottles of soda for a class party. At the end of the party, 1/6 of the soda remained. How many ounces of soda remained?

Answers

Answer: 10

Step-by-step explanation:

64/6=10 therefore it is 10

How many solutions does y=-x^2-4x+7 have

Answers

Answer:

x = sqrt(11 - y) - 2 or x = -sqrt(11 - y) - 2

Step-by-step explanation:

Solve for x:

y = -x^2 - 4 x + 7

y = -x^2 - 4 x + 7 is equivalent to -x^2 - 4 x + 7 = y:

-x^2 - 4 x + 7 = y

Multiply both sides by -1:

x^2 + 4 x - 7 = -y

Add 7 to both sides:

x^2 + 4 x = 7 - y

Add 4 to both sides:

x^2 + 4 x + 4 = 11 - y

Write the left hand side as a square:

(x + 2)^2 = 11 - y

Take the square root of both sides:

x + 2 = sqrt(11 - y) or x + 2 = -sqrt(11 - y)

Subtract 2 from both sides:

x = sqrt(11 - y) - 2 or x + 2 = -sqrt(11 - y)

Subtract 2 from both sides:

Answer: x = sqrt(11 - y) - 2 or x = -sqrt(11 - y) - 2

Other Questions
If these two trapezoids are similar, what is the measure of the missing angle?90115090065Answer:degree. What is the equation of the line described below written in slope-intercept form? the line passing through point (4, -1) and perpendicular to the line whose equation is 2x - y - 7 = 0 Please Help!! 9 points ! brainliest answer What was a major impact of Confucianism on China? WILL MARK BRAINIEST FOR A GOOD ANSWER.How did the feudal system and the manor system help to organize life in Europe during the Middle Ages?Write your response in one to two complete sentences.Directions for short-answer questions:Make sure to read the question carefully.Plan your answer on scratch paper.Then, type your answer into the space provided.Write your response in the required number of complete sentences.Remember to review your answer to make sure you have answered all parts of the question. The Shinkansen (bullet train in Japan) makes a trip from Tokyo Station to Kyoto station in 2 hours and 14 min. The distance traveled is 460 km (to two significant figures). Determine the average velocity of the train in meters per second (m/s). [conversions: 1 km = 1000 m, 1 hr = 60 min, 1 min = 60 s] * can someone help me on this with the steps? thanks! What is the similarities between culture and civilization Construct a timeline of the major events leading to the American Revolution 4x+7y given x=3/4 and y=-1/3 What is one example of how different group perspectives influenced historical events? A. The disagreements between Muslims and European Christians over who should control the Holy Land, led to the Crusades. B. The disagreements between the Spartans and the Athenians over who should control Greece, led to the wars with Persia. C. The disagreements between the Europeans and the Chinese over who should control the Silk Road, led to the voyages of Zheng He. D. The disagreements between the Romans and the Gauls over who should control Britain, led to the founding of the Roman Empire. a List the Social problems existing in your society. The benefits of a reduction of corporate tax to the country Approximately how tall is Baker Hill? Don't forget your unit A ____ is the basic unit of structure and function of living things. What is the value of x in the figure below? In this diagram, AABD - ACAD what is las madres les ____ un cuento a sus hijos anoche.a. leisteb. leyoc. leyerond. lei Write a linear function given in the table below. Use function notation. Which of these is a scientific hypothesis about the growth of a plant? A Plants make a pretty decoration in the house. B It's fun to watch this plant grow. C Plants grow best when they are happy. D This plant will grow best in sunlight. Which conflicts are examples of external conflicts? Select three options.When my email password was denied for the thirtytime, I realized that my account must have been hacked.Realizing that the law was not going to be vetoed, the congresswoman retired to her office to start working.Salim could not believe that the irrational fears that had plagued him throughout his childhood had returned.It was now or never for Zahra; she could speak up about what she had seen, or she could remain silent.Enzo and Luca glared at each other from across the cafeteria, knowing that they needed to talk about the game.