A right triangle has legs that are 10.1 inches and 12.2 inches long. what is the approximate length of the hypotenuse? 6.8 inches 15.8 inches 22.3 inches 125.5 inches

Answers

Answer 1

Answer:

about 15.8 inches

Step-by-step explanation:

Use the equation [tex]a^{2} + b^{2} = c^{2}[/tex]

Where "a" and "b" are the leg lengths and "c" is the hypotenuse.

Answer 2

The solution is, 15.8 inches is the approximate length of the hypotenuse.

here, we have,

given that,

A right triangle has legs that are 10.1 inches and 12.2 inches long.

We only need to apply Pythagoras theorem to solve this problem.

Pythagoras theorem state that in a right-angle triangle,

opposite² + adjacent²  = hypotenuse²

From the question, the length of the leg = 10.1 inches

one of the leg, lets say adjacent = 12.2 inches

Let x be the hypotenuse of the other leg.

We can now proceed to insert our values into the formula;

opposite² + adjacent²  = hypotenuse²

        10.1²    +      12.2²           = x²

so, we get,

x²  = 10.1² + 12.2²  

x²  = 102.01 + 148.84

x²   =  250.85

Take the square root of both-side to get the value of x

√x²   =  √250.85

x = 15.83

x≈15.8

Therefore the approximate length of the other leg is 15.8 inches.

To learn more on  hypotenuse click:

brainly.com/question/24302120

#SPJ7


Related Questions

Look at the sequence below. To get to the next term in the sequence,
subtract 90 from the term before.
520,
430, 340,
Write the first two terms of the sequence that are less than zero.

Answers

Answer:

The first two negative terms are -20 and -110

A Mexican restaurant sells quesadillas in two sizes: a "large* 10 inch-round quesadilla and a "small" 4 inch
round quesadilla. Which is larger, half of the 10-inch quesadilla or the entire 4-inch quesadilla?

Answers

Answer:

Half of the 10-inch quesadilla ↓

Here is the inequality statement:

10 ÷ 1/2 = 5 > 4

10 divided by its half equals five which is greater than 4.

If "x" is equal to 6, what is the value of the following expression? y = 2x + 9x + 3

Answers

Answer:

[tex]y = 69[/tex]

Step-by-step explanation:

Given the following question:

[tex]y=2x+9x+3[/tex]
[tex]x=6[/tex]

Substitute and solve using PEMDAS:

[tex]y=2x+9x+3[/tex]
[tex]y=2(6)+9(6)+3[/tex]
[tex]2\times6=12[/tex]
[tex]y=12+9(6)+3[/tex]
[tex]9\times6=54[/tex]
[tex]y=12+54+3[/tex]
[tex]12+54=66[/tex]
[tex]66+3=69[/tex]
[tex]y=69[/tex]

Your answer is "y = 69."

Hope this

PLEASE HELP !! ASAP
Find the values of X and Y. State what kind of angles are indicated in the figure.

Answers

Answer: x=61 y=29

well all the angles have to add up to 360 so its pretty simple to find,

2y=58

y=58/2=29

y=29

58*2=116

360-116=244

244/2=122

2x=122

x=122/2=61

x=61

find the value of x Round your answer to the nearest tenth what does x equal hury please!!!!!!!!!!!!

Answers

Answer:

14

Step-by-step explanation:

tan41° = opposite / adjacent

tan41 = 12/x

x ( tan41 ) = 12

X = 12/tan41°

X = 13.80

when rounded off = 14

help me out here please

Answers

Answer:

They came to different conclusions because if you graph n+10 and 2n+3, eventually 2n+3 will surpass n+10 (see picture for diagram). Since they both plugged in different numbers for n, they received different answers to the question.

50 points HELPP QUICK which figure is a rotation of figure A?
a. figure B
b. figure C
c. figure D

Answers

Answer: Figure D

Figure D is a 180 degree rotation of figure A.

C.figure D
Explanation-180 degree rotation

40 POINTS AND BRAINLIEST TO WHOEVER CAN WALK ME THROUGH THIS AND HELP ME

A staircase of steps in a swimming pool has a vertical rise of 10 inches per step and a landing of 14 inches. Answer the following questions showing each step of your work:
a) What is the angle of elevation (rounded to the nearest whole degree)?


b) If the landing of each step is changed to 17 inches and the elevation of each step to 13 inches, what is the new angle of elevation for the staircase (rounded to the nearest whole degree)?

Answers

Answer:

a) 36°

b) 37°

Step-by-step explanation:

a) x=14 y=10

tan(0) = 10/14

0 = tan-1 (10/14)

0 = 36

b) x=17 y=13

tan(0) = 13/17

0 = tan-1 (13/17)

0 = 37

Which circle has the longest circumference? Why?

Answers

Answer: The longest part of the circle is called diameter. Diameter is a chord. It is equal to double of radius.

A chord is a line segment with both endpoints on the circle. The diameter is a special chord that passes through the center of the circle. The diameter would be the longest chord in the circle.

Step-by-step explanation:

solve for v: 56= 7v + v simplify your answer as much as possible​

Answers

Answer:

v=7

Step-by-step explanation:

i just used a math website for my answers and told it to simplify. try using that website. i always get an 90-100's on my tests from using that

Given equation :

[tex]{\qquad \sf \dashrightarrow{ 56= 7v + v }}[/tex]

We can rewrite the equation as :

[tex]{\qquad \sf \dashrightarrow{ 7v + v = 56 }}[/tex]

Adding like terms :

[tex]{\qquad \sf \dashrightarrow{ 8v = 56 }}[/tex]

Dividing both sides by 8 :

[tex]{\qquad \sf \dashrightarrow{ \dfrac{8v}{8} = \dfrac{56}{8} }}[/tex]

[tex]{\qquad \bf \dashrightarrow{ v = 7 }}[/tex]

Henceforth,

The value of v is 7.

Triangle ABC is reflected across the x-axis, and then across the y-axis. Which rotation is equivalent to this compositi
of transformations?Triangle ABC is reflected across the x-axis, and then across the y-axis. Which rotation is equivalent to this compositions
of transformations?

Answers

Answer:

Rotate 180 degrees

Step-by-step explanation:

Write the log equation as an exponential equation. You do not need to solve for X,
log, (5x + 1) = 2

Answers

Answer:

5x+1=10²

Step-by-step explanation:

[tex]log_{x}y=n\\ y=x^{n}[/tex]

㏒(5x+1)=2

5x+1=10²

An angle measures 62.8° less than the measure of its supplementary angle. What is the measure of each angle?

Will give 30 to correct answer!​

Answers

Angle 1
=180-62.8
=117.2

Angle 2
=180-117.2
=62.8

A right triangle with the dimensions given in units is shown below.

Answers

Answer: 12.5?

Step-by-step explanation: because a square is a full and half of it makes a triangle so I guess its half so 12.5?

Jannette says ABC ~ DEF because ABC's sides form a Pythagorean triple and DEF's side lengths are multiples of ABC's side lengths. Is she correct?

Answers

Answer: Yes

Step-by-step explanation:

DEF's side lengths are multiples of ABC's side lengths

please this is due tomorrow ​

Answers

Answer:

289m = 2,890dm

Step-by-step explanation:

you multiply the meters by 10

i will cry if i can't answer these

Answers

There are 20 bowls of soup. As
in eight liters is eight thousand
mis therefore eight

Answer:

15

Step-by-step explanation:

3 liters equals to 3000 milliliters

divide 3000 by 200 and you get 15 bowls of soup

Can’t solve this proof all help is appreciated

Answers

Explanation:

To get to the desired conclusion, you will want to make use of CPCTC and the fact that triangle AXB is congruent to triangle CYD. In order to show those two right triangles are congruent, it is sufficient to claim congruence of their hypotenuses and one internal acute angle (HA congruence). The corresponding internal angles are alternate interior angles where a transversal (BD) crosses parallel lines (AB║CD). It's tedious, but not terribly difficult.

__

Statement . . . . Reason

1. Congruent segment pairs are (AB, CD), (AD, BC) . . . . given

2. Perpendicular segment pairs are (AX, BD), (CY, BD) . . . . given

3. ABCD is a parallelogram . . . . definition of parallelogram (opposite sides are the same length)

4. AB ║ CD . . . . definition of parallelogram (opposite sides are parallel)

5. ∠ABX ≅ ∠CDY . . . . alternate interior angles at BD

6. ΔAXB and ΔCYD are right triangles . . . . definition of right triangle (angles at X, Y are 90°)

7. ΔAXB ≅ ΔCYD . . . . HA congruence postulate (AB, CD are the hypotenuses)

8. AX ≅ CY . . . . CPCTC

_____

Additional comment

A lot of proof has to do with working backward, answering the question, "How do I know ...?" The beginning paragraph in this answer attempts to show you the answers to those questions.

This proof works with the smaller triangles AXB and CYD. You could do the same proof with the larger triangles AXD and CYB. For that, you'd have to claim that AD║BC.

solve pls brainliest

Answers

Answer:

35 votes

Step-by-step explanation:

First we divide :)

56/8 = 7

Now we multiply 5 by 7

5 x 7 = 35

She recieved 35 votes :)

Have an amazing day!!

Please rate and mark brainliest!!!

A laptop computer is purchased for $2300. After each year, the resale value decreases by 25%. What will the resale value be after 4 years

Answers

since its 25% on each of the 4 years then it becomes 100%, but because its decreasing then that means it is half of $2300, which is $1150.

The answer is $1150

x^2 - y^2 = 100
x + y = 5
The solution to the given system of equations is
(x, y). What is the value of x - y?

Answers

Answer:

20

Step-by-step explanation:

Let's start by rewriting the second equation in terms of "x":

[tex]x+y=5[/tex]

Subtract y from both sides:

[tex]x=5-y[/tex]

Now, substitute "5-y" for "x" in the first equation:

[tex](5-y)^2-y^2=100[/tex]

Note that:

[tex](a-b)^2=a^2-2ab+b^2[/tex]

[tex]25-10y+y^2-y^2=100[/tex]

Cancel out like terms:

[tex]25-10y=100[/tex]

Subtract 25 from both sides:

[tex]-10y=75[/tex]

Divide both sides by -10

[tex]y=\frac{75}{-10}=\frac{15}{-2}=-\frac{15}{2}[/tex]

Now, substitute this value back into either of the equations to solve for x.

[tex]x+y=5\\x-\frac{15}{2}=5\\[/tex]

Add 15/2 to both sides:

[tex]x=5+\frac{15}{2}\\x=\frac{10}{2}+\frac{15}{2}\\x=\frac{25}{2}[/tex]

Now, find the difference:

[tex]x-y=\frac{25}{2}-(-\frac{15}{2})=\frac{25}{2}+\frac{15}{2}=\frac{40}{2}=20[/tex]

If there are 18 frogs in the tank and I put 9 in the bowl how many are left. 15 points

Answers

There are 9 frogs left in the tank

Answer:

Tank: 9 Bowl: 9

9 + 9 = 18

Step-by-step explanation:

Pls, choose me as brainliest!

james had $400 in his bank account after paying bills for 4 months his balance is now $160. what is his rate of change in dollars per month?

Answers

Answer:

60

Step-by-step explanation:

400-160=240

240/4=60

PLEASE ANSWER ASAP
On the school playground, the slide is due west of the tire swing and due south of the monkey bars. If the distance between the slide and the tire swing is 7 feet and the distance between the tire swing and the monkey bars is 10 feet, how far is the slide from the monkey bars? If necessary, round to the nearest tenth. ​

Answers

Answer:

I hope the attached image helps!

Step-by-step explanation:

Answer: use the pythagorean theorem method

A² + B² =C²

7²+ 10² =C²

7•7=49

10•10=100

49+100= 149

the square root of 149 is

12.2.

7²+10²= 12.2² or 12 rounded to the nearest tenth

hope this helps :)

Step-by-step explanation:

Really easy, Really need help!

Answers

Answer:

I don't see what the question is

Explain how knowing 4 times 8 will help you solve 4 times 80

Answers

Answer:

knowing 4 times 8 will help you know 4 times 80 because all you would have to do is multiply 4 by 8 and then add the 0 to your answer

Step-by-step explanation:

4*8=32

Triangle DEF is shown below. Which of the following equations could be used to find the value of x?

Answers

The equation that can be used to find x in the triangle is x + 86 = 180

How to find the angle of a triangle?

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

Therefore, let's find the angle of x in the triangle.

Triangle DEF is shown above. Therefore, the equation that can be used to find the value of x can be calculated as follows:

49 + 37 + x = 180

Therefore, the equation is as follows:

x + 86 = 180

learn more on triangle here: https://brainly.com/question/21011159

#SPJ1

An equation that could be used to find the value of x is: B. x + 86° = 180°.

What are the properties of similar triangles?

In Mathematics and Geometry, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Additionally, the sum of all of the interior angles of a triangle is always equal to 180 degrees. In this scenario, we can logically deduce that the sum of the given angles are supplementary angles:

m∠1 + m∠2 + m∠3 = 180°

37° + 49° + m∠3 = 180°

86° + m∠3 = 180°

x + 86° = 180° (required equation)

Read more on triangle here: brainly.com/question/22891315

#SPJ1

PARALLELOGRAM QUESTION LOTS OF POINTS, SERIOUS ANSWERS ONLY I WILL REPORT

Answers

Answer:

m∠C = 75°

Step-by-step explanation:

Theorem:

The consecutive angles of a parallelogram are supplementary (sum to 180°).

⇒ m∠D + m∠E = 180°

⇒ (7x + 21) + (15 + 5x) = 180

⇒ 7x + 21 + 15 + 5x = 180

⇒ 12x + 36 = 180

⇒ 12x = 144

⇒ x = 12

Theorem:

Opposite angles of a parallelogram are equal.

⇒ m∠C = m∠E

⇒ m∠C = 15 + 5x

Substituting found value of x:

⇒ m∠C = 15 + 5(12)

⇒ m∠C = 75°

Consecutive angles of a parallelogram are supplementary

7x+21+5x+15=18012x+36=18012x=144x=12

<C:-

5(12)+1560+1575°

The segments in each figure are tangent to the circle at the points shown. Find each length. ​

Answers

Answer:

Step-by-step explanation:

Tangents from a common point are equal.

In other words AC = AB

AC = 8x

AB = 2x^2

2x^2 = 8x                 Divide both sides by 2x

2x^2/2x = 8x / 2x    Divide

x = 4

AC = 8x

AC = 8*4

AC = 32

AB = 2x^2

AB = 2 (4)^2

AB = 2*16

AB = 32


Suppose that a and b are nonzero real numbers, and
that the equation x² + ax + b = 0 has solutions a
and b. Then the pair (a, b) is

Answers

The equation has two solutions. Means Discriminant means b^2-4ac >0

Here b = a.

a = 1

c = b

a^2 - 4b >0

a=2

b= -1

then a^2 - 4b > 0 = 4+4 > 0

therefore its 2, -1

The pair (a, b) represents the sum and product of the roots of the quadratic equation x² + ax + b = 0.

We have,

Given that the equation x² + ax + b = 0 has solutions a and b, the sum and product of the roots (a and b) can be related to the coefficients of the quadratic equation.

The sum of the roots of a quadratic equation is given by:

Sum of roots = -coefficient of x / coefficient of x² = -a

The product of the roots of a quadratic equation is given by:

Product of roots = constant term / coefficient of x² = b

From the given information, we have:

The sum of roots = a

Product of roots = b

Thus,

The pair (a, b) represents the sum and product of the roots of the quadratic equation x² + ax + b = 0.

Learn more about solutions of equations here:

https://brainly.com/question/545403

#SPJ3

Other Questions
Who is the ideal parent according to Diane Baumrind? The longest chord in the diagram is:UTTVSVSU what is socioeconomic inequality? You are on your way to an interview for your dream job that pays $150,000 a year starting salary. There were over 10,000 applicants for this job opening and they are interviewing 50 people. Your resume was impressive enough to land one of those 50 interviews at 2 pm. It is 1:30 pm and you are in your car and 5 miles away from your interview. You are stopped at a red light at an extremely busy intersection and your car shuts off. You try to start it but no noise is made as you turn the ignition key and the car will not start. Tell me step by step your plan of action for this situation (be extremely detailed, logical and sequential in your reasoning.) Use as many steps as you need to solve this problem. Points awarded for the best logical response with reasoning 1. What are the common Elements of the art that can be seen in Tibet and Saudi arabia What is the equation of the line slope of 1/4 and a y-intercept of -2 Help me with these 3 equations please !!!!!!! The radius of a circle is 17 cm. Find its area in terms of pie A software development _____________ provides a framework for designing, writing, and testing software. Solucin del problemaJos es el encargado de reunir dinero y comprarlas pizzas para la convivencia del 14 de febrerode su saln. La promocin es de 2 pizzas por 150pesos con ocho rebanadas cadauna. Cuntodinero debe darle cada compaero del grupo de52 alumnos si quieren comer 3 rebanadas porpersona? 2x times -6x in multiplying polynomials Please help! I need this answered by tommorrow! A fish tank in the shape of a cube has a side length of 15 inches. How much water does the fish tank hold when completely filled with water? 48 divided by 9,853 and whats the r The graph of F(x), shown below, has the same shape as the graph ofG(x) = x2. Which of the following is the equation ofFx)?+5-5FOO = ?O A. Fx) = x2.5O )B. Fx) = 5 - x2O C. F(x) = x2 + 5O D. F(x) = x2 ill give brainliest pls do all 3 A bacteria population is 10,000 when it first measured and then doubles each day What is the authors purpose for including this statement? to prove that the Internet needs improvement to provide evidence that computer users are unskilled to criticize the federal control of the Internet to give a chronology of the Internets evolution. Strategies to improve a team's performance include all of the following EXCEPT: A. Competition B. Teamwork C. Coaching D. Practice Please select the best answer from the choices provided. A B C D. help???????????????? What type of phrase is foot in the door