If the length of the hypotenuse is 10 m and its base leg is 6 m, what is the length of
its remaining leg?
1. a = 12 m
2.a = 8 m
3.a = 9 m
4.a = 10 m

Answers

Answer 1

Answer:

a=8m

Step-by-step explanation:

a²+b²=c²

where a= 6m,c=10m

6²+b²=10²

b²=100-36

b²=64

b=√64=8

Answer 2

Answer:

2. [tex]a=8[/tex] m

Step-by-step explanation:

Let [tex]a[/tex] = length of the remaining leg

[tex]6^2+a^2=10^2[/tex] (using the Pythagorean theorem)

[tex]36+a^2=100[/tex]

[tex]a^2=64[/tex]

[tex]a=\sqrt{64}[/tex]

[tex]=8[/tex] m

∴ The length of the remaining leg is [tex]8[/tex] m.

Hope this helps :)


Related Questions

find the number that belongs in the green box,

round your answer to the nearest tenth. ​

Answers

Answer:61.3

Step-by-step explanation:

Using the Law of Sines, you get this formula

sin(angleA)=(a*sin(angleB))/b

sin(angleA)=(14*sin(70)/15)

sin(angleA)=(.88)

angleA=sin-1(.88)

angleA=61.3

What is the average speed, in miles per hour, of the train?

Answers

Step-by-step explanation:A

Do 90 3/5 divided by 3/4. Make sure to simplify! That is how you find average!

Jack and Jill went out to lunch the bill came to be $25 they left a $5 tip what percent of the total bill with the tip​

Answers

Answer:

20%

Step-by-step explanation:

Which of the following expressions represents the addition of 7² and 7³?

A - (7 + 7)2+3
B - (7 + 7)2×3
C - (7 x 7) + (7 x 7 x 7)
D - (7 + 7) x (7 + 7 + 7)

Answers

c because 7^2 is 7•7 and 7^3 is 7•7•7 and you need to add them.

Answer:

c

Step-by-step explanation:

NEED HEP WITH THIS PLZ

Answers

Answer:

(0, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

x - y = -2

3x - y = 2

Step 2: Rewrite Systems

x - y = 2

Add y to both sides:                    x = 2 + y

Step 3: Redefine Systems

x = 2 + y

3x - y = 2

Step 4: Solve for y

Substitution

Substitute in x:                    3(2 + y) - y = 2Distribute 3:                         6 + 3y - y = 2Combine like terms:           6 + 2y = 2Isolate y term:                     2y = -4Isolate y:                              y = -2

Step 5: Solve for x

Define:                         x - y = 2Substitute in y:            x - (-2) = 2Simplify:                       x + 2 = 2Isolate x:                      x = 0

how do you divide 420 and 10 showing your work?

Answers

Answer:

42

Step-by-step explanation:

I drew It out for you! :)

can someone pls find the slope and y-intercept ASAP!!!

Answers

Answer:

slope = 2

y -intercept = 3

Step-by-step explanation:

Hope this helps. Pls give brainliest.

Answer:

The slope is 2

The y-intercpt is 3

Step-by-step explanation:

Tell whether the following equation has one, zero, or infinitely many solutions.

2(6 - 2y) = -1(4y - 9)

Group of answer choices

A) Zero solutions

B) Infinitely many solutions

C) One solution

Answers

Answer:

ITs C One solution

Step-by-step explanation:

Two sides are not equal.

Please help me Please​

Answers

Answer: .....

Step-by-step explanation: not u making homework up lol

i need help can somebody please help me

Answers

Answer:

its 75

Step-by-step explanation:

A secret code is designed by choosing a letter from the alphabet and then choosing a digit from 0 to 9.
Which equation below correctly represents the probability of choosing the secret code "7Q?"
P(7UQ) = P(7) + P(Q)
P(7UQ) = P(7) P(Q)
P (7nQ) = P(7) + P(Q)
P(7nQ) = P(7) PQ)

Answers

Answer:a

Step-by-step explanation:

Choice 4: P(7∩Q) = P(7) × P(Q)

Explanation in detail:

P(7∩Q) denotes the chance of selecting the secret code "7Q."

If A and B are distinct events, then

P(A∩B) = P(A) × P(B)

Let A be the occurrence of selecting a number between 0 and 9 and

Let B be the occurrence of selecting an alphabet.

A and B are clearly distinct entities.

Therefore,

P(7∩Q) = P(7) × P(Q)

Hope this helps!

Can someone help on question 2

Answers

Step-by-step explanation:

i think option a is the correct answer

Answer:

692.82 m^2

Step-by-step explanation:

Regular tetrahedrons have four equivalent equilateral triangular faces, so only the side length of one is needed.

In practice, you could find the area of one triangular side and multiply it by 4. This is probably what your teacher wants you to do, but there is another way if you have a calculator...

To make it easier, use the following equation to calculate the surface area of a tetrahedron:

Surface Area = sqrt(3) * a^2           ( "a" represents edge length )

sqrt (3) * 20^2

sqrt (3) * 400

692.82032302 m^2

What is the y-intercept of a line that passed through the points (1, -7) and (5, -25)?

Answers

Answer:

iii

Step-by-step explanation:

Customers have two options when renting video games from a rental store. Plan A
requires a $5 monthly fee and $1 per video rental. Plan B requires an $8 monthly fee
and $0.75 per video rental. How many video rentals would be required each month for
the plans to cost the same amount?

Answers

Answer:

12 months

Step-by-step explanation:

5$ and 1$ video rental times that by 12 and that gives you $72

$8 and 0.75 cents times 8 is 72 <3

Total number of video rentals is 12 for the plans A and B to cost the same amount.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

Here, it is given that for plan A renting video games required $5 monthly fee and $1 per video rental, Let number of video rentals be x then :

total monthly fees for plan A = 5 + 1x

and similarly for plan B when renting video games required $8 monthly fee

and $0.75 per video rental :

total monthly fees for plan B = 8 + 0.75x  

Now to have total monthly cost same these two equation must be equal :

5+x = 8 + 0.75x

0.25x = 3

x = 12

Therefore, total number of video rentals is 12 for the plans A and B to cost the same amount.

Jade used Fraction 3 over 4 yard of fabric to make a scarf. Can she make 2 of these scarves with Fraction 1 and 4 over 5 yards of fabric, and why? No, because the quotient of Fraction 3 over 4 ÷ Fraction 1 and 4 over 5 is 1 and 7 over 20 No, because the quotient of Fraction 1 and 4 over 5 ÷ Fraction 3 over 4 is 1 and 7 over 20 Yes, because the quotient of Fraction 3 over 4 ÷ Fraction 1 and 4 over 5 is 2 and 2 over 5 Yes, because the quotient of Fraction 1 and 4 over 5 ÷ Fraction 3 over 4 is 2 and 2 over 5

Answers

Answer:

Yes, because the quotient of Fraction 1 and 4 over 5 ÷ Fraction 3 over 4 is 2 and 2 over 5

Step-by-step explanation:

Jade used Fraction 3 over 4 yard of fabric to make a scarf. Can she make 2 of these scarves with Fraction 1 and 4 over 5 yards of fabric, and why?

Representing the above expression Mathematically

3/4 yard = 1 scarf

1 4/5 yards of fabric = x

Cross Multiply

3/4x = 1 4/5 × 1

x = 9/5/ 3/4

x = 9/5 ÷ 3/4

x = 9/5 × 4/3

x = 12/5 scarves

x = 2 2/5 scarves

Hence, the correct option is :

Yes, because the quotient of Fraction 1 and 4 over 5 ÷ Fraction 3 over 4 is 2 and 2 over 5

Answer:

Yes, because the quotient of Fraction 1 and 4 over 5 ÷ Fraction 3 over 4 is 2 and 2 over 5

Step-by-step explanation:

3) Angles 3 and 6 are congruent. Which lines are parallel? (pic below)

A. g || j
B. j || h
C. g || h
D. j || k

Answers

Answer:

c.

Step-by-step explanation:

Answer:

The answer is C

help...................

Answers

Answer:

10.63cm

Step-by-step explanation:

Pythagorean theorem

a^2+b^2=c^2

(square root of 32)^2+(9)^2=113^2

The square root of 113 is 10.63.

I hope this helps :)

If it snows tomorrow the probability is 0.8 that John will practice his trombone if it does not snow tomorrow there is only a 0.5 chance that John will practice suppose the chance of snow tomorrow is 60% what is the probability that John will practice his trombone

Answers

Answer:

0.68

Step-by-step explanation:

Given that :

P(trombone | snow) = 0.8 ;

P(trombone | no snow) = 0.5

P(snow) = 0.6

P(trombone) = P(trombone | snow) * p(snow) + P(trombone | no snow) * p(no snow)

P(no snow) = 1 - 0.6 = 0.4

Hence,

P(trombone) = P(trombone | snow) * p(snow) + P(trombone | no snow) * p(no snow)

P(trombone) = (0.8 * 0.6) + (0.5 * 0.4)

P(trombone) = 0.48 + 0.20

P(trombone) = 0.68

could someone please help me with this

Answers

Answer:

24 m/s

Step-by-step explanation:

Go to 20s on the graph(located on the x-axis) then go up. The point is right under 25m/s, therefore it is 24 m/s.

A store has 20% off sale on pants. With this discount the price of one pair of pants before tax is $15.20. What was the original price of the pants?

Answers

Answer:

Answer :

The original price is x, so 20% of x, - x, equals the sale price. You can use the equation:

x-.2x=15.20

.8x=15.20

/.8.  /.8

x=19

have a nice day <3

Step-by-step explanation:

Answer:

x=19

Step-by-step explanation:

Divide 9 by q, then add 4 to the result

Answers

Answer:

Q/9+4

Step-by-step explanation:

If you have the number for q please say it

Highlighter pens cost $3.86 per set at an office supply store. Which equation can be used to determine the price, P, of n sets of these pens? (1 point) a n = 3.86P b P equals 3.86 over n c n equals 3.86 over P d P = 3.86n At an adventure park, a base ticket costs $85.50 per adult. Which equation can be used to calculate the base ticket price, A, for n adults? (1 point) a n = 85.50A b A = 85.50n c n equals 85.50 over A d A equals 85.50 over n

Answers

Answer:

1. d) P = 3.86n

2. b) A = 85.50n

Step-by-step explanation:

write each number in two equivalent forms as a fraction, decimal, or percent.
0.29
35%
2/5

Answers

Answer:

43t;ouh43

Step-by-step explanation:

55r

Find the equation of a line that is parallel to the line x=-17 and contains the point (-4,1) what is the equation

Answers

Answer:

Step-by-step explanation:

x= - 4

That is a vertical line going through any point whose x value is - 4

Write an equation in slope-intercept form for the line that has the given slope and contains the point.

m= 1 :(9,-7)

Answers

Answer:

-7=1x+b

Step-by-step explanation:

PLEASE HELPPPPP MATH

Answers

Answer:

Use the equation 250+25w=400+20w

Step-by-step explanation:

Replace w with one of the answers until you get the right one.

pretty sure its 35 but I don't have a calculator with me so double check

Answer:

After 30 weeks.

Step-by-step explanation:

250 + 25*30 = 1000

400 + 20*30 = 1000

how do i learn how to do this math ? I don’t know how to do it

Answers

Answer:

Both angles measure 135 degrees.

Step-by-step explanation:

There is an image below showing my work. Sorry about the crinkled paper. You set both equations equal to each other and solve for x. You can then substitute x in for what you got. This will work for either equation. Since the equations are equal you only have to substitute it in for one equation but can do both.

Someone please help me

Answers

Answer:  B) 2

=========================================================

Explanation:

Take away the four white small squares on the left side. To balance things out, you have to add 4 black squares to the right side.

Also, take away the two white long rectangles from the right side. To balance this out, you have to add 2 gray long rectangles to the left side.

You should have:

5 gray rectangles, and no squares (of any color) on the left side10 black squares, no long rectangles (of any color), on the right side

From here you'll group up the 10 black squares so that you'll have 2 black squares per gray rectangle.

This means the solution is 2.

-------------------------------------

If you're curious about the algebraic way to solve, then you could do this:

3x-4 = -2x+6

3x+2x = 6+4

5x = 10

x = 10/5

x = 2

This method doesn't require us to use the visual model.

The height of a rocket x seconds after it is launched from a hill that is 224 feet high is modeled by the function f (x) = -16x² + 80x + 224.

How long does it take the rocket to hit the ground?
It takes (?) seconds.​
need asap thank you

Answers

Answer:

t = 7 seconds

Step-by-step explanation:

The height of a rocket x seconds after it is launched from a hill that is 224 feet high is modeled by the function :

f (x) = -16x² + 80x + 224

We need to find how long does it take the rocket to hit the ground. At that point,

f(x) = 0

[tex]-16x^2 + 80x + 224=0\\\\\dfrac{-16x^2}{16}+\dfrac{80x}{16}+\dfrac{224}{16}=0\\\\-x^2+5x+14=0\\\\-x^2+(7-2)x+14=0\\\\-x^2+7x-2x+14=0\\\\x(-x+7)+2(-x+7)=0\\\\(x+2)(-x+7)=0\\\\x=-2\ \text{and}\ x=7[/tex]

Neglecting -2. Hence, the rocket will take 7 seconds to hit the ground.

what is -6/7 in decimal form

Answers

−0.8571428571 is the answer
Other Questions
15 POINTS PLEASE HELP Select the correct answer.What was the purpose of the navigation school founded by Prince Henry of Portugal?O A. to reach North Africa and gain from the slave tradeOB. to help the Portuguese explore new sea routes. .to discover and colonize places such as the New WorldOD.to journey around the Cape of Good Hope in Africa I'd like some advice, please!I'm learning French this year and I was excited about it! Because of remote school, I'm not taking a language in school when I would have this year. I'm using the Duolingo app to learn on my own. Duolingo is fun and I do it a lot, I'm moving forward in the app too, but not in real life. I still can't say a full sentence and it's December. (I started in September :P). I tried making flashcards, but they took too long to write. (This is not me being lazy, but me having at least an hour and a half of homework after I get out of school at 3 :'P) I'd like to be able to speak French fluently in 2 years! Can I have suggestions as to a different app I could use, a way to learn faster, better study habits, or, anything that could help? Thanks in advance =) The ASL sign for the number ten resembles which common hand gesture?wavingthumbs uppointing straight aheadpeace sign What is the slope of the line that passes through the points (1, 6) and (4, 9)? What is 1,476 divided by 12? HELP FAST i'll mark you brainliest One bus is 5 miles east and 2 miles north of the bus terminal. Another bus is 3 miles west and 4 miles south. How far apart are the buses? Does his model correctly show why the properties of the ending substances are different from the properties of the starting substances? Describe what could be correct or incorrect about his model. What is the simplest form of following expression?7x2y 7xy + 5xy2 5xy + x2y xy2 If the length of the hypotenuse is 10 m and its base leg is 6 m, what is the length ofits remaining leg?1.a= 12 m2.a= 8 m3.a= 9 m4.a = 10 m The population of Mathville is [tex](8*10^5)[/tex]. The population of Algeville is [tex]2*10^5[/tex]. What is the difference in the populations? Nine people each ate 2/8 of a small pizza. Two other people each ate 3/8 of a small pizza. What is the total amount of pizza eaten by all the people? 150-5r>87.5 Il mark brainliest Tell whether each set of ratios are equivalent to each other. Explain why the ratios are equivalent or not equivalent. You must provide an explanation to receive full credit. 1/ 12: 18 and 2 : 32/ 9: 15 and 3: 4 What should a consumer consider when shopping for a credit card? Check all that apply. the down payment that is required the initial fees to open the account the fees charged for late payments the kind of collateral that is required the annual percentage rate for the card HELPPP!!! I'LL MARK BRAINLIEST!!!!! Answer the following questions with the correct vocabulary word7.dnde compramos las entradas?8.qu viste en el cine?9.Qu pinta el pintor10. dnde podemos ir si queremos ver una exposicin de arte?11 dnde Podemos ver una pelcula All Answer choices are the same la taquilla,el fine, un cuadro, una fiesta, un concierto, regalos,,una pelicula, el mueseo, In one to two sentences, assess how women are treated under strict understanding of sharia law. Subject Matter that depicts representation of an artist by an artist. There are two vectors with magnitudes of 10 and 17 and an angle of28 degrees between them, What is the magnitude of the resulting vector? How is the passage describing the fight over the piece of bread in the open cattle car both horrific and sad?