Mathematics College

4. The two legs of a right triangle are equal and the square of its hypotenuse is 50. Find the
length of each leg.​

Answers

Answer 1

Answer:

[tex]Opposite = Adjacent= 5[/tex]

Step-by-step explanation:

Given

[tex]Hypotenuse^2 = 50[/tex]

[tex]Opposite = Adjacent[/tex]

Required

Find the length of each leg

This is calculated using Pythagoras Theorem

[tex]Opposite^2 + Adjacent^2 = Hypotenuse^2[/tex]

[tex]Opposite^2 + Adjacent^2 = 50[/tex]

Represent the opposite and adjacent with x

[tex]x^2 + x^2= 50[/tex]

[tex]2x^2 = 50[/tex]

Divide both sides by 2

[tex]x^2 = 25[/tex]

Take square roots

[tex]x = 5[/tex]

Hence:

[tex]Opposite = Adjacent= 5[/tex]

Related Questions

is 3 correct pls helppppppppppp

Answers

Answer:

yes it is you didn't even have to ask the question

Step-by-step explanation:

hope this helped :)

13 percent increase of 130

Answers

146.9 because you must multiply the 130 with 13 and notice 13 percent of 130

I need to show the work:

Answers

9514 1404 393

Answer:

  19.25 miles

Step-by-step explanation:

Antoine's rate before lunch was ...

  (5.25 mi)/(3 h) = 1.75 mi/h

Then his rate after lunch was ...

  2×(1.75 mi/h) = 3.5 mi/h

The distance he hiked after lunch was ...

  distance = speed × time

  (4 h)×(3.5 mi/h) = 14 mi

The distance Antoine hiked is the total of his before-lunch distance and his after-lunch distance:

  5.25 mi + 14 mi = 19.25 mi

Priscilla can make 2 bracelets in 18 minutes. At this rate, how many bracelets can she make in 72 minutes?

Answers

Answer:

8

Step-by-step explanation:

divide 72 by 18 to get 4. multiply 4 by 2 and you get 8. hope this helps

Answer:

make 8 braclets within 72 minutes

Step-by-step explanation:

2 bracelets 4 bracelts 6 bracelets 8 bracelets

18 minutes 36minutes 54minutes 72 minutes

The total after-tax cost of a laptop computer is 1610.60 the local sales tax rate is 5.7% what is the retail pretax price

Answers

It should 43% since it’s the value


WILL GIVE BRAINLIEST
3. What is the domain of the relation graphed below?
(3,5)
(-4,1)
(6,0)
(-2,-1)
(0,-5)

Answers

Answer:

the 3rd one

Step-by-step explanation:

Answer:

(6,0) is the right one I think it might not be right but happy to help

Step-by-step explanation:

Scarlet is buying a watch that cost 49$ Is sales tax are 6% how much will be added to the cost of the watch?

Answers

Answer:

$51.94

Step-by-step explanation:

Basically just take 6% of 49 and at it up to get your final answer!

Answer:

$51.94

Step-by-step explanation:

49* 1.06= $51.94

ANSWER FOR A BRAINLIEST Solve the system of two variables by substitution

Answers

Answer:

Substitution is when you isolate a variable-

3) We can divide the first equation by 6 to get x+y=-1, then isolate to get y=-1-x. We plug this into the second equation to have 3x+(-1-x)=-13. We simplify and get 2x=-12 so x=-6. We plug this back into the first equation and get -6+y=-1 so y=5. So the answer as an ordered pair is (-6,5).

4) We can isolate the second equation to get x=2y+11. We substitute this into the first equation to have -7(2y+11)-2y=-13. We simplify and get -16y=64 so y=-4. We plug this back into the second equation and get x+8=11 so x=3. So the answer as an ordered pair is (3,-4).

a que numero mixto corresponde la fraccion 7/2​

Answers

Answer:

3 & 1/2

Step-by-step explanation:

2•3=6

7-6

1/2

3 whole number

3 & 1/2

WILL MARK BRAINLIEST ONLY HAVE 10 MINUTES JUMBER 6

Answers

Answer:

Answer:

1 notebook = 5.69 + paper 1.39 + dividers 1.45 + 2 pens 2.38 + pencils2.5

13.41 is the answer

Step-by-step explanation:

Step-by-step explanation:

PLEASE HELP ITS URGENT I HAVE 3 MINS AND IM FAILING I REALLY NEED A A ASAP PLEASE HELP

Answers

Answer:

Here to save the day Incoming freshman = 0.72 Freshman & on campus = 0.44So 44% or A

Answer:

A) 44%

Step-by-step explanation:

help plsssss ill mark brainliest​

Answers

Answer:

A = 38.5

Step-by-step explanation:

Look at this graph:
Determine whether the graph represents a function.

Answers

Answer:

true

Step-by-step explanation:

here this might help a little Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.

What is the sales tax on a jacket priced at $675 if the sales tax rate is 6%? The sales tax is $​

Answers

Answer:

$ 37.50

Step-by-step explanation:

We can rewrite this problem as: What is 6% of $625?

"Percent" or "%" means "out of 100" or "per 100",

Therefore 6% can be written as 6/100.

When dealing with percents the word "of" means "times" or "to multiply".

Finally, lets call the sales tax we are looking for "t".

Putting this altogether we can write this equation and solve for t while keeping the equation balanced:

t=6100×$625

t=$3750100

t=$37.50

Answer:

40.50

Step-by-step explanation:

Sales price x sales tax rate = sales tax

675 x .06 (6%) = 40.50

please help me ASAP thank you

Answers

101+ 6x-5=180

6x=84

x=14

hope this helps!

Answer:

x = 14

Step-by-step explanation:

Since m || n, the two adjacent angles (101° and (6x-5)) must add up to 180°.

180° - 101° = 79°. Therefore, 6x - 5 = 79.

Add 5 to both sides, and the equation is 6x = 84.

Then divide both sides by 6 to get x = 14.

Could anyone save my life??

Answers

Answer:

Step-by-step explanation:

y -5x = 2

10x -3y =9

substitute x for 3/5 and y for -1

-1 -(5*3/5) = 2

(10*3/5) -3(-1) =9

simplify :

-1 -3 =2

6+3 =9

-4 =2 Not true

9=9 True

Conclusion: the point (3/5, -1) is not a solution to the given system of equations

4 x 2/7 Pls solve it for me

Answers

Answer:

8/7 or 1 1/7

Step-by-step explanation:

4/1 x 2/7 = 8/7

8/7
(And as a mixed fraction it’s 1 1/7)

y=-3x + 10
y = -2x + 6
Substitution method

Answers

Answer:

x=4 and y=−2

Step-by-step explanation:

y=−3x+10;y=−2x+6

Step: Solve y=−3x+10for y:

Step: Substitute−3x+10foryiny=−2x+6:

y=−2x+6

−3x+10=−2x+6

−3x+10+2x=−2x+6+2x(Add 2x to both sides)

−x+10=6

−x+10+−10=6+−10(Add -10 to both sides)

−x=−4

-x/-1 = -4/-1 (Divide both sides by -1)

x=4

Step: Substitute4forxiny=−3x+10:

y=−3x+10

y=(−3)(4)+10

y=−2(Simplify both sides of the equation)

Answer:

Solution is the point (4, -2)

Step-by-step explanation:

use the expression for y from the first equation in the second equation:

then the equation y = - 2 x + 6 becomes:

- 3 x + 10 = - 2 x + 6

add 3 x to both sides

10 = 3 x - 2 x + 6

10 = x + 6

subtract 6 from both sides

x = 4

Now replace x with 4 in the first equation to find y:

y = - 3 x + 10 = - 3 (4) + 10 = - 12 + 10 = -2

Therefore this is the point solution to the system:

(4, -2)

In setting up a conversion factor, where is the quantity of units you are converting to placed?

Answers

Converting to in the numerator, the units you’re converting from in the denominator

Lydia sold pumpkin seeds at the County Fair. She used a graph to document
her sales. On the graph, what point represents the unit price?

Answers

Answer:

dang it can someone pls do this

Step-by-step explanation:

after completing the square what are the solutions to the quadratic equation below
x²-5x-6=3

Answers

Answer:

x = 5/2 + sqrt(61)/2 or x = 5/2 - sqrt(61)/2

Step-by-step explanation:

Solve for x over the real numbers:

x^2 - 5 x - 6 = 3

Hint: | Solve the quadratic equation by completing the square.

Add 6 to both sides:

x^2 - 5 x = 9

Hint: | Take one half of the coefficient of x and square it, then add it to both sides.

Add 25/4 to both sides:

x^2 - 5 x + 25/4 = 61/4

Hint: | Factor the left hand side.

Write the left hand side as a square:

(x - 5/2)^2 = 61/4

Hint: | Eliminate the exponent on the left hand side.

Take the square root of both sides:

x - 5/2 = sqrt(61)/2 or x - 5/2 = -sqrt(61)/2

Hint: | Look at the first equation: Solve for x.

Add 5/2 to both sides:

x = 5/2 + sqrt(61)/2 or x - 5/2 = -sqrt(61)/2

Hint: | Look at the second equation: Solve for x.

Add 5/2 to both sides:

Answer: x = 5/2 + sqrt(61)/2 or x = 5/2 - sqrt(61)/2

Liz has two gardens and wants to build a fence around each. She wants to buy all the fencing at one time. The diagram below shows her two gardens. Which of the following correctly shows the total amount of fencing, in feet, Liz will need to buy for both gardens ? A. Total: 29 x B. Total: 11 x + 4 C. Total: 22 x + 16 D. Total: 11 x + 8​

Answers

Answer:

29

Step-by-step explanation:

Help please! This is due tomorrow!

Answers

6.5 is the answer for that problem

Create your own problem using the following informatio
Then, solve it.
1. Ratio is 2:5:6= 78
renn increases to 20​

Answers

Create your own problem using the following information

ratio is 2:5:6=78

I need some help and can you please show your work? Thank you have a good day

Answers

$1.75

If 4 lemons altogether cost $7, you want to divide the price by 4 to find the price for one single lemon.

7/4 = $1.75

Now if you buy 4 lemons that cost $1.75, your total will add up to $7

Julie and her friends share some orange juice equally. Each person recieves 3/4 cups of juice. Which of the following shows a possible way that the juice was served?

4 cups of juice divided among 3 people
cups of juice divided among 3 people
cups of juice divided among 4 people
3 cups of juice divided among 4 people

Answers

0.25

______________________________________

Answer:

Step-by-step explanation:

3 cups of juice divided among 4 people

Solve for y





Just ignore this - hhjjjxmznfncnf f cucbc

Answers

Answer:

Step-by-step explanation:

y/7.5=11/10

y=7.5(11)/10

y=8.25mm

10 POINTs!! Please give some sort of explanation

Answers

Answer:

B

Step-by-step explanation:

She starts each week with 108 phones to fix.

Since this is true, you can use the formula to figure this out.

Hope this helps!

A scientist studied the migration pattern of two types of whales.

Humpback Whales traveled 2,240 miles in 28 days.

Gray Whales traveled 2,368 miles in 32 days.



If the Humpback Whales had traveled at the same rate for 32 days, how many more miles would they have traveled than the Gray Whales?

Answers

Answer:

not sure

Step-by-step explanation:

its wird

q÷ 6 = 4 plzzzz helppp I need answerss ASAP

Answers

Answer:

q=24

Step-by-step explanation:

the opposite of division is multiplication so 4x6=24. then you check this by of course imputing your answer into the equation. 24 ÷ 6 =4

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