The sum of the two sides of a right angle is 16 cm. What is the length of each of the
two sides if the square of the hypotenuse is a minimum?

Answers

Answer 1

Answer:

4/15~15.5

Step-by-step explanation:

In a right triangle, the sum of the squares of the

lengths of the legs is equal to the square of the length

of the hypotenuse. The length of the hypotenuse is 16

and the lengths of the legs are 4 and x.


Related Questions

The sum of two numbers is 1633 and their difference is 35. Find the 2 numbers using simultaneous equation.
Please show working out

Answers

Answer:

Please Mark As Brainliest!!

834 and 799

Step-by-step explanation:

x+y=1633

x-y=35

2x= 1668

x=834

y=799

Answer:

((819.458,813.542)

Step-by-step explanation:

sum of two numbers=1633

x+y=1633----equation (i)

their difference=35

(x-y)^2=35----equation (ii)

solve simultaneous equation by using substitution method

x+y=1633

make x the subject of the formula

x=1633-y---(i)

substitute equation (i)into (ii)

(x-y)^2=3

(1633-y-y)^2=35

(1633-2y)^2=35

apply square root both sides

√(1633-2y)^2=√35

1633-2y=√35

-2y=√35-1633

-2y=-1627.08392

divide both sides by -2

y=813.5419601

substitute the value of y in equation (i

x=1633-y

x=1633-813.5419601

x=819.4580399

therefore the two numbers are (819.458, 813.542)

what is the answer to 3(4x-5)

Answers

Answer:

12x - 15

Step-by-step explanation:

3 times 4x is 12x

3 times -5 is -15

therefore, 12x - 15

(3 • 4x) - (3x5)

12x - 15

Hope this helps

Is it scaling isosceles or equilateral and what is the answer

Answers

Answer:

[tex]scalene[/tex]

Step-by-step explanation:

[tex]\textsf{Sum of internal angles;}[/tex]

  [tex]71+50+6x-1=180[/tex]

 [tex]6x-1=180-71-50[/tex]

  [tex]6x-1=59[/tex]

the answer is scalene. please mark me brainliest^^^!

What is the slope of the line whose equation is: y = 2/5x - 5?

Answers

The slope is 2/5. Rise 2 and run 5

Ani teaches 25% of the 4 year-olds at her school. There are 60 4-year- olds. Ani also teaches 20 3-year- olds. How many students does Ani teach altogether ?

Answers

Answer:

[tex]35[/tex] students

Step-by-step explanation:

Given information:

- There are 60 4 year-olds, Ani teaches 25% of them.

- Ani also teaches 20 3 year-olds.

Total students:

[tex]25\%\times60 = 15[/tex] 4 year-olds

[tex]15+20 = 35[/tex]

∴ Ani teaches [tex]35[/tex] students in total

Hope this helps :)

Write an equation in slope-intercept form which has a slope of 1/4 and crosses the Ÿ-axis at (0,7)

Answers

Answer:

y= 1/4 x +7

Step-by-step explanation:

The slope intercept form of a line is

y = mx + b where m is the slope and b is the y intercept

the slope is 1/4 and the y intercept is 7

y= 1/4 x +7

Jim and Carla are scuba diving. Jim started out 8 feet below the surface. He descended 20 feet, rose 7 feet, and descended 12 more feet. Then he rested. Carla started out at the surface. She descended 15 feet, rose 7 feet, and descended another 20 feet. Then she rested. Which person rested at a greater depth?

Answers

Answer:

Jim.

Step-by-step explanation:

Descending results in a greater depth so we add the measurements when they descend and rising results in a lower depth so we minus the measurements when they rise. The surface area has no depth yet, so it is 0 feet depth.

Jim = 8 + 20 - 7 + 12

     = 33

Carla = 0 + 15 -7 + 20

         = 28

Since 33 feet is deeper than 28 feet, Jim rested at a greater depth.

Considerando las siguientes variables a = ancho y l = longitud, determina su valor, si se sabe que se cuenta con un rectángulo que tiene como perímetro 35 metros, y se sabe que el doble de su ancho es igual a 3 veces su longitud.

Answers

Answer:

La longitud = 7 metros

La anchor = 10.5 metros

Step-by-step explanation:

La fórmula para el perímetro de un rectángulo es

P = 2L + 2W

L = longitud

A = ancho

P = 35 metros

se sabe que el doble de su ancho es igual a 3 veces su largo.

2A = 3L

Ancho = 3L / 2 = 1.5L

Sustituimos 1.5L por W

35 = 2 L + 2 (1.5 L)

35 = 2L + 3L

35 = 5 litros

L = 35/5

L = 7 metros

Por lo tanto, la longitud = 7 metros

Recuerda

A = 1.5 L

A = 1.5 × 7

A = 10.5 metros

La anchor = 10.5 metros


What is the slope of the line do the point for me to?

Answers

Answer:

Step-by-step explanation:

we can see that the line goes thru the point (-1,2) and (4,-2) now to find slope we just find change in y over change in x

more visually:

(y1-y2)/(x1-x2)

so for the point (-1,2) let’s say

-1 = x1

and

2 = y1

and for the point (4,-2) let’s say

4 = x2

and

-2 = y2

to find slope we plug in the values to our slope equation and we get this:

(2-(-2))/( -1-4)

(2+2)/-5

4/-5

so slope is -4/5

because to get from (-1,2) to (-4,-2) you have to move down 4 and to the right 5

A bag contains only red, blue and green counters.
There are 120 counters in the bag.
The probability of choosing a red counter is ¼ and the probability of choosing a blue
counter is 0.2
How many green counters are in the bag?

Answers

Answer:

         

Step-by-step explanation:  

   

Answer:

66

Step-by-step explanation:

Red counters: 120/4=30

Blue counters:120/5=24

Green counters:30+24=54, 120-54=66

Micah who is not yet 15 years old, is two years older than DeMonte.


How old is DeMonte?
x = the age of Micah

y = the age of DeMonte

Answers

Answer:

DeMonte is 12

Step-by-step explanation:

If Micah is not yet 15 than he is 14 so 14 - 2 is 12 since DeMonte is two years younger than Micah.

12 points
8. Javier worked out the following on his math homework: "What
equation best represents the relationship between x and y in the graph?"
Javier's answer was y= - 4x - 2. Is he correct? If not, explain what he did
wrong AND give the correct answer. (This question will be hand graded) *
1096
2716810
M

Answers

i think it’s correct already !!

Hannah buys 13 bottles of orange juice at the corner store for a total of $13.65. if each bottle cost the same amount, how much is each bottle of juice

Answers

It is 1.05 use division to answer this
1.05 because if you divide 13.65 by 13 you get 1.05

If you ask a question will the points given ne deducted from your points​

Answers

Answer:

I think so yeah. not sure though

Answer:

I think I kinda get this question but can you be a little more...Specific?

Step-by-step explanation:

Which ratio is equivalent to 5:9?
9:45
25:81
27:15
30:54

Answers

sorry but none are correct

Answer:

The Answer is D 30:54

Step-by-step explanation:

5 times 6 is 30 and 6 times 9 is 54

PLEASE HELP FAST I WILL GVIE BRAINLIST AND EXTRA MARKS FOR CORRECT ANSWER! THANKS

Answers

Answer:

f(-2) = 2

Step-by-step explanation:

Look at the graph and find -2 on the x-axis and see what the y-coordinate is on the line where x is -2. When you do this, you can see that where x is -2, y is 2.

So basically it wants the y-value :)

Answer:

1.25

Step-by-step explanation:

the answer is 1.25. To get that, I found the slope, wrote the equation in point slope form, and then I calculated when the f(x) function hits the line

help please i’ll give brainlest and lots of points

Answers

Answer:

1+1=2 so that's the answer

What is the quotation (-3)^0/(-3)^2

Answers

Hey there!

(-3)^0 / (-3)^2

(-3)^0 = 1 ⬅️ Numerator

(-3)^2 = (-3)(-3) = 9 ⬅️ Denominator

Answer: 1/9 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

transversals angles​

Answers

B. 2 because it is inside and on the same side as 1

can someone help me. Arithmetic Sequences
Your bucket of Halloween candy has 125 pieces of candy in it. You decide that to ration yourself, you’re going to only eat 5 pieces per day.

What is the common difference?

Answers

Answer:

-5

Step-by-step explanation:

when you eat 5 pieces of candy per day then the sequence will be

125, 120, 115, 110, 105......

And Then, the common difference will be -5

The length of the deck is 3 times it’s width. If the decks perimeter is 16 ft what is the decks area

Answers

Answer:

12 ft²

Step-by-step explanation:

Givenl = 3wP = 16A = ?Solution

Use perimeter formula

P= 2(l + w) = 2(w + 3w) = 8w

Find width:

8w = 16 ⇒ w = 2 ft

Find length:

l = 3*2= 6 ft

Find area:

A = lw = 6*2 = 12 ft²

What is the place the 8 is in in the number 38,341,097.54

Answers

It’s in the Millions place


[tex] - 20x - 5[/tex]
what does equal
[tex]x[/tex]

Answers

It equals 4 hhnug flight


Help? I would appreciate it

Answers

Answer:

$6.50 per candle

Step-by-step explanation:

19.50 / 3 = 6.50

Answer:

$6.50

Step-by-step explanation:

$19.50 divided 3 is 6.50

A line passes through the points (-8,-4) and has a slope of 5/4.​

Answers

The answer is y=5/4x+6

what is the range of the data 79, 52, 85,94, 71, 82, 84, 66, 58, 98, 72, 100

Answers

Answer:

48 pllz can i have brainiest plzz

Step-by-step explanation:

Answer:

48 is a answer

Step-by-step explanation:

formula for range is highest - lowest

100 - 52

48

what's b ? plz help ​

Answers

58 i think

58*2+64=180

Mr. M has a recipe for sourdough bread. He uses 8/3 cups of flour to make 2 loaves of sourdough bread. If you were to follow the same recipe, which equation would work for making y loaves of bread with x cups of flour?

Answers

Answer:

2y=8/3x

Step-by-step explanation:

Find the value of x. Round your answer to the nearest tenth.

Answers

Answer:

x=5.7

Step-by-step explanation:

sin(35=x/10

PLS HELP ASAP! <3 sorry for caps

Answers

Answer:

the answer would be 224/2

Step-by-step explanation:

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