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

HELP ILL GIVE BRAINLIEST

Answers

Answer:

The bottom right table

Step-by-step explanation:

A bottling company uses a filling machine to fill plastic bottles with cola. The bottles are supposed are supposed to contain 300m. In fact, the contents vary according to a Normal Distribution with mean of 298 mL and a standard deviation of 3 mL. (a) What is the probability that an individual bottle contains less than 295 mL? Show your work. (b) What is the probability that the mean contents of six randomly chosen bottles is less than 295 mL? Show your work.

Answers

Answer:

0.15866 ; 0.0071627

Step-by-step explanation:

Given that:

Mean (m) = 298

Standard deviation (s) = 3

A.) P(x < 295)

Using the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (295 - 298) / 3 = - 1

p(Z < - 1) = 0.15866 ( Z probability calculator)

B.)

Z = (x - m) / s /sqrt(n)

Z = (295 - 298) / 3/sqrt(6) = −2.449489

p(Z < - 2.449) = 0.0071627 ( Z probability calculator)

The probability will be:(a) 0.15866(b) 0.007163

Given values are:

Mean,

m = 298

Standard deviation,

s = 3

(a)

P(x < 295)

The standardized score will be:

→ [tex]Z = \frac{(x-m)}{s}[/tex]

By substituting the values, we get

      [tex]= \frac{(295-298)}{3}[/tex]

      [tex]= \frac{-3}{3}[/tex]

      [tex]= -1[/tex]

Now,

By using the Z probability calculator, we get

→ [tex]p(Z< -1) = 0.15866[/tex]

(b)

The standardized score will be:

→ [tex]Z = \frac{x-m}{\frac{s}{\sqrt{n} } }[/tex]

By putting the values,

      [tex]= \frac{295-298}{\frac{3}{\sqrt{6} } }[/tex]

      [tex]= -2.449489[/tex]

Now,

→ [tex]p(Z < -2.449)= 0.007163[/tex]

Thus the responses above are correct.

Learn more about probability here:

https://brainly.com/question/20369155

Which side lengths form a right triangle?

Answers

Answer:

abswer is b no

Step-by-step explanation:

hope it help

A square has a side length of 2.3cm if the square is dilated by a scale factor of 3 what is the length of the new side

Answers

Answer:

[tex]New\ Side = 6.9cm[/tex]

Step-by-step explanation:

Given

[tex]Length = 2.3cm[/tex]

[tex]Scale\ Factor = 3[/tex]

Required

Determine the length of the new side

This is calculated as follows:

[tex]New\ Side = Length * Scale\ Factor[/tex]

Substitute values for Length and Scale Factor

[tex]New\ Side = 2.3cm * 3[/tex]

[tex]New\ Side = 6.9cm[/tex]

Hence, the length of the new side is 6.9cm

The product of 3x2 and 5x4 is equivalent to...
A. 15x6
B. 15x8
C. 8x6
D. 8x8

Answers

Answer:

3*2=6. 5*4=20 and 6*20=120

now,

15*8=120

so the correct ans is 15*8

What is x?
Please give an explanation too.
First answer - Brainliest
20p

Answers

Answer:

x=136°

Step-by-step explanation:

x=136° ( as it's vertical angle to 136°)

76-100 vgnfhyyhfhtdfrsgtrrtrtryfhyf hi

Answers

Answer:

-24

Step-by-step explanation:

hi

Mrs. Franklin's kitchen is shaped like a rectangle. She has a scale drawing of her kitchen with dimensions 7 inches and 5 inches.

The scale of the drawing is 1/2 inch = 1 foot.

What is the perimeter of Mrs. Franklin's actual kitchen?

Answers

Answer:

48 feet

Step-by-step explanation:

7 inches = 14 feet

There are 14 halves in 7 inches.

5 inches = 10 feet

There are 10 halves in 5 inches

14+14+10+10=48

The perimeter is 48 feet

help would be nice thank you!

Answers

Answer:

Option B

Step-by-step explanation:

Given equation gives the information about the temperature in Vancouver over a period of 4 hours.

y = -2x + 43

Here 43 represents the initial temperature and (-2) represents the temperature fall in every one hour.

x = duration or time

Therefore, equation states that initial temperature when measured was 43 °F and it is dropping by 2 degrees per hour.

Option B is the answer. 

I am multiple of 70 I am between 300 and 500 I am more than a multiple of 100 who am I

Answers

Answer:

The answer is 420.

Step-by-step explanation:

The multiple of 70 lies between 300-500 has three possibilities such as 350,420,490

Answer:

420 hope this helps

Step-by-step explanation:

Write the slope-intercept form of the equation that is described below.

Through (-3, 3) and perpendicular to y = 1/3x + 5

What is the equation:

Answers

Answer:

3=-3*-3+b

3=9+b

-9 on both sides

-6=b

y=-3x-6

*-3 because the opposite of 1/3 is -3*

. A man has the choice of running either a host-snack stall or an ice-cream stall at a sea side resort during the summer season. If it is a fairly cool summer, he should make Rs. 5000 by running the hot-snack stall, but if the summer is quite hot, he can only expect to make Rs. 1000. On the other hand, if he operates the ice-cream stall, his profit is estimated at Rs. 6500, if the summer is hot, but only Rs. 1000 if it is cool. There is a 40 per cent chance of the summer being hot. Should he opt for running the hot-snack stall or the ice-cream stall. Give mathematical argument.

Answers

Answer:

The investment cost from ice cream is significantly smaller than the hot dog shop, the man could perhaps opt for something like a hot dog stall.

Step-by-step explanation:

The given values are:

Percentage of being hot summer,

= 40%  

i.e,

= 0.4

So that,

The percentage of being cold,

= 1 - 0.4

= 60%

Now,

From hot dog, the expected profit will be:

⇒ [tex]5000\times P(cold \ summer) + 1000\times P(hot \ summer)[/tex]

On putting the values, we get

⇒ [tex]5000\times 0.6+1000\times 0.4[/tex]

⇒ [tex]3400[/tex]

From ice-cream stall, the profit will be:

⇒ [tex]6500\times P(hot \ summer)+1000\times P(cold \ summer)[/tex]

On putting the values, we get

⇒ [tex]6500\times 0.4+1000\times 0.6[/tex]

⇒ [tex]3200[/tex]

So the above is the right response.

Which values are closer to 0 than -2 is? Is this set of values different from the set of values less than -2? Why?

Answers

Answer:

-1 is the only value that is closer to 0 than -2.

Step-by-step explanation:


[tex] \frac{ - 2 + 3 \times 6} 5[/tex]
I need help please ​

Answers

-2 + 3 x 6

-2 + 18

16

16/5 or 3.2

Answer:

Step-by-step explanation:

we do first the multiplication 3*6=18

-2+18=16

16/5 is your answer or 3.2

Which graph shows a proportional relationship between x and y?

Answers

Answer:

i think your answer would number 1 or number 4

Step-by-step explanation:

 

Answer:

The first one

Step-by-step explanation:

whats one plus 1 x 111111100000+y7897654323456x1

Answers

Answer:

Shoyo here!

Step-by-step explanation:

10000000000000000000000000000000

If an arithmetic sequence
begins with a 6 and the constant term is 2, what would be the
fourth term of the sequence?



plsssss help

Answers

Answer:

a₄ = 12

Step-by-step explanation:

To obtain the terms in the sequence add 2 to the previous term, that is

a₂ = a₁ + 2 = 6 + 2 = 8

a₃ = a₂ + 2 = 8 + 2 = 10

a₄ = a₃ + 2 = 10 + 2 = 12

Please helppppp !!!!!!!!!!! Will mark correct Brianliest !!!!!!!!!!!!!!

Answers

Answer:

the third side is [tex]\sqrt{85}[/tex]

Step-by-step explanation:

root 85 is already the simplest form

if a pet hamster is placed on a digital scale, the scale reads 1.5. What could be
the units?

Answers

Answer:

pounds?

Step-by-step explanation:

Answer:

ounces

Step-by-step explanation:

Hamsters are quite light, so it would make sense that the answer is in ounces

How many grams of protein will 7 servings provide?

Answers

Answer:

What does the serving consist of?

Step-by-step explanation:

Answer:

it depends on what the servings are

Step-by-step explanation:

What is the equation, in point intercept form, for a line that goes through (2, -6) and has a slope of -3/4


The answers are in the photo.

Oh and ignore the highlighted answer I mistakenly hit it.

I will give Brainlyist!!!

Answers

Answer:

y+6=-3/4(x-2)

Step-by-step explanation:

David and Gino each have coins with the same total value. David has a mixture of nickels and dimes, and he has 8 more nickels than he has dimes. Gino only has nickels, and he has 20 more nickels than David.

What is the value of David's coins?

A.
$1.45
B.
$1.90
C.
$0.55
D.
$1.50

Answers

Answer:

.A

Step-by-step explanation:

Use x as dimes add more 8 nickels then he add 20 nickels and then simply the nickels which is

Answer:

$1.45 = answer

Please help!! Question is in the picture

Answers

Answer: (5,8)

Step-by-step explanation:

So this is a matter of using a system of linear equations

To start if a total of 13 people got a ticket then we know that

x+y=13

x and y being explained in the problem

then if adult tickets are $40 and children tickets are $20 and the total cost is 360 we can set up the next equation

40x+20y=360

If you were to plug in 1 lets say into x that means that 1 person bought a ticket for $40 this shown by 40 (1) this is the same premise for the childrens tickets.

now we have

x+y=13

40x+20y=360

now we can solve by eliminating one of the variables this is done by either getting rid of the x or y and solving for the other. I solved for the y value first this looks like

-40(x+y=13)

40x+20y=360

Distribute the -40 to each value

giving you

-40x-40y=-520

40x+20y=360

add these together from the top down

the x's cancel leaving

-20y=-160

then isolate the y value by dividing both sides by -20

-20y/-20=-160/-20

leaving you with your y point

y=8

This is how many childrens rickets were sold now we can plug into the first linear equation

x+8=13

now easy subtration to isolate the x point

x+8-8=13-8

x=5

Finally leaving you with point (5,8)

the answer is point (5, 8)

Use the figure below to determine what is RU

Answers

Answer:

20

Step-by-step explanation:

8x=6x+5 (subtract 6x from both sides)

2x =5 (divide by 2 both sides)

x=2.5

8x= 8*2.5 = 20 (substitute 2.5 for x)

or 6x+5 = 6(2.5)+5 = 20 (substitute 2.5 for x)

Of 800 people who visited the zoo on Monday 65 percent were children. How many visited the zoo on Monday?

Answers

Answer:

520 are kids and 280 are adults

Step-by-step explanation:

Answer:

[tex]\huge\mathtt{{\colorbox{silver}{ANSWER~~~↴}}}[/tex]

if 800 people visit zoo

64% were children

so = 65/100 ×800

65×8=520

no of children =280

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

Direct Variation, Constant of Proportionality, and Constant Rate of Change all represent linear proportional relationships.

In the equation LaTeX: y=kx what does each variable represent.


Answers

Answer:

y = dependent variable

k = constant of proportionality or constant rate of change

x = independent variable

Step-by-step explanation:

The equation, [tex] y = mx [/tex] represents a direct variation showing a proportional relationship between variable y and variable x.

y represents the dependent variable

k represents the constant of proportionality or constant rate of change

x represents the independent variable

who wants to be my tutor?????? like actuallly

Answers

Answer:

whatchu need help wit?

Step-by-step explanation:

PLEAAseeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

[tex]1.25\cdot10^{5}[/tex] [tex]or[/tex] [tex]125000[/tex]

Step-by-step explanation:

[tex]--------------------------------------------[/tex]

[tex]1)[/tex] [tex]64\cdot10^{6}[/tex] = [tex]64000000[/tex]

[tex]2 )[/tex] [tex]32\cdot10^{6}[/tex] = [tex]32000000[/tex]

[tex]3)[/tex] [tex]16\cdot10^{6}[/tex] = [tex]16000000[/tex]

[tex]4)[/tex] [tex]8\cdot10^{6}[/tex] = [tex]8000000[/tex]

[tex]5)[/tex] [tex]4\cdot10^{6}[/tex] = [tex]4000000[/tex]

[tex]6)[/tex] [tex]2\cdot10^{6}[/tex] = [tex]2000000[/tex]

[tex]7)[/tex] [tex]1\cdot10^{6}[/tex] = [tex]1000000[/tex]

[tex]8)[/tex] [tex]5\cdot10^{5}[/tex] = [tex]500000[/tex]

[tex]9)[/tex] [tex]2.5\cdot10^{5}[/tex] = [tex]250000[/tex]

[tex]10)[/tex] [tex]1.25\cdot10^{5}[/tex] = [tex]125000[/tex]

[tex]--------------------------------------------[/tex]

The way I solved this question was by dividing each scientific form by two.

[tex]--------------------------------------------[/tex]

Hope this helps! <3

[tex]--------------------------------------------[/tex]

PLEASE HELP!!!
The ratios 12:24, 15:30, and 18:36 form a pattern of equivalent ratios in the multiplication table below.

A multiplication table.

Which method can find other equivalent ratios for this pattern?
Multiply 3 and 6 by the same factor, and write the products as a ratio.
Multiply 2 and 8 by the same factor, and write the products as a ratio.
Multiply 4 and 6 by the same factor, and write the products as a ratio.
Multiply 1 and 8 by the same factor, and write the products as a ratio.

Answers

Answer:

A

Step-by-step explanation:

Trust me on this.

Can I have brainlest, also I hope you do well!

Answer:

Multiply 3 and 6 by the same factor, and write the products as a ratio.

Step-by-step explanation:

because i have dun it

6 yd
8 yd
What is the length of the hypotenuse?
C =
yards

Answers

C = 10 yards because hypotenuse formula is a^2 + b^2 = c^2

Answer:

The length of the hypotenuse is 10 yards.

Step-by-step explanation:

Given that this is a right triangle, you could apply the Pythagorean Theorem to it. Although I'm not exactly sure, given as there's no indication in your question.

The Pythagorean Theorem is a^2 + b^2 = c^2, for context.

So, 6^2 + 8^2 = ?^2.

6^2 = 36

8^2 = 64

64 + 36 = 100

However, 100 isn't the side length of c, it's c squared. To "unsquare" it, you need to find the square root of it.

In this case, the square root of 100 is 10.

6^2 + 8^2 = 10^2. Makes sense, right?

36   + 64  = 100

Hope this helps.

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