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?

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:

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)

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)

Given values are:

Mean,

Standard deviation,

(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

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

Answer:

Step-by-step explanation:

we do first the multiplication 3*6=18

-2+18=16

16/5 is your answer or 3.2

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)

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

Answer:

i think your answer would number 1 or number 4

Step-by-step explanation:

Answer:

The first one

Step-by-step explanation:

Answer:

-24

Step-by-step explanation:

hi

Answer:

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

Step-by-step explanation:

Answer:

Shoyo here!

Step-by-step explanation:

10000000000000000000000000000000

Answer:

whatchu need help wit?

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

root 85 is already the simplest form

Answer:

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

now,

15*8=120

so the correct ans is 15*8

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

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]

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

Answer:

What does the serving consist of?

Step-by-step explanation:

Answer:

it depends on what the servings are

Step-by-step explanation:

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

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Answer:

abswer is b no

Step-by-step explanation:

hope it help

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*

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. 

Answer:

The bottom right table

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

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

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

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.

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.

Answer:

x=136°

Step-by-step explanation:

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

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