Find the length of side a.

Answer:

Step-by-step explanation:

What is the equation???

14, 21

Step-by-step explanation:

Let the two consecutive multiples be 7n and 7(n+1).

Now, it is given that:

(7n)² + [7(n+1)]² = 637

Simplifying,

49n² + (7n+7)² = 637

49n² + 49n² + 2(7n)(7) + 49 = 637

(as (x+y)² = x² + y² + 2xy)

98n² + 98n + 49 = 637

98n² + 98n - 588 = 0

Dividing by 98 to further simplify,

n² + n - 6 = 0

Factorising, we get

n² + 3n - 2n - 6 = 0

n(n+3) - 2(n+3) = 0

(n+3)(n-2) = 0

Therefore we get n = -3 or n = +2.

Hence, we get the consecutive multiples as 14 and 21.

Feel free to ask if you didn't understand any part.

Hope this helps! :D

Answer:

No

Step-by-step explanation:

the pythagorean theorem is

a^2+b^2=c^2

These numbers do not fit in these terms

Answer:

It doesn't.

Step-by-step explanation:

In order for something to be a {ythagorean triple, it must comply with the Pythagorean theorem, which is a² + b² = c²

Always remember, when plugging in the values into that equation, the exponent of two means to square the number, and a and b have to be the two smallest values (in this case, 6 and 12)

6² = 36

12² = 144

36 + 144 = 180

Now, we have to find if ti equals c². 13² equals 169

Therefore, 180 ≠ 169, therefore it IS NOT a Pythagorean triple.

Answer:

Correct answer

V(t) = 25000(0.86) t

Step-by-step explanation:

You wont turn 14% into a multiplier (1.14 - multiplier) becuase the value decreases not increases so you do 100% - 14% to get 86% and divide by 100 to get 0.86...that's the value that goes in the brackets

Answer: 36.9

Step-by-step explanation:

For this question you have to find out whether you are using Sin, Cos or Tan.

To work out which one you are using you can use SOH CAH TOA to help you.

SOH- The 'S' is for Sin, the 'O' and the 'H' is for Opposite over Hypotenuse.

CAH- The 'C' is for Cos and the 'A' and the 'H' is for Adjacent over Hypotenuse.

TOA- The 'T' is for Tan, the 'O' and the 'A is for Opposite over Adjacent.

As you have the Opposite (the side opposite the angle we're looking for) and the Adjacent (the side next to the angle were looking for) we would be using Tan.

So first you would have to write:

Tanθ=3/4

Then because we want Theta (θ) on it's own we would have to do the inverse to 'undo' the equation. Tan-1 is the inverse of Tan.

θ=Tan-1 3/4

To find the answer you would have to put it in your calculator.

θ=36.9

Hope this helps :)

Answer:

Step-by-step explanation:

a= v/t, where v is the speed and t is the time

a=8/4= 2 m/s^2

Answer:

Yes, all your answers are correct.

They are correctly matched with their reasons.

Answer:

.68

Step-by-step explanation:

Answer:

the first one is -9/40. the second one is 109/20. the third one is -8/35.

Step-by-step explanation:

here is the work for the first one 3/8-.6 and convert into a simplified fraction and came up with -9/40. here is the work for the second one 4 4/3+0.7 and then convert into a simplified fraction and came up with 109/20. here is the work for the third one 4/7-0.8 and then convert into a simplified fraction and came up with -8/35.

Answer:

Step-by-step explanation:

|14-(6-x)| = |14-6+x| = |8+x|

|8+x| = 8+x if x > -8

|8+x| = -x-8 if x < -8

|8+x| = 0 if x= -8

Answer:

72.25

Step-by-step explanation:

12.5 x 8.5 = 106.25

5 x 6.75 = 33.75

106.25- 33.75 = 72.25

Answer: H

Step-by-step explanation:

You're tryna find the area of the wall

Which is the whole surface area minus the door's area

Whole surface area = 8.5 x 12.5 = 106.25

Door area = 5 x 6.75 = 33.75

106.25-33.75 = 72.5 ft^2

ALSO REMEMBER ITS FEET SQUARED

Units are very important just to let you know especially in physics

If you don't get the units to be same then its going to be one heck of a problem

okay no more ranting hope u like my answer

Answer:

24 degrees

Step-by-step explanation:

Answer:

62 degrees

Step-by-step explanation:

you need to understand the def.ang.biscectors, it is going to mean if a life bisects another line, the two angles on one side will add up to 180

therefore

180-118=62

Answer:

Domain: 0 minutes to time it takes to fill. Range: 0 to a 10,000 gallons

Step-by-step explanation:

The domain will be from 0 minutes to time it takes to fill i.e., 1000 and range will be from 0 to 10000 gallons.

It is given that a hose fills 10000 gallon swimming pool at rate of 10 gallons per minute.

We have to find the domain and range.

What do you mean by domain and range ?

The domain is the set of all values for which the function is defined and the range of the function is the set of all values that function takes.

As per the question ;

Capacity of swimming pool = 10000 gallons

Rate of filling = 10 gallons per minute

So ;

Time taken in filling the swimming pool will be ;

= 10000 / 10

= 1000 minutes

So ;

The domain will be from 0 to 1000 minutes i.e., time taken to fill the swimming pool.

Whereas ;

The range will be from 0 to 10000 gallons i.e., amount of swimming pool filled.

Thus , the domain will be from 0 minutes to time it takes to fill i.e., 1000 and range will be from 0 to 10000 gallons.

To learn more about domain and ranges click here ;

https://brainly.com/question/26098895

#SPJ2

Answer:

3

Step-by-step explanation:

Answer:

A is the only function because it passes the vertical line test. 1 x may only have 1 y

Step-by-step explanation:

Answer:

460

Step-by-step explanation:

Answer:

460

Step-by-step explanation:

☁️ Answer ☁️

Exact form:

17/12

Decimal:

1.416

mixed:

1 5/12

Hope it helps.

Have a nice day hyung/noona ￣▽￣

Answer:

This question is incomplete since you did not provide the options needed. Anyway, I will give you an explanation that will be useful for you to understand this.

Step-by-step explanation:

Understanding what a function is will allow you to have more clarity when solving the functions exercises and you will be prepared to understand more concepts that surround functions such as domain, image, relative extremes, their representation on the axes, etc.

A function is a relationship between two variables, one independent (x) and the other dependent (y) and for each value of x there corresponds ONE SINGLE VALUE OF y.

For example :

f(x) = 3x2 + 1

Answer:c

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\sqrt[3]{x+4}+\sqrt[3]{2x +8}=0\\\\\sqrt[3]{x+4}= -\sqrt[3]{2x + 8}\\\\(x +4)^{\frac{1}{3}}=-(2x+8)^{\frac{1}{3}}\\\\[/tex]

Take cube,

[tex][(x+4)^{\frac{1}{3}}]^{3} =- [(2x +8)^{\frac{1}{3}}^{3}]\\\\(x+4)^{3*\frac{1}{3}}=-(2x + 8)^{3*\frac{1}{3}}\\\\[/tex]

x + 4 = - (2x + 8)

x +4 = 2x *(-1) + 8 *(-1)

x+ 4 = -2x - 8

x +2x+4 = - 8

3x + 4 = - 8

      3x = - 8 -4

      3x = -12

        x = -12/3

x = -4

Answer:

x = -3.

Step-by-step explanation:

2^x = 0.125

Taking logs:

x ln 2 = ln 0.125

x = ln 0.125 / ln 2

x = -3

Answer:

(x + 6) (x - 1)

Step-by-step explanation:

2x² + 10x - 12

dividing by 2,

x² + 5x - 6

x² - x + 6x - 6

x(x - 1) + 6(x - 1)

(x + 6) (x - 1)

x = -6 or x = 1

Answer:

think its two cuz i found a shape that matches ur questions

Answer:

4/76 or simplified as 1/19

Step-by-step explanation:

5/20 is for the probability of the first balloon

4/19 is for the probability of the second balloon

5/20 can be simplified to 1/4 so 1/4 x 4/19 = 4/76

4/76 can also be simplified to 1/19