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Answer:

Hypotenuse^2 = Opposite^2 + Adjacent^2

Step-by-step explanation:

Here hypotenuse is c, opposite is a and adjacent is b.

c^2 = a^2 + b^2

16^2 = a^2 + 12^2

a^2 = 16^2 - 12^2

a^2 = 112

a = √112 or 10.58

As the question uses inches I think it would be better if you wrote 10.58 in.

Hopefully this helps!!

Answer:

the statement is not reversible

Step-by-step explanation:

Hi there!

We are given the statement "if x=3, then x²=9"

In this case, the hypothesis (p) is x=3, while the conclusion (q) is x²=9

Reversing the statement would make it so that q is first, then p is after.

In other words, if the statement was originally "if p, then q", then the reverse of that statement would be "if q, then p"

This is known as the CONVERSE of the statement. Sometimes, the converse is true, but not always. If both the statement and the converse are true, then it's known as a BICONDITIONAL, where it works both ways

So we'll need to test if the following statement "if x²=9, then x=3" is true

If you subtract 9 from both sides, x²=9 becomes this equation:

x²-9=0

Using the square of differences formula, where x is a and 3 (square root of 9) is b:

(x-3)(x+3)=0

Now using zero product property:

x-3=0

Add 3 to both sides

x=3

AND:

x+3=0

Subtract 3 from both sides

x=-3

We see that the answers from this equation are x=3 and x=-3.

*if you plug 3 and -3 back in the equation, we can see they both work. Remember that x² is equal to x*x, or (x)²:

If x=3:

(3)²=9

(3)(3)=9

9=9

If x=-3:

(-3)²=9

(-3)(-3)=9

9=9

Hence, the statement doesn't work in the converse

The option "the statement is not reversible" is not the answer.

Hope this helps!

Answer:

The car loses $5,635 every year. Multiply 24,500 by 23% (0.23)

Answer:

6.02

Step-by-step explanation:

Answer:

x=-12

Step-by-step explanation

1.3x+3.9-12.4=-24.1

1.3x+3.9=-11.7

1.3x=-15.6

x=-12

Answer:

77/12

Step-by-step explanation:

11×7/ 4×3

77/4×3

=77/12

Answer:

check the file to see the answer i added a screen shot of the answer

Step-by-step explanation:

Answer:

you do y2-y1/x2-x1 for each ordered pair and if you get the same its parrallel, if the answers are opposite then they are perpendicular, and otherwise they are neitherStep-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant   3 • -20 = -60  

Step-2 : Find two factors of  -60  whose sum equals the coefficient of the middle term, which is   -11 .

     -60    +    1    =    -59  

     -30    +    2    =    -28  

     -20    +    3    =    -17  

-15    +    4    =    -11  

                           That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -15  and  4  

                    3x2 - 15x + 4x - 20

Step-4 : Add up the first 2 terms, pulling out like factors :

                   3x • (x-5)

             Add up the last 2 terms, pulling out common factors :

                   4 • (x-5)

Step-5 : Add up the four terms of step 4 :

                   (3x+4)  •  (x-5)

            Which is the desired factorization

[tex] \: \: \: \: \: [/tex]

[tex](x,y) = ( - 8,0)[/tex]

[tex] \: \: \: \: [/tex]

Answer:

[tex]y+6=\frac{2}{5} (x+5).[/tex]

Step-by-step explanation:

1) the common form of the point-slope form is y-y₁=s(x-x₁), where s - the slope, (x₁;y₁) - the point belongs to the required line;

2) if s=2.5; x₁= -5; y₁= -6, then the required equation is:

y+6=2/5(x+5).

Answer: 0.29

Step-by-step explanation:

Divide x by y.  See attachment.

Answer:

if $15.98----> 2kg

$x --------> 7kg

cross multiply

$x= (15.98 x 7)/2

x = $55.93

Answer:

The table is proportional.

Step-by-step explanation:

When you multiply x by 3 the answer is y.

2 x 3= 6

3 x 3= 9

4 x 3= 12

5 x 3= 15

Answer:

Whats the badword anwser when its been a year you need to tell us badword

Step-by-step explanation:

Step-by-step explanation:

2.5m is the answer god bless you make me bfai list

The required height would be 2 meters in the given cylinder.

A cylinder's surface area is defined as the amount of specific relevance by the horizontal plane of the cylinder's bases and the curved surface of the cylinder. The overall surface area of the cylinder includes the area of the cylinder's two circular bases as well as the area of the curving surface.

The surface area of the cylinder is: A = 2πr(r+h)

where 'r' is the radius of the base (circle) of the cylinder

'h' is the height of the cylinder

The surface area of a cylinder is 50.24 m² and its radius is 2 m.

⇒ A = 2πr(r+h)

Here A = 50.24 m² and r = 2 m

⇒ 50.24 = 2(3.14)(2)(2+h)

⇒ 50.24 = (12.56)(2+h)

⇒ 50.24 /(12.56) = (2+h)

⇒ 4 - 2 = h

Therefore, the required height would be 2 meters in the given cylinder.

Learn more about the surface area of a cylinder here :

https://brainly.com/question/14827013

#SPJ2

The question seems to be incomplete the correct question would be

The surface area of a cylinder is 50.24 m² and its radius is 2 m. What could its height be?

Answer:

  dilation by a factor of 1/3 about the origin

Step-by-step explanation:

Triangle B has 1/3 the dimensions of triangle A, and it is 1/3 as far from the origin. The transformation of interest is ...

  dilation by a factor of 1/3 about the origin

Answer:

what do you need help with

Answer:

45⁰

according to question the answers is given here in the image / attachment . please follow these steps.

this is my attachment answer hope it's helpful to you

Answer:

y = -x

Step-by-step explanation:

Answers 1 and 4 have an offset (+2 and -1) that interferes.  x = 2 is not a proportion.  It is simply a statement that x = 2.  It is not allowed in the high stakes room.

Answer:

Graph 2

Step-by-step explanation:

Graph two is not a function because it does not pass "the vertical line test", which is a method of determining if a graph is a function or not. To do this, we use our pen to check that for every x value there is only one y value. In graph two, however, this is not the case.

Answer:

10 year old

Step-by-step explanation:

because the 10 year old has a better developed body than a 5 year old.

Hope this helps, have a nice day/night! :D

Answer:

2) f(3) = 2(3)+4

Step-by-step explanation:

Answer:

Step-by-step explanation:

First Pair.

If you divide the top equation by 3 you get

x + 2y = 12

x + y = 7          From that I get that y = 5

Second pair

Do the same thing to the top equation only this time divide by 6

x + 2y = 4                

x + y = 7

If you subtract again you get y = - 3

Step-by-step explanation:

expand and multiply the terms

Answer:

8 * 6 * 2 = 96

Step-by-step explanation:

It's a multiplication problem. 8 * 6 = 48 * 2 = 96

The rectangular prism is 96m.