To understand the differences between the three definitions of Acids and Bases
Identify acids, bases, and conjugate acid-base pairs according to the three definitions of Acids and Bases
To understand the concept of conjugate acid–base pairs in acid/base reactions
Write the equation for the proton transfer reaction involving a Brønsted-Lowry acid or base, and show how it can be interpreted as an electron-pair transfer reaction, clearly identifying the donor and acceptor.
Give an example of a Lewis acid-base reaction that does not involve protons.
This is the question that's gonna put me over the top and make me a Brainly Genius. Of course working for free doing middle school math homework doesn't really sound like a genius, but I'm doing it anyway.
This one is the Pythagorean Theorem of course:



The Shakespeare Quadratic Formula (2b or -2b) is a little shortcut for the quadratic formula when the middle term is even.

So we get

The minus root is less than -6 giving negative sides, so we reject it and conclude

Choice C
When I hit Add I officially become a Genius. Maybe I should retire.
<u>Answer:</u>
x = 5.67
<u>Step-by-step explanation:</u>
We are given a right angled triangle with a length of the hypotenuse 8 with the remaining two sides (base and perpendicular) that are equal to each other.
Assuming the two equal legs of this right angled triangle to be x, we can use the Pythagoras Theorem to find the value of x.


Taking square root at both the sides to get:


Therefore, x = 5.67.
176 square yards
Step-by-step explanation:
The picture of the question in the attached figure N 1
we know that
The area of the walkway around the rectangular pool, is equal to the area of two trapezoids (#1 and #2), plus the area of two smaller rectangles (#3 and #4)
see the attached figure N 2 to better understand the problem
step 1
Find the area of the two trapezoids (#1 and #2)
simplify
we have
substitute
step 2
Find the area of the two smaller rectangles (#3 and #4)
we have
substitute
step 3
Find the area of the walkway around the rectangular pool
If the two shortest sides of the triangle are 10in and 24in, then using Pythagoras' theorem, the longest side =
=

=

Now we know the two longest sides of the first triangle (24in and 26in) we can compare them with the two longest sides of the second triangle.
If

= the scale factor the first triangle is enlarged by then

and
⇒

Finally, we need to multiply the smallest side of the first triangle by the scale factor to find the shortest side of the second triangle.

So the length of the shortest side of the other triangle is 15in.
You could, instead, calculate the length of the shortest side of the second triangle by using Pythagoras' theorem and ignoring the first triangle completely.