Which special version of the Pythagorean Theorem can you use to find the length of any square's diagonal, d, using only the length of its side, s?

Answers

Answer 1

Answer:

Using the Pythagorean Theorem, the length of a square diagonal, in function of it's sides s, is given by:

$d = s√(2)$

The Pythagorean Theorem relates the length of the legs $l_1$ and $l_2$ of a right triangle with the length of the hypotenuse h, according to the following equation:

$h^2 = l_1^2 + l_2^2$

In a square, as given in the figure below, the legs are the sides s, of equal measure, while the hypotenuse is the diagonal d, thus:

$d^2 = s^2 + s^2$

$d^2 = 2s^2$

$d = √(2s^2)$

$d = s√(2)$

A similar problem is given at brainly.com/question/21691542

Answer 2

Answer: the square's diagonal is the triangle's hypotenuse.

the original Pythagorean theorem is $a^(2) + b^(2) = c^(2)$ where a and b are the two sides and c is the hypotenuse.

that means the Pythagorean theorem for this question is:

$s^(2) + s^(2) = d^(2)$ or $2( s^(2) )= d^(2)$

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Mary has 50 earring boxes. The boxes measure 1 inch on each side. How many rectangular prisms, each with different-sized base, could Mary make by stacking all the earring boxes?

Answers

Since each earring box has a side of 1 inch, that means each one has a volume of 1 cu. inch. Thus, 50 cubes combined will have a volume of 50 cu. inches. That means, that the prism must have a volume of 50 cu. inches. Since for prism, the volume is L(W)(H), we can list down the possible trios that will have a product of 50. Note that 50 = 1 x 2 x 5 x 5 and hence, we can group these and come up with the following list of factor: {1, 2, 25}, {1, 10, 5}, {2, 5, 5} Therefore, there are 3 possible prisms that can be formed using the cubes. The answer is 3.

HELPPP THIS IS MY LAST ONE AND ILL GIVE YOU BRAINLIEST MWAHH

Answers

Answer:

B. 36

Step-by-step explanation:

6 + 30

Tomas correctly spelled 18 out of20 words on his last spelling quiz. What
decimal represents the portion of the
words that Tomas spelled correctly?
A. 0.18
B. 0.36
C. 0.8
D. 0.9

Answers

Answer:

0.9

Step-by-step explanation:

C. 0.8
This is because Tomas got 2 words wrong and in the grade book -2 is 80 percent also known as 0.8

What would 0.1x = 0.2 + 2 look like on a graph?

Answers

It's a vertical line, parallel to the y-axis, crossing the x-axis at the point x=22.No matter what number you choose for 'y', you'll always find that x=22 there.

Please help with these math questions part 1

Answers

volume of sphere=(4/3)pir^3

leave in terms of pi

1.
r=6.5
A=(4/3)(pi)(6.5^3)
A=(4/3)(pi)(274.625)
A=(366.166666)pi ft^3

answer is C (you are correct)

2. ok so it seems from last question that we round final answer to tenths place

ok so remember
d/2=r
18=d
18/2=9=r
A=(4/3)(pi)(9^3)
A=(4/3)(pi)(729)
A=972pi cm^3

put in 972 in blank (you are correct again)

3. aprox pi=3.14 for this question

r=3
A=(4/3)(3.14)(3^3)
A=(4/3)(3.14)(27)
A=(36)(3.14)
A=113.04 in^3

answer is C

ANSWERS

1. C
2. 972
3. C

Please show work, will mark brainliest