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Gwar [14]
3 years ago
15

(PYTHAGOREAN THEOREM)

Mathematics
1 answer:
tiny-mole [99]3 years ago
5 0
First draw a picture (see attached).

You want to find the diagonal of the cube, length AB.
The right triangle formed is trianagle ABD.
AD = 10m

DB will be the hypotenuse of triangle BCD.
(BC)^2 + (CD)^2 = (DB)^2 \\ 
(10)^2 + (10)^2 = (DB)^2 \\
DB =  \sqrt{200}= 10 \sqrt{2}.

If we know the length of AD and DB, we can find AB.
(AD)^2+(BC)^2 = (AB)^2 \\
(10)^2 + (10 \sqrt{2})^2 = (AB)^2 \\
AB =  \sqrt{300} = 10 \sqrt{3}

In fact, the diagonal of any cube is √3 times the side length of the cube.
Let <em>s</em> be the side length (as in AD or CD in the attached) and
h be the hypotenuse of the base, (DB in the attached) and
<em>d</em> be the diagonal of the cube (AB in the attached).

The hypotenuse of the base will be:s^2+s^2 = h^2 \\&#10;.

The cube's diagonal will be:
h^2+s^2 = d^2.

Substituting s^2+s^2 as h^2, you have
s^2+s^2+s^2 = d^2 \\&#10;3s^2 = d^2 \\&#10;d =  \sqrt{3s^2} =  s\sqrt{3}

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25 Points!
Vlada [557]

The least value is 1, the greatest value is 7, and the median is 2.

<h3>How to calculate the median?</h3>

From the information given, the number of dogs is 7, cats are 5, parrots are 2, hamsters are 2, fish is 1, pig is 2 while turtle is 0.

The median is the number in the middle when the numbers are arranged in ascending or descending order. The numbers will be 0, 1, 2, 2, 2, 5, 7. Therefore, the median is 2.

Also, by looking at the picture attached, the least value is 1, the greatest value is 7.

Learn more about median on:

brainly.com/question/26151333

#SPJ1

8 0
2 years ago
If x^2 - 16 &gt; 0, which of the following must be true?
zimovet [89]
The left hand side of the equation is a difference of two squares and may be factored out as follows,
                              (x - 4)(x + 4) > 0
They may be individually taken as,
                                     x - 4 > 0    ; x > 4
                                     x + 4 > 0   ; x < -4
Thus, the answer to this item is letter A. 
5 0
3 years ago
URGENTEE. NON SO RISOLVERE QUESTO PROBLEMA.
Marrrta [24]

the question in English


Draw a rectangle having the base congruent to the nine sevenths of the height.

Let

b-------> the base of rectangle

h-------> the height of rectangle

we know that

b=(9/7)*h-------> this is the equation to obtain the base of the rectangle for a given height

examples

1) for h=7 units

b=(9/7)*7-------->b=9 units

the dimensions are 9 units x 7 units------> see the attached figure

2) for h=5 units

b=(9/7)*5-------->b=(45/7) units

the dimensions are (45/7) units x 5 units

The answer in Italian

Facciamo

b-------> base del rettangolo

h-------> altezza del rettangolo

Noi sappiamo che

b=(9/7)*h-------> questa è l'equazione per ottenere la base del rettangolo per una determinata altezza

esempi

1) per h=7 units

b=(9/7)*7-------->b=9 units


le dimensioni sono 9 units x 7 units-----> vedere la figura allegata

2) per h=5 units

b=(9/7)*5-------->b=(45/7) units


le dimensioni sono (45/7) units x 5 units

4 0
2 years ago
Jeri's lawn service charges an initial fee of $4.50 plus $3 an hour. If she is asked to
STALIN [3.7K]

Answer:

5 hours 22 minutes

Step-by-step explanation:

Let us represent the number of hours that Jeri worked as: h

Jeri's lawn service charges an initial fee of $4.50 plus $3 an hour

= $4.50 + $3 × h

= $4.50 + 3h

If she is asked to start before 7 a.m. Jeri charges 1.5 times the regular amount.

= 1.5 × ($4.50 + 3h)

If she made $29.25 on a job that began at 5 am, how many hours did Jeri work?

Hence, we have the final equation;

= 1.5 × ($4.50 + 3h) = $29.25

= 6.75 + 4.5h = 29.25

Collect like terms

= 4.5h = 29.25 - 6.75

4.5h = 22.5

h = 22.5/4.5

h = 5.3571428571

Approximately= 5.36 hours

1 hour = 60 minutes

0.36 hour =

60 × 0.36

= 21.6 minutes

Approximately ≈ 22 minutes

Therefore, Jeri worked for 5 hours 22 minutes

7 0
3 years ago
Will give brainliest!!! Please help!!! Needed now!!! I attached both questions!!!
12345 [234]

Answer:

I found the x values. Figure out the lengths by substituting the x-values!

Step-by-step explanation:

Feel free to ask if you don't understand what I'm doing here

4 0
2 years ago
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