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pantera1 [17]
3 years ago
5

what is the side length of the smallest square plate on which a 24-cm chopstick can fit along a diagonal without any overhang???

!!!!!!!
Mathematics
1 answer:
kumpel [21]3 years ago
3 0
A square is basically two triangles put together and since a square has four right angles you can use the Pythagorean Theorem to do this.

A squared +b squared <24
5 squared x 5 squared = 25

Sooooooo...... ;)
Get it?
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Please help... I have no clue
muminat

Answer:

OPTION C:  Sin C - Cos C = s - r

Step-by-step explanation:

ABC is a right angled triangle. ∠A = 90°, from the figure.

Therefore, BC = hypotenuse, say h

Now, we find the length of AB and AC.

We know that:   $ \textbf{Sin A} =  \frac{\textbf{opp}}{\textbf{hyp}} $

and    $ \textbf{Cos A} = \frac{\textbf{adj}}{\textbf{hyp}} $

Given, Sin B = r and Cos B = s

⇒    $ Sin B = r = \frac{opp}{hyp} = \frac{AC}{BC} = \frac{AC}{h} $

⇒ $ \textbf{AC} = \textbf{rh} $

Hence, the length of the side AC = rh

Now, to compute the length of AB, we use Cos B.

$ Cos B = s = \frac{adj}{hyp} = \frac{AB}{BC} = \frac{AB}{h} $

⇒  $ \textbf{AB} = \textbf{sh} $

Hence, the length of the side AB = sh

Now, we are asked to compute Sin C - Cos C.

$ Sin C = \frac{opp}{hyp} $

⇒  $ Sin C = \frac{AB}{BC} $

              $ = \frac{sh}{h} $

               = s

Sin C = s

$  Cos C = \frac{adj}{hyp} $

$ \implies Cos C = \frac{AC}{BC} $

⇒ Cos C = $ \frac{rh}{h} $

Therefore, Cos C = r

So, Sin C - Cos C = s - r, which is OPTION C and is the right answer.

5 0
3 years ago
List all pairs of congruent angles
PSYCHO15rus [73]

Congruent angles of what... be more specific please..

8 0
3 years ago
What value in place of the question mark makes the polynomial below a perfect square trinomial? x²+22x+?
strojnjashka [21]

Answer:

B. 121

Step-by-step explanation:

Complete the square.

Take half of the middle term, 22, and square it.

So 11^2 = 121.

3 0
3 years ago
Max Steel drives his 1969 Mustang 15 miles per hour. If there are 5280 feet in one mile and 60 seconds in one minute, how many f
shutvik [7]

Answer:

22 feet per second

Step-by-step explanation

15x5280=79,200

79,200/60=1320 feet per minute since 60 minutes per hour

1320/60=22 feet per second since 60 seconds per minute

8 0
3 years ago
12) Perry worked 3 hours at Pet Smart on Saturday. He gets paid an hourly rate. He got
Sloan [31]

Answer:

$8 per hours

Step-by-step explanation:

4 0
2 years ago
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