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mojhsa [17]
3 years ago
6

Find the hypotenuse,c, of the triangle!

Mathematics
1 answer:
Ulleksa [173]3 years ago
4 0

Answer:

B

Step-by-step explanation

a squared plus b squared equals c squared.

16 plus 144 equal 160.

now square 160

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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
What is the common difference of the sequence -31, -23, -15?
zysi [14]
The common difference is essentially what u need to add to one number in the sequence to get the next


So previous number + common difference = next number after that

The common difference would be -8
5 0
3 years ago
What is an equation of a parabola with a vertex at the origin and directrix x=4.75?
patriot [66]
An equation for the parabola would be y²=-19x.

Since we have x=4.75 for the directrix, this tells us that the parabola's axis of symmetry runs parallel to the x-axis.  This means we will use the standard form

(y-k)²=4p(x-h), where (h, k) is the vertex, (h+p, k) is the focus and x=h-p is the directrix.

Beginning with the directrix:

x=h-p=4.75
h-p=4.75

Since the vertex is at (0, 0), this means h=0 and k=0:

0-p=4.75
-p=4.75
p=-4.75

Substituting this into the standard form as well as our values for h and k we have:
(y-0)²=4(-4.75)(x-0)
y²=-19x
4 0
3 years ago
Find the area to the nearest square foot of the shaded region below, consisting of a square with a circle cut out of it. Use
Simora [160]

Answer:

the area is 10 feet by 10 feet, 100 feet²

subtract the area of the circle from this.

you get it by A = r² * pi

so 5² * 3.14159...

=78.5398163397

100-78.5398163397

is roughly 21.46 square feet

7 0
3 years ago
Ten coins weigh 25 grams how much does 1 coin weigh
kykrilka [37]
You need to divide here! Ok so if ten coins weigh twenty five grams, we need to do:
10÷25=?
Its easy if its ten you just shift the places. !0 divided by 25 is 2.5
8 0
3 years ago
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