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olya-2409 [2.1K]
3 years ago
11

What is the exact value of sin 112.5

Mathematics
1 answer:
a_sh-v [17]3 years ago
3 0

Decimal Form:

0.92387953

 

exact form (\sqrt(2+2\sqrt(2)))/(2)

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Foram prescritos 500mg de dipirona para uma criança com febre.Na unidade tem disponivel ampola de 1g/2ml.Quantos g vão ser admin
Valentin [98]

De acordo com a disponibilidade da unidade, há apenas a seguinte dosagem: 1g/2mL - ou seja, uma grama de dipirona a cada 2mL

O enunciado está meio mal formulado, pois é dito que foram prescritos 500mg de dipirona e é essa quantidade de farmaco que a criança tem que tomar. Deseja-se saber quantos mL deverao ser administrados.

Fazendo a classica regra de 3, podemos chegar no volume desejado:

(atentar que 500mg = 0,5g)

     g               mL

     1    ---------   2

    0,5  ---------  X    

1 . X = 0,5 . 2

<h3>X = 1mL</h3>

8 0
4 years ago
The graph of y=tan(x) is vertically stretched by a factor of 7, shifted a distance of 12 units to the left, reflected across the
Mekhanik [1.2K]

Step-by-step explanation:

A transformation(s) of a parent function is

f(x) = a(bx - c) + d

where a is vertical compression/stretched or reflection

B is horinzotnal compression/stretch or reflection

C is horinzontal translation

D is vertical translation.

The parent function is

y =  \tan(x)

First, we stretched this by 7

so we have

y = 7 \tan(x)

We need to shift this 12 units to the left so we have

y = 7 \tan(x + 12)

We need to reflect this across x axis so we get

y =  - 7 \tan(x + 12)

We need to shift this downwards 15 so we get

y =  - 7 \tan(x + 12)  - 15

or because tan is a odd function you could say

7 \tan( - (x + 12) ) - 15

7 \tan( - x  - 12)  - 15

6 0
3 years ago
(High points) please solve with explanation
AysviL [449]

Answer:

The area and the perimeter of the picture are:

  • <u>Area = 160 cm^2</u>
  • <u>Perimeter = 67.31 cm</u>

Step-by-step explanation:

To find the area of that figure, you can find the area how if it was a rectangle and next subtract the area of the triangle in the upper part. The area of a rectangle could be found by the next formula:

  • Area of a rectangle = base * height

As you can see in the picture, the base is 16 cm and the height is 12 cm, then we replace in the formula:

  • Area of a rectangle = 16 cm * 12 cm
  • Area of a rectangle = 192 cm^2

Now, we calculate the area of the triangle to subtract to the area we found and obtain the real area, the formula to obtain the area of a triangle is:

  • Area of a triangle = (base * height) / 2

The height of the triangle is 8 cm, and the base is 8 cm too, because you subtract to the base of the rectangle (16 cm) the measurements in the upper part (16 - 4 - 4 = 8), Now, we replace in the formula:

  • Area of a triangle = (8 cm * 8 cm) / 2
  • Area of a triangle = (64 cm^2) / 2
  • Area of a triangle = 32 cm^2

We subtract to the found area:

  • Area of the picture = 192 cm^2 - 32 cm^2
  • <u>Area of the picture = 160 cm^2</u>

To find the perimeter, you must add all the sides of the picture, but, as you can see, there is a side that doesn't have the measurent, this is the hypotenuse of the triangle used before, but how we know the other sides, we can use Pythagorean theorem:

  • a^{2}+b^{2}=c^{2}

Where:

  • a = Opposite leg (8 cm)
  • b = Adjacent leg (8 cm)

So, we replace in the theorem:

  • a^{2}+b^{2}=c^{2}
  • (8 cm)^{2}+(8cm)^{2}=c^{2} (and we clear c)
  • \sqrt{(8 cm)^{2}+(8cm)^{2}} =c
  • \sqrt{64 cm^{2}+64cm^{2}} =c
  • \sqrt{128cm^{2}} =c
  • c = 11.3137085 cm
  • c ≅ 11.31 cm

At last, we add all the sides of the picture begining by the base and going by the left side:

  • Perimeter of the picture = 16 cm + 12 cm + 4 cm + 11.31 cm + 8 cm + 4 cm + 12 cm
  • <u>Perimeter of the picture = 67.31 cm approximately</u>.
7 0
3 years ago
Find x in the figure.<br><br><br> A) x = 44<br><br> B) x = 16<br><br> C) x = 22<br><br> D) x = 66
MakcuM [25]

Answer:

<h2>C)  x = 22</h2><h2 />

Step-by-step explanation:

3x + 3x + 48 = 180

6x = 180 - 48

x = 132 / 6

x = 22

7 0
3 years ago
Read 2 more answers
You are debating about whether to buy a new computer for $800.00 or a refurbished computer with the same equipment for $640.00.
Xelga [282]
The difference
800−640
=160

160×(1+0.045)
=167.2
3 0
3 years ago
Read 2 more answers
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