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2 years ago

Find cos0 where 0 is the angle shown. Give an exact value, not a decimal approximation.

Mathematics

2 answers:

bogdanovich [222]2 years ago

8 0

Answer:

cos(∅) = 3/5

Step-by-step explanation:

cos(∅) = adjacent/hypotenuse

We don't know what the hypotenuse is so we gotta use Pythagorean theorem to find it.

a² + b² = c²

4² + 3² = c²

√(4² + 3²) = c

c = 5 , this is our hypotenus

cos(∅) = adjacent/hypotenuse

cos(∅) = 3/5

irina1246 [14]2 years ago

3 0

Answer: Cos0 = 3/5

Step-by-step explanation: In order to calculate the value of Cos0, we would have to apply the trigonometrical ratio of

Cos0 = adjacent/hypotenuse

The adjacent is already given as 3 units (the side that lies between the reference angle and the right angle).

In order to calculate the hypotenuse (unknown side, which we shall label as X), we shall apply the Pythagoras theorem, which is;

X² = 3² + 4²

X² = 9 + 16

X² = 25

Adding the square root sign to both sides of the equation, we now have

X = √25

X = 5

Now that we have the adjacent (3 units) and the hypotenuse (5 units), the cosine of the unknown angle can be calculated thus,

Cos0 = adjacent/hypotenuse

Cos0 = 3/5

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Points that don't belong to any line

svetlana [45]

Answer:

Noncollinear points

Step-by-step explanation:

Collinear points lie on the same line. Noncollinear points are the opposite.

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1 year ago

Choose the correct answer for each of the following questions Find the y-intercept for following equation F(X)=-(X+1)^21- -12- -

devlian [24]

Solution

Find the y-intercept for following equation:

$f(x)=-(x+1)^2$

Using the slope equation formular:

$\begin{gathered} y=mx+c \\ f(x)=-(x+1)^2 \\ f(x)=-x^2-2x-1 \end{gathered}$

The value of y when x = 0

$\begin{gathered} f(0)=-0^2-2(0)-1 \\ y=-1 \end{gathered}$

Hence the answer is - 1

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7 months ago

Which of the following is true about graphing polynomial functions?

igomit [66]

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2 years ago

A parabola has a focus of F(2, -0.5) and a directrix of y=-1.5 P(x,y) represents any point on the parabola, while D(x, -1.5) rep

prohojiy [21]

The sketch of the parabola is attached below

We have the focus $(a,b) = (2, -0.5)$
The point $P(x,y)$
The directrix, c at $y=-1.5$

The steps to find the equation of the parabola are as follows

Step 1
Find the distance between the focus and the point P using Pythagoras. We have two coordinates; $(2, -0.5)$ and $(x,y)$ .
We need the vertical and horizontal distances to find the hypotenuse (the diagram is shown in the second diagram).
The distance between the focus and point P is given by
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$

Step 2
Find the distance between the point P to the directrix $c$ . It is a vertical distance between y and c, expressed as $y-c$

Step 3
The equation of parabola is then given as
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$ = $y-c$
$(x-a)^{2}+ (y-b)^{2}= (y-c)^{2}$ ⇒ substituting a, b and c
$(x-2)^{2}+ (y--0.5)^{2} = (y--1.5)^{2}$
$(x-2)^{2}+ (y+0.5)^{2}= (y+1.5)^{2}$ ⇒Rearranging and making $y$ the subject gives

$y= \frac{ x^{2} }{2} -2x+1$

7 0

3 years ago

Simplify the expression -3 devided by -2/5. A. -7 1/2 B. -1 1/5 C. 1 1/5 D. 7 1/2

Llana [10]

Answer:

D. 7 1/2

Step-by-step explanation:

-3 divided by -2/5

-(-3(-5/2)

-(-3 x 5/2)

-15/2

7 1/2

Hope it helps

7 0

2 years ago

Find cos0 where 0 is the angle shown. Give an exact value, not a decimal approximation.​

Find cos0 where 0 is the angle shown. Give an exact value, not a decimal approximation.