All categories

3 years ago

Find the EXACT values, there should be no decimals in your answertan [sin-1(-1/√5)]

Mathematics

1 answer:

makvit [3.9K]3 years ago

4 0

Exact Form:

-1/2

Decimal Form:

-0.5

You might be interested in

What is the equation of the quadratic graph with a focus of (3, 1) and a directrix of y = 5?

telo118 [61]

Answer:

$f(x)=-\frac{1}{8}(x-3)^2+3$

Step-by-step explanation:

We want to find the equation of the parabola with a focus of $(3,1)$ and directrix $y=5$ .

Considering the directrix, the quadratic graph must open downwards.

The equation of this parabola is given by the formula,

$(x-h)^2=4p(y-k)$ , where $(h,k)$ is the vertex of the parabola.

The axis of this parabola meets the directrix at $(3,5)$ .

Since the vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix,

$h=\frac{3+3}{2}=3$ and $k=\frac{5+1}{2}=3$ .

The equation of the parabola now becomes,

$(x-3)^2=4p(y-3)$ .

Also $|p|$ is the distance between the vertex and the directrix.

$|p|=2$

This implies that $p=-2\:or\:2$ .

Since the parabola turns downwards,

$p=-2$ .

Our equation now becomes,

$(x-3)^2=4(-2)(y-3)$ .

$(x-3)^2=-8(y-3)$ .

We make y the subject to get,

$y=-\frac{1}{8}(x-3)^2+3)$ .

This is the same as

$f(x)=-\frac{1}{8}(x-3)^2+3)$ .

4 0

3 years ago

Directions: Compare the sides and angles by filling in the blank with a < or > symbol.

eduard

Answer:

Number 21 is < number 23 is > number 22 is < and number 24 is >

Step-by-step explanation:

7 0

2 years ago

The base of a circular fence with radius 10 m is given by x = 10cos(t), y = 10sin(t). the height of the fence at position (x, y)

Karo-lina-s [1.5K]

The average height of the fence is 2 m; its length is 20π m. So, its 2-sided area is
A = 2*(2 m)*(20π m) = 80π m² ≈ 251 m²

At 1 L/(100 m²), it will take 2.51 L of paint to paint both sides.

6 0

3 years ago

PLEASE HELP ME WITH THIS I WILL GIVE BRAINLIEST.

Elena-2011 [213]

Answer:

1007

Step-by-step explanation:

The volume of the cylindrical storage tank is : π·40(squared)·60 = approximately 302000.

The volume of a rectangular prism is : 5 x 6 x 10 = 300

To catch all the leaking liquids, you need : 302000 : 300 = 1006.6666667 (round to 1007) rectangular prisms

4 0

3 years ago

Read 2 more answers

you want to make a scale model of a sailboat that is 51 ft long and 15 ft wide you plan to make the sailboat 17 in long how wide

Strike441 [17]

Answer:

5 in

Step-by-step explanation:

7 0

3 years ago

Find the EXACT values, there should be no decimals in your answertan [sin-1(-1/√5)]​

Find the EXACT values, there should be no decimals in your answertan [sin-1(-1/√5)]