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2 years ago

13

What does sec 2pi equal?

1 answer:

Vikentia [17]2 years ago

6 0

Secant is the same as 1/cos so you can just write it as 1/2pi then you can put that into your calculator as 1/cos(2pi) and it equals 1.

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3. Use method of completing the square to evaluate 2x^2+ 5x = 8

Zina [86]

Answer:

x= -5- $\sqrt{89}$ /4, - 5+ $\sqrt{89}$ /4

Step-by-step explanation:

solve the equation for x by finding a,b, and c of the quadratic then applying the quadratic formula (the full thing under "answer:" is the exact answer

7 0

2 years ago

goldfiish [28.3K]

When a shape is rotated, it must be rotated around a point.

<em>To determine the location of the new triangle, Sonja must subtract (5,-1) from the coordinates of the original triangle, before rotating by </em> $90^o$ <em>.</em>

<em />

From the question, we have:

$C = (5,-1)$ --- the center of rotation

Let the vertices of the triangle be (x,y).

First, she must subtract the coordinates of the center of rotation from the vertices of the triangle.

This gives:

$(x,y) \to (x - 5, y + 1)$

Then the vertices are rotated by $90^o$

<u />

<u>The rule of </u> $90^o$ <u> rotation is:</u>

$(x,y) \to (-y,x)$

So, we have:

$(x - 5,y + 1) \to (-y - 1,x - 5)$

From the attachment, the coordinates of the triangle are: (0,2), (0,5) and (4,2)

After rotation, the coordinates are calculated as follows:

$(0,2) \to (-2-1,0-5) \to (-3,-5)$

$(0,5) \to (-5-1,0-5) \to (-6,-5)$

$(4,2) \to (-2-1,4-5) \to (-3,-1)$

Hence, the coordinates are: (-3,-5), (-6,-5) and (-3,-1)

Read more about rotations at:

brainly.com/question/1571997

3 0

3 years ago

Whats the geometric means of 4 and 1/4

cestrela7 [59]

The gometric means G1, G2, G3, 1/4

5 0

2 years ago

25 points volume math answer clue pls ty

Vikentia [17]

Answer:

my guy did you repost this as I just answered this about ten minutes ago

4 0

3 years ago

Read 2 more answers

The variable x varies directly as the cube of y, and y varies directly as the square root of z. If x equals 1 when z equals 4, w

Aloiza [94]

Answer:

<h2> $z=36$ </h2>

Step-by-step explanation:

According to the question,

$x$ ∝ $y^3$ .......(1)

$y$ ∝ $\sqrt{z}$ .......(2)

From equation 1,2 let constant of proportionality be $k1,k2$ respectively.

⇒ $x=k1(y^3)$ .......(3)

⇒ $y=k2(\sqrt{z} )$ .......(4)

From the above equations putting 4 into 3,

$x=k1((k2\sqrt{z})^3) =k1.k2^3.(\sqrt{z})^3$

Let the new constant to the above equation be $k3$ ,

$x=k3(\sqrt{z})^3$

Given,if x=1, when z=4

$1=k3(\sqrt{4} )^3=k3(8)$

⇒ $k3=\frac{1}{8}$

Now if x=27, then z=?

$27=\frac{1}{8} (\sqrt{z} )^3$

⇒ $(\sqrt{z} )^3=27(8)$

⇒ $\sqrt{z}=3(2)=6$

$z=36$

4 0

3 years ago