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3 years ago

6

Evelyn has a first name, 2 middle names, and a last name. In how many different ways could Evelyn arrange the initials of her na

me?

1 answer:

tatyana61 [14]3 years ago

4 0

Answer:

4! = 4×3×2×1= 24

in 24 different ways

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The exact value of cos 13pi/8 is

Naily [24]

Answer:

answer is : Cos(13pi/8) = 0.3826

Step-by-step explanation:

We have, Cos (13pi/8)

Since 13pi/8 can be shown as 3pi/2 < 13pi/8 < 2pi

Hence 13pi/8 lies on fourth quadrant.

In fourth quadrant cosine will be positive.

Cos (13pi/8) = cos(3pi/2 + pi/8)

applying formula cos(A+B) = cos A cosB - sinAsinB

i.e Cos(3pi/2 + pi/8) = cos(3pi/2)cos(pi/8) - sin(3pi/2)sin(pi/8)

∵ Remember cos(3pi/2) =0 , sin(3pi/2) = -1

Cos(3pi/2 + pi/8) = 0 cos(pi/8) - (-1)sin(pi/8)

Cos(3pi/2 + pi/8) = 0 + 0.3826

Cos(3pi/2 + pi/8) = 0.3826

Hence we got Cos(13pi/8) = 0.3826

6 0

3 years ago

Read 2 more answers

Write a sequence of transformation that maps quadrilateral ABCD onto quadrilateral A. B. C. D IN THE PICTURE

Mice21 [21]

Answer:

The sequence of transformation is reflected across the y-axis and translated 2 units down

Step-by-step explanation:

Lets revise some transformation

- If point (x , y) reflected across the x-axis

∴ Its image is (x , -y)

- If point (x , y) reflected across the y-axis

∴ Its image is (-x , y)

- If point (x , y) translate h units to the right

∴ Its image is (x + h , y)

- If point (x , y) translate h units to the left

∴ Its image is (x - h , y)

- If point (x , y) translate k units up

∴ Its image is (x , y + k)

- If point (x , y) translate k units down

∴ Its image is (x , y - k)

* Now lets solve the problem

∵ The vertices of figure ABCD are:

A (-1 , 3) , B (1 , 0) , C (2 , 3) , D (1 , 4)

∵ The vertices of figure A"B"C"D" are:

A" (1 , 1) , B" (-1 , -2) , C" (-2 , 1) , D" (-1 , 2)

* Lets compare between ABCD and A"B"C"D"

∵ All x-coordinates has opposite signs

-1 ⇒ 1 , 1 ⇒ -1 , 2 ⇒ -2 , 1 ⇒ -1

∴ The ABCD is reflected across the y-axis

∵ All y-coordinates subtracted by 2

3 ⇒ 1 , 0 ⇒ -2 , 3 ⇒ 1 , 4 ⇒ 2

∴ The ABCD is translated 2 units down

* The sequence of transformation is reflected across the y-axis

and translated 2 units down

5 0

3 years ago

2y+3=11<br> two y add three = 11

sveticcg [70]

Answer:

y=4.5

Step-by-step explanation:

2y+3=11

2y=11-3

2y=9

y= 4.5

7 0

2 years ago

The linear equation of the initial (red ) incline would be y = __x +__

RideAnS [48]

Answer:

$y=\underline {1.5}x+\underline 0$

Step-by-step explanation:

From the graph,

The initial red incline is a straight line passing through the origin.

So, a straight line passing through the origin is of the form:

$y=mx+0$

Where, 'm' is the slope.

Now, the slope of a given as the change in y value to change in x value.

Consider the two end points of the red line (0, 0) and (4, 6).

The slope with two points $(x_1,y_1)\ and\ (x_2,y_2)$ on the line is given as:

$m=\frac{(y_2-y_1)}{(x_2-x_1)}$

Plug in $x_1=0,y_1=0,x_2=4,y_2=6$ . Therefore, slope is:

$m=\frac{6-0}{4-0}\\m=\frac{6}{4}=1.5$

Hence, the equation of the initial red incline is:

$y=\underline {1.5}x+\underline 0$

3 0

3 years ago

(ASAP) Solve the system by elimination <br><br> -2x+2y+3z=0<br> -2x-y+z=-3<br> 2x+3y+3z=5

Fantom [35]

To solve by elimination you need to solve for each variable, in this case x, y, and z
x = 1/3
y = 7/3
z = 0

7 0

3 years ago

Read 2 more answers