What is the range of this function?

3) What is the SURFACE AREA of the solid with the given measurements? Square Pyramid base edge 4 cm, slant height 11 cm

atroni [7]

Answer:

Step-by-step explanation:

height h = 11 cm

slant height s = 11.180339887499 cm

side length a = 4 cm

lateral edge length e = 11.357816691601 cm

1/2 side length r = 2 cm

volume V = 58.666666666667 cm3

lateral surface area L = 89.442719099992 cm2

base surface area B = 16 cm2

total surface area A = 105.44271909999 cm2

4 0

3 years ago

1.Solve the equation. Check for extraneous solutions.

elena55 [62]

Okay so I did the math.

1. Two solutions were found :
z=-1
z=2/3
Step 1 :Rearrange this Absolute Value Equation

Absolute value equalitiy entered
|2z-3| = 4z-1

Step 2 :Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |2z-3|

For the Negative case we'll use -(2z-3)

For the Positive case we'll use (2z-3)

Step 3 :Solve the Negative Case

      -(2z-3) = 4z-1

     Multiply
      -2z+3 = 4z-1

     Rearrange and Add up
      -6z = -4

     Divide both sides by 6
      -z = -(2/3)

     Multiply both sides by (-1)
      z = (2/3)
     Which is the solution for the Negative Case

Step 4 :Solve the Positive Case

      (2z-3) = 4z-1

     Rearrange and Add up
      -2z = 2

     Divide both sides by 2
      -z = 1

     Multiply both sides by (-1)
      z = -1
     Which is the solution for the Positive Case
Step  5  :Wrap up the solution

z=2/3
 z=-1

2. -6 < x < 26/3

Step 1 :Rearrange this Absolute Value Inequality

Absolute value inequalitiy entered
|3x-4|+5 < 27

Another term is moved / added to the right hand side.

|3x-4| < 22

Step 2 :Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |3x-4|

For the Negative case we'll use -(3x-4)

For the Positive case we'll use (3x-4)

Step 3 :Solve the Negative Case

-(3x-4) < 22

 Multiply
 -3x+4 < 22

 Rearrange and Add up
 -3x < 18

 Divide both sides by 3
 -x < 6

 Multiply both sides by (-1)
 Remember to flip the inequality sign
 x > -6
 Which is the solution for the Negative Case

Step 4 :Solve the Positive Case

(3x-4) < 22

 Rearrange and Add up
 3x < 26

 Divide both sides by 3
 x < (26/3)

 Which is the solution for the Positive Case

Step 5 :Wrap up the solution

-6 < x < 26/3

Solution in Interval Notation

(-6,26/3)

HOPE THIS HELPS :D

7 0

3 years ago

Madeline drew a grid of 5 cells in a row.

masha68 [24]

Answer:d

Step-by-step explanation:

7 0

3 years ago

The base edge of an oblique square pyramid is represented as x cm. If the height is 9cm, what is the volume of the pyramid in te

Tom [10]

A is correct:

Let volume v, length l, and h height.

v= (l²h)/3

v=(x²9)/3

v=3x²

5 0

3 years ago

Read 2 more answers

Ryan is making small meat loaves. Each small meat loaf uses 3/4 pound of meat. How much meat does Ryan need to make 8 small meat

taurus [48]

Ryan will need 6 pounds of meatloaf. If you want to know how I got my answer, my work along with the answer will be shown below:

3/4 pound=1 small meatloaf

*Multiply 3/4 pound by 8 because he wants to make 8 small meat loaves, or just add 3/4+3/4+3/4+3/4+3/4+3/4+3/4+3/4*.

#1 way (recommended): 3/4*8/1=24/4....=6 pounds
#2 way: 3/4+3/4=6/4+3/4=9/4+3/4=12/4+3/4=15/4+3/4=18/4+3/4=21/4+3/4=24/4=6 pounds

I hope this helps! Let me know if you still need help!

3 0

3 years ago

What is the range of this function?​

What is the range of this function?