Solve log(2)(4x+8)=5

The perimeter of Raul's picture frame is 108 centimeters. The length of the picture frame is 18 centimeters. What is the width o

katen-ka-za [31]

36 centimeters because 18 times 2 is 36, and 108 minus 36 is 72. and you want to divide 72 by two because theres' 2 sides

4 0

3 years ago

Which equation has the same solution as this equation?

lesya [120]

Answer:

3rd Option is correct.

Step-by-step explanation:

Given Equation:

x² - 16x + 12 = 0

First We need to find solution of the given equation.

x² - 16x + 12 = 0

here, a = 1 , b = -16 & c = 12

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{-(-16)\pm\sqrt{(-16)^2-4(12)}}{2}$

$x=\frac{16\pm\sqrt{256-48}}{2}$

$x=\frac{16\pm\sqrt{208}}{2}$

$x=\frac{16\pm4\sqrt{13}}{2}$

$x=8+2\sqrt{13}\:\:andx=8-2\sqrt{13}$

Now,

Option 1).

( x - 8 )² = 144

x - 8 = ±√144

x - 8 = ±12

x = 8 + 12 = 20 and x = 8 - 12 = -4

Thus, This is not correct Option.

Option 2).

( x - 4 )² = 4

x - 4 = ±√4

x - 4 = ±2

x = 4 + 2 = 6 and x = 4 - 2 = 2

Thus, This is not correct Option.

Option 3).

( x - 8 )² = 52

x - 8 = ±√52

x - 8 = ±2√13

x = 8 + 2√13 and x = 8 - 2√13

Thus, This is correct Option.

Option 4).

( x - 4 )² = 16

x - 4 = ±√116

x - 4 = ±4

x = 4 + 4 = 8 and x = 4 - 4 = 0

Thus, This is not correct Option.

Therefore, 3rd Option is correct.

8 0

3 years ago

Find the volume of the diameter of 12 M and height of 7M

katrin2010 [14]

Answer:

here what to do

Step-by-step explanation:

Since the volume of a cone is pi the radius squared times the height divided by 3. If you know the diameter,you simple divide by 2

5 0

3 years ago

Researchers randomly surveyed people at two amusement parks, Funland and Thrillville, to find out how many times they visit the

STALIN [3.7K]

On average, people visit Thrillville 2 more times per year than Funland.

<h3>Averages</h3>

To determine how many more times per year, on average, do people visit Thrillville than Funland, the following calculation must be performed:

Funland: 4,1,2,1,5,6,3,2,4,3,2,6,1,3,2 = 45
45 / 15 = 3
Thrillville: 8,6,5,7,2,5,4,2,1,9,3,8,3,7,5,2,9,4,2,8 = 100
100 / 20 = 5
5 - 3 = 2

Therefore, on average, people visit Thrillville 2 more times per year than Funland.

Learn more about averages in brainly.com/question/2426692

4 0

2 years ago

Find the remaining trigonometric functions of θ based on the given information.csc θ = 257 and cos θ < 0

katrin [286]

Cos(θ) < 0, so we know it would be in Quadrant 2 or 3
then csc(θ) = 257, but csc(θ) = $\frac{1}{sin(θ)}$ = 257
==> sin(θ) = $\frac{1}{257}$
it is positive, so now we can determine that is in Quadrant 2

sin(θ) = opp./hyp both of opp and hyp are positive but adj suppose to negative because that way it leads the cos(θ) < 0
cos(θ) = adj/hyp
Pythereom to find the adj: $257^{2} - 1^{2} = adj ==\ \textgreater \ adj \sqrt{ 257^{2} - 1^{2} } ==\ \textgreater \ adj = 16 \sqrt{258}$

cosθ = $\frac{16 \sqrt{258} }{257} 
$
tanθ = $\frac{1}{16 \sqrt{258} }$
cosθ = $16 \sqrt{258}$

6 0

3 years ago