What is the solution set of the following equation?

An equilateral triangle has three 60 degree angles and three sides of equal lengths. One equilateral triangle has sides measures

olga nikolaevna [1]

No it is not possible for them to be similar

7 0

2 years ago

X / -9 equal -4 minus parentheses -11 answer x equal

miss Akunina [59]

Do you mean x/-9=(-4)-(-11)x?

4 0

3 years ago

Find the volume of a regular hexahedron if one of the diagonals of its faces is 8 root 2 inches.

Naily [24]

The answer is 114sqrt{6} in³

A regular hexahedron is actually a cube.

Diagonal of a cube D is a hypotenuse of a right triangle which other two legs are face diagonal (f) and length of a side (a):
D² = f² + a²

Face diagonal is a hypotenuse of a right triangle which sides are a and a:
f² = a² + a² =2a²

D² = f² + a²
f² = 2a²

D² = 2a² + a² = 3a²
D = √3a² = √3 * √a² = √3 * a = a√3

Volume of a cube with side a is: V = a³
D = a√3
⇒ a = D/√3

V = a³ = (D/√3)³

We have:
D = 8√2 in

$V= (\frac{D}{ \sqrt{3} } )^{3} =( \frac{8 \sqrt{2} }{ \sqrt{3} } )^{3}=( \frac{8 \sqrt{2} * \sqrt{3} }{ \sqrt{3}* \sqrt{3}} )^{3} =( \frac{8 \sqrt{2*3} }{ \sqrt{3*3}} )^{3} =( \frac{8 \sqrt{6} }{ \sqrt{3^{2} }} )^{3} =( \frac{8 \sqrt{6} }{ 3} )^{3} = \\ \\ = \frac{ 8^{3} *( \sqrt{6} )^{3}}{3^{3}} = \frac{512* \sqrt{6 ^{2} }* \sqrt{6} }{27} = \frac{512*6* \sqrt{6} }{27} = 114sqrt{6}$

8 0

3 years ago

Solve the following problem. Give the equation using x as the variable, and give the answer.

Vinil7 [7]

Answer:

A. 3x + (x+8) = -22 - 2x

Step-by-step explanation:

Let the number equal x.

Set up the first half of the equation.

The sum of three times the number and 8 more than the number can be written as:

3x + (x+8)

Sum means that you add the components.

Set up the second half of the equation.

The difference between -22 and twice the number can be written as:

-22 - 2x

Difference means subtraction, and because -22 is written first, that is the number that you subtract <em>from</em>.

If you set the halves of the equation equal, you get:

3x + (x+8) = -22 - 2x

Therefore, the answer is A.

5 0

1 year ago

Summer is having a pool party at her house In the ice chest me are of lemonade and 13 bottles of water If she randomly grabs abo

zlopas [31]

Probability =

   (number of ways it can come out the way you want it to)
divided by
   (total number of ways it can come out).

Total number of ways it can come out =

      number of bottles in the cooler

   = (10 + 15 + 13) = 38 .

Number of ways it can come out the way you want it to =

   (soda + lemonade)

      = (10 + 15) = 25 .

Probability of coming out the way you want it to =

   25 / 38 = about 65.8 % .

7 0

2 years ago