What is the surface area of the cube below?
4 m
4 m
4 m
12 square meters
64 square meters
80 square meters
96 square meters

Answer:

[tex] a = 6\sqrt 3,\:\:b =12,\:\:c=6\sqrt 2[/tex]

Step-by-step explanation:

[tex]by \: 30 \degree - 60 \degree - 90 \degree \: theorem \\ \\ 6 = \frac{1}{2} b\\ \\ 6 \times 2 = b \\ \\ 12 = b \\ \\ \huge\red {\boxed {b= 12}} \\ \\ a = \frac{ \sqrt{3} }{2} b \\ \\ a = \frac{ \sqrt{3} }{2} \times 12 \\ \\ \huge\purple {\boxed {a = 6 \sqrt{3}}} \\ \\ c = \frac{1}{ \sqrt{2} } b \\ \\ c = \frac{1}{ \sqrt{2} } \times 12 \\ \\ c = \frac{ \sqrt{2} }{2} \times 12 \\ \\ \huge\orange {\boxed {c = 6 \sqrt{2}}} \\ \\ [/tex]

Answer:

5m = 5000 mm

Step-by-step explanation:

Answer:

The coordinate of the point is (8,-5,-1).

Step-by-step explanation:

Given that the point is located 8 units in front of the yz-plane, 5 units to the left of the xz-plane, and 1 unit below the xy-plane.

According to the convention to the coordinate axis, the front of the yz-plane is the positive x-axis, right of xz-plane is the positive y-axis, and above of xy-plane is the positive z-axis.

As the point is located 8 units in front of the yz-plane, so x=8.

As the point is located 5 units to the left of the xz-plane, so y= -5.

As the point is located 1 unit below the xy-plane, so z= -1.

Hence, the coordinate of the point, (x,y,z)=(8,-5,-1).

Answer:

f(0.6) = 0.92

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 2 - 3x²

f(0.6) is x = 0.6

Step 2: Evaluate

200 + 10 + 7 + .09

This is because the expanded form is the number seperated.

Answer:

It Is A.y-8=-5(x+2)

Step-by-step explanation:

C. No, because AB is Two-fifths the length MN but CD is One-third the length QP.

Answer:

C. No, because AB is 2/5 the length MN but CD is 1/3 the length QP

Step-by-step explanation:

got it right on edge 23

Answer:

what are you even doing with all them balls

Step-by-step explanation:

Answer:

4.

y= 2/3x + 3

Step-by-step explanation:

By using the distributive property on the right side of the equation you get 2/3x + 2. Then you add 1 to the right side to cancel out the (-1) on the left.

Answer:

1 4/5

Step-by-step explanation:

Answer:

[tex]\displaystyle f(x)=\frac{5}{24}(x+2)^2(x-6)(x-2)[/tex]

Step-by-step explanation:

The standard, factored polynomial function is given by:

[tex]f(x)=a(x-p)^n(x-q)^m...[/tex]

Where a is the leading coefficient,

p and q are factors,

And n and m are the powers or multiplicity they are being raised to.

We know that our polynomial function is of degree 4.

We have a root of multiplicity of 2 at x=-2.

So, our factor is:

[tex](x-(-2))=(x+2)\\[/tex]

It is has a multiplicity of 2, it is squared. So:

[tex](x+2)^2[/tex]

We have another root with multiplicity of 1 at x=6.

So, our factor is:

[tex](x-6)[/tex]

And since it is to the first power, we can write it as is.

Finally, we have another root of multiplicity of 1 at x=2.

So, our factor is:

[tex](x-2)[/tex]

Therefore, our entire function is:

[tex]f(x)=a(x+2)^2(x-6)(x-2)[/tex]

We still have to determine our leading coefficient, a.

We can use that y-intercept. The y-intercept is at (0, 10). So, when x=0, y=10. By substitution:

[tex]10=a(0+2)^2(0-6)(0-2)[/tex]

Evaluate:

[tex]10=a(4)(-6)(-2)[/tex]

Multiply:

[tex]10=48a[/tex]

Therefore:

[tex]\displaystyle a=\frac{10}{48}=\frac{5}{24}[/tex]

Therefore, our final function is:

[tex]\displaystyle f(x)=\frac{5}{24}(x+2)^2(x-6)(x-2)[/tex]

Answer:

The orthocentre of the given vertices ( 2 , -3.5)

Step-by-step explanation:

Step(i):-

The orthocentre is the intersecting point for all the altitudes of the triangle.

The point where the altitudes of a triangle meet is known as the orthocentre.

Given Points are K (3.-3), L (2,1), M (4,-3)

The Altitudes are perpendicular line from one side of the triangle to the opposite vertex

The altitudes are  MN , KO , LP

step(ii):-

   Slope of the line  

                          [tex]KL = \frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{1-(-3)}{2-3} = -4[/tex]

The slope of MN =

The perpendicular slope of KL

                           = [tex]\frac{-1}{m} = \frac{-1}{-4} = \frac{1}{4}[/tex]

The equation of the altitude

                                 [tex]y - y_{1} = m( x-x_{1} )[/tex]

                                [tex]y - (-3) = \frac{1}{4} ( x-4 )[/tex]

                               4y +12 = x -4

                                x - 4 y -16 = 0 ...(i)

Step(iii):-

 Slope of the line  

                          [tex]LM = \frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{-3-1}{4-2} = -2[/tex]

The slope of KO =

The perpendicular slope of LM

                           = [tex]\frac{-1}{m} = \frac{-1}{-2} = \frac{1}{2}[/tex]

The equation of the altitude

                                 [tex]y - y_{1} = m( x-x_{1} )[/tex]

The equation of the line passing through the point K ( 3,-3) and slope

m = 1/2

                                [tex]y - (-3) = \frac{1}{2} ( x-3 )[/tex]

                                2y +6 = x -3

                             x - 2y -9 =0 ....(ii)    

Solving equation (i) and (ii) , we get

  subtracting equation (i) and (ii) , we get

                   x - 4y -16 -( x-2y-9) =0

                       - 2y -7 =0

                      -2y = 7

                        y = - 3.5

Substitute y = -3.5 in equation x -4y-16=0

               x - 4( -3.5) - 16 =0

               x +14-16 =0

                x -2 =0

                  x = 2

The orthocentre of the given vertices ( 2 , -3.5)

Answer:

3/ 8

Step-by-step explanation:

All possible outcomes are:

HHH TTT HTT THT TTH HHT HTH THH

PROBABLITY of getting exactly one head = 3/ 8

hope it helps!

Answer:

y=2/5x+3

Step-by-step explanation:

brainliest pls

Answer:

Dilacey took a loan of $2800

Step-by-step explanation:

P=(Simple Interest×100)/R×T

P=$420×100/10×1½

P=$42000/15

P=$2800

Answer:

1,2,3,4,6,9,12,18,36

Step-by-step explanation:

Answer:yes

Step-by-step explanation:

Answer:

3 seconds

Step-by-step explanation:

75 divide 25 is equal 3

So Cheetah ran 3 second by running.

Answer:

The next three terms in the sequence are: 25,31, 37

The required sequence is: 1, 7, 13, 19,25,31, 37

Step-by-step explanation:

We need to find the next three terms in the sequence 1, 7, 13, 19, ...

First we need to find the difference between the terms

If we observe:

First term ; 1

Second term is : 1+6 = 7

Third term is: 7+6 = 13

Fourth term is: 13+6 = 19

So adding 6 to previous term we can find the next term as observed by the pattern

Fifth term will be: 19+6 = 25

Sixth term will be: 25+6 = 31

Seventh term will be: 31+6 = 37

So, the next three terms in the sequence are: 25,31, 37

The required sequence is: 1, 7, 13, 19,25,31, 37

[tex]\boxed{\boxed{\pink{\bf \leadsto The \ Volume \ of \ the\ sphere\ is\ 33493.33 \ in.^3 }}}[/tex]

According to the Question the radius of the sphere is 20 inches. And we know that the Volume of sphere is given by :-

[tex]\boxed{\orange{\sf Volume_{sphere}=\dfrac{4}{3}\pi r^3 }}[/tex]

And here radius is 20 in.

[tex]\implies Volume = \dfrac{4}{3}\pi r^3 \\\\\implies Volume =\dfrac{4}{3}\times\dfrac{22}{7}\times (20 in.)^3\\\\\implies \boxed{\bf Volume = 33493.33 in^3 }[/tex]

Answer:

33493.34

Step-by-step explanation:

r=20

volume of sphere= 4/3×πr^3

= 4/3×3.14×20^3

= 33493.34

or

r=20

volume of sphere= 4/3×πr^3

= 4/3×22/7×20^3

= 33523.80952

Answer:

7.222 (repeating)

Step-by-step explanation:

8 + 10 + 8 + 5 + 4 + 7 + 5 + 10 + 8 = 65

1      2    3    4    5    6    7    8     9

65 / 9 = 7.222 (repeating)

Answer:

By writing as a fraction, I am taking you mean to SIMPLIFY IT.

Step-by-step explanation:

As a fraction, 56/90 is 28/45

The number that divides 56 and 90 exactly is 2

56/2=28

90/2=45

So therefore, the answer is 28/45

Answer:

The ceiling is lower than 3 meters.

Step-by-step explanation:

In the above, the product is less than 3. In this case, it will not include 3 as a choice, as if it would, the [tex]\leq[/tex] would be used.

This means that x would be any number that is less than 3. The only choice that gives a choice that means less than by the terms definition is A) The ceiling is lower than 3 meters.

~

Answer:

The value of v is -17.

Step-by-step explanation:

10-(3v-1)=5(9-v)

10-3v+1=45-v

11-3v=45-v

11-45=3v-v

-34=2v

-34÷2=v

-17=v

Answer:

Step-by-step explanation:

* 33/100 = .3(bar)

* 23/50 =.46

* 6/8 = .75

* 1/3 = .3(bar)

* 7/10 =.7

* 21/81 = .26

* 3/16 = .1875

* 7/20 =.35

Answer: 15

Step-by-step explanation: 75 divided by 5 = 15

Hope this helps!