If A = 5 units, then what is the volume of the cube shown above?

Answer:

7.94 is your answer

Step-by-step explanation:

......

Answer:

45\

Step-by-step explanation:

it will be 8 units

hope it helps

Answer:

[tex]L = 704[/tex]

[tex]S = 832[/tex]

Step-by-step explanation:

Given

[tex]H = 22[/tex] --- Height

[tex]W = 8[/tex] --- Width

[tex]L=8[/tex] ---- Length

Solving (a): The lateral surface area (L)

This is calculated as:

[tex]L = 2 * (L + W) * H[/tex]

This gives:

[tex]L = 2 * (8 + 8) * 22[/tex]

[tex]L = 2 * 16 * 22[/tex]

[tex]L = 704[/tex]

Solving (b): The total surface area (T)

This is calculated as:

[tex]S = 2 * (LW + WH + LH)[/tex]

This gives:

[tex]S = 2 * (8*8 + 8*22+ 8*22)[/tex]

[tex]S = 2 * (64 + 176+ 176)[/tex]

[tex]S = 2 * 416[/tex]

[tex]S = 832[/tex]

Answer:

46mi

Step-by-step explanation:

Its right. Sorry need the points.

Answer:

1/4 ( x + 12 ) = 2 : x = -4

Step-by-step explanation:

4 x 1/4 (x + 12 ) = 2 x 4

x + 12 = 8

x + 12 - 12= 8 - 12

x = -4

Answer: 47890000

Step-by-step explanation:

4.789*10^7=4789*10^4=4789000

Answer:

47,890,000

Step-by-step explanation:

Answer:

a= 180-60-55=65

we know that the angle of a flat(?) ground would be 180, so we can take away the 60 and 55 to find a.

b=180-90-65=25

the sum of interior angle of a triangle would be 180, now we know what a is, also the right angle is 90, now we can take away the 90 and 65 to find b.  

c=25

c is 25, because two angles on both sides of a X is the same

Given:

The area of a rectangle is 99 square yd.

Length of the rectangle = 7 yd more than twice the width.

To find:

The dimensions of the rectangle.

Solution:

Let x be the width of the rectangle. Then, length of the rectangle is:

[tex]Length=2x+7[/tex]

Area of a rectangle is:

[tex]A=length\times width[/tex]

[tex]A=(2x+7)\times x[/tex]

[tex]A=2x^2+7x[/tex]

The area of a rectangle is 99 square yd.

[tex]2x^2+7x=99[/tex]

[tex]2x^2+7x-99=0[/tex]

Splitting the middle term, we get

[tex]2x^2+18x-11x-99=0[/tex]

[tex]2x(x+9)-11(x-9)=0[/tex]

[tex](x+9)(2x-11)=0[/tex]

Using zero product property, we get

[tex](x+9)=0[/tex] and [tex](2x-11)=0[/tex]

[tex]x=-9[/tex] and [tex]x=\dfrac{11}{2}[/tex]

[tex]x=-9[/tex] and [tex]x=5.5[/tex]

Width of the rectangle cannot be negative. So, [tex]x=5.5[/tex] yd.

Now, the length of the rectangle is:

[tex]Length=2x+7[/tex]

[tex]Length=2(5.5)+7[/tex]

[tex]Length=11+7[/tex]

[tex]Length=18[/tex]

Therefore, the length of the rectangle is 18 yd and the width of the rectangle is 5.5 yd.

First Chart: Perimeter

Square Portion:

Original Side Lengths: P = 4  (1 + 1 + 1 + 1 ) =4

Double Side Lengths: P = 8 (2 x 4 = 8)

Triple Side Lengths: P = 12  (4 x 3 = 12)

Quadruple Side Lengths: P = 16 (4 x 4 = 16)

Rectangle Portion:

Original Side Lengths: P = 6 (1 x 2 + 2 x 2 = 6)

Double Side Lengths: P = 12 (2 x 2 + 4 x 2 = 12)

Triple Side Lengths: P = 24  (4 x 2 + 8 x 2 = 24)

Quadruple Side Lengths: P = 48 (8 x 2 + 16 x 2 = 48)

Second Chart: Area

Square Portion:

Original Side Lengths: A = 1 (1 x 1 = 1)

Double Side Lengths: A = 4 (2 x 2 = 4)

Triple Side Lengths: A = 9 (3 x 3 = 9

Quadruple Side Lengths: A = 16 ( 4 x 4 = 16)

Rectangle Portion:

Original Side Lengths: A = 2 ( 1 x 2 = 2 )

Double Side Lengths: A = 8 ( 2 x 4 = 8)

Triple Side Lengths: A = 18 ( 3 x 6 = 18)

Quadruple Side Lengths: A = 32 (4 x 8 = 32)

Answer:

x = 10.7 (as rounded to the nearest tenths)

Step-by-step explanation:

Angle 50 is given and so is it's adjacent side, we have to find its opposite side so we will use the Tangent ratio;

Tan(50) = [tex]\frac{x}{9}[/tex]

=> To isolate the variable x, multiply 9 on each side of "="

Tan(50) * 9 = x

10.7 = x

Hope this helps!

Answer: A

Step-by-step explanation:

Answer: 125,000

Step-by-step explanation:

Voulme= LxWxH

             = 50x 50x50

              =125,000

Answer:

(6, 0 )

Step-by-step explanation:

A translation to the left means subtract 2 from the x- coordinate

A translation down means subtract 4 from the y- coordinate

Then

(8, 4 ) → (8 - 2, 4 - 4 ) → (6, 0 )

Answer:

most likely 12, because you can take half of the time with double the people.

Step-by-step explanation:

I hope this helped!

Answer:

2-2 times

4-5 times

6-2 times

4 is the mod

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The choices are 2, 4, or 6, and the mode is the number that appears most frequently. The number of each is as follows:

2-2

4-5

6-2

4 appeared most often, so it is the answer.

Answer:

28.26[tex]in^{2}[/tex]

Step-by-step explanation:

Given,

Radius of the circle = 3in.

Area = ?

They have told us to use 3.14 for [tex]\pi[/tex]

Area formula = [tex]\pi r^{2}[/tex]

=> 3.14 * 3 * 3

=> 3.14 * 9

=> 28.26[tex]in^{2}[/tex]

Therefore the area of the circle is  28.26[tex]in^{2}[/tex]

Hope it helps :)

Answer:

28.26

Step-by-step explanation:

You want to plug everything in to the equation that you can. It says that pi=3.14, and the radius (aka r) is equal to 3. Therefore when plugging everything in, the equation reads (3.14)(3)^. ^ means squared, its the tiny 2 above the r. when something is squared it means you multiply it by itself 2 times. therefore 3 squared = 3 x 3= 9. After finding out 3^=9, the equation reads (3.14)(9). Now all you have to do is multiply the 2 together which results in 28.26.

========================================================

Explanation:

The notation [tex]a_1[/tex] refers to the first term. So the first term is 21.

The d = -3 is the common difference. It's the value we add onto any given term to get the next following term.

We can say:

second term = (first term) + (common difference)

second term = [tex]a_1 + d[/tex]

second term = 21 + (-3)

second term = 18

Through similar steps, you should find that the third term is 15, the fourth is 12, and so on. Each time we decrease by 3.

The arithmetic sequence would be: 21, 18, 15, 12, 9, ...

The first three terms are 21, 18, and 15.

Hello!

How many marbles are in the jar all together?

3 + 2 + 4 = 9

We also know that there are 4 green marbles in the job.

So, I would assume that the answer is;

Green Marbles : Total Marbles or Green Marbles to Total Marbles.

waffletowne

Answer:

153.9

Step-by-step explanation:

Answer:

options 3 and 4

Step-by-step explanation:

The exponential function f with base a is defined by

f(x) = a^x

so the exponential functions are options 3 and 4

Answer:

D. 18

Step-by-step explanation:

12.50 x 18 = 225

hope it helps :)

Answer:

See proof below

Step-by-step explanation:

Find the diagram attached.

From the diagram, sum of angle on the straight  line l is 180degrees that is:

<A' + <B' + <C' = 180° .... 1

Also note that

<A = <A' (corresponding angle) ...2

<B = <B' (corresponding angle) ... 3

<C = <C' (vertically  opposite angle) ...4

Substitute  2, 3 and 4 into 1, we will have:

A+B+C = 180°

This shows that the sum of the interior angles of the triangle A  B and C is 180°

Answer:

C. 0

I don't where all the values of x and y must be kept but ignoring those the ans is 0

Answer:

See Explanation

Step-by-step explanation:

This question is incomplete, as the required scatter plot is not included in the question. I will answer your question with the attached plot.

Solving (a): The equation

Pick any [tex]two[/tex]  [tex]points[/tex]on the [tex]trend[/tex] line

[tex](x_1,y_1) = (30,40)[/tex]

[tex](x_2,y_2) = (80,70)[/tex]

[tex]y = 0.6x + 22[/tex]

Calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

[tex]m = \frac{70 - 40}{80-30}[/tex]

[tex]m = \frac{30}{50}[/tex]

[tex]m = 0.6[/tex]

The equation is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = 0.6(x - 30) + 40[/tex]

[tex]y = 0.6x - 18 + 40[/tex]

[tex]y = 0.6x + 22[/tex]

Solving (b): y, when [tex]x = 21[/tex]

[tex]y = 0.6x + 22[/tex]

Substitute [tex]x = 21[/tex]

[tex]y = 0.6 * 21 + 22[/tex]

[tex]y = 12.6 + 22[/tex]

[tex]y = 34.6[/tex]

Solving (c): x when [tex]y=150[/tex]

[tex]y = 0.6x + 22[/tex]

Substitute [tex]y=150[/tex]

[tex]150 = 0.6x + 22[/tex]

Collect like terms

[tex]0.6x = 150 -22[/tex]

[tex]0.6x = 128[/tex]

Solve for x

[tex]x = \frac{128}{0.6}[/tex]

[tex]x = 213.3[/tex]

[tex]\tt{ Hey \: there , \: Mr.Panda \: ! } [/tex] ;)

♨[tex] \large{ \tt{ E \: X \: P \: L \: A \: N \: A \: T \: I\: O \: N}}: [/tex]

⤻ Before solving the given question , you should know the answer of these questions :

✺How do you find the hypotenuse , perpendicular and base when the angle ( [tex] \theta \: , \alpha \: ,\beta [/tex] ) is given ?

⇾ The longest side , which is the opposite side of right angle is the hypotenuse ( h ). There are two other sides , the opposite and the adjacent. The naming of these sides depends upon which angle is involved. The opposite is the side opposite the angle involved and it is called the perpendicular ( p ) . The adjacent us the side next to the angle involved ( buy not the hypotenuse ) and it is called the base ( b ).

☄ [tex] \large{ \tt{REMEMBER}} : [/tex]

In the above cases , [tex] \theta[/tex] is taken as the angle of reference.

♪ Our Q/A part ends up here! Let's start solving the question :

❈ [tex] \large{ \tt{GIVEN}} : [/tex]

✧ [tex] \large{ \tt{TO \: FIND} : }[/tex]

✎ [tex] \large{ \tt{SOLUTION}} : [/tex]

Firstly , Finding the value of perpendicular ( p ) using Pythagoras theorem :

❃ [tex] \boxed{ \sf{ {h}^{2} = {p}^{2} + {b}^{2} }}[/tex] [ Pythagoras theorem ]

[tex] \large{ ⇢ \sf{p}^{2} + {b}^{2} = {h}^{2} }[/tex]

[tex] \large{⇢ \sf{ {p}^{2} = {h}^{2} - {b}^{2} }}[/tex]

[tex] \large{ ⇢\sf{ {p}^{2} = {18}^{2} - {16}^{2} }}[/tex]

[tex] \large{⇢ \sf{ {p}^{2} = 324 - 256}}[/tex]

[tex] \large{⇢ \sf{ {p}^{2} = 68}}[/tex]

[tex] \large{⇢ \sf{p = \sqrt{68}}} [/tex]

[tex] \large{ ⇢\sf{p = \boxed{ \tt{2 \sqrt{17}}} }}[/tex]

Okey, We found out the perpendicular i.e [tex] \tt{2 \sqrt{17}} [/tex] . Now , We know :

❊ [tex] \large{ \sf{ \tan \theta} = \frac{perpendicular}{base} }[/tex]

[tex] \large {\tt{↬ \: tan \theta = \frac{2 \sqrt{17} }{16}}} [/tex]

[tex] \large{ \tt{ ↬ tan \theta = \frac{ \cancel{2} \: \sqrt{17} }{ \cancel{16} \: \: 8} }}[/tex]

[tex] \large{ \tt{ ↬ \boxed{ \tt{tan \theta = \frac{ \sqrt{17} }{8}}}}} [/tex]

⟿ [tex] \boxed{ \boxed{ \tt{OUR\: FINAL \: ANSWER : \boxed{ \underline{ \bf{ \frac{ \sqrt{17} }{8}}}}}}} [/tex]

۵ Yay! We're done!

♕ [tex] \large\tt{RULE \: OF \:SUCCESS }: [/tex]

ツ Hope I helped!

☃ Have a wonderful day / evening! ☼

# StayInAndExplore ☂

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Answer:

√(17)/8

Step-by-step explanation:

We are given with hypotenuse and base. We can have any ratio related to it, such as secant.

secA = hypotenuse/base

secA = 18/16 = 9/8

sec²A = 81/64

Using sec²A - 1 = tan²A

=> 81/64 - 1 = tan²A

=> 17/64 = tan²A

=> √(17)/8 = tanA

______________________

Using cosine of angle A.

cosA = base/hypotenuse

cos²A = (16/18) = (8/9)² = 64/81

sin²A = 1 - cos²A = 1 - 64/81 = 17/81

Hence,

tanA = √(tan²A) = √(sin²A/cos²A) = √((17/81)/(64/81)) = √(17)/8

This looks complex, either go with the 1st or one Or directly find the value of height using Pythagoras theorem,

18² = 16² + height²

√17 = height

tanA = height/base = √17/8