12-inch-tall boxes are being stacked next to 8-inch-tall boxes.
What is the shortest height at which these two stacks will be the same height?

Answer:

Step-by-step explanation:For any shape it’s always true that for volume

V

the surface area is:      =2‾‾‾√3

for some constant   depending on the shape. So to work out the surface area from the volume we just need to know the value of   for the shape in the question.

For a cube for example we have that  =6, assuming consistent units i.e.: unit 2 for area and unit 3

3

 for volume.

More generally if we have formula for both volume and surface area in terms of a particular one dimensional measurement  

d

 of the shape then we can always write these formula in the form:

=13

=12

for constants  constants   1  and  1

. Then we have:

=1‾‾‾√3

=1(1)2‾‾‾‾‾‾√3

=121‾‾‾√32‾‾‾√3

and therefore:

=121‾‾‾√3

For example for a sphere we have that   that  =42  and  =433 and therefore:

=4(43)2‾‾‾‾‾‾√3

=36‾‾‾‾√3

So if a particular sphere has volume   =8  then we can calculate its surface area to be:

=36‾‾‾‾√382‾‾√3=436‾‾‾‾√3 m2

f(x) = 2 ( x² + 8x ) - 7

     = 2 [(x + 4)² - 4²] - 7

     = 2 (x + 4)² - 32 - 7

     = 2 (x + 4)² - 39

(x+4)² = x² + 2*x*4 + 4² = x² + 8x + 4²

it's why

x² + 8x = (x + 4)² - 4²

Answer:

y=2(x+4)^2−39

Step-by-step explanation:

Based on my calculation that´s the answer :-)

The solution of   [tex]\rm log(2t+4)=log(14-3t)[/tex]  is t=2

It is given that:

[tex]\rm log(2t+4)=log(14-3t)[/tex]

It is required to find the value of 't'.

It is another way to represent the power of numbers ie.

[tex]a^b=c\\log_ac=b[/tex]

We have:

[tex]\rm log(2t+4)=log(14-3t)[/tex]   [tex]\rm (Taking \ log_1_0 \ base \ and \ removing \ the \ log_1_0 \ from \ both \ the\ side)[/tex]

We will get:

[tex]\rm 2t+4=14-3t\\\rm 5t=10\\\rm t=2[/tex]

Therefore the solution of   [tex]\rm log(2t+4)=log(14-3t)[/tex]  is t=2

Learn more about the Logarithm here.

https://brainly.com/question/163125

Answer:

A: vertical angles

B: corresponding angles theorem

C: transitive property

Step-by-step explanation:

Answer:

A: vertical angles

B: corresponding angles theorem

C: transitive property

Step-by-step explanation:

Answer:

$1.33

Step-by-step explanation:

27.93:21

Divide 27.93 by 21.

Answer:

input the formula of acceleration and the the answer will be

8.928571429

Answer:

The answer is 5

Step-by-step explanation:

I took the test :)

Answer 5

Step-by-step explanation:

Answer:

He does not divide the numerator and the denominator by the same number. Nicholas divides 20 by 5 and 30 by 6. He ought to have divided 30 by 5 as well and then simplified.

P.S. Nicholas should have just divided both 20 and 30 by 10 to simplify in one step

Answer:  see below

Step-by-step explanation:

#5 - 7: Domain are the x-values and Range are the y-values.

5) Coordinates are: (-2, 3), (0, 3), (2, 3), (4, 3)

   Domain: x = {3}         Range: y = {-2, 0, 2, 4}

6) All points on the curve between -4 and 2 (x-values) & 3 and 6 (y-values). Endpoints are included.

Domain: -4 ≤ x ≤ 2         Range: 3 ≤ y ≤ 6

7) All points on the curve between 2 and 7 (x-values) & 1 and 6 (y-values). Endpoints are not included.

Domain: 2 < x < 7         Range: 1 < y < 6

#8 - 11: Choose points for x. Plug them into the equation to solve for y.

To graph the equation, plot the points and connect the dots.

8)                  x         y = x

                   -2             -2

                    -1             -1

                     0             0

                     1              1

                     2             2

9)                  x         y = 2x+1

                   -2             2(-2)+1 = -3

                    -1             2(-1)+1 =  -1

                     0            2(-0)+1 =  1

                     1             2(1)+1 =   3

                     2            2(2)+1 =  5

Note:

You are allowed a maximum of 3 questions. I answered 5 questions. If you need help with the rest of your homework, you will need to create another post.

Answer:

8

Step-by-step explanation:

Answer:

[tex]y=-\frac{3}{2}+2[/tex]

Step-by-step explanation:

First subtract 6 from both sides:

[tex]6x+4y=8[/tex]

-6            -6

New equation becomes:

[tex]4y-6=8[/tex]

Divide all by 4:

4     -6      8

---    ---      ---

4       4       4

[tex]y=-\frac{3}{2}+2[/tex]

Hence, the final answer is [tex]y=-\frac{3}{2}+2[/tex]

Answer:

the total receipt for admission is 1065.75? or just 1065? please tell me so I can help you T_T

Answer:

es 3

Step-by-step explanation:

Para encontrar el mcd de 9 y 57:

Los factores de 9 son 9, 3, 1.

Los factores de 57 son 57, 19, 3, 1.

Los factores en común de 9 y 57 son 3, 1, los cuales intersectan los dos conjuntos arriba.

En la intersección de los factores de 9 ∩ factores de 57 el elemento mayor es 3.

Por lo tanto, el máximo común divisor de 9 y 57 es 3.

Answer:

3

Step-by-step explanation:

9's multiples are 1, 3, and 9. 57's multiples are 1, 3, 19, and 57. The greatest common factor is 3 since that is the highest factor they share.

Answer:

B & C are the correct answers

[tex]b. \: \: \frac{7 {}^{18} }{7 {}^{9} } \\ c. \: \: (7 {}^{3} ) {}^{3} \\ e. \: \: 7 {}^{4} .7 {}^{5} \\ \\ correct \: answers[/tex]

Thank you ☺️☺️

Answer: The cat's weight is 4.33 pounds

• The dog's weight is 17.32 pounds.

Step-by-step explanation:

Let the weight of the cat be represented by a.

Devi’s dog weighs 4 times as much as her cat. This can be written as:

= 4 × a

= 4a

Her dog also weighs 13 pounds more than the cat. This can be written as:

= a + 13

We then equate both equations. This will be:

4a = a + 13

4a - a = 13

3a = 13

a = 13/3

a = 4.33 pounds

The cats weight is 4.33 pounds

Since the dog's weight = 4a = 4 × 4.33 = 17.32 pounds

[tex] \underline \mathcal \pink{ GIVEN}[/tex]

[tex] \underline \mathcal \purple{ TO \: FIND}[/tex]

[tex] \underline \mathcal \blue{CALCULATION}[/tex]

[tex] \qquad \tt \leadsto \: area = \frac{1}{2} \times base \times height[/tex]

[tex] \qquad \bf \nrightarrow \: area = \frac{1}{ \cancel2} \times \cancel2 \frac{9}{10} \times 4 \frac{6}{7} [/tex]

[tex] \qquad \bf \nrightarrow \: area = \frac{9}{ \cancel{10}} \times \cancel4 \frac{6}{7} [/tex]

[tex] \qquad \bf \nrightarrow \: area = \frac{9}{ 5} \times 2 \frac{6}{7} [/tex]

[tex] \qquad \bf \nrightarrow \: area = \frac{108}{ 35} \approx3.08 \: {km}^{2} [/tex]

Thus, The area of the triangle is 3.08 kilometers...~

Answer:

45°, 90°, 135°, 180°, 225°, 270°, 315

Step-by-step explanation:

Answer: d

Step-by-step explanation: l

Answer:

Ans B should be correct.

Answer:

XM = 7

Step-by-step explanation:

M is the midpoint of XY , thus

XM = MY ( given XY is 7 ) , then

XM = 7

Answer:

y =  -2

Step-by-step explanation:

To find the answer, use property of inequality:

10-5y=20
Undo the +10, so - 10 to the other side
so,
-5y= 10, or -5xY.

so divide by -5 from both sides:

10/-5=-2
so, the remain of the equation is:
y = -2
which is the answer

Answer:

A parrelogram is a shape with four sides (and something else I forgot).  That doesn't matter because a circle doesn't even have sides! Therefore, it's not a parallelogram.

Given:

The measure of the first angle is 40° less than the measure of the second.

To find:

The measures of the complementary angles that satisfy the given condition.

Solution:

Let the measure of first angle be x°.

According to the given condition,

First angle = Second angle - 40°

[tex]x^\circ =\text{Second angle}-40^\circ [/tex]

Add 40° on both sides.

[tex](x+40)^\circ =\text{Second angle}[/tex]

We know that, sum of complementary angles is 90°. So,

First angle + Second angle = 90°

[tex]x^\circ +(x+40)^\circ =90^\circ [/tex]

[tex]2x^\circ +40^\circ =90^\circ [/tex]

[tex]2x^\circ =90^\circ -40^\circ [/tex]

[tex]2x^\circ =50^\circ [/tex]

Divide both sides by 2.

[tex]x^\circ =25^\circ [/tex]

So, the measure of first angle is 25°.

[tex](x+40)^\circ =(25+40)^\circ =65^\circ[/tex]

So, the measure of second angle is 65°.

Answer:

it should be 1571.19

Step-by-step explanation:

If you combine the you just need to add them using the amount under weekly 584+987.19= 1571.19 weekly

Answer:

The slope is 2/3

Step-by-step explanation:

you need to use the equation y=rise over run, so the equation would be 2-4 over -2-1 and that would equal 2/3 and to graph you just need to find the y-intercept and put it together with the slope y=2/3+b