Sophia packed a right rectangular prism with 210 unit cubes. If Mia multiplied the edge lengths of the same prism to find the volume, what should her answer be in cubic units?

Answer:

see below

Step-by-step explanation:

The two angles form a straight line so they add to 180 degrees

5x+60   + 3x-40 = 180

Combine like terms

8x +20 = 180

Subtract 20 from each side

8x+20-20=180-20

8x= 160

Divide by 8

8x/8=160/8

x=20

5x+60 = 5*20+60 = 160

3x-40 = 3*20-40 = 20

Answer:

Step-by-step explanation:

The only valid expression from the given list is the one that uses the arctangent ([tex]tan^{-1}(0.75)[/tex] ) function.

Recall that the tangent of an acute angle in a right angle triangle is defined as:

[tex]tan(B)=\frac{opposite}{adjacent}[/tex]

therefore in our case we have:

[tex]tan(B)=\frac{opposite}{adjacent} \\tan(B) = \frac{12}{16} \\tan(B)=0.75\\B=arctan(0.75)[/tex]

Answer:

x=-9

Step-by-step explanation:

2x+6+5x=6x-3

7x+6=6x-3

7x-6x=-3-6

x=-9

Answer:

x= -9

Step-by-step explanation:

2(x+3)+5x=3(2x-1)

2x+6+5x=6x-3

7x+6=6x-3

7x-6x= -3-6

x= -9

Resolviendo un sistema de ecuaciones, veremos que el número de dos cifras es 97.

¿Como encontrar el sistema de ecuaciones?

Podemos escribir un número de dos cifras como:

a*10 + b

Donde a y b son dos numeros de una cifra.

Entonces podemos escribir las restricciones:

"Si un número de dos cifras se disminuye en 17 y esta diferencia se divide por la suma de sus cifras, el cociente es 5"

((a*10 + b) - 17)/(a + b) = 5

"si el número disminuido en 2 se divide por la cifra de las unidades disminuida en 2, el cociente es 19"

(a*10 + b - 2)/(b - 2) = 19

Entonces tenemos un sistema de ecuaciones, que vamos a escribir como:

a*10 + b - 17 = (a + b)*5

a*10 + b - 2 = 19*(b - 2)

Donde pase los denominadores a la derecha, así es más simple de leer.

Para resolver esto, primero debemos simplificar ambas ecuaciones, vamos a obtener:

a*10 + b - 17 = a*5 + b*5

a*10 + b - 2 = 19*b - 38

Moviendo los terminos con variables a la izquierda y los constantes a la derecha:

a*10 + b - a*5 - b*5 = 17

a*10 + b - 19*b = -38 + 2

Terminamos de simplificar:

a*5 - b*4 = 17

a*10 - b*18 = -36

Ahora debemos aislar una de las variables en una de las ecuaciones, vamos a aislar a en le primera:

a = (17 + b*4)/5

Ahora reemplazamos esto en la otra ecuación y resolvemos para b:

10*(17 + b*4)/5 - b*18 = -36

2*(17 + b*4) - b*18 = -36

34 + b*8 - b*18 = -36

34 - b*10 = -36

-b*10 = -34 - 36 = -70

b = -70/-10 = 7

Para encontrar el valor de a usamos la ecuación:

a = (17 + b*4)/5 = (17 + 7*4)/5 = 9

Entonces podemos concluir que el número es 97.

Sí quieres aprender más sobre sistemas de ecuaciones, puedes leer:

https://brainly.com/question/13729904

Answer:

5/3

Step-by-step explanation:

multiply the whole thing by y to get 3y/x=5 and then divide by 3 to get y/x=5/3

Answer:

y/x=5/3

Step-by-step explanation:

3/x=5/y ⇒ y/x=5/3  replacing y with 3

Answer:

1/2

Step-by-step explanation:

The constant of variation is the same as the slope. From the graph, the slope is 1/2.

Answer:

I believe the answer is 2

Answer:

61%

Step-by-step explanation:

Area of square:

=a²

=12²

=144

Area of two quarter circles:

=2(¼×π×r²)

=2(¼×π×6²)

=2×28.72

=56.55

Finding the percentage:

=(56. 55÷144)×100

=0.3937×100

=39.27

subtract 100% by 39.27% to find the percentage of how much is shaded

=100-39.27

=60.73

=61 (rounded off to the nearest whole percent)

Answer:

B'(6,-3)

Step-by-step explanation:

Answer:

its B on edgenuity

Step-by-step explanation:

Answer: (0,-9)

Step-by-step explanation:

(0,-9) is the y-intercept because it is the point at which the function crosses the y-axis.

Here it is plz dont judge i had it for a long time:    Cool_fam7

uwu plz text me i get bored a lot

Step-by-step explanation:

A=base length × height

if base is 6cm, and h 4 cm, multiply

6×4=24cm2

Answer: False

Step-by-step explanation:

If ABC is congruent to DEF, then BC is congruent to EF.

And A would be congruent to D.

Answer: Second Option, with a downward trend from left to right.

Step-by-step explanation:

We just have to find a graph that matches up with a slope of -2 or a rise/run of -2/1.

The graph represented by y = -2x is the graph in option B.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The equation, y = -2x  is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

In the graph attached with the answer below it is observed that the line y = -2x is passing from the origin and covering the second and the fourth quadrant of the coordinate axis x and y.

It is also observed that the line y = -2x is passing from the point (0,0) then the y-intercept is zero for the equation.

Therefore, the graph represented by y = -2x is the graph in option B.

To know more about graphs follow

https://brainly.com/question/25020119

#SPJ6

Answer: i'd say c

Step-by-step explanation:

Answer:

0.001728 is the cube of [tex]\frac{3}{25}[/tex]

Step-by-step explanation:

0.001728 = [tex]\frac{1728}{1000000}[/tex]

break down each using LCD

1728 / 2 = 864

864 / 2 = 432

432 / 2 = 216

216 / 2 = 108

108 / 2 = 54

54 / 3 = 27

27 / 3 = 9

9 / 3 = 3

3 / 3 = 1

1000000 / 2 = 500000

500000 / 2 = 250000

250000 / 2 = 125000

125000 / 2 = 62500

62500 / 2 = 31250

31250 / 5 = 15625

15625 / 5 =3125

3125 / 5 =625

625 /2 = 125

125 / 5 =25

25 / 5 = 5

5 / 5 = 1

*don't forget to add another 2 for each group*

[tex]\frac{1728}{1000000}[/tex] = [tex]\frac{2 * 2 * 2 * 2 * 2 * 2 * 3 * 3 * 3}{2 * 2 * 2 * 2 * 2 * 2 * 5 * 5 * 5 * 5 * 5 * 5}[/tex]  

= [tex]\frac{3 * 3 * 3}{5 * 5 * 5 * 5 * 5 * 5}[/tex]

= [tex]({\frac{3x^{3} }{5x^{3} * 5x^{3} })^{3}[/tex]

= [tex]\sqrt[3]{\frac{1728}{1000000} } = (\frac{3}{5 * 5} )^{3}[/tex]

=[tex]\sqrt[3]{\frac{1728}{1000000} } = \frac{3}{5 * 5}[/tex]

= [tex]\sqrt[3]{0.001728} = \frac{3}{25}[/tex]

Answer:

see below

Step-by-step explanation:

if its perimeter is 60 each side is 60/3 = 20.

Its height will be 10√3 so area is 20 * 10√3 / 2 = 100√3

Answer:

x=11  solution is not extraneous

Step-by-step explanation:

sqrt( x-5) +7 = 11

Subtract 7 from each side

sqrt( x-5) +7-7 = 11-7

sqrt(x-5) = 4

Square each side

(sqrt(x-5))^2 = 4^2

x-5 = 16

Add 5 to each side

x-5+5 = 16+5

x = 21

Check

sqrt( 21-5) +7 = 11

sqrt(16) +7 =11

4+7 =11

11=11

Valid solution

Answer:

B)  x = 21, solution is not extraneous

Step-by-step explanation:

√(x - 5) + 7 = 11

(√(x - 5) + 7) - 7 = 11 - 7

√(x - 5) = 4

(√(x - 5))² = (4)²

x - 5 = 16

(x - 5) + 5 = 16 + 5

x = 21

The solution is not extraneous.  An extraneous solution is a solution that is not included in the domain.  For this equation the domain would be [-5, ∞).  The solution found is included in the domain

Answer:

7/8 aren't in the school band

Answer:

C

Step-by-step explanation:

This could be either 90° counterclockwise or 270° clockwise but the latter is not an option so the answer is C.

Answer:

d

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

x² + 16 = 0

x² = - 16

x² = i² * 4²            {i²  = -1}

x² = (4i)²

x=√(4i)²

x=±4i

x² + 16 = (x + 4i)(x - 4i)

Answer:

The answer is "728 routes"

Step-by-step explanation:

The number of ways to proceed from (0, 0) to (5, 7) is as follows:

[tex]\Rightarrow \frac{(7+5)!} {(7! \times 5!)} \\\\ \Rightarrow \frac{12!}{(7! \times 5! )}\\\\\Rightarrow \frac{12 \times 11 \times 10 \times 9 \times 8 \times 7!}{7! \times 5!}\\\\\Rightarrow \frac{12 \times 11 \times 10 \times 9 \times 8}{5!}\\\\\Rightarrow \frac{12 \times 11 \times 10 \times 9 \times 8}{5\times 4 \times 3 \times 2 \times 1}\\\\\Rightarrow \frac{ 11 \times 9 \times 8}{1}\\\\\Rightarrow 11 \times 9 \times 8\\\\\Rightarrow 11 \times 72\\\\\Rightarrow 792[/tex]

We would like to delete the ways of (0, 0) to (2, 3)  That's the resolution:

[tex]\Rightarrow \frac{(3+2)!}{(3!\times2!)} \\\\ \Rightarrow \frac{5!}{(3!\times2!)} \\\\\Rightarrow \frac{5\times 4\times 3! }{(3!\times2 \times 1)} \\\\\Rightarrow \frac{5\times 4}{(2 \times 1)} \\\\\Rightarrow \frac{5\times 2}{1} \\\\\Rightarrow 10 \ ways[/tex]

[tex]So, \\\\ \Rightarrow 792 -10 \\\\ \Rightarrow 782 \ routes[/tex]

Answer:

a

Step-by-step explanation:

the side x looks smaller than 8 m.

The only option smaller than 8 m is a, 5.2 m

Answer: y=4

Step-by-step explanation:

9/4y-12=1/4y-4+12

+12. +12

9/4y=1/4y+8

-1/4y -1/4y

2y/2=8/2

y=4

Step-by-step explanation:

8:15::16:x

8x = 15 x 16

8x = 240

x = 240/8

x = 30

Answer:

Step-by-step explanation:

The rule is if 2 chords intersect inside a circle, then the measure of the angle formed is one half the um of the measure of the arcs intercepted by the angle and its vertical angle. In other words, angle TSU = 1/2(arc TU + arc MV):

angle TSU = 1/2(90 + 80) and

angle TSU = 1/2(170) and

angle TSU = 85

Answer:

Step-by-step explanation:

The question is not properly structured. Here is the complete question.

For cones with radius 6 units, the equation V=12\pi h relates the height h of the cone, in units, and the volume V of the cone, in cubic units. Sketch a graph of this equation on the axes.

The formula for calculating the volume of a cone is expressed as shown;

[tex]V = \frac{1}{3} \pi r^{2} h[/tex] where r is the radius and h is the height.

Given radius r = 6units, on substituting;

[tex]V = \frac{1}{3}*\pi *6^{2}*h\\ V = \frac{36\pi h}{3}\\V = 12\pi h... (1)[/tex]

It can be seen from the derived volume of the cone that it is linear in nature. The volume of the cone has a linear relationship with its height. As the volume increases, the height also increases and vice versa.

Generally for a direct variation

[tex]if\ y\ \alpha x \ \\y = kx[/tex]

where k is the constant of proportionality. comparing to equation 1, k = 12π.

Find the graph attached

Answer:

  WU = (14√13)/13 ≈ 6.6564

Step-by-step explanation:

Call the incenter of ∆KWU point A. Call the center of circle ω2 point B.

Then ∠KWA has half the measure of arc WA. ∠AWU is congruent to ∠KWA, so also has half the arc measure. That is, ∠KWU has the same measure as arc WA and ∠KBW.

KB is a perpendicular bisector of chord WU, so ∆KWB is a right triangle, of which WU is twice the altitude to base KB.

The length of KB can be found several ways. One of them is to use the Pythagorean theorem:

  KB² = KW² +WB² = 4² +6² = 52

  KB = √52 = 2√13

The area of triangle KWB is ...

  area ∆KWB = (1/2)KW·WB = (1/2)(4)(6) = 12 . . . . square units

Using KB as the base in the area calculation, we have ...

  area ∆KWB = (1/2)(KB)(WU/2)

  12 = KB·WU/4

  WU = 48/KB = 48/(2√13) = 24/√13

  WU = (24√13)/13 ≈ 6.6564

Answer:

A

Step-by-step explanation:

This isn't an equation because there is no = sign so we can eliminate B and C. Since this has variables in it it's algebraic so the answer is A.