Find the volume of the rectangular prism:

F. 36x
G. 48x
H. 72x
J. 24x

Step-by-step explanation:

-9x=153 (add 9 on both sides to eliminate the 9 on the side with the x)

-9+9x=153+9

x=162

Answer: 5400 cm^2

Step-by-step explanation:

15 x 20 x 9 x 2 = 5400

Answer:

5400

Step-by-step explanation:

to get volume you multiply length by width by height. so 15 x 20 x 9 which equals 2700. but there are 2 prisms, so you multiply by 2 which equates to 540

Answer:

D) The third side could be 4 meters long.

Step-by-step explanation:

The third side of a triangle must be greater than the difference and less than the sum of the other two sides.

5-4=1

5+4=9

So the third side must be GREATER THAN 1 and LESS THAN 9.  (1<x<9)

Therefore, the answer can't be A or C.  The second one could be correct, depending on how much less than 4 it is.  But the last one is definitely correct.

Answer:

[tex](x+10)^2 + (y+3)^2 = 85[/tex]

Step-by-step explanation:

Equation of a circle:

The standard equation of a circle with center [tex](x_0,y_0)[/tex] is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In which r is the radius.

Center (– 10, –3)

This means that [tex]x_0 = -10, y_0 = -3[/tex]. So

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

[tex](x - (-10))^2 + (y - (-3))^2 = r^2[/tex]

[tex](x+10)^2 + (y+3)^2 = r^2[/tex]

Passes through the point (-3,3).

This means that we use [tex]x = -3, y = 3[/tex] to find the radius squared. So

[tex](x+10)^2 + (y+3)^2 = r^2[/tex]

[tex](-3+10)^2 + (3+3)^2 = r^2[/tex]

[tex]r^2 = 49 + 36[/tex]

[tex]r^2 = 85[/tex]

The equation of the circle is:

[tex](x+10)^2 + (y+3)^2 = r^2[/tex]

[tex](x+10)^2 + (y+3)^2 = 85[/tex]

Answer:

No

Step-by-step explanation:

Bb

Answer: 27%

Step-by-step explanation:

(Trust me)

Answer:

The top box:  3

The middle box:  2

The bottom box:  1

Step-by-step explanation:

In order to fill out the yellow boxes we have to use the equation above the table, and plug in the x values, and so we get...

If x = 2, then

y = x + 1

y = 2 + 1

y = 3

If x = 1, then

y = x + 1

y = 1 + 1

y = 2

If x = 0, then

y = x + 1

y = 0 + 1

y = 1

Complete Question:

The perimeter of triangle DEF is 3x + 3y. Find the measure of the missing side. (One side is x-y, the other is x+y)

Answer:

[tex]Side\ 3 = 2x+ 3y[/tex]

Step-by-step explanation:

Given

[tex]P = 4x + 3y[/tex] --- Perimeter

[tex]Side\ 1 = x - y[/tex]

[tex]Side\ 2 = x + y[/tex]

Required

Determine Side 3

The perimeter of a triangle is calculated as:

[tex]Permeter = Side\ 1 + Side\ 2 + Side\ 3[/tex]

[tex]4x + 3y = x - y + x + y + Side\ 3[/tex]

Collect Like Terms

[tex]4x - x - x+ 3y-y + y = Side\ 3[/tex]

[tex]2x+ 3y = Side\ 3[/tex]

[tex]Side\ 3 = 2x+ 3y[/tex]

Answer:

(-2, -4)

Step-by-step explanation:

When a point is rotated 180 degrees around the origin, the values turn into their opposites.

(2, 4) ⇒ (-2, -4)

Answer:

(-2,-4)

Step-by-step explanation:

You have it correct.  It would move from quadrant I to quadrant III and both values become negative.

(-2,-4)

Answer:

x = 7.423891441

Step-by-step explanation:

Hey There!

So they want you to solve for x using law of sines

Law of sines states that sin ( an angle) divided by it's opposite side equals sin( a different angle) divided by its opposite side

so basically

[tex]\frac{sin23}{x} =\frac{sin90}{19}[/tex]

now we can solve for x

step 1 multiply each side by sin 23

the fraction would split and it would be

[tex]x=\frac{19sin23}{sin90}\\x = 7.423891441[/tex]

So we can conclude that x = 7.423891441

Answer:

13

Step-by-step explanation:

Answer:

Step-by-step explanation:

3(4g - 6) ≥ 6(g + 2)

12g - 18 ≥ 6g + 12

12g - 6g ≥ 12 + 18

6g ≥ 30

[tex]\frac{6g}{6}[/tex] ≥ [tex]\frac{30}{6}[/tex]

g ≥ 5

The sign of the inequality was not flipped, because the inequality was divided by positive number.

Answer:

y = -4x + 3

Step-by-step explanation:

(0, 3) and (2, -5)

m= (y2-y1)/(x2-x1)

m= (-5-3)/(2-0)

m= (-8)/2

m = -4

y - y1 = m(x - x1)

y - 3 = -4(x - 0)

y - 3 = -4x + 0

y = -4x + 3

Answer:

[tex] \frac{2}{5} [/tex]

Answer: 2 committees

Step-by-step explanation: 7 cant be divided evenly by 3. only two times. Only 2 groups can be fully formed.

Answer:

area of polygons

Step-by-step explanation:

you've been given the radius

find the central angle 360/8

highlight a triangle for consideration

draw an altitude

this is your apothem

use sine to find the opposite side

double that, that is 1 side, multiply by 8, that is your perimeter

use cosine to find the apothem length

use 1/2aP to find the area.

Answer:

20 + M = number of songs Moore has now

Step-by-step explanation:

Moore started with 20 songs, so you would need to add the number of songs his friend bought him (M) to the 20 that he already has which will show the total number of songs Moore has.

Answer:

1.5x=y

Step-by-step explanation:

Answer:

C. 1.5x=y is the correct answer

Step-by-step explanation:

A. doesn't work after the first value

B. doesn't work either

C. 1.5*20= 30 1.5*30 = 40 1.5*40= 60 1.5*50= 75

D. Doesn't work see: 30-15 doesn't equal 20

hope this helps <3

Answer:

Graph the system of inequalities. 2x + y 21 x + 3y <-3 у Name two points that are solutions .

Answer:

64

Step-by-step explanation:

Answer:

114 cm^2

Step-by-step explanation:

area of a triangle= base x height divided by 2

Answer:

Triangle = 114 ft²

Rectangle = 374 ft²

Total figure = 488 ft²

Step-by-step explanation:

Triangle = 1/2 b*h

Triangle = 1/2(12x19)

Triangle = 1/2(228)

Triangle = 114 ft²

Rectangle = 22 x 17

Rectangle = 374 ft²

Total area = 114 ft² + 374 ft²

Total area = 488 ft²

Answer:

A

Step-by-step explanation:

57 rounded is 60

19 rounded is 20

60/20

3

Answer:

The equation is: y y = 5/4 * x - 13

Step-by-step explanation:

The slope-intercept y = mx + c form of a straight line is In this case we have a point, (x, y) and the slope, m so all we need is a value for c. Substitute into y = mx + c - 3 = 5/4 * (8) + c - 3 = 10 + c c = - 13 y = 5/4 * x - 13 The equation is: y Or you can use the formula for the situation where you have a point, (x 1 ,y 1 ) and the slope, (m) y-y 1 =m(x-x 1 ) y - (- 3) = 5/4 * (x - 8) y + 3 = 5/4 * x - 10 y = 5/4 * x - 13

Answer:

See below, please!

Step-by-step explanation:

You can use the cos ratio to find the value of x. Since we know cosine is adjacent/hypotenuse, we can do cos(60)=x/40. Then, we multiply each side by 40 to find the value of x. So, x=20.

Answer:

77.5

Step-by-step explanation:

I just did this and I got it correct

Answer:

77.5

Step-by-step explanation:

Answer: 45°

Step-by-step explanation:

Angles of a triangle always add up to 180°.

So to work out what x is you would have to add 110° and 25° then take it away from 180°

110+25=135°

180-135=45°

Hope this helps :)

Answer:

It is 45

Step-by-step explanation:

The whole triangle is 180 so adding 110 plus 25 will get you 135. Then subtract 180 from 135 to get 45

Answer:

Definition of the day after a 6thgirl but if you want to go explore the rest of the house and opened

Answer: y= k/m - x

Step-by-step explanation:

First you need to divide both sides by( M

(m(x+y)) / m = k/m

x + y - x = k/m - x

y = k/m - x

Answer:

5cm wide, 10cm long.

Step-by-step explanation:

I came to this answer by looking for common factors between 50 and 5, and I found 10.

5cm + 5cm = 10cm, so it works.

To confirm this, I multiplied 5 and 10 and got 50cm (squared) which works.

Answer:

Step-by-step explanation:

The graph of g(x) = f(x) - 4 is the same as that of f(x), EXCEPT that it has been translated down by 4 units.  

The graphs of  f(x)=12x2 + 1   and  g(x)=f(x)−4 are both parabolas that open up and have their vertices on the same vertical line (the y-axis).