A carver begins work on the following block of granite. What is the volume of the granite? Be sure to include units. ​

The graph of functions y=x+5, y=-(x+5), and y = |x+5| are shown in figure.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Equations are,

y = x + 5

y = - (x + 5)

y = |x + 5|

Since, All equations shows equation of line.

Hence, We can draw all the equations as shown in figure.

y = x + 5

Slope = 1

y - intercept = 5

y = - x - 5

Slope = - 1

y - intercept = - 5

Thus, The graph of functions y=x+5, y=-(x+5), and y = |x+5| are shown in figure.

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Answer: x^3+5x^2

Step-by-step explanation:

Answer:

140°

Step-by-step explanation:

The sum of interior angles of a n-agon is (n - 2) * 180°

a hexagon should have the sum of angles equal to

4 * 180° = 720°

Now we know that the other five angles have total measure

80° + 90° + 130° + 130° + 150° = 580°

So the sixth one has to be:

720° - 580° = 140°

Answer:140°

Step-by-step explanation: required equation : 180*(n-2)

since it is a hexagon, the sum of all interior angles=180*(6-2)

                                                                                       =180*4 =720°

now the measure of 6th angle=720 -(80+90+130+130+150)

                                                    = 720 -580

                                                   = 140

Answer:

Hi! The answer to your question is 0.142857. (Convert the fraction to a decimal by dividing the numerator by the denominator)

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

All sides are equal better explenation bellow

Step-by-step explanation:

It's a mirror flip of a ABC triangle

Yet you can say AB Is = to DE

And since most likely it's a 60° triangle all the angles are 60°

All triangles have 180°

Which means AB =BC

BC= AC

BC =CD

DE= CD

CE=DE

Which means all the sides are equal

Answer:

The answer is D) d=3!!!!!

Answer:

Where is the question? You didn't post it.

Answer:

1) f - 2

2) 45 + b

3) s - 82

4) 52c

5) t/5

Answer:

1) f-2

2) 45+b

3) s-82

4)52c

5)t/5

Answer:

Step-by-step explanation:

Answer:

Independent

Step-by-step explanation:

The reliance of an event on the outcine of another event gives rise to a dependent event. For any two or more event, whereby the outcome of event A has no effect on the possible outcome of event B, then such scenario is termed as being Independent. In the scenario described above, the outcome oof Sam's pick does not depend on the outcine of Steve's pick. This is because, once Steve makes his selection, the marble is returned into the box before Sam makes his own selection.Therefore, no matter the color of marble picked by Steven, it will have no bearing on the outcome of Sam's pick.

Answer: 5x - 1

Step-by-step explanation: 3x + 2x = 5x and -6 + 5 = -1, so 5x - 1.

Answer:

The sum of (3x – 6) + (2x + 5) is 5x - 1

Step-by-step explanation:

(3x - 6) + (2x + 5)

3x - 6 + 2x + 5

3x + 2x - 6 + 5

5x - 1

Thus, The sum of (3x – 6) + (2x + 5) is 5x - 1

-TheUnknownScientist

Answer:

The area of the dance floor will be 788.48ft²

Step-by-step explanation:

Since 5cm represents 8ft, it means

1cm represents 8/5ft.

The scale length is 22cm, therefore the actual length would be

22 x 8/5ft = 35.2ft

The scale breadth is 14cm, therefore the actual breadth would be

14 x 8/5ft = 22.4ft

The area of the dance floor will be

(35.2ft)(22.4ft) = 788.48ft²

Answer:

Alternate interior angles have the same measure. As we know that 'angle 1 ' and 50° are alternate interior angles hence they must be equal. Also we now that sum of all the angles of a triangle is equal to 180°. Hence, m∠2=15°

Step-by-step explanation:

Answer:

90°

Step-by-step explanation:

This is a kite.

The angle measures of the diagonals (the lines in the middle) are always going to be 90° if they looks like this without any other measures. This goes for all other quadrilaterals as well.

m∠2=90°

Hope I helped.

Answer:

10, 5, 19

Step-by-step explanation:

Recall that

[tex] {a}^{2} - {b}^{2} = (a + b)(a - b)[/tex]

So we can multiply the fraction by

[tex] \frac{2 \sqrt{5} + 1 }{2 \sqrt{5} + 1 } [/tex]

And get

[tex] \frac{ \sqrt{5} }{2 \sqrt{5} - 1} \times \frac{2 \sqrt{5} + 1 }{2 \sqrt{5} + 1 } = \frac{10 + \sqrt{5} }{20 - 1} = \frac{10 + \sqrt{5} }{19} [/tex]

Answer:

x = 16  y= 16√3

Step-by-step explanation:

we know that a angle is 60 degrees. Thanks to this information we can say that x is half the hypothenuse, so is value is 16.

y can be express as √3/2 x 32 = 16√3

Answer:

20 sq units

Step-by-step explanation:

Answer:

20 sq units

Hope it helps :)

Answer:

answer is 9

Step-by-step explanation:

1st method: Proportion

15/100 = n/60

cross-multiply to get:

100n = 900

n = 900/100

n = 9

2nd method: Convert % to Decimal and Multiply

.15 × 60 = 9

Answer:

400 students voted in the election

Step-by-step explanation:

Given:

Total number of votes received by Priscilla = 240

This was 60% of the students who voted in the election.

To find: Total number of students who voted in the election

Solution:

Total number of votes received by Priscilla = 60% of Total number of students who voted in the election

240 = 60% of Total number of students who voted in the election

240 = [tex]\frac{60}{100}[/tex] × Total number of students who voted in the election

So,

Total number of students who voted in the election [tex]=\frac{240(100)}{60}=400[/tex]

Answer:

$44.021

Step-by-step explanation:

$47.98 - 8.25% = $44.021

Answer:

X-Axis

Step-by-step explanation:

The Y changed from negative to positive meaning that it reflected across the X-Axis

(っ◔◡◔)っ ♥ Hope It Helps ♥

Answer:

x axis

Step-by-step explanation:

Since the x value stayed the same and the y value changed, we can tell that the point was reflected over the x axis.

Another way to think of it:

If you draw a graph and put both points on the graph, try to fold the paper on one of the axis's. Whichever fold causes the two points to touch, is the axis that point D was reflected on.

Answer:

<FNM = 73

Step-by-step explanation:

we are given

GNF = 60

MNL = 47

60+47=107

107-180=73

Answer:

S = 2(lw + lh + wh)Step-by-step explanation:

Answer:

17.5

Step-by-step explanation: