Savannah is using unit cubes to determine the volume of her desk drawer. What is true about the volume of Savannah's drawer?

Answer:

Part A

The estimated solution of the graph is (37/29, -30/29)

Part B

The equation of the blue line is y = 0.6·x - 1.8

The equation of the red line is y = (-4/3)·x + 2/3

Step-by-step explanation:

Part A

From the given graph, we have two lines, one red and one blue line, intersecting in Quadrant IV

Given that the equation of the lines are also required, we find the solution of the graph, through the equation of the lines as follows;

The points through which the blue line passes are (-2, -3), and (3, 0)

The slope of the blue line, [tex]m_b[/tex] = (0 - (-3))/(3 - (-2)) = 0.6

Therefore, we have;

y - 0 = 0.6·(x - 3)

∴ The equation of the blue line is y = 0.6·x - 1.8

The approximate points through which the red line passes are (-1, 2) and (-2.5, 4)

The slope of the red line, [tex]m_r[/tex] = (4 - 2)/((-2.5) - (-1)) = -4/3

Therefore, we have;

y - 2 = (-4/3)·(x - (-1)) = (-4/3)·x - 4/3

∴ The equation of the red line is y = (-4/3)·x - 4/3 + 2 = (-4/3)·x + 2/3

y = (-4/3)·x + 2/3

The solution for the graph is the point where the y-values are equal

Therefore, wat the solution point, y = y, and 0.6·x - 1.8 = (-4/3)·x + 2/3

0.6·x + 4/3·x  = 1.8 + 2/3

x = (1.8 + 2/3)/(0.6 + (4/3)) = 37/29 ≈ 1.28

At the solution of the graph, y = 0.6 × (37/29) - 1.8 = -30/29

Therefore, the estimated solution of the graph is (37/29, -30/29)

Part B

From the above solution of the graph, we have;

The equation of the blue line: y = 0.6·x - 1.8

The equation of the red line: y = (-4/3)·x + 2/3

Answer:

B

Step-by-step explanation:

B

Answer:

false it can be in any order but must be according to the set of data

Answer:

r = 20 km

General Formulas and Concepts:

Symbols

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Circumference of a Circle Formula: C = 2πr

Step-by-step explanation:

Step 1: Define

Identify variables

C = 125.6 km

Step 2: Solve for r

Answer:

197.29

Step-by-step explanation:

Multiple the circumfernece by 3.14 and then divide that number by 2.

jzgsgßiqhwgwgah I don't know

Answers:

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

Explanation:

If 156 degrees is the interior angle measure, then 180-156 = 24 is the exterior angle measure.

Divide 360 over this to find that 360/24 = 15

This means the regular polygon has 15 sides.

I'm using the idea that if n is the number of sides, then 360/n is the exterior angle measure. So 180 - (360/n) is the interior measure.

Answer:

me :- mighty assassin-,-

xd

9514 1404 393

Answer:

  (b)  36 in²

Step-by-step explanation:

The right triangle at lower right has a vertical leg of 3 and a hypotenuse of 5. Then the horizontal leg is ...

  √(5² -3²) = √16 = 4

Then the horizontal diagonal is 4+4 = 8. The vertical diagonal is 6+3 = 9. The area is half the product of the diagonals, so is ...

  A = 1/2(d1)(d2) = 1/2(8 in)(9 in) = 36 in²

__

You could figure the areas of the triangles separately, but you would come to the same result. This formula is good for a rhombus or a kite (or a square, which is also a rhombus), because the diagonals are perpendicular to each other.

Answer:

b. -1/3

Step-by-step explanation:

a/4=2/3

a=8/3

(a-4)/4

(8-12)/12

=-4/12

=-1/3

Answer:

-1/3

Step-by-step explanation:

a/4=2/3

Multiply each side by 4

a/4 *4=2/3 *4

a = 8/3

(a-4)/4

(8/3 - 4) /4

Getting a common denominator

(8/4 - 12/3) /4

(-4/3)/4

-1/3

Answer:the left one

Step-by-step explanation:

Answer:

[tex]60st \\ = (60 \times 5 \times - 3.7) \\ = - 1110[/tex]

Answer:

-1110

Step-by-step explanation:

given:

s = 5

t = -3.7

to find

60st

=60*s*t

=60*5*(-3.7)

=300*-3.7

=-1110

Answer:

The answer is 3/5

Step-by-step explanation:

The amount of balloon to be given away= 1/5

The number of friends to

receive the balloon = 3

Therefore the total fraction of balloons that he gave away = 1/5 × 3

=3/5

Answer:

5x - 30

Step-by-step explanation:

5(x-6)

Distribute the 5 to both terms inside the parentheses

5*x - 5*6

5x - 30

Answer:

5x-30

Step-by-step explanation:

use the distributive property

Answer:

The range of both [tex]f(x)[/tex] and [tex]g(x)[/tex] is all nonzero real numbers.

Step-by-step explanation:

The range of the function is the set of real number for [tex]y[/tex]. The rational function of the form [tex]y = \frac{a}{x}[/tex], where [tex]a[/tex] is a constant, has a range represented by the subset of nonzero real numbers. This is: [tex]Ran\{f(x)\} = \mathbb{R}-\{0\}[/tex]

Hence, the correct answer is: The range of both [tex]f(x)[/tex] and [tex]g(x)[/tex] is all nonzero real numbers.

Answer:

f(x) = (x + 20)(x - 24)(x + 10)(x + 12)

Step-by-step explanation:

This is an equation of degree 4 and as the beginning of the graph descends from negative x the polynomial will have a positive leading coefficient. The graph is roughly W shaped.

It also has zeroes at x = -20,-12 ,-10 and x = 24.

So it is the first option.

Answer:

V = 400 ft^3

Step-by-step explanation:

The area of the base of this regular square pyramid is (10 ft)^2, or 100 ft^2.

Recalling that the area of a pyramid is V = (1/3)(base area)(height), in this case we get V = (1/3)(100 ft^2)(12 ft)  =  400 ft^3

Answer:

Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.

Step-by-step explanation:

Here are the steps I think you probably will go through.

1. Draw a line that is longer than the segment but shorter than the width of the page.

1a. Make sure this line is  at least 1/2 inch from the left hand side.  

2. Use a compass to measure the length of the original segment. Never use a ruler. Rulers do not exist in pure geometry.

3. Measure out the distance on the line you just drew with the compass. One end is on the left hand edge and the other end (the pencil end) is marking the segment so it is the same length as the compass. You are done.

The key step either two or three.The steps to copy a line segment are given below:

1. Lets start with a line segment AB that we have to copy.

2. Now mark a point C. below or above AB, that will be one endpoint of the new line segment.

3. Now, put the compass tip on point A of the line segment AB.

4. Spread the compass up to point B, so as the compass width is equal to length of AB.

5. Without changing the compass width, now place the compass tip on the point C that you made in step 2.

6. Now, draw an arc roughly without changing the compass settings. Mark that point D. This will form the new line segment.

7. Draw a line from C to D.

Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.

Answer:

200/17 years

Step-by-step explanation:

Simple interest = (principle * time * rate) / 100i

Answer:

Holly would have 20 1/10 sized ribbons.

Step-by-step explanation:

One whole ribbon would equal out to 10, this number multiplied by 2 would be 20. Therefore meaning she should have 20 1/10 sized pieces of ribbon.

Answer:

;)))

Step-by-step explanation:

Answer:

????? sus

Step-by-step explanation:

sussy baka????

among sus

Answer:

y = 2

Step-by-step explanation:

Using the sine ratio and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{\sqrt{2} }{y}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

y = ([tex]\sqrt{2}[/tex] )² = 2

Answer:

No

Step-by-step explanation:

This is because it's part of a whole.  It has to be an integer to be whole.

Answer:

no because Whole numbers include positive integers along with 0 and also  Whole numbers include natural numbers that begin from 1 onwards and also this a negative are not considered as a whole number so its a no

Step-by-step explanation:

Answer:

y = 1/6x - 4

Step-by-step explanation:

y = -6x - 4  

current slope is -6 so the slope of a line perpendicular would be 1/6

y = 1/6x - 4

Answer:

its the first one

Step-by-step explanation:

9514 1404 393

Answer:

  C.  50°

Step-by-step explanation:

The angle whose tangent is 1.19 is ...

  arctan(1.19) ≈ 49.9585° ≈ 50°

The 50° measure of an angle whose tangent is 1.19.

Tangent in geometry,  is defined as "a line or plane that touches a curve or curved surface exactly at one point" .

According to the question,

The degree measure of an angle whose tangent in 1.19.

In order to an angle only if arctan(119) = 49.9585 ≈ 50.

Hence, the 50° measure of an angle whose tangent is 1.19.

Learn more about Tangent here

https://brainly.com/question/20725027

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