# Refer to the figure and find the volume V generated by rotating the given region about the specified line. R3 about AB

QUESTION POSTED AT 15/01/2020 - 03:09 AM

QUESTION POSTED AT 15/01/2020 - 03:09 AM

**Answer:**

Hence, volume is: cubic units.

**Step-by-step explanation:**

We will first express our our equation of the curve and the line bounded by the region in terms of the variable y.

i.e. the curve is re

and the line is given as:

Since after rotating the given region about the line AB.

we see that for the following graph

the axis is located at x=1.

and the outer radius(R) is:

and the inner radius(r) is:

Now, the area of the graph= area of the disc.

Area of graph=

Now the volume is given as:

On calculating we get:

Volume= cubic units.

The point (-4, 7) is in the 2nd quadrant. The coordinate of the preimage
of a -90 degrees rotation that resulted to point (-4, 7) will be in the
third quadrant. (i.e. both x and y is negative). Hence, answer is (-7,
-4).

ANSWERED AT 29/01/2020 - 05:41 PM

QUESTION POSTED AT 29/01/2020 - 05:41 PM

Area Of Triangle:

4/2 = 2

2x6 = 12

12x2 = 24ft^2

Remaining area:

150 - 24 = 126ft^2

Maximum length:

126/6 = 21

x = 21ft

4/2 = 2

2x6 = 12

12x2 = 24ft^2

Remaining area:

150 - 24 = 126ft^2

Maximum length:

126/6 = 21

x = 21ft

ANSWERED AT 29/01/2020 - 05:37 PM

QUESTION POSTED AT 29/01/2020 - 05:37 PM

10x + 2y = -2

2y = -10x - 2

y = (-10/2)x - 2/2

y = -5x - 1...the slope here is -5...a parallel line will have the same slope.

y = mx + b

slope(m) = -5

(0,12)...x = 0 and y = 12

now we sub...we r looking for b, the y intercept

12 = -5(0) + b

12 = b

so ur parallel line is : y = -5x + 12

2y = -10x - 2

y = (-10/2)x - 2/2

y = -5x - 1...the slope here is -5...a parallel line will have the same slope.

y = mx + b

slope(m) = -5

(0,12)...x = 0 and y = 12

now we sub...we r looking for b, the y intercept

12 = -5(0) + b

12 = b

so ur parallel line is : y = -5x + 12

ANSWERED AT 29/01/2020 - 05:36 PM

QUESTION POSTED AT 29/01/2020 - 05:36 PM

10x + 2y = -2

2y = -10x - 2

y = -(10/2)x - 2/2

y = -5x - 1 y = mx + c, slope m = -5.

If it is parallel, then the slope of the second line ought to be -5 as well.

So you should fill -5 in the bracket.

2y = -10x - 2

y = -(10/2)x - 2/2

y = -5x - 1 y = mx + c, slope m = -5.

If it is parallel, then the slope of the second line ought to be -5 as well.

So you should fill -5 in the bracket.

ANSWERED AT 29/01/2020 - 05:36 PM

QUESTION POSTED AT 29/01/2020 - 05:36 PM

John needs 234 dollars more for the bike. About 235

336-103=234

ANSWERED AT 29/01/2020 - 05:35 PM

QUESTION POSTED AT 29/01/2020 - 05:35 PM

**Answer:**

Second figure is an example of perpendicular lines.

**Step-by-step explanation:**

The perpendicular lines are those that forms at the base of the vertical line.

The straight lines denotes the angle

The first figure is not correct both are intersecting tilted lines.

The second figure is correct since they form right angle that is angle.

The third figure is again tilted lines hence, not correct.

The fourth figure is again tilted lines hence, not correct.

therefore, second figure is correct.

ANSWERED AT 29/01/2020 - 05:35 PM

QUESTION POSTED AT 29/01/2020 - 05:35 PM

They're just the numbers that are not a zero. For example, If i wanted to round 12.034 to three significant figures, then it would be 12.03, as three digits are not zeros!

ANSWERED AT 29/01/2020 - 05:34 PM

QUESTION POSTED AT 29/01/2020 - 05:34 PM

**Answer:**

**The volume of the empty space is 20.57 unit³.**

**Step-by-step explanation:**

Given,

The volume of the box = 96 cubic units,

Also, the cylindrical container is packed inside the box.

We know that,

The volume of a cylinder is,

Where r is the radius of cylinder,

h is its height,

Here, r = = 2 unit ( Radius = Diameter / 2 )

And, h = 6 units

Thus, the volume of the cylindrical container is,

Hence,** the volume of the empty space between the cylinder and the box **= Volume of the box - Volume of the container

ANSWERED AT 29/01/2020 - 05:33 PM

QUESTION POSTED AT 29/01/2020 - 05:33 PM

The circle isn’t a polygon because it doesn’t have straight sides.

ANSWERED AT 29/01/2020 - 05:33 PM

QUESTION POSTED AT 29/01/2020 - 05:33 PM

F(x) = 3x³ - 12x² - 15x

1) Factor Outside: 3x( x² - 4x - 5)

Factor Inside: 3x(x + 1)(x - 5)

2) Set Equal To 0:

3x = 0

x + 1 = 0

x - 5 = 0

3) Solve:

x = 0, -1, 5

1) Factor Outside: 3x( x² - 4x - 5)

Factor Inside: 3x(x + 1)(x - 5)

2) Set Equal To 0:

3x = 0

x + 1 = 0

x - 5 = 0

3) Solve:

x = 0, -1, 5

ANSWERED AT 29/01/2020 - 05:31 PM

QUESTION POSTED AT 29/01/2020 - 05:31 PM

**Answer:**

APEX - y = -1/3x +10

**Step-by-step explanation:**

ANSWERED AT 29/01/2020 - 05:29 PM

QUESTION POSTED AT 29/01/2020 - 05:29 PM

**Answer:**

**Step-by-step explanation:**

Given the legs of right angled triangle 4 and 5 units. we have to find the length of hypotenuse.

**By Pythagoras theorem,**

**In right angled triangle **the square of the length of the hypotenuse is equal to sum of squares of the lengths of other two sides

**Hence**,

ANSWERED AT 29/01/2020 - 05:29 PM

QUESTION POSTED AT 29/01/2020 - 05:29 PM

7 :). The answer is 1626.911. None of these digits are a zero, so therefore all 7 are sig figs :)

ANSWERED AT 29/01/2020 - 05:27 PM

QUESTION POSTED AT 29/01/2020 - 05:27 PM

ANSWERED AT 29/01/2020 - 05:27 PM

QUESTION POSTED AT 29/01/2020 - 05:27 PM

Point slope formula:

We know that:

m=-13

y1=7

x1=5

Plug those into the equation to get a final answer of:

We know that:

m=-13

y1=7

x1=5

Plug those into the equation to get a final answer of:

ANSWERED AT 29/01/2020 - 05:23 PM

QUESTION POSTED AT 29/01/2020 - 05:23 PM

The height of a dam:

h = x + 1.65 m,

where:

x = 90 m · tan 26°

x = 90 · 0.4877

x = 43.90

h = 43.90 m + 1.65 m = 45.55 m

Answer:

The height of the dam is**45.5 m.**

h = x + 1.65 m,

where:

x = 90 m · tan 26°

x = 90 · 0.4877

x = 43.90

h = 43.90 m + 1.65 m = 45.55 m

Answer:

The height of the dam is

ANSWERED AT 29/01/2020 - 05:23 PM

QUESTION POSTED AT 29/01/2020 - 05:23 PM

**Answer with explanation:**

⇒Position of Pre image = P (-3,-1)

This point is lying in third Quadrant.

⇒Position of Image = P'(3, -1)

This Point is Lying in Fourth Quadrant.

The **Preimage(-3, -1)** is reflected along Negative Y axis to get **Image (3,-1).**

So,** Line of Reflection = Y axis**

ANSWERED AT 29/01/2020 - 05:23 PM

QUESTION POSTED AT 29/01/2020 - 05:23 PM

15+3x=2y

2y=3x+15

y=

Gradient, m=

2y=3x+15

y=

Gradient, m=

ANSWERED AT 29/01/2020 - 05:22 PM

QUESTION POSTED AT 29/01/2020 - 05:22 PM

To get the x-intercepts of the function, f(x) = 4x2 – 24x + 20

It has to be equated to zero and the values of x are the x-intercepts. So,

4x2 – 24x + 20 = 0

The resulting equation is a quadratic equation which can be solved by different methods. The solution is

x = 5, 1

The average therefore is:

(1+5/)2 = 3

ANSWERED AT 29/01/2020 - 05:22 PM

QUESTION POSTED AT 29/01/2020 - 05:22 PM

The answer might be

<PQR = 6x+1

X=3.5

<PQR = 6x+1

X=3.5

ANSWERED AT 29/01/2020 - 05:21 PM

QUESTION POSTED AT 29/01/2020 - 05:21 PM

Dont know man sorry heres a cat

ANSWERED AT 29/01/2020 - 05:20 PM

QUESTION POSTED AT 29/01/2020 - 05:20 PM

I think it's C not sure though.

ANSWERED AT 29/01/2020 - 05:20 PM

QUESTION POSTED AT 29/01/2020 - 05:20 PM

Hint:

r_{y=k): (x,y)->(x,-(y-k)+k)

or simplified,

r_{y=k): (x,y)->(x,2k-y)

So in this case, k=-1, x=2, y=-4

(2,-4) -> (2, 2(-1)-(-4)

(2,-4) -> (2, -2+4)

(2,-4) -> (2, 2)

r_{y=k): (x,y)->(x,-(y-k)+k)

or simplified,

r_{y=k): (x,y)->(x,2k-y)

So in this case, k=-1, x=2, y=-4

(2,-4) -> (2, 2(-1)-(-4)

(2,-4) -> (2, -2+4)

(2,-4) -> (2, 2)

ANSWERED AT 29/01/2020 - 05:19 PM

QUESTION POSTED AT 29/01/2020 - 05:19 PM

**Answer:**

I got 65.94

**Step-by-step explanation**

**3 x 3=9**

**3 x 4=12**

**12+9= 21**

**21 x 3.14 = 65.94**

ANSWERED AT 29/01/2020 - 05:18 PM

QUESTION POSTED AT 29/01/2020 - 05:18 PM

1.5x + 0.2y = 2.68....multiply by 0.3

1.6x + 0.3y = 2.98...multiply by - 0.2

------------------------

0.45x + 0.06y = 0.804 (result of multiplying by 0.3)

- 0.32x - 0.06y = - 0.596 (result of multiplying by - 0.2)

----------------------add

0.13x = 0.208

x = 0.208/0.13

x = 1.6

1.5x + 0.2y = 2.68

1.5(1.6) + 0.2y = 2.68

2.4 + 0.2y = 2.68

0.2y = 2.68 - 2.4

0.2y = 0.28

y = 0.28/0.2

y = 1.4

solution (they intersect at) (1.6,1.4)

1.6x + 0.3y = 2.98...multiply by - 0.2

------------------------

0.45x + 0.06y = 0.804 (result of multiplying by 0.3)

- 0.32x - 0.06y = - 0.596 (result of multiplying by - 0.2)

----------------------add

0.13x = 0.208

x = 0.208/0.13

x = 1.6

1.5x + 0.2y = 2.68

1.5(1.6) + 0.2y = 2.68

2.4 + 0.2y = 2.68

0.2y = 2.68 - 2.4

0.2y = 0.28

y = 0.28/0.2

y = 1.4

solution (they intersect at) (1.6,1.4)

ANSWERED AT 29/01/2020 - 05:18 PM

QUESTION POSTED AT 29/01/2020 - 05:18 PM

The radius of your cone is half of 18 units = 9 units.

The volume of any cone is

-- Take that formula for the volume of any cone.

-- Write '8' in place of 'height'.

-- Write '9' in place of 'radius'.

-- Write '3.142' in place of 'pi'.

-- Complete the arithmetic.

-- Bada-bing, you've got the volume.

ANSWERED AT 29/01/2020 - 05:17 PM

QUESTION POSTED AT 29/01/2020 - 05:17 PM

The coordinates of the image are : **C ) ( 2, 2 )**

ANSWERED AT 29/01/2020 - 05:17 PM

QUESTION POSTED AT 29/01/2020 - 05:17 PM

In the question "This figure shows the procedure for constructing a" The correct answer is "bisector of an angle" (option C).
To construct an angle bisector: Draw an arc that is centered at the vertex of the angle to intersect both sides of the angle. From the point of intersection of the previous arc and the both sides of the angle, draw two more arcs to intersect at a point. The radius for the two arcs must be equal. Then draw a straight line from the point of intersection of the later set of arcs and the vertex of the angle.

ANSWERED AT 29/01/2020 - 05:17 PM

QUESTION POSTED AT 29/01/2020 - 05:17 PM

Ummm... I explained the whole process earlier, and was mistakenly issued for plagiarism. Which really sucks, because it took forever to type and format all of those formulas and steps.

Here's the shortened version...

V=

d (diameter) = 2r

so 24/2 = 12

plug in...

You should get approx. 7234.56, and don't forget to label it appropriately, it should be units cubed.

Here's the shortened version...

V=

d (diameter) = 2r

so 24/2 = 12

plug in...

You should get approx. 7234.56, and don't forget to label it appropriately, it should be units cubed.

ANSWERED AT 29/01/2020 - 05:17 PM

QUESTION POSTED AT 29/01/2020 - 05:17 PM

Hello,

ANSWERED AT 29/01/2020 - 05:16 PM

QUESTION POSTED AT 29/01/2020 - 05:16 PM