Find the volume of the composite figure.

First, find the volume of the cylinder.

Use 3.14 for T. 9 cm
Cylinder Volume = [?] cm 8 cm 6 cm Rectangular Prism Volume = [ ]cm 8 cm 14 cm Total Volume of Composite Figure = [ ] cm3​

Answer:

the length of the pole is 9.90 feet.

Step-by-step explanation:

9514 1404 393

Answer:

  (b)  x = 7, AB = 9, AC = 12

Step-by-step explanation:

ΔAEB ~ ΔCDB so corresponding sides are proportional.

  AB/CB = AE/CD

  (x+2)/(x -4) = 12/4

  x +2 = 3(x -4) . . . . . . multiply by x-4

  x +2 = 3x -12 . . . . . . eliminate parentheses

  14 = 2x . . . . . . . . . . . add 12-x

  7 = x . . . . . . . . . . . . . divide by 2

AB = x +2 = 7 +2 = 9

BC = x -4 = 7 -4 = 3

AC = AB +BC = 9 +3 = 12

__

In summary, ...

  x = 7, AB = 9, AC = 12 . . . . . matches the 2nd choice

_____

Additional comment

Please note the other choices make no sense.

  (a) AB = x +2 = -5 +2 = -3 ≠ -9

  (c) AC = 2x-2 = 2(7) -2 = 12 ≠ 9

  (d) segment lengths are never negative in a geometrical figure

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

(6x + 3) + (7x - 44) = 180

6x + 3 + 7x - 44 = 180

13x - 41 = 180

13x = 221

adjacent x = 17

Answer:

226 1/8

Step-by-step explanation:

Substitute the measurements of the container into the formula.

The amount of cardboard Rajek can fit in the container at one time is  cubic feet.

The total surface area of the container is 9L + 9W + 50 1/4

A rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

We have,

To find the total amount of cardboard that can fit in the container at one time, we need to find the surface area of the container.

The container has a rectangular base with an area of 50 1/4 square feet.

Let's assume the length of the base is L and the width is W.

We know that:

L x W = 50 1/4

We also know that the height of the container is 4(1/2) feet, which is equivalent to 9/2 feet.

The container has two identical sides, which are rectangles with a length of L and a height of 9/2 feet.

The surface area of one side is:

L x (9/2) = (9/2)L

The container also has two identical ends, which are rectangles with a width of W and a height of 9/2 feet.

The surface area of one end is:

W x (9/2) = (9/2)W

Finally, the container has a top, which is a rectangle with a length of L and a width of W.

The surface area of the top is:

L x W

To find the total surface area of the container, we add up the surface area of each of these parts:

Total surface area = 2(L x (9/2)) + 2(W x (9/2)) + (L x W)

Simplifying this expression, we get:

Total surface area = 9L + 9W + LW

We know that L x W = 50 1/4, so we can substitute this into the equation:

Thus,

The total surface area of the container is 9L + 9W + 50 1/4

Learn more about rectangles here:

https://brainly.com/question/15019502

#SPJ2

Answer:

Step-by-step explanation:

Answer:

first type of fruit juice (35%) = 4

second type of fruit juice (100%) = 4

Step-by-step explanation:

4×35 = 140

4×100 = 400

400-140 = 260

Step-by-step explanation:

Answer:

d 16 minutes

Step-by-step explanation:

1 mile equals 8 minutes

2 miles equals 16 minutes

Answer:

5206 cm^2

Step-by-step explanation:

2(31×23 + 31×35 + 23×35)

2(713 + 1085 + 805)

2(2603)

5206

Answer:

38° because the other two are cm? also you haven't linked a photo so I can't work out angle A

Answer:

y=16 bc 17 -16 =1 which if u do backward equals the same thing

and all together is

18y+1 and just leave it like that dont touch the numbers or anything bc you cant take a 1 and join it with a variable

you can only join numbers with numbers and variables with variables

Answer:

the answer is 9√3

sin60°= p/h

√3/2 = x/18

by cross multiplication we get

18√3=2x

therefore: x=9√3

Answer:

I think it's 12√3

I don't know if I'm correct

i wont give the answer but i will tell you how to solve

Opening Exercise

The original triangle, labeled A, has been reflected across the first line, resulting in the image labeled B. Reflect the image across the second line. Carlos looked at the image of the reflection across the second line and said, “That’s not the image of triangle A after two reflections; that’s the image of triangle A after a rotation!” Do you agree? Why or why not?

Discussion

When you reflect a figure across a line, the original figure and its image share a line of symmetry, which we have called the line of reflection. When you reflect a figure across a line and then reflect the image across a line that intersects the first line, your final image is a rotation of the original figure. The center of rotation is the point at which the two lines of reflection intersect. The angle of rotation is determined by connecting the center of rotation to a pair of corresponding vertices on the original figure and the final image. The figure above is a 210° rotation (or 150° clockwise rotation).

Exploratory Challenge

Line of symmetry of a figure: This is an isosceles triangle. By definition, an isosceles triangle has at least two congruent sides. A line of symmetry of the triangle can be drawn from the top vertex to the midpoint of the base, decomposing the original triangle into two congruent right triangles. This line of symmetry can be thought of as a reflection across itself that takes the isosceles triangle to itself. Every point of the triangle on one side of the line of symmetry has a corresponding point on the triangle on the other side of the line of symmetry, given by reflecting the point across the line. In particular, the line of symmetry is equidistant from all corresponding pairs of points. Another way of thinking about line symmetry is that a figure has line symmetry if there exists a line (or lines) such that the image of the figure when reflected over the line is itself.

Does every figure have a line of symmetry?

Answer: 105m²

Formula for Area of Circle: A = π r²

so, A = 3.14 (6)² (I got 6 because radius is half the diameter)

Don't forget to divide the final area of the circle in half, because It's only a semicircle.

Formula for Triangle: A = [tex]\frac{bh}{2\\}[/tex]

so, A = [tex]\frac{6(8)}{2}[/tex] (again, the "6" is just the diameter divided in half which forms the base of ONE triangle.)

You need to multiply the final area of the triangle by 2 since there are 2 triangles.

Step-by-step explanation:

Cos Milky said it. Trust Milky. Milky smart.

Answer:

deez nù Tx. . .

Step-by-step explanation:

source:trust me bro

Answer: 505

Step-by-step explanation:

I searched it up

Function:

A. x times 60 = the amount of squirrels in that year

Answer

B. 6 X 60 = 360

Step-by-step explanation

Years   | Squirrels

______________

 1          |       60

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

   2      |       120

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

   3      |        180

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

  4      |        240

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

   5     |     300

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

   6    |     360

Answer:

7.21 units

Step-by-step explanation:

GIven data

Point 1= (8,3)

x1= 8

y1= 3

Point 2=  (2,7)​

x2= 2

y2= 7

The expression for the distance between two points is given as

d=√((x_2-x_1)²+(y_2-y_1)²)

substitute

d=√((2-8)²+(7-3)²)

d=√((-6)²+(4)²)

d=√36+16

d=√52

d= 7.21

Hence the distance between the points is 7.21 units

Answer:

Given

f(x)=18,000(.88)^x

We need to find the value of x when f(x) <2000

2000 = 18000(0.88)^x

0.88^x 2000/18000

0.88^x 1/9

• x = log (1/9) / log (0.88)

• x= 17 (rounded down)

After 17 years or during year 18 the car value will drop below $2000

Answer:

[tex] \boxed{ \tt{x = 4}}[/tex]

Step-by-step explanation:

[tex] \frac{3}{x} = \frac{6}{8} \\ 6x = 24 \\ x = 4[/tex]

Answer:

16 cm²

Step-by-step explanation:

The dimension of rectangle = 7cm by 4 cm

The Area of the greatest square that can be cut from the rectangle :

The dimension has to be the Same to form a square :

Hence, the greatest width = 4cm

Therefore, taking the length also as 4cm

Area of square = side length²

Greatest area of square that can be cut = 4² = 16cm²

Answer:

4) 8

Step-by-step explanation:

In the formula y = mx + b, m is the slope and b is the y-intercept

m = 8

b = -1

If m = 8 and m is the slope, then the slope is 8

9514 1404 393

Answer:

  59°

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary.

  ∠N +∠L = 180°

  (a +16) +(a -18) = 180

  2a = 182 . . . . . . . . . . add 2

  a = 91 . . . . . . . . . . . . divide by 2

Then the measure of angle M is ...

  ∠M = (a+30)° = (91 +30)° = 121°

and angle K is its supplement.

  ∠K = 180° -121°

  ∠K = 59°

Answer:

w < -2/45

Step-by-step explanation:

To solve the inequality, solve for w.

Divide each side by 10:

-4/9 > 10w

-2/45 > w

So, the solution to the inequality is w < -2/45

Answer:

w<-2/45

w∈(-∞,-2/45)

Step-by-step explanation:

10w<-4/9  /10

w<-2/45

w∈(-∞,-2/45)

Answer:

it would take 215 dollars a year so it would take 23.3 years

Answer:

[tex]Ratio =16 : 31[/tex]

Step-by-step explanation:

Let

x = Freddie's age and y = His mother's age

Given

2001:=  [tex]x : y = 1 : 11[/tex]

2018:= [tex]x +17: y + 17= 2 : 5[/tex]

Required

The ratio of their age in 2030

[tex]x : y = 1 : 11[/tex]

[tex]x +17: y + 17= 2 : 5[/tex]

Express as fractions

[tex]\frac{x}{y} = \frac{1}{11}[/tex] --- (1)

[tex]\frac{x+17}{y+17} = \frac{2}{5}[/tex] -- (2)

In (1), make y the subject

[tex]\frac{x}{y} = \frac{1}{11}[/tex]

[tex]y = 11x[/tex]

Substitute [tex]y = 11x[/tex] in (2)

[tex]\frac{x+17}{y+17} = \frac{2}{5}[/tex]

[tex]\frac{x+17}{11x+17} = \frac{2}{5}[/tex]

Cross Multiply

[tex]5(x +17) = 2(11x + 17)[/tex]

[tex]5x +85 = 22x + 34[/tex]

Collect like terms

[tex]22x - 5x = 85 - 34[/tex]

[tex]17x = 51[/tex]

[tex]x =3[/tex]

[tex]y = 11x[/tex]

[tex]y = 11*3[/tex]

[tex]y = 33[/tex]

This means that: In 2001, Freddie was 3 and his mother was 33

In 2030 (29 years after);

Freddie will be: 3 + 29 = 32

His mother will be: 33 + 29 = 62

So, the ratio is:

[tex]Ratio =32 : 62[/tex]

Divide by 2

[tex]Ratio =16 : 31[/tex]