Place these lengths in order of size with the smallest first:
4.5m, 4.93cm, 475.9mm, 47.3m

Answer/Step-by-step explanation:

Volume of a cone = ⅓*π*r²h

Where,

Radius (r) = 7 mm

Height (h) = 8 mm

Plug in the value into the equation

V = ⅓*3.14*7²*8

V = ⅓*3.14*49*8

V = 410.293333

V ≈ 410.3 mm³ (nearest tenth)

Answer:

24 sides

Step-by-step explanation:

An exterior angle of a regular polygon is 360 divided by the number of sides. The exterior angle is equal to the interior angle subtracted from 180. We can say an exterior angle of this polygon is 180 - 165 or 15. From the first property, we can write an equation:

360/n = 15

360 = 15n

n = 24

24 sides

Another way to do this, is the formula for an interior angle of a regular polygon is:

180(n - 2)/n

This is equal to the interior angle:

180(n-2)/n = 165

180n - 360 = 165n

15n - 360 = 0

15n = 360

n = 24

Answer:

D

Step-by-step explanation:

first find the perimeter of both triangles

Original perimeter: 72 in

scaled perimeter: 24 in

A is wrong since the scaled perimeter is actually smaller.

B is wrong because its not 6 times smaller

C is wrong since it's not 1/9 of the original

D is correct since the scaled is a 1/3 of the original perimeter (72*1/3 = 24)

Answer:

p³+2; 29 plants

Step-by-step explanation:

Hi there!

Find the expression to represent the total number of plants in her garden

p

First, we're told that Iliana cubed the number of flowering plants in her garden. This means she raised the original number of plants by an exponent of 3.

p³

Then, we're told that she added 2 vegetable plants.

p³+2

Find the number of total plants if p=3

p³+2

= (3)³+2

= 27+2

= 29

Therefore, Iliana now has 29 plants in total.

I hope this helps!

Answer:

D

Step-by-step explanation:

Answer:

44 ft

Step-by-step explanation:

11 × 1.5 = 16.5

27.5 + 16.5

44

Answer:

44ft

Step-by-step explanation:

Answer:

Step-by-step explanation:

first one is-0

second-1

Answer:

Yep, it's right! Great job!

Answer:

yes its correct

Step-by-step explanation:

Answer:

2n + 2

Step-by-step explanation:

The formula for nth term of an arithmetic progression is [tex]an = d*n+a1-d[/tex]

In this example we have d = 2 (difference, +2 each time) and a1 =4 (first term of sequence).

[tex]an=d*n+a1-d\\an=2n+4-2\\an=2n+2[/tex]

Answer:

C. All real numbers except [tex]\frac{3}{4}[/tex].

Step-by-step explanation:

The domain of all polynomials is the set of all real numbers, whereas the domain of rational-polynomic functions are the set of all numbers expect for those values of [tex]x[/tex] so that denominator becomes zero. Hence, we need to solve for [tex]x[/tex] from following expression:

[tex]4\cdot x - 3 = 0[/tex]

[tex]4\cdot x = 3[/tex]

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

The domain of the function is all real numbers except [tex]\frac{3}{4}[/tex]. (Right answer: C)

Answer:

D.1

Step-by-step explanation:

the probability of getting the prize by opening a door is 1 out of 5

Answer:

perimeter = 18 units

area = 20 square units.

Step-by-step explanation:

We know that a rectangle is defined by two measures, length L, and width W.

Such that the perimeter is given by:

P = 2*(L + W)

and the area is given by:

A = L*W

Here we know that the vertices of or rectangle are:

(-1, 6)

(-1, 2)

(4, 2)

(4, 6)

Here you can see that we have just two different values of x (-1 and 4) and two different values of y (6 and 2)

So we can define the length L as the difference between the two different values of x:

L = 4 - (-1) = 4 + 1 = 5 units

And the width as the difference between the two different values of y:

W = 6 - 2 = 4 units

A graph of the rectangle can be seen below, to see why I choose to define the length and width in this way.

Now that we know the measures of our rectangle, and using the above formulas for perimeter and area, we get:

P = 2*(W + L) = 2*(5 + 4) = 18 units

A = W*L = 5*4 = 20 square units

Answer:

If the two graphs are symmetric with respect to the line y = x (mirror images over y = x ), then they are inverse functions. But, we need a way to check without the graphs, because we won't always know what the graphs look like! then f(x) and g(x) are inverse functions.

Step-by-step explanation: Hope this helps :)

9514 1404 393

Answer:

  a. 123.2 cm²

  b. 136 m²

Step-by-step explanation:

Use the formulas.

a) The formula is ...

  SA = 2πr(r+h) . . . . where r is half the diameter, and h is the height.

  SA = 2π(2 cm)(2 cm +7.8 cm) = 2·2·9.8π cm² = 123.2 cm²

__

b) The formula is ...

  SA = 2(LW +H(L+W))

  SA = 2((8 m)(3 m) +(4 m)(8 m +3 m)) = 2(24 m² +44 m²) = 136 m²

_____

For the cylinder, we used the "pi button" and rounded to tenths. If you use 3.14 for π, you get 123.1 cm² when rounded to tenths.

Answer:

[tex]\text{a. }123.2\:\mathrm{cm^2},\\\text{b. }136\:\mathrm{m^2}[/tex]

Step-by-step explanation:

Part A:

The total surface area of the cylinder consists of two circular bases and a side area. The area of a circle is given by [tex]A=r^2\pi[/tex], where [tex]r[/tex] is the radius of the circle. Since the diameter is given as 4 cm, the radius must be 2 cm.

Area of two circular bases: [tex]2\cdot 2^2\pi=8\pi=25.1327412287[/tex]

Area of side: [tex]7.8\cdot 2\cdot 2\cdot \pi=31.2\pi=98.017690792[/tex]

Therefore, the cylinder's total surface area is [tex]25.1327412287+98.017690792=123.150432021\approx \boxed{123.2\:\mathrm{cm^2}}[/tex]

Part A:

The total surface area of a rectangular prism with width [tex]w[/tex], length [tex]l[/tex], and height [tex]h[/tex] is given by [tex]2(hl+hw+lw)[/tex].

Thus, the total surface area of the rectangular prism is [tex]2(4\cdot 8+4\cdot 3+8\cdot 3)=2(32+12+24)=2(68)=\boxed{136\:\mathrm{m^2}}[/tex]

I have attached a picture of the double cone.

I have also attached the options missing.

Answer:

Option B is correct

Step-by-step explanation:

From the image of the double given, when we cut a section vertically through the centre where the tips of the cones meet, when we look at the cut section, we will not see curves but straight lines meaning that the top and bottom will be horizontal lines and not curves.

Also, the meeting point of the two cone tips will remain the same.

Looking at the options, the only one that fulfills the condition is option B.

Answer:

B

Step-by-step explanation:

Answer:

it's -7 1/3 because since the equation is all negative you would just simply add the -5 and -2 1/3

Answer:

a) x=-1.5

b) x=2

Step-by-step explanation:

The axis of symmetry is what straight line would divide the parabola directly in half.

Answer:

A. -1.5 B.2

Step-by-step explanation:

The Axis of symmetry is the line that goes through the center of the parabola. And resembles a symmetrical shape that makes the parabola look the same on both sides.

In this case for A, -1.5 would be the answer because it is in the center of the parabola on the x-axis. For B, 2 is the axis of symmetry because it lines up in the center of the parabola.

Confused a bit, can you make sure you copy and pasted it right?

Answer: I think it is B

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

tasha's ballon speed=5 mph

henrey's balloon speed=(31-15)/2=16/2=8 mph

tasha's initial distance was y=5×0+25 =25 miles

Henrey's balloon initial distance=15 miles

Answer:

I think it is D. because it is theoretical

Answer:

A

Step-by-step explanation:

Answer:

I’m not sure if I’m right but here I go.

Step-by-step explanation:

Each line goes from zero and down, look at the ponies where they are and find the coordinates.

Answer:

2501133.6

Step-by-step explanation:

2,100,000(1+.06)^3

You divide 6% by 100 to change it into a decimal. The 3 is 2015-2012 which is the time.

Dead asl (can't keep replying stop blowing my shii up)

YYYYYYYYYYYEEEEEEEEEEEEEERRRRRRRRRRRRRRRR WSG MAMAS I  MISSD U BRU FR ITS BEEN TOO LONG

Answer:

m =10

Step-by-step explanation:

Barry = m

S = m+5  since they are 5 years older

A = m-3  since they are 3 years younger

Add to get the total

m + (m+5) + (m-3) = 32

Combine like terms

3m +2 = 32

Subtract 2 from each side

3m+2-2 = 32-2

3m = 30

Divide by 3

3m/3 = 30/3

m =10

Answer:

90

Step-by-step explanation:

4x+22=-6x+192 since 4x+22 is the same as angle 5 due to parallel lines, and then 5 = -6x+192 as it is straight across.

4x+22=-6x+192

10x+22=192

10x=170

x=17

plug back in to equation

4(17)+22= 90

Answer:

∠3  =  90°

Step-by-step explanation:

∠4 = ( 4x + 22 )°                          [ Vertically opposite angles ]

∠4 = ( -6x + 192)°                         [ Corresponding angles ]

Therefore ,

4x + 22 = - 6x + 192

4x + 6x = 192 - 22

10x = 170

x = 17

∠4 = 4x + 22 = (4 × 17 ) + 22 = 90°

∠4 = 90°

∠3 + ∠4 = 180°                              

∠3 + 90° = 180°                              

∠3  = 180° - 90°                            

∠3  = 90°  

Answer:

how

Step-by-step explanation:

Answer:

none of these

Step-by-step explanation:

tan(7π/6)

tan(180*7/6)

tan(30*7)

tan(210)

tan(360-150)

-tan 150

-(-1/[tex]\sqrt{3[/tex])

1/[tex]\sqrt{3[/tex]

Step-by-step explanation:

[tex] \tan( \frac{7\pi}{6} ) \\ = \tan( \pi + \frac{\pi}{ 6} ) \\ = \tan( \frac{\pi}{6} ) [/tex]

as this angle lies in the third quadrant and tan x is positive in the third quad.

[tex] = \frac{1}{ \sqrt{3} } \\ as \: the \: value \: of \: \tan( \frac{\pi}{6} ) = \frac{1}{ \sqrt{3} } \\

\frac{1}{ \sqrt{3} } ×\frac{\sqrt{3}}{ \sqrt{3} }\\

= \frac{\sqrt{3} }{ 3 } [/tex]

option 4.

as when u multiply both the numerator and denominator by root 3 u get the desired result

[tex]\frac{2}{1}[/tex] ÷ [tex]\frac{1}{4}[/tex] is the same as [tex]\frac{2}{1}[/tex] × [tex]\frac{4}{1}[/tex]

[tex]\frac{2}{1}[/tex] × [tex]\frac{4}{1}[/tex] = [tex]\frac{8}{1}[/tex]

= 8

I hope this helps! :D