What is the distance between point P and point R?

Answer:

Length=15cm

Hope this answer is right!!

Step-by-step explanation:

Length be 3 cm longer than the breadth.

So, x=y+3

Perimeter = 2(x+y)54

So, x+y=27 =>x=15

x-y=3 =>x=12

So, length is 15 cm

Answer:

0

Step-by-step explanation:

Answer:

this is the answer

Step-by-step explanation:

20:15=20/15=4/3=n

Hence, 1:n=3:4

Given:

A figure of combination of hemisphere, cylinder and cone.

Radius of hemisphere, cylinder and cone = 6 units.

Height of cylinder = 12 units

Slant height of cone = 10 units.

To find:

The volume of the given figure.

Solution:

Volume of hemisphere is:

[tex]V_1=\dfrac{2}{3}\pi r^3[/tex]

Where, r is the radius of the hemisphere.

[tex]V_1=\dfrac{2}{3}(3.14)(6)^3[/tex]

[tex]V_1=\dfrac{6.28}{3}(216)[/tex]

[tex]V_1=452.16[/tex]

Volume of cylinder is:

[tex]V_2=\pi r^2h[/tex]

Where, r is the radius of the cylinder and h is the height of the cylinder.

[tex]V_2=(3.14)(6)^2(12)[/tex]

[tex]V_2=(3.14)(36)(12)[/tex]

[tex]V_2=1356.48[/tex]

We know that,

[tex]l^2=r^2+h^2[/tex]                               [Pythagoras theorem]

Where, l is length, r is the radius and h is the height of the cone.

[tex](10)^2=(6)^2+h^2[/tex]

[tex]100-36=h^2[/tex]

[tex]\sqrt{64}=h[/tex]

[tex]8=h[/tex]

Volume of cone is:

[tex]V_3=\dfrac{1}{3}\pi r^2h[/tex]

Where, r is the radius of the cone and h is the height of the cone.

[tex]V_3=\dfrac{1}{3}(3.14)(6)^2(8)[/tex]

[tex]V_3=\dfrac{25.12}{3}(36)[/tex]

[tex]V_3=301.44[/tex]

Now, the volume of the combined figure is:

[tex]V=V_1+V_2+V_3[/tex]

[tex]V=452.16+1356.48+301.44[/tex]

[tex]V=2110.08[/tex]

Therefore, the volume of the given figure is 2110.08 cubic units.

Answer:

[tex] 365.97\: cm^2[/tex]

Step-by-step explanation:

Area of the shape = Area of triangle with base 22 cm and height 16 cm + Area of semicircle with radius (22/2 = 11) 11 cm

[tex] = \frac{1}{2}bh + \frac{1}{2} \pi {r}^{2} \\ \\ = \frac{1}{2} \times 22 \times 16 + \frac{1}{2} \times \times 3.14 {(11)}^{2} \\ \\ = 11 \times 16 + 3.14 \times 60.5 \\ \\ = 176 + 189.97 \\ \\ = 365.97 \: {cm}^{2} [/tex]

Step-by-step explanation:

The radius would be 11 which is half of the width and the height is 16.

A= πr(r+√h²+r²)

A= π•11•(11+√16²+11²)

A≈ 1051.11836

Answer:

D. 120

Step-by-step explanation:

Answer:

120

5*24=120

5*20=100

5*16=80

Answer:

There are:

i. Two blacks

ii. The first is black

or, alternatively

iii. Both are of same colour

i. Two blacks

ii. The first is black

or alternatively

iii. Both are of same colour

Answer: -40 or negative forty

Step-by-step explanation:

Answer:

You need to look at the graph and find an ordered pair.  Once you find an ordered pair divide the x value by the y value to get the unit rate.

Step-by-step explanation:

Answer:245

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

2x^2 + 8x + 8

factor the 2 out : 2(x^2 + 4x + 4)

2(x + 2)^2

x = -2

Susan = x

Gina = 3x

Sum of their ages = 12

Susan's age = ?

We can see that,

[tex]2x=10

x = \frac{10}{2}x=

2

10

x = 5x=5[/tex]

Susan is 3 years old.

Answer:

Turkeys with an internal temperature of less than 165° F are undercooked.

Answer:

8.66  =  9

Step-by-step explanation:

The square root of 75 is approximately equal to 8.66 but if rounded 9

16 hours 6 minutes

See the image above

Answer:

x > 0

Step-by-step explanation:

The domain of the graph are all the possible values of x. Since the graph never touches the negative part of the graph, x will always be greater than 0. Thus, x > 0 meaning x will be greater (not equal to) 0.

Answer:

I guess 400g good for your diet. and health

Answer:

I think the answer is 5 hope it helps

Answer:

c

Step-by-step explanation:

[tex]\boxed{x\:=\:-8 }[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}[/tex]

[tex]5x + 6 = 3x - 10[/tex]

[tex]➺ \: 5x - 3x = - 10 - 6[/tex]

[tex]➺ \: 2x = - 16[/tex]

[tex]➺ \: x = \frac{ - 16}{2} [/tex]

[tex]➺ \: x = - 8[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

[tex]5x + 6 = 3x - 10[/tex]

[tex]➼ \: 5 \times ( - 8 )+ 6 = 3 \times ( - 8) - 10[/tex]

[tex]➼ \: - 40 + 6 = - 24 - 10[/tex]

[tex]➼ \: - 34 = - 34[/tex]

[tex]➼ \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]

Answer:

-8

Step-by-step explanation:

5x + 6 = 3x − 10

Subtract 3x from both sides:

5x + 6 - 3x = 3x - 10 - 3x

2x + 6 = -10

Subtract from 6 both sides:

2x + 6 - 6 = -10 - 6

2x = -16

Divide both sides by 2:

2x         -16

____ = ____

  2           2

      -16

x = ____   (divide)

        2

final answer: x = -8

Answer:

x=0.66+1.88i

x=0.66-1.88i

Step-by-step explanation:

Given

3[tex]x^{2}[/tex]-4x+12=0

using the Quadratic Formula where

a = 3, b = -4, and c = 12

[tex]x=-b[/tex]±[tex]\sqrt{b^{2}-4ac } /2a\\[/tex]

x=-(-4)±[tex]\sqrt{(-4)^{2}-4(3)(12) } /2(3)[/tex]

x=4±[tex]\sqrt{16-144} /6[/tex]

x=-4±[tex]\sqrt{128} /6[/tex]

[tex]b^{2} -4ac<0\\[/tex]

x=-4±[tex]8\sqrt{2} i[/tex]/6

[tex]x=\frac{2}{3}[/tex]± [tex]\frac{4\sqrt{2}i }{3}[/tex]

Which becomes,

x=0.66+1.88i

x=0.66-1.88i

The value of x will be x=0.66+1.88i

x=0.66-1.88i

Answer:

1

Step-by-step explanation:

that's a very vague question

Answer:

A. (3,3)

Step-by-step explanation:

Please click on the above picture and view the full answer.

Step-by-step explanation:

Hope it helps you.^_^

Answer:

1. members = $ 160 , non members = $ 80

2. members = $ 168 , non members = $ 120

Step-by-step explanation:

For members

Annual membership = $ 144

rent per visit charges = $ 4

For Non members

parking charges = $ 5

admission charges = $ 11

rent per visit = $ 4

(1) for 4 visits

Members pay = $ 144 + 4 x $ 4 = $ 160

Non members pay = 4 x $ 11 + 4 x $ 5 + 4 x $ 4 = $ 80

So, non member ship is better.    

(2) for 6 visits

Members pay = $ 144 + 6 x $ 4 = $ 168

Non members pay = 6 x $ 11 + 6 x $ 5 + 6 x $ 4 = $ 120

So, non member ship is better.    

Answer:

1. [tex]3x(x+2)[/tex]

Step-by-step explanation:

1: Find the GCF (Greatest Common Factor) of the polynomial

Answer: 3x

Then use it to factor out 3x^2 + 6x

3x(x + 2)

Answer:

H.C.F = 15

Step-by-step explanation:

60 = 2 × 2 × 3 × 5

75 = 3 × 5 × 5

90 = 2 × 3 × 3 × 5

HCF = 3 × 5 = 15