Which statement is true? I am giving a lot of points away for this so please provide the correct answer and an explanation.

Answer:

a) distributive property

b) combining like terms

c) commutative property of addition

Answer:

Length will be 173

Step-by-step explanation:

Answer:

[tex](a)\ Area = 195\pi[/tex]

[tex](b)\ Volume = 700\pi[/tex]

Step-by-step explanation:

Given

[tex]h = 12[/tex]

[tex]d_1 = 10[/tex] --- lower diameter

[tex]d_2 = 20[/tex] --- upper diameter

Solving (a): The curved surface area

This is calculated as:

[tex]Area = \pi l(r_1 + r_2)[/tex]

Where

[tex]r_1 = 0.5 * d_1 = 0.5 * 10 = 5[/tex] --- lower radius

[tex]r_2 = 0.5 * d_2 = 0.5 * 20 = 10[/tex] --- upper radius

And

[tex]l = \sqrt{h^2 + (r_1 - r_2)^2[/tex] ---- l represents the slant height of the frustrum

[tex]l = \sqrt{12^2 + (5 - 10)^2[/tex]

[tex]l = \sqrt{12^2 + (-5)^2[/tex]

[tex]l = \sqrt{144 + 25[/tex]

[tex]l = \sqrt{169[/tex]

[tex]l = 13[/tex]

So, we have:

[tex]Area = \pi l(r_1 + r_2)[/tex]

[tex]Area = \pi * 13(5 + 10)[/tex]

[tex]Area = \pi * 13(15)[/tex]

[tex]Area = 195\pi[/tex]

Solving (b): The volume

This is calculated as:

[tex]Volume = \frac{1}{3}\pi * h * (r_1^2 + r_2^2 + (r_1 * r_2))[/tex]

This gives:

[tex]Volume = \frac{1}{3}\pi * 12 * (5^2 + 10^2 + (5 * 10))[/tex]

[tex]Volume = \frac{1}{3}\pi * 12 * (25 + 100 + (50))[/tex]

[tex]Volume = \frac{1}{3}\pi * 12 * (175)[/tex]

[tex]Volume = \pi *4 * 175[/tex]

[tex]Volume = 700\pi[/tex]

Answer:

4:25

Step-by-step explanation:

Given that,

r₁ = 15 inches, r₂ = 6 inches

The area of the cylinder is given by :

[tex]A=2\pi rh+2\pi r^2[/tex]

The ratio of surface areas of two cylinders,

[tex]\dfrac{S_2}{S_1}=\dfrac{2\pi r_2h_2+2\pi r_2^2}{2\pi r_1h_1+2\pi r_1^2}\\\\\dfrac{S_2}{S_1}=(\dfrac{r_2}{r_1})^2\\\\=\dfrac{6}{15}^2\\\\=\dfrac{4}{25}[/tex]

Hence, the required ratio is 4:25.

Answer:

x = 20

y = 30

Step-by-step explanation:

Answer:

x = 20

y = 30

Step-by-step explanation:

y = 3x - 30

2x + 2y = 100

2x + 2(3x - 30) = 100

2x + 6x - 60 = 100

8x - 60 = 100

8x = 160

x = 20

y = 3(20) - 30

y = 60 - 30

y = 30

Answer:

15/91

Step-by-step explanation:

P(G,G) = 6/14 x 5/13 = 15/91

Answer:

c and d

Step-by-step explanation:

I think this is it sorry if wrong but i tryed really hard i am not good at math dont take this down pls.

Answer:

y = -5x + 3.

Step-by-step explanation:

We can find the point of intersection by solving the system:

y = 2x + 3  ....  1

x + y = 3   ......  2          from this:

y = 3 - x   ....... .3

Equating equations 1 and 3:

2x + 3 = 3 - x

3x = 0

x = 0 so y = 2(0) + 3 = 3.

So the point of intersection is (0, 3).

So the required equation has slope -5 and passes through (0, 3) and,  using the point-slope form of a straight line, we have:

y - 3 = -5(x - 0)

y - 3 = -5x

y = -5x + 3.

Answer:

82 Cups

Step-by-step explanation:

Step-by-step explanation:

2y=a

y=a/2

putting value of y

y=3x+12

Answer:

Bag B which is $150 for one orange

Step-by-step explanation:

In ,bag A 12 oranges cost 2400

The price of one orange in bag A is

= 2400/12

= $200

In bag B 20 oranges cost $3000

The cost of one orange in bag B is

= 3000/20

= $150

Hence the better buy is bag B which goes for $150 for one orange

Answer:

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Answer:

0.315 times

Step-by-step explanation:

156÷495 ≈ 0.315

Have a good day :)

Answer:

[tex]\frac{14}{30} = 7/15[/tex]

The probability that a randomly selected student has a brother given they have a sister is 11/30.

We have given that,

Of 30 students in a class, 17 have a brother, 20 have a sister, and 11 have a brother and a sister.

The Probability of an event is the ratio of the number of favorable events divided by the total number of outcome in the sample space.

Since there are 30 students in total, and 11 of them have both a brother and a sister,

Then 11/30 (11 out of the 30 students) would be the probability of a student having a brother given that they have a sister.

To learn more about the probability visit:

https://brainly.com/question/24756209

#SPJ2

Answer:

Triangle A and B

Step-by-step explanation:

Both triangles have two same angles.

If Triangle A is rotated like Triangle B, they would be the same.

Vice versa, if Triangle B is rotated like Triangle A, it would be the same.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

The probability is 3/10

Step-by-step explanation:

So a quarter is the only coin that’s worth more than 10¢ so 6/20 = 3/10

Answer:

The answer is "H [93%, 100%]"

Step-by-step explanation:

I'll edit this in a second to show the process, but it may take a minute. Just have the answer for now.

This is a surprisingly useful question hah, I'll bet many will need to do this.

This question is just finding the average. Pretty simple.

y = 86 + 82 + 91 + 98 + x / 5

y = 357 + x / 5

An easy way is to do the lowest question first, then go from lowest to second lowest and so on. Because if you go to the highest one and the answer is one of the lower ones, well, of course it's going to be within the 90-100 range, but that doesn't necessarily mean it's the answer.

y = 357 + (87) / 5

y = 444 / 5

y = 88.8

Okay, so the answer isn't G. Then let's try H.

y = 357 + (93) / 5

y = 450 / 5

y = 90

Yep, the answer is H. This is because it equals 90, which is indicative of the 90-100% range that Latoya needs to get an "A".

Answer:

40

Step-by-step explanation:

52= 1/2(64 + x)

52 = 32 + 0.5x

52-32= 32-32 + .5x

20=.5x

Divide both sides by .5x

X = 40.

9514 1404 393

Answer:

  D.  14

Step-by-step explanation:

Point G divides each median into parts that have the ratio ...

  short : long = 1 : 2

Then ...

  GD : GC = 1 : 2 = 7 : 14 . . . . . . . . multiply the ratio by 7

GC = 14

Answer:

using pythagoras theorem

a^2+b^2=c^2

8^2+x^2=(x+2)^2

64+x^2=x^2+2*x*2+2^2

64+x^2=x^2+4x+4(here x^2 of left hand side and x^2 of right hand side gets cancel)

64=4x+4

64-4=4x

60/4=x

15=x

Step-by-step explanation:

9514 1404 393

Answer:

  $735

Step-by-step explanation:

We assume the cover needs to cover the pool only, not any extra area around the pool.

The cost is given per square foot, so to find the total cost, we need to know how many square feet the cover must cover. The cost will be found by multiplying the cost per square foot by the number of square feet.*

The dimensions of the pool are given as 35 ft by 70 ft. The pool area is the product of these dimensions.

  A = LW

  A = (70 ft)(35 ft) = 2450 ft²

Then the cost is ...

  C = ($0.30/ft²)(2450 ft²) = $735

The cost to buy a pool cover is $735.

__

* This is the same rule you use for any purchase. The total cost is the cost per item multiplied by the number of items. Here, each "item" is 1 square foot of pool cover.

Answer:

Radius = 17.

Step-by-step explanation:

If(h,k) is centre and rradius, the eqn. of circle is :(−x h)2+(y−k)2=r2

Comparing with the given eqn. of circle, we find, r2=289 Hence, radius  is 17

Answer:

B.) -9

Step-by-step explanation:

The value of b if 3/2 is the axis of symmetry for the graph of the function f(x)=3x2+bx+4 is -9

The standard equation of a function in vertex form is given as:

f(x) = (a + x)^2 + h

Given the function f(x)=3x^2+bx+4 with an axis of symmetry of 3/2, the vertex is expressed as:

3/2= -b/2a

-b/2(3)=3/2

-b/6=3/2

Cross multiply

-2b = 18

-b=9

Hence the value of b if 3/2 is the axis of symmetry for the graph of the function f(x)=3x2+bx+4 is -9

Learn more on axis of symmetry here: https://brainly.com/question/21191648

Answer: [tex]3\times \dfrac{P}{3}=P[/tex]

Step-by-step explanation:

Given

The perimeter of one equilateral triangle is P

The lengths of the equilateral triangle are equal

Suppose x is the length of each side

[tex]\therefore 3\times x=P\\\\\Rightarrow x=\dfrac{P}{3}[/tex]

i.e.

[tex]\Rightarrow 3\times \dfrac{P}{3}=P[/tex]

Answer:

y = -2/3x - 5

Step-by-step explanation:

Answer:

the answer is 456,976,000

Answer:

⬇️ i got it right

Answer:

simple - 1/21 chance

Step-by-step explanation:

since its asking for the probability of "a" marble, and not all the green marbles, you add everything up and slap what outcome (1 in this case) on top of the 21

here is cat

Answer:

3 is for green marbles

21 is the total of all marbles

Step-by-step explanation:

you only have 1 event so I think we don't need some formula or something

the formula is this if the event A and B has no intersection P( A U B)= P(A)+P(B)

and if it has intersection, the formula is like this P( A ∩ B)=P(A)+P(B)-P( A ∩ B)

Answer:

z will be11

11z = 121

z = 121/11

z= 11

Answer:

1=121= 11

Step-by-step explanation: