How is the surface area of any prism determined?

Answer: 3.4

Step-by-step explanation:

V=4/3•pi•(r)^3

164.636=4/3•pi•(r)^3

164.636/(4/3•pi)= 39.3…

39.3=(r)^3

*cubed root of both sides* r=3.399… so r=3.4

Answer:

Step-by-step explanation:

32

Answer:

n=26

Step-by-step explanation:

an=a+(n-1)d

80=5+(n-1)3

80=5+3n-3

80-2=3n

78/3=n

n=26

Answer:

A

Step-by-step explanation:

As they have the same slope they should be parallel so a is the answer

Answer:

Graph D (-1, -2)

Step-by-step explanation:

I graphed the two equations using a graphing tool.

When graphed, they pass at the point (-1,-2).

(-1, -2) is the solution.

It looks like that graph D has the lines passing at the same point.

Option D should be the correct answer.

Answer:

24.549 pounds

Step-by-step explanation:

Answer:

Step-by-step explanation:

22/7 * 21 = 66cm

65.9 cm

Step-by-step explanation:

The formula for the circumference of a circle is...

[tex]C=\pi d[/tex]

Since the problem asks to round to the nearest tenth, we know that we will convert pi to 3.14. We also know the diameter is 21, so we can put both of these in the formula.

[tex]C=3.14*21[/tex]

C = 65.940

Rounded to the nearest tenth...

C = 65.9 cm

Answer:

The electrician charges an initial fee of $42

The electrician charges $22 for every hour worked

Step-by-step explanation:

From the formula, y = 22x + 42, $42 is a one-time fee and $22 depends on the hours the electrician works.

The only phrases that are true are:

Answer:

The electrician charges an initial fee of $42

The electrician charges $22 for every hour worked

Step-by-step explanation:

Answer:3.5 and -3.5

Step-by-step explanation:

Because of the absolute value marks a negative will become positive. So 3.5 and |-3.5| are equal to 3.5

Answer: C. (4, 1)

Step-by-step explanation:

Answer:

There are 24 ways to select one book of each type.

Step-by-step explanation:

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

[tex]{n\choose k}=\frac{n!}{k!(n-k)!}[/tex]

It is provided that there are 6 different biographies and 4 different mystery novels on a bookshelf.

Compute the number of ways to select a biography as follows:

Number of ways to select a biography =

[tex]={6\choose 1}\\\\=\frac{6!}{1!(6-1)!}\\\\=\frac{6\times 5!}{1\times 5!}\\\\=6[/tex]

There are 6 ways to select a biography.

Compute the number of ways to select a mystery novel as follows:

Number of ways to select a mystery novel =

[tex]={4\choose 1}\\\\=\frac{4!}{1!(4-1)!}\\\\=\frac{4\times 3!}{1\times 3!}\\\\=4[/tex]

There are 4 ways to select a mystery novel.

Then the total number of way to select one book of each type is:

[tex]{6\choose 1}\times {4\choose 1}=6\times 4=24[/tex]

Thus, there are 24 ways to select one book of each type.

Answer: the car is cheeper 20 miles better

Step-by-step explanation:

Answer:

y-4=1/5(x-7)

Step-by-step explanation:

First, you need to find the slope of the line. From the point (2,3) to the point (7,4), the line rises 1 unit while moving sideways 5. Therefore, the slope of the line is 1/5. Hence, the equation of the line is y-4=1/5(x-7). Hope this helps!

Answer:

Step-by-step explanation:

The given function is

[tex]y=5x^{2} -20x+24[/tex]

Where [tex]a=5[/tex], [tex]b=-20[/tex] and [tex]c=24[/tex].

The vertex is at [tex](h,k)[/tex], which is defined as [tex]h=-\frac{b}{2a}[/tex] and [tex]k=f(h)[/tex]. So, replacing values, we have

[tex]h=-\frac{-20}{2(5)}=\frac{20}{10}=2[/tex]

Then, [tex]k=f(2)=5(2)^{2} -20(2)+24=5(4)-40+24=20-40+24=4[/tex]

So, the vertex is at [tex]V(2,4)[/tex].

Remember that the minium or maximum value of a quadratic function is defined by its vertex. In this case, it represents a minimum at (2,4).

Answer:

13) 6.25cm

Step-by-step explanation:

250% = 250/100 =2.5 times larger than before

multiply 2.5cm and 2.5 to get new size

2.5 x 2.5 = 6.25

Answer:

6.25 cm

Step-by-step explanation:

The original size is 2.5 cm

We increase it 250%

2.5 * 250%

Change to decimal form

2.5 * 2.50

6.25 cm

Answer:

option A, the pen cost less than $0.35

I hope this is helpful :)

Answer:

A

Step-by-step explanation:

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This question is not complete because it lacks the diagram of the Rectangular prism.

Answer:

Attached to this diagram is the necessary diagram

• A cross section parallel to the base is a rectangle measuring 15 inches by 8 inches.

• A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.

• A cross section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches.

Step-by-step explanation:

A right rectangular prism is a prism that is 3 dimensional in shape and it has 6 rectangular faces.

From the attached diagram, we can see that their is a cross section that is parallel to the base, it has breadth of 8 inches and breathe of 15inches, therefore the option

"• A cross section parallel to the base is a rectangle measuring 15 inches by 8 inches." is correct.

Secondly, when we look at the diagram and check the midpoints thought the 8 inches sides , the cross section perpendicular to the base is a rectangle that has a length of 6 inches and a breadth of 15 inches . Therefore the option

"• A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches." Is correct

Thirdly, by observing the attached diaiagram,

• A cross section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches is correct.

Answer:

The 96th term of the given AP is (-1048)

Step-by-step explanation:

We have, the given AP is :

-3, -14, -25....

First term is -3

Common difference is -14 - (-3)= -11

Let [tex]a_{96}[/tex] is the 96th term of the AP.

The nth term of the AP is given by :

[tex]a_n=a+(n-1)d[/tex]

Put all the values, such that,

[tex]a_{96}=(-3)+(96-1)\times (-11)\\\\a_{96}=-1048[/tex]

So, the 96th term of the given AP is (-1048).

Answer: D

Step-by-step explanation:

a^2 +b^2 = c^2

[tex]3\sqrt{2}^2[/tex]= 18

3\sqrt{2}^2= 18

18 + 18 = 36

The square root of 36 is 6

Answer:

D no is correct ans

Step-by-step explanation:

using pythagoras thoerem h^2=p^2+b^2

and put the value P=3root 2 and b =3root2 and take out h

It’s 1,860,480

Just trust me lol.

Answer:

c and d

Step-by-step explanation:

4/8 = 1/2

a.1/2 =1/2 so it is not greater

b.1/4  <  1/2 = 2/4  so 4/8 is greater

c.7/8   > 4/8  so 7/8 is greater

d.3/5     3/5 = 6/10    1/2 = 5/10

                     3/5 >     4/8

Answer: 7/8 and 3/5

Step-by-step explanation:

First, let’s look at 4/8 and 1/2. They have different denominations so let’s change them. 2 and 8’s closest multiple that they share is 8. 8/8=1, so we have to multiply the numerator and denominator by 1 which doesn’t change the fraction. 8/2=4, so we have to multiply the numerator and denominator by 4 which makes it: 4/8. 4/8 and 4/8 are the same so they are equal.

Next, let’s look at 4/8 and 1/4. They have different denominations so let’s change them. 4 and 8’s closest multiple that they share is 8. 8/8=1, so we have to multiply the numerator and denominator by 1 which doesn’t change the fraction. 8/4=2, so we have to multiply the numerator and denominator by 2 which makes it: 2/8. 4/8 is greater than 2/8 so this would be a wrong answer.

Then, let’s look at 4/8 and 7/8. They have the same denominations so we don’t have to change them. Let’s look at the numerators though: 4 and 7. 7 is greater than 4 so this answer would be correct.

Finally, let’s look at 4/8 and 3/5. They have different denominations so let’s change them. 5 and 8’s closest multiple that they share is 40. 40/8=5, so we have to multiply the numerator and denominator by 5 which makes it 20/40. 40/5=8, so we have to multiply the numerator and denominator by 8 which makes it: 24/40. 24/40 is greater than 20/40, so this answer is correct.

Hope this helps!

Answer:

540 degrees

Step-by-step explanation:

i think

Answer:

38 kg

above is the answer

Answer:

A

Step-by-step explanation:

TX=XZ=ZU=3

XU=XZ+ZU=3+3=6

Answer:

D. 3

Step-by-step explanation:

Answer:

Door 2

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

door 2

Answer:

Step-by-step explanation:

The Venn diagram representing the situation is shown in the attached photo.

G represents the set of people that use the gym.

P represents the set of people that use the swimming pool.

T represents the set of people that use the track.

Since 1 person uses the 3 facilities, it means that

Number of persons that use gym and pool only is 15 - 1 = 14

Number of persons that use pool and track only is 14 - 1 = 13

Number of persons that use gym and track only is 10 - 1 = 9

Number of persons that use gym only is

65 - (14 + 1 + 9) = 41

Number of persons that use pool only is

51 - (14 + 1 + 13) = 23

Number of persons that use track only is

44 - (9 + 1 + 13) = 21

N represents the number of people that use none of the facilities. Since there are 130 people in a sports centre, it means that

41 + 23 + 21 + 9 + 14 + 13 + 1 + N = 130

122 + N = 130

N = 130 - 122

N = 8

Therefore, the probability that a person doesn't use any facilities is

8/130 = 0.062

 [tex]\frac{4}{65}[/tex] is the required probability.

A set is an unorganized well-defined collection of similar types of objects.

Eg : {1,2,3,4,5} or {Science, Maths, English}

Given:-

Total people (n) = 130

People using gym (G) = 65

People using swimming pool (P) = 51

People using track (T)  = 44

(Gym U pool) = 15

(pool U track) = 14

(Gym U track) = 10

(Gym U track U pool) = 1

Using venn diagram :

Total participating people are 41 + 23 + 21 + 14 + 9 + 13 + 1 = 122

since total people are 130, non participants are 130 - 122 = 8

Probability of an event = [tex]\frac{favourable}{total}[/tex] = [tex]\frac{8}{130} = \frac{4}{65}[/tex]

Thus, the probability that a random person doesn't uses any facility is [tex]\frac{4}{65}[/tex]

To know more about Sets visit:

https://brainly.com/question/13458417

#SPJ2

Answer:

6.9

Step-by-step explanation:

Answer:

6.9

You have to convert it into a improper fraction,like 69/10 divide that and the decimal version will be 6.9. So just like put the 6 with the numerator(9) and make that new number divide the denominator (10).

Answer:

acute triangle.

Step-by-step explanation:

an acute triangle  has all its angle less than 90°

Answer:

u = 2

Step-by-step explanation:

13 = 11+u

Subtract 11 from each side

13-11 = 11+u-11

2 = u

Answer:

u=2

Step-by-step explanation:

Given: 13=11+u

Subtract 11 from both sides: 13-11=11-11+u

2=u or u=2

Please can I have brainliest?