A right rectangular prism with square bases has a height of 20 centimeters and a volume of 800 cubic centimeters. Which statements describe the prism? Select three options. The prism is a cube. The diagonal of the base is 4StartRoot 5 EndRoot centimeters. The length of a side of the base is 20 centimeters. The area of a base is 40 square centimeters. The area of a lateral side between the bases is about 126.5 square centimeters.

Answer:

Step-by-step explanation:

1,5,11,19,29

the series of numbers :

A 2-A 1 = 5–1=4

A 3-A 2 = 11–5=6

A 4-A 3 =19–11=8   the third term is 8

A 5-A 4= 29-19= 10  the forth term is 10  

nth term  is 4+(n-1)2.

Answer:

The question is asking to complete the passage about the sum of angle of the exterior angles of an n-gon, one at each vertex, and i would say that it should be 360 degree.

Step-by-step explanation:

Answer:

quotient  x² - 2x + 5

remainder  (-12x+5)

Step-by-step explanation:

                    x²      -2x       +5

x² + 2x - 1  | x^4   + 0*x³  + 0*x² + 0x + 0

                 |-(x^4  +  2x³   -   x²)

                            - 2x³    +x²     + 0x

                          -(-2x³   - 4x²   + 2x)

                                         5x²   - 2x + 0

                                     -(  5x²  +10x -5)

                                                  -12x + 5

x² - 2x + 5 + (-12x + 5)/(x² + 2x - 1)

The Quotient  is [tex]x^{2} -2x+5[/tex] and The remainder is  -12x +5

How to Solve this Problem?

This problem can be solved by following steps

Learn More about Quotient and remainder here

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Answer:

About 0.66 or in fraction form 2/3

Step-by-step explanation:

You divide 3.9 by 5.9

Answer:

39/59

Step-by-step explanation:

3.9 / 5.9

Multiply the top and bottom by 10 to clear the decimals

3.9*10 / 5.9 * 10

39/59

Since 59 is prime, this is the simplest form

Answer:

3 x 3 =9

Step-by-step explanation:

9

Answer: x

Step-by-step explanation: When dividing 3x by 3, the 3's will cancel each other out simply leaving us with our variable, x.

Answer:

113 moteis

Step-by-step explanation:

A = 7 x 4 = 28 yards^2

1 yard - 0,9 m

1 yard^2 - 0,81 m^2

28 yards^2 - A

A = 28 x 0,81 = 22,68m^2

22,68 x 5 = 113,4

113 moteis

Answer:

140

Step-by-step explanation:

because it is

Answer:

(x - 4)^2 + 4

Step-by-step explanation:

  x^2 - 8x + 20

= x^2 - 2*4*x + 16 + 4

= x^2 - 2*4*x + 4^2 + 4

= (x - 4)^2 + 4

= (x - a)^2 + a, with a = 4

Hope this helps!

Answer:

n = -1

Step-by-step explanation:

→The fraction [tex]\frac{n}{5}[/tex] is really just [tex]\frac{1}{5}n[/tex]:

[tex]\frac{1}{5}n = \frac{-1}{5}[/tex]

→To get n by itself, you must multiply both sides by the reciprocal of [tex]\frac{1}{5}[/tex], which is 5:

5 · [tex]\frac{1}{5}n = \frac{-1}{5}[/tex] · 5

n = -1

Answer:

$22.5

Step-by-step explanation:

Jim gets 9*2.5= $22.5

$50/20=2.5

2.5*4=10

2.5*7=17.5

2.5*9=22.5

Jim gets $22.50

Answer:

[tex]x=-3,4[/tex]

Step-by-step explanation:

Factorise in order to reveal factors.

[tex]x^2-x-12=0\\(x-4)(x+3)=0[/tex]

Answer:

The probability that a customer buys a taco, a drink, or both is 45%.

Step-by-step explanation:

apeeex

P(A or B) = 0.45 mean in terms of this problem will be the probability that a customer buys a taco, a drink, or both is 45%. Then the correct option is A.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

The value of the probability of an event must lie between the interval of [0, 1].

A food truck sells tacos, burritos, and drinks.

Let event A = A customer buys a taco.

Let event B = A customer buys a drink

P(A or B) = 0.45 mean in terms of this problem will be the probability that a customer buys a taco, a drink, or both is 45%. Then the correct option is A.

More about the probability link is given below.

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Answer:

x =8.34654305

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adjacent / hypotenuse

cos 33 = 7/x

Switching places with the x and the 33

x = 7/ cos 33

x =8.34654305

Answer:

↓ Look below ↓

Step-by-step explanation:

You are given the adjacent side and need to find the hypotenuse. You can use cos to figure this out.

[tex]cos33 = \frac{7}{x}[/tex]

→To get rid of the x in the denominator, multiply everything by x:

[tex]x(cos33 = \frac{7}{x})[/tex]

[tex]xcos33 = 7[/tex]

→Divide both sides by cos33:

x = 8.346

→If it is round to nearest tenth:

x = 8.3

→If it is round to nearest hundredth:

x = 8.35

Answer:

1. Subtract 2 from both sides.

2. Multiply both sides by 2.

3. Take the square root of both sides.

4. Subtract 5 from both sides.

Answer:

Subtract 2 from both sides

Multiply both sides by 2

Take the square root of both sides

Subtract 5 from both sides

Step-by-step explanation:

Please refer to the picture attached.

Answer:hello

Because negative can't go under the radical 2

For example we can't find two number that multiplication of them be negative. 2×2=4,-2×-2=4.

I'll hope that l explane for you weel

Step-by-step explanation:

Answer:

Multiply 20 x 0.75 = 15

Step-by-step explanation:

Answer:[tex]c=60+0.05d[/tex]

Step-by-step explanation:

Given

Company charges [tex]\$60[/tex]  for  [tex]1\ GB[/tex] data

and charges [tex]\$0.05/MB[/tex]

If c is the total cost and d represent no of additional megabyte then

Cost is given by the sum of fixed price + additional data charge

[tex]c=60+0.05\times d[/tex]

Therefore final charge is given by

[tex]c=60+0.05d[/tex]

Answer: The equation that represents the graph is y=4x.

Step-by-step explanation: If you plug in just one coordinate in each equation, you will find that these are the following outcomes no matter which coordinate you pick(but I'm picking (2,8) for your view):

y=x   ,    8=2

y=x   ,    8=2

y=2x    ,     8=4

y=4x   ,   8=8(ONLY CORRECT STATEMENT)

Answer:

y= 4x

Step-by-step explanation:

Answer:

The total length of the fox is 30 3/5 inches

Step-by-step explanation:

Here, we are interested in calculating the total length of a fox, given the length of its head and body and also the length of its tail.

Mathematically, the total length of the fox = length of its head and body + length of its tail

length of the head and body = 19 4/5

length of its tail = 10 4/5

Plugging these values into the equation, we have;

19 4/5 + 10 4/5

99/5 + 54/5 = (99 + 54)/5 = 153/5 = 30 3/5 inches

Answer:

hundreth's place

Step-by-step explanation:

see attached for explanation

Answer:

No because it doesn't show the angle?

Step-by-step explanation:

Answer:

Step-by-step explanation:

that is 55/22 = 2.5 hrs

Answer: .two and a half hours.

Step-by-step explanation:

22/1 = 55/x

22x=55

X=2.5

Answer:

1. sin P = 20/29

cos P = 21/29

tan P = 20/21

sin Q = 21/29

cos Q = 20/29

tan Q = 21/20

2. We can notice that the sin and cos of P vs Q are switched and the tan's are a reciprocal of each other

Step-by-step explanation:

For Part 1

With knowledge of SOH CAH TOA

Sin = Opp/Hyp

Cos = Adj/Hyp

Tan = Opp/Adj

So:

sin P = 20/29

cos P = 21/29

tan P = 20/21

sin Q = 21/29

cos Q = 20/29

tan Q = 21/20

For Part 2

We can notice that the sin and cos of P vs Q are switched and the tan's are a reciprocal of each other

Answer:

x - y = 0

Step-by-step explanation:

The given line is y = x.

We could re-write this as x - y = 0, which is in general form.

Answer:

336

Step-by-step explanation:

To define whether we use permutations or combinations we must define whether or not the order in which we arrange the results matters. If the order matters we use permutations and if the order doesn't matter we use combinations.

In this case, since we are talking about the first places in a competition, order definitely does matter, so we use permutations. Also in permutations it must be indicated if repetition is allowed, in this case not because the same person cannot be in more than one place.

We use the following formula:

[tex]P=\frac{n!}{(n-r)!}[/tex]

where in this case n is the numer of swimmers and r is the number of places we are considering (1st 2nd and 3rd), which is 3 places.

n = 8

and

r = 3

thus the number of permutations is given bt:

[tex]P=\frac{8!}{(8-3)!}\\ \\P=\frac{8!}{5!} \\\\P=\frac{8*7*6*5*4*3*2*1}{5*4*3*2*1}\\ \\P=8*7*6\\P=336[/tex]

the answer is that there are 336 ways in which the swimmers can finish in first second and third place

Answer:

The last one is the answer

Step-by-step explanation:

Answer:

26 ft

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

10^2+24^2 = c^2

100 +576 = c^2

676 = c^2

Take the square root of each side

sqrt(676) = sqrt(c^2)

26 = c

Answer:

26 ft

Step-by-step explanation:

Pythagoras theorem

a^2+b^2=c^2

10^2+24^2=676

square root of 676= 26

Answer:

1)The probability that the ball drawn is not red is 6 /14

2)Probability of getting either a prime or a multiple of 3 is 7/10

3)Probability of  drawing three balls without replacement such that all three are Same colour  is 0.0747

Probability of drawing three balls without replacement such that all three are different colour is 0.5

Step-by-step explanation:

1) A ball is drawn randomly from a bag containing 8 red, 4 blue and 2 green identical balls. Find the probability that the ball drawn is not red.

No. of red balls = 8

No. of blue balls = 4

No. of green balls = 2

Total no. of balls = 8+4+2=14

P(Getting red bal)=[tex]\frac{8}{14}[/tex]

P( ball drawn is not red) = [tex]1 - \frac{8}{14}=\frac{6}{14}[/tex]

So,the probability that the ball drawn is not red is 6 /14

2)What is the probability that a number chosen at random from the integers between 1 and 10 inclusive is either a prime or a multiple of 3?

Numbers : 1 ,2,3,4,5,6,7,8,9,10

Prime numbers: 2,3,5,7 = 4

Multiple of 3 = 3,6,9 =3

So, Probability of getting prime number =[tex]\frac{4}{10}[/tex]

Probability of getting multiple of 3 =[tex]\frac{3}{10}[/tex]

So, Probability of getting either a prime or a multiple of 3=[tex]\frac{4}{10}+\frac{3}{10}=\frac{7}{10}[/tex]

Hence  Probability of getting either a prime or a multiple of 3 is 7/10

3)A bag contains four red balls, five blue balls and six green balls. Three balls are drawn from the bag at random without replacement. What is the probability that all three are:

The same colour

Different colour

No. of red balls = 4

No. of blue balls = 5

No. of green balls = 6

Total balls = 15

Case 1 :all three are Same colour

So, probability of  drawing three balls without replacement such that all three are Same colour = [tex]\frac{4}{15} \times \frac{3}{14} \times \frac{2}{13}+\frac{5}{15} \times \frac{4}{14} \times \frac{3}{13}+\frac{6}{15} \times \frac{5}{14} \times \frac{4}{13}=0.0747[/tex]

So, probability of drawing three balls without replacement such that all three are different colour =[tex]\frac{4}{10} \times \frac{5}{9} \times \frac{6}{8}+\frac{5}{10} \times \frac{4}{9} \times \frac{6}{8}+\frac{6}{10} \times \frac{5}{9} \times \frac{4}{8}=0.5[/tex]

So,probability of  drawing three balls without replacement such that all three are Same colour  is 0.0747

So,probability of drawing three balls without replacement such that all three are different colour is 0.5

Answer: A

Step-by-step explanation:

it intercepts y at -3 and you can find slope using rise/run