The Figure below shows a rectangular prism and a cube:
How many such cubes are required to completely pack the prism without any gap or overlap?

A. 288
B. 576
C. 1,152
D. 1,636

Answer:

3 lunches

Step-by-step explanation:

Answer:

About 4.5

Step-by-step explanation:

Since the full base has length 8, half of it must have length 4. Now, using the Pythagorean theorem, you can find x:

[tex]x=\sqrt{6^2-4^2}=\sqrt{36-16}=\sqrt{20}\approx 4.5[/tex] or answer choice D

Hope this helps!

Answer:the answer is 4

Step-by-step explanation:

Answer:

Central Angle OPQ = Arc OQ = 82°

5x - 3 = 82°

5x = 85°

x = 17 degrees

Step-by-step explanation:

Answer:

x = -6

Step-by-step explanation:

to solve this you can just add 7 to both sides of the equation.

x -+7 = -13

  +7      +7

x = -6

this works because since it puts the x by itself, the other side of the equation is then equal to x and typically in equations with variables you solve for the variables.

hope it helps!

Answer:

leg 1= 36  feet

leg2 = 15  feet

Step-by-step explanation:

Hi, we have to apply the Pythagorean Theorem:  

c^2 = a^2 + b^2  

Where c is the hypotenuse of the triangle (in this case the distance between Doreen’s house and the tower) and a and b are the other legs.  

leg1 = x

leg2 = x-21 (21 feet less than the other leg)

Replacing with the values given:  

39^2 = x^2 + (x-21)^2  

1,521 = x^2 + x^2 -42x +441

0 = 2x^2 -42x +441-1,521

0= 2x^2 -42x -1,080

For: ax2+ bx + c  

x =[ -b ± √b²-4ac] /2a  (quadratic formula)

Replacing with the values given:  

x=-(-42)± √(-42)²-4(2)-1080] /2(2)  

x= 42± √10,404] /4

x = 42± 102 /4

Positive:

x = 42+102 /4 = 36

leg 1= 36

leg2 = 36-21 =15

Feel free to ask for more if needed or if you did not understand something.  

The length of shorter leg is 15 feet and other leg is 36 feet.

Let us consider that, length of shorter leg is x feet.

So that, length of other leg is [tex](x+21)[/tex] feet.

It is given that, the hypotenuse is 39 feet.

Apply Pythagoras theorem,

                 [tex]x^{2} +(x+21)^{2} =(39)^{2}\\ \\x^{2} +x^{2} +441+42x=1521\\\\2x^{2} +42x-1080=0\\\\x=15 ,-36[/tex]

Since, side can not be negative.

So that, we have to consider x=15 feet.

Length of other leg[tex]=x+21=15+21=36feet[/tex]

Learn more about the Pythagoras theorem here:

https://brainly.com/question/343682

Answer:

(4, - 4 )

Step-by-step explanation:

Since the dilatation is centred at the origin, multiply the original coordinates by the scale factor, that is

(1, - 1 ) → (4(1), 4(- 1)) → (4, - 4 )

Answer:

1/2(n+5)

Step-by-step explanation:

Answer:

D. -3

Step-by-step explanation:

The table is:

x  |  y

-5 | 23

-2 | 14

 1 | 5

To find the slope, you need two points (x1, y1) and (x2, y2) and the next formula:

slope = (y2 - y1)/(x2 - x1)

Using (-2, 14) and (1, 5) (other combinations are also possible) the slope is:

slope = (5 - 14)/(1 - (-2)) = -3

Answer:

A: 5/23

Step-by-step explanation:

First, lets take the total amount of coins in the jar: 8 nickels, 10 dimes, 6 quarters, and 22 pennies- for a total of 46 coins.

The question is asking what the odds of pulling a dime are.

Since there is 46 coins in the jar, you can just do a fraction and set it up like this:

10

46

From there just simplify the fraction, 10 / 2 = 5, 46 / 2 = 23. The problem can't be simplified further, so the answer you originally had was correct. 5/23

Hope this helps, give brainliest pls blah blah blah

Answer:

Answer is 67%

Step-by-step explanation:

If you want to get the number four from 4 rolls the chances would be

1st roll = 1/6 (16.667%)

2nd roll = 2/6 (33.333%)

3rd roll = 3/6 (50.000%)

4th roll = 4/6 (66.667%)

So the answer is 67%

The answer is 4/0 or indefinite.

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

B. The endpoint of the dilated line is (-2,4),(6,8)

Step-by-step explanation:

Given

Line segment AB

Endpoints: A(-3,6) and B(9,12)

Scale Factor: 2/3 about the origin

Required

Find the end points of the dilated line

From the question, we understand that the line segment is dilated about the origin;

The keywords about the origin implies that, to get the endpoints of the dilated line, we simply multiply the coordinates of of the original line by the scale factor;

This is shown below;

[tex]For\ A = (-3,6);[/tex]

The new endpoints become

[tex]A' = \frac{2}{3} A[/tex]

[tex]A' = \frac{2}{3} (-3,6)[/tex]

[tex]A' = (\frac{2}{3} * -3, \frac{2}{3} * 6)[/tex]

[tex]A' = (\frac{2* -3}{3}, \frac{2 * 6}{3})[/tex]

[tex]A' = (\frac{-6}{3}, \frac{12}{3})[/tex]

[tex]A' = (-2, 4)[/tex]

[tex]For\ B = (9, 12);[/tex]

The new endpoints become

[tex]B' = \frac{2}{3} B[/tex]

[tex]B' = \frac{2}{3} (9, 12)[/tex]

[tex]B' = (\frac{2}{3} * 9, \frac{2}{3} * 12)[/tex]

[tex]B' = (\frac{2* 9}{3}, \frac{2 * 12}{3})[/tex]

[tex]B' = (\frac{18}{3}, \frac{24}{3})[/tex]

[tex]B' = (6, 8)[/tex]

Hence, the endpoint of the dilated line is (-2,4),(6,8)

Answer:

3/2

Step-by-step explanation:

Answer:

6.0869 mph

Step-by-step explanation:

Nina:

8 km: 45 mins

Jo:

8 km: 49 mins

Speed = distance / time

Speed= 8 / 49

Answer:

Step-by-step explanation:

The third, fifth and sixth expressions (from the top) are NOT polynomials, and the reason in each case is that the expression has one or more negative powers of x in it.

Answer:

(1/4 x 1 ) = 0.25

or (1/4) x 1 = 0.25

Step-by-step explanation:

We are doing the opposite to finding 25%

Which is 1/4 of 100%

We do this an opposite (not as inverse)

To find percentage increase as you can compare below.

or as percentage increase

230 x 0.25 (x 100) = 287.50  

Even though we are not finding increase for 1/4 by changing it to decimal form, this practice does use the (x1) element in brackets and does identify the distribution.

Answer:

Use a calculator or use long division. See long division below.

Step-by-step explanation:

Use a calculator or use long division.

Long division:

               ------------------------------

        4     |  1

4 does not go into 1, so add a decimal pace to 1.

                    0.

                   ------------------------------

            4    |  1.0

4 goes into 10 2 times.

                      0.2

                   ------------------------------

             4    |  1.0

             -          8

           --------------

                        2

There is a remainder, so bring down another 0.

                      0.2

                   ------------------------------

             4    |  1.00

             -          8

           --------------

                        20

4 goes into 20 5 times.

                    0.25

                   ------------------------------

             4    |  1.00

             -          8

           --------------

                        20

               -        20

             --------------

                            0

The remainder is zero.

1/4 = 0.25

Answer:

A

Step-by-step explanation:

because it goes up constantly by 12

It's known as exterior angle theorem...The sum of angleB + angle C is equal to angle DAB....

That means 65+61 = 126...

Angle DAB =126

Answer:

D

Step-by-step explanation:

This net when folded, will become a triangular prism, which is only represented by option D.

Answer: Domain = all x values and Range = all y values

Step-by-step explanation:

The domain of a function is all the allowed x values that make the function true. Luckily you were already given the domain. Its all the x values.

The range of a function is pretty much all the allowed y values of a function. Or, what y values the function can be equal to. So that's just all the y values

When listing the domain and range, you generally want to do it from least to greatest and you do not want to repeat any values

Answer:

D:{ -23,-17,-7,2,4}

R:{-18,-10,13,21,22}

Step-by-step explanation:

The domain is the input

D:{ -7,-23,4,-17,2}

We normally put them in numerical order

D:{ -23,-17,-7,2,4}

The range is the output

R:{-18,21,13,22,-10}

We normally put them in numerical order

R:{-18,-10,13,21,22}

Answer:

-7

Step-by-step explanation:

2x+3=x-4

Let's start by subtracting 3 from both sides

2x=x-7

Now, subtract x from both sides

x=-7

Let's plug it in to make sure!

2(-7) +3= (-7)-4

-11=-11

Answer:

x= -7

Step-by-step explanation:

You subtract both sides by x meaning the x on the right side will turn to zero and then you subtract both sides by 3

Answer:

No

Yes

No

No

Step-by-step explanation:

Answer:

(1) The correct option is (A).

(2) The probability that Aadi will get Tails is [tex]\frac{2}{5}[/tex].

Step-by-step explanation:

It is provided that:

The probability of tail in both cases is:

(1)

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

In this case we need to compute the proportion of tails.

Then according to the Central limit theorem, Sue's estimate is best because she throws it n = 50 > 30 times.

Thus, the correct option is (A).

(2)

As explained in the first part that Sue's estimate is best for getting a tail, the probability that Aadi will get Tails when he tosses the coin once is:

[tex]P(\text{Tail})=\frac{20}{50}=\frac{2}{5}[/tex]

Thus, the probability that Aadi will get Tails is [tex]\frac{2}{5}[/tex].

Answer:

Answer is C

Step-by-step explanation:

The more you throw the coin the more reliable the test becomes, therefore C is most definitely the correct answer :)

Answer: 3.675 cm

Step-by-step explanation:

June was 35% more compared to May

35% of 10.5 cm = 3.675 cm in May

Answer:

2 2/3 as an improper fraction is 8/3

8/3 × 1/4 = 2/3

Answer:

y

Step-by-step explanation:

The variable in 8y^3 is y because a variable is a number that we don't know yet, and that is the only one.

Answer:

c = 160 - 3(45)

Step-by-step explanation:

if c = the number of characters left;

160 = maximum number of characters that can be used in a text

3*45 = number of characters in sentences already used. (There are 3 sentences of 45 characters.)

(# of char left) = (max # char) - (# char already used) so:

c = 160 - 3*(45)

c = 160 - 135

c = 25

Answer:idk

Step-by-step explanation:

sorry

a=1

b=-5

c=6

Coefficient is very easy. Just take the number in front of the constant x

Answer:

a = 1

b = - 5

c = 6

Step-by-step explanation:

f(x) = ax² + bx + c

f(x) = x² - 5x + 6

a = 1

b = - 5

c = 6