what is the maximum number of cubes with side lengths of 1/2 cm that can fit into a right rectangular prism with base dimensions of 12 1/2 cm by 8 1/2cm and a height of 9 1/2cm?

First, you can find angle 1 by using the triangle angle formula, stating that all angles add up to 180 deg. Thus, angle 1 is equal to 180-72-57= 51 deg.

Next, you can find angle 2 by using the right angle shown. This means that angle 2 plus 72 deg = 90 deg. Thus, angle 2 is equal to 90-72= 18 deg.

For angle 3, notice that it is bordering the other angle on a straight line. A straight line is equal to 180 deg. This means that angle 3 + 57 deg = 180 deg. Thus, angle 3 is equal to 180-57= 123 deg.

Angle 4 can be found by using the triangle angle formula used for angle 1. In this case, angle 2+3+4 will equal 180 deg. Thus, angle 4 is equal to 180-18-123= 29 deg.

Answer:

1= 51

2= 18

3= 123

4= 39

Step-by-step explanation:

First you must know that all triangles equal 180. From there you can add and subtract the known numbers to get your answers. For example with angle 1, because you are give 72 and 57 you must add them together to get 129 then subtract that from 180 to get 51. You can do similar steps for all the angles to receive the answers.

Answer:

I suggest you use Socratic, it solves questions like this.

Step-by-step explanation:

Answer:

0.92

Step-by-step explanation:

Answer:

-8n+64

Step-by-step explanation:

Answer:

The expected value of the sum of three numbers chosen out of 10 numbers will be 16.5.

Step-by-step explanation:

Felicia has a stack of 10 cards with number 1,2,3,4,5,6,7,8,9,10

Selecting 3 cards out of 10

10C3 = 120

Now she picks three cards to look at their numbers and sum it up

The possible three numbers are

(1 2 3), (1 3 2), (2 1 3) ,(2 3 1), (3 1 2), (3 2 1) ,(1 2 4), (1 4 2), (2 1 4), (2 4 1),

(4 1 2)│(4 2 1), (1 2 5), (1 5 2)│(2 1 5), (2 5 1) ,(5 1 2), (5 2 1), (1 2 6), (1 6 2), (2 1 6), (2 6 1), (6 1 2) ,(6 2 1) ,(1 2 7), (1 7 2) ,(2 1 7), (2 7 1), (7 1 2), (7 2 1), (1 2 8), (1 8 2), (2 1 8) ,(2 8 1), (8 1 2) ,(8 2 1), (1 2 9), (1 9 2), (2 1 9), (2 9 1), (9 1 2), (9 2 1),

(1 2... …, (6 10 8), (8 6 10), (8 10 6), (10 6 8), (10 8 6), (6 9 10), (6 10 9), (9 6 10),

(9 10 6), (10 6 9), (10 9 6), (7 8 9), (7 9 8), (8 7 9), (8 9 7), (9 7 8), (9 8 7), (7 8 10),

(7 10 8), (8 7 10), (8 10 7), (10 7 8), (10 8 7), (7 9 10), (7 10 9), (9 7 10), (9 10 7),

(10 7 9), (10 9 7) , (8 9 10), (8 10 9), (9 8 10), (9 10 8), (10 8 9), (10 9 8)

Now we sum it all up so minimum sum can be 1+2+3 = 6 andthe maximum can be 8+9+10 = 27

Let S denote the sum of the three numbers that are chosen and P(S=k) denotes its probability

P(S=6)=1/120  

P(S=7)=1/120

P(S=8)=1/60

P(S=9)=1/40

P(S=10)=1/30

P(S=11)=1/24

P(S=12)=7/120

P(S=13)=1/15

P(S=14)=3/40

P(S=15)=1/12

P(S=16)=1/12

P(S=17)=1/12

P(S=18)=1/12

P(S=19)=3/40

P(S=20)=1/15

P(S=21)=7/120

P(S=22)=1/24

P(S=23)=1/30

P(S=24)=1/40

P(S=25)=1/60

P(S=26)=1/120

P(S=27)=1/120

Now adding all the sum in order to get the expected value

∑(K=6 to 27) k*P(S=k) = 33/2 = 16.5

Therefore the expected value of the sum is 16.5.

Answer:

slope = -5/2

Step-by-step explanation:

rise/run

down 5

right 2

Answer:

+20 bc 2x10= 20 so +20>20

Answer:

A. 2.10b + 12.99 = 21.39; 4 bottles

Step-by-step explanation:

The b represents bottles of water, at the end of the equation. If each bottle is $2.10, and there were 4 bottles brought, $2.10 * 4 = $8.40, and $8.40 + $12.99 is $21.39.

Answer:

C!

Step-by-step explanation:

I Got it correct! I hope you have a wondeful weekend and Day!!!

Answer:

i dont think so.

Step-by-step explanation:

Answer:

6 to the -4th is 7.716 x 10^-4

Step-by-step explanation:

Answer:

Option C is correct option.

Step-by-step explanation:

We need to find k constant of proportionality

In the graph below let us take the values of x and y

x=150 , y=50

x=300, y=100

x=450, y=150

Now finding k using the formula: [tex]k=\frac{y}{x}[/tex]

Putting values of x and y to find k

For x=150 , y=50 k = 50/150, k =1/3

For x=300, y=100 , k=100/300 , k=1/3

For x=450, y=150, k= 150/450 , k=1/3

Since for values of x and y, k = 1/3 is constant so, the graph shows two quantities that vary directly.

So, Option C is correct option.

Answer:

D

Step-by-step explanation:

Answer:

-1,0

0,-4

1,-6

Step-by-step explanation:

plug in the first number into x and it gets you the second number

(-1, 0), (0, -4), (1, -6) points are solutions of the given quadratic equation.

A quadratic equation is an equation where the variable has the highest power of 2.

Given equation is y = x² - 3x - 4

1. For (-4, 0), L.H.S = 0, R.HS = (- 4)² - 3(- 4) - 4 = 24.

Hence, (-4, 0) is not a solution of the given equation.

2. For (-1, 0), L.H.S = 0, R.HS = (- 1)² - 3(- 1) - 4 = 0.

Hence, (-1, 0) is a solution of the given equation.

3. For (0, -4), L.H.S = -4, R.HS = (0)² - 3( 0) - 4 = - 4

Hence, (0, -4) is a solution of the given equation.

4. For (1, -6), L.H.S = -6, R.HS = (1)² - 3(1) - 4 = -6.

Hence, (1, -6) is a solution of the given equation.

5. For (1, 0), L.H.S = 0, R.HS = (1)² - 3(1) - 4 = -6.

Hence, (1, 0) is not a solution of the given equation.

6. For (3, -7), L.H.S = -7, R.HS = (3)² - 3(3) - 4 = -4.

Hence, (3, -7) is not a solution of the given equation.

Learn more about quadratic equation here: https://brainly.com/question/2263981

#SPJ2

Answer:

3a4b-c

3(4)4(3)-10

12(12)-10

144-10

=134

Step-by-step explanation:

Answer:

134

Step-by-step explanation:

3×4=12

4×3=12

12×12=144

144-10=134

thats what I got

hope it helps

Answer:

f(6)=2

f(2)=4

f(0)=7

f(5)=1.5

f(x)=1 x=4

Step-by-step explanation:

f(x)=y.The numbers represent the x values. As you are plugging in a number for x. Just look at the graph on the x-axis to get the y-values.

Answer:

Step-by-step explanation:

Given tgat:

Regular price = $32

Discount = 20%

Sale tax = 8.1%

Answer:

mostly. trees and most plants arent

Answer:

2)

d. -1 1/2

3)

c. 21 1/2

Step-by-step explanation:

Answer:

Step 1 Divide all terms by a (the coefficient of x2).

Step 2 Move the number term (c/a) to the right side of the equation.

Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

hope this help

but this is little info dont worry i will answer your question just in a minute

Step-by-step explanation:

Answer:

I have no idea

Step-by-step explanation:

sigh

12345676543234567654323456788765 x 1234567654321234567 x 12345678876543234567876543234...

12345676543234567654323456788765 x 1234567654321234567

=

1.5241573e+49

1.5241573e+49 x 12345678876543234567876543234

=

1.8816757e+77

1.8816757e+77 x 4

=

7.5267028e+77

bro this was so hard , , ,

Answer:

B

Step-by-step explanation: He will make two payments on the game system and then u divide the 175 with the 19.2 and that will give u the answer

Answer:

1.58 is bigger than 1.025

Step-by-step explanation:

Answer:

1.58 is greater

Step-by-step explanation:

because just compare the digits...in once place both are having same no. but in tenths place they are different since 5 is greater than 0

Answer:

108 degrees

Step-by-step explanation:

Since we are not given the radian measure. Let the radian measure be 3π/5 rad;

Using the conversion;

πrad = 180°

3π/5 rad = x

Cross mulriply;

π * x = 180 * 3π/5

x =  180 * 3/5

x = 36 * 3

x = 108 degrees

Hence the degree measure is 108 degrees

Note that the same conversion can be used to convert other values in radians

Answer:

Uh I need more information to answer that.

Step-by-step explanation:

u only posted this: what is the lenght of AB. That isn't even how u spell length,  

AB could be anything.