Use the diagram of parallelogram ABCD to find the length of each side.

Using base conversion method, 2FA.C8 base 16 can be expressed as:

To express 2FA.C8 in octal form, it is first converted to a decimal form as follows:

where:

F = 15

A = 10

C = 12

2FA.C8 = 2 × 16^2 + F × 16^1 + A × 16^0 + C × 16^-1 + 8 × 16^-2

2FA.C8 = 762.7812510 in decimal.

Then, convert 762.7812510 to octal as follows:

762 / 8 = 95 remainder 2

95 / 8 = 11 remainder 7

11 / 8 = 1 remainder 3

1 / 8 = 0 remainder 1

762 = 1372

Then;

0.78125 × 8 = 6 + 0.25

0.25 × 8 = 2 + 0

0.78125 = 0.62

Therefore, 762.78125 in decimal = 1372.628 in octal

To convert 2FA.C8 base 16 to pental form, we use its value in decimal for conversion.

Then, convert 762.7812510 to pental as follows:

762 / 5 = 152 remainder 2

152 / 5 = 30 remainder 2

30 / 5 = 6 remainder 0

6 / 5 = 1 remainder 1

1 / 5 = 0 remainder 1

Then 0.78125 to pental:

0.78125 × 5 = 3 + 0.90625

0.90625 × 5 = 4 + 0.53125

0.53125 × 5 = 2 + 0.65625

0.65625 × 5 = 3 + 0.28125

0.28125 × 5 = 1 + 0.40625

0.40625 × 5 = 2 + 0.03125

0.03125 × 5 = 0 + 0.15625

0.15625 × 5 = 0 + 0.78125

0.78125 × 5 = 3 + 0.90625

0.90625 × 5 = 4 + 0.53125

Thus, 0.78125 in decimal = 0.3423120034 in pental

Therefore, 762.78125 in decimal = 11022.3423120034 in pental.

To convert 2FA.C8 base 16 to binary form, we use its value in decimal for conversion.

Then, convert 762.7812510 to binary as follows:

762 / 2 = 381 remainder 0

381 / 2 = 190 remainder 1

190 / 2 = 95 remainder 0

95 / 2 = 47 remainder 1

47 / 2 = 23 remainder 1

23 / 2 = 11 remainder 1

11 / 2 = 5 remainder 1

5 / 2 = 2 remainder 1

2 / 2 = 1 remainder 0

1 / 2 = 0 remainder 1

Then 0.78125 to binary:

0.78125 × 2 = 1 + 0.5625

0.5625 × 2 = 1 + 0.125

0.125 × 2 = 0 + 0.25

0.25 × 2 = 0 + 0.5

0.5 × 2 = 1 + 0

0.78125 base 10 = 0.11001 base two

Therefore, 762.78125 base 10 = 1011111010.11001 base two.

Learn more about base conversion at: https://brainly.com/question/17946394

Answer:

After our solar system began to form, dust and gas combined into small bodies that formed the planets. What are these small bodies called?

dwarf planets

gas giant planets

planetesimals

terrestrial planets

Step-by-step explanation:

Answer:

7.5 is the final answer

Step-by-step explanation:

The probability of finding a person enrolled in psychology that takes all three subjects is 10%, and the probability of finding a person not taking psychology that is taking both history and mathematics is 22%.

To find the probability of A) a person enrolled in psychology that takes all three subjects, and B) a person not taking psychology that is taking both history and mathematics; the following calculations must be made:

Therefore, the probability of finding a person enrolled in psychology that takes all three subjects is 10%, and the probability of finding a person not taking psychology that is taking both history and mathematics is 22%.

Learn more about probabilities in https://brainly.com/question/26677483

Answer:

20 days

Step-by-step explanation:

8.  11/12 gallons of paint
10. 23/24 gallons of drink mix

Step-by-step explanation:

Note: When denominators are different, you must find a common denominator between the two fractions by multiplying both values
Ex: 1/3 and 1/4 = 4/12 and 3/12 common denominator is 12

8. Find the common denominator, 3/4 and 1/6, multiple the first denominator, 4, with three to get 12. Now multiply the numerator by the same number. 9/12 is our new fraction. Since the new denominator is 12, we have to get the other denominator to be 12 as well. Multiply 6 from 1/6 by 2 to get 12. Now do the same with the numerator. 2/12 is our new fraction, and all that's left is to add them together to find how much paint Damon has in total, which is 11/12 gallons.

10. Same concept as the above, 1/12 and 7/8 have a common denominator of 24, multiply 1 and 12 by two to get 2 and 24. Multiply 7 and 8 by 3 to get 21 and 24. 2/24 and 21/24 are our new fractions to add together. 23/24 is our answer.

Enjoy

Answer:

D should be it

Step-by-step explanation:

Answer:

the answer for your question is 82.5 ft

Step-by-step explanation:

Using translation concepts, we have that the graph of f(x):Was shifted 9 units to the right and 3 units down ... O528.75 ft O264.375 ft O 41.25 ft O 82.5 ft.

Answer:

1/4x... = 3; 3.2b = 7; 4.6y = -2; 7.5c = -3

Isolate the variable.

Answer:

113.04 ft^2

Step-by-step explanation:

A= πr^2 = π(6)^2 = π(36) = 113.04

Answer:

No solution

Step-by-step explanation:

5x + 2y = 9

–5x – 2y = 3

0 = 12

This is false. Therefore the equation had no solution.

Hope this helps!

Answer:

15

Step-by-step explanation:

3/3 = 45

2/3 = ?

3/3 - 2/3 = 1/3

1/3 * 45 = 15

Answer:

30

Step-by-step explanation:

45/3=15

15x2=30

Answer:

(x - 2)² + (y - 6)² = 49

Step-by-step explanation:

Equation of a circle formula:  (x - a)² + (y - b)² = r²

where (a, b) is the center of the circle and r is the radius

Given, center = (2, 6) and radius = 7

Substitute this information in the equation of a circle formula.

⇒ Equation of the circle:  (x - 2)² + (y - 6)² = 49

Answer:

A

Step-by-step explanation:

(-5) * (-12) * (-2)

(60) * (-2)

-120

Answer:

59.11221 in^3/s

Step-by-step explanation:

Given dr/dt = 0.6 in/s

Find dV/dt when r = 2.8 in.

[tex]V=\frac{4\pi r^3}{3}\\[/tex]

so [tex]\frac{dV}{dr}=4\pi r^2\\[/tex]

[tex]\frac{dV}{dt}=\frac{dV}{dr}\cdot\frac{dr}{dt}=4\pi r^2\cdot\frac{dr}{dt}[/tex]

Use r = 2.8 in and dr/dt = 0.6 in/s

get

[tex]\frac{dV}{dt}=59.11221 in^3/s[/tex]

Answer:

2. P= 12

Step-by-step explanation:

Remember that if you have an exponent in your variable , what you have to do is to cancel it out by putting a square root in both sides :

√p ^2 = √144      the exponent will cancel out and then just square root 144          

p = 12                   that's your answer  :)

Answer:

-2.25

Step-by-step explanation:

x = -2.25

Answer:

  C.  x ≈ -2.25

Step-by-step explanation:

A spreadsheet or graphing calculator can help you make a table of values. The function values are closest together at ...

  x ≈ -2.25

______

Additional comment

To 11 significant digits, the solution is x ≈ −2.2116632512.

Answer:

The electron moved down to an energy level and has an energy of

[tex]10.92 \times 10^{-19} \textsf{J}[/tex]

Step-by-step explanation:

[tex]\textsf{initial energy level of electron}= 16.32 \times 10^{-19} \textsf{J}[/tex]

[tex]\triangle E =\textsf{energy released}= 5.4 \times 10^{-19} \textsf{J}[/tex]

A positive energy change means that the electron absorbs energy, while a negative energy change implies a release of energy from the electron.

Therefore, when an electron absorbs energy, the electron moves up to higher energy levels, and when an electron releases energy, it moves to lower energy levels.

[tex]\triangle E=E_2-E_1[/tex]

[tex]\implies 5.4 \times 10^{-19} = 16.32 \times 10^{-19} -E_1[/tex]

[tex]\implies E_1= 16.32 \times 10^{-19} -5.4 \times 10^{-19}[/tex]

[tex]\implies E_1= 10.92 \times 10^{-19}[/tex]

Answer:

The electron moved down to an energy level and has an energy of

[tex]10.92 \times 10^{-19} \textsf{J}[/tex]

Answer:

x= 58°

Step-by-step explanation:

if 32° and x is a 90° angle,

32+x = 90

x = 90 - 32

x = 58°

Answer:

relaaaaaaa gezzzzzzzzzzzzzzzzzzzzzzzz

Step-by-step explanation:

Answer:

- 100

Step-by-step explanation:

x (y + z)²

= (-4) [(- 2) + (- 3)]²

= - 4 * (-5)²

= - 4 × 25

= - 100

Hope it helps ⚜

Step-by-step explanation:

we take the values given and we substitute in the equation above.

value of x=-4

y=-2

z=-3

hence we can solve for the equation above

-2(-2+-3)^2

we for everything in brackets first

(-2+-3)=-5

(-5)^2=25hence after solving we multiply by -2

-2(25)=-50

indeed that is my solution.

Answer:

-27

Step-by-step explanation:

We will use the top equation, which is [tex]x^{3}[/tex], because -3 (the x) is less than 0.

-> h(-3) means we are solving for when x is -3

[tex]x^{3}[/tex]

[tex](-3)^{3}[/tex]

[tex]-27[/tex]

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

P and Q must have some relation f their integers but it doesn't give a value

Step-by-step explanation:

Answer:

The answer is

[tex]8 + \sqrt{48} [/tex]

Step-by-step explanation:

the dosage information bases only on age, on weight and the level of the fever. but we have no information about the fever.

so, we assume the fever is below 102.5° F.

the age is with 18 month in the valid range (0.5 to 2 years old) for the dosage.

so, all is left is to do the calculation about the weight.

24 pounds is based on the given information (1 kg ≈ 2.2 pounds) :

24/2.2 = 10.909090909... kg

this is rounded to full kg : 11 kg

the child should get 5 mg per kg, so this child has to get

5×11 = 55 mg