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3 years ago

How is the answer 100.48 ?? Someone explain I'm confused

Mathematics

1 answer:

Deffense [45]3 years ago

7 0

Use the following formula:

$A=2\pi rh+2\pi r^{2}$

Take the value of $\pi$ as 3.14 and add the values in the formula:

$A=2(3.14)(2)(6)+2(3.14)(2)^{2}$

$A=75.36+25.12$

$A=100.48$

I hope this helped :)

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Describe the intersection of two planes.

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Two planes intersect to form a line.

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How many positive odd integers less than 300 can be formed using the digits 0, 1,2,3,4?

Citrus2011 [14]

If you are allowed to use a single digit multiple times like 11 or 33 then the answer is: 50

If you can only use those digits once, then the answer is: ---> 26

The question is a bit opaque :)

The way the question is written, it should be 50, but 26 can be an answer if those digits are only used once.

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3 years ago

3x+2y=46 x+y=17 how u solve

taurus [48]

Answer: (12, 5)

Step-by-step explanation:

3x + 2y = 46 x + y = 17

Subtract y from both sides of the equation.

x = 17 − y 3x + 2y = 46

Replace all occurrences of x with 17 − y in each equation.

51 − y = 46

x = 17 − y

Solve for y in the first equation.

Move all terms not containing y to the right side of the equation.

Subtract 51 from both sides of the equation.

−y = 46 − 51

x = 17 − y

Subtract 51 from 46.

−y = −5

x = 17 − y

Multiply each term in −y = −5 by −1

Multiply each term in −y = −5 by −1. (−y) ⋅ −1 = (−5) ⋅ −1

x = 17 − y

Multiply (−y) ⋅ −1.

y = (−5) ⋅ −1

x = 17 − y

Multiply −5 by −1.

y = 5

x = 17 − y

Replace all occurrences of y with 5 in each equation.

Replace all occurrences of y in x = 17 − y with 5. x = 17 − (5)

y = 5

Simplify 17 − (5).

Multiply −1 by 5.

x = 17 − 5

y = 5

Subtract 5 from 17.

x = 12

y = 5

The solution to the system is the complete set of ordered pairs that are valid solutions.

(12, 5)

The result can be shown in multiple forms.

Point Form: (12, 5)

Equation Form: x = 12, y = 5

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3 years ago

Given |u| = 10 at ∠135° and |v| = 5 at ∠30°, what expression can be used to find |u + v|?

astraxan [27]

Answer:

B, $10^{2} + 5^{2}- 2(10)(5)cos(75)$

Step-by-step explanation:

Using the law of cosines, which is $c^{2}=a^{2}+b^{2}-2ab cos(C)$ , you can simply insert all the values.

c=|u+v|

a= r value of u (10)

b= r value of v (5)

To find C, you simply have to subtract v from u, and then subtract that number from 180 to find the reference angle.

I.E.: ∠135 - ∠30 = ∠105 ↔ 180 - 105 = 75 = C

so, the completed equation would be 10^{2} + 5^{2}- 2(10)(5)cos(75)

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Shelby made a mistake in her checkbook. She wrote a check for $8.50 to rent a video game but mistakenly recorded it in her check

alekssr [168]

Answer:

Part A

The first transaction which is to write a check of $8.50 is a debit transaction which carries a negative sign while

The second transaction which states that she wrote it as a deposit carries a positive sign because deposit means to add

Part B

The absolute value of a number is never negative.

|-8.50| = 8.50

Step-by-step explanation:

Part A: Which point represents each of Shelby's transaction on the number line below? Explain the difference between these two transactions.

The firsts transaction says:

She wrote a check for $8.50 to rent a video game.

Writing a check of $8.50 is a debit to her bank account. This is a negative value because $8.50 is taken from the money in her bank account.

Mathematically this means, -$8.50

The second transaction states that:

She mistakenly recorded it in her checkbook as an $8.50 deposit.

Mathematically, a deposit means a positive action, where money is added to the money in her bank account.

Hence,

+$8.50

Part B: Use absolute value to explain how a debt of $8.50 and a deposit of $8.50 are similar.

In mathematics it is important to note that:

The absolute value of a number is never negative.

Hence,

Debt of $8.50 = -8.50

Deposit of $8.50 = +8.50

Hence,

|-8.50| = 8.50

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