MATHEMATICS HIGH SCHOOL

Solve for h in the mathematical formula V=pi r^(2)h

Answers

Answer 1

Answer:

Answer:

$(V)/(\pi r^(2) )$ = h

Step-by-step explanation:

Lets try and get everything we can away from h.

V = $\pi$ $r^(2) h$

Divide $\pi$ $r^(2)$ from both sides of the equation.

Now we end up with:

$(V)/(\pi r^(2) )$ = h

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Jessica took out a, $84,000 loan to buy her grandmother a house. After 10 years, she had paid $31.500 in interest. What was herinterest rate?

Answers

3.75%
_________
please mark brainliest if correct

Edwin and Anthony are building a rectangular deck in their backyard. The longer side is 2 ft more than 1/3 of the perimeter. The shorter side is 1/10 of the perimeter. They also know that the longer side is 9 ft longer than the shorter side. What is the perimeter of the deck?

Answers

Answer:

30 ft

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Let

Perimeter = x

Length = 1/3x + 2

Width = 1/10x

Length = 9 + 1/10x

Perimeter of the deck = 2(length + width)

x = 2(1/3x + 2 + 1/10x)

x = 2(10x+3x/30 + 2)

x = 2(13/30x + 2)

x = 26/30x + 4

x - 26/30x = 4

30x-26x/30 = 4

4/30x = 4

Divide both sides by 4/30

x = 4 ÷ 4/30

= 4 × 30/4

x = 30 ft

Length = 1/3x + 2

= 1/3(30) + 2

= 30/3 + 2

= 10 + 2

= 12 ft

Width = 1/10x

= 1/10(30)

= 30/10

= 3 ft

Length = 9 + 1/10x

= 9 + 1/10(30)

= 9 + 30/10

= 9 + 3

= 12 ft

The perimeter of the deck = x = 30 ft

Help please!!A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 8 inches.

Part A: Write a list of 6 ordered pairs to show the height of the candle in inches (y) as a function of time in hours (x) from the first hour after it started burning. For example, the point (0, 8) would represent a height of 8 inches after 0 hours. Explain how you obtained the ordered pairs. (5 points)

Part B: Is this relation a function? Justify your answer using the list of ordered pairs you created in Part A. (2 points)

Part C: If the rate at which the candle burned was 0.4 inches per hour instead of 0.5 inches per hour, would the relation be a function? Explain your answer using input and output values. (3 points)

Answers

for every hour you need to subtract 0.5 an you get your answer

How do you write 48% as a fraction, mixed number, or whole number in simplest form?

Answers

48% means 48/100

48/100

Factor out the 4

4 x 12/4 x 25

As 4 appears in both numerator and denominator as a factor it can be eliminated

12/25( Simplest Form)

Hope I helped!

The length of a rectangle is 2 inches more than a number. The width is 1 inch less than twice the same number. If the area of the rectangle is 42 in2 find the dimensions of the rectangle

Answers

Answer:

length: 6 inches

width: 7 inches

Step-by-step explanation:

Let n represent the number. Then the length is (n+2) and the width is (2n-1). The product of these dimensions is the area:

42 = (n+2)(2n -1) = 2n^2 +3n -2

2n^2 +3n -44 = 0 . . . . subtract 42

(n -4)(2n +11) = 0 . . . . . factor

n = 4 . . . . . . . . we aren't interested in the negative solution

Length = 4+2 = 6 . . . inches

Width = 2·4 -1 = 7 . . . inches

Final answer:

The dimensions of the rectangle given that its area is 42 square inches, the length is 2 inches more than a number, and the width is 1 inch less than twice the same number, are 6 inches by 7 inches.

Explanation:

To solve this problem, let's define the unknown number as

x. According to the problem, the length of the rectangle is 2 inches more than x (so it's x + 2), and the width is 1 inch less than twice the number x (which makes it 2x - 1).

Now, we'll use the formula for the area of a rectangle, which is length times width: (x + 2) * (2x - 1) = 42.

Solve this equation by expanding the parentheses (2x^2 + 4x - x - 2 = 42), simplifying (2x^2 + 3x - 2 - 42 = 0), and rearranging (2x^2 + 3x - 44 = 0).

Using the quadratic formula, we find that the possible values of x are 4 and -5.5. However, a negative size doesn't make sense in this context, so x = 4 inches. That makes the length = 4 + 2 = 6 inches, and the width = 2*4 - 1 = 7 inches. Therefore, "the dimensions of the rectangle are 6 inches by 7 inches".

Learn more about Algebra here:

brainly.com/question/24875240

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What is the square root of 49 multiplied by the square root of 9

Answers

First we need to find the the answer to both the square root of 49 and 9.

The "square root" is a term referring to a number, multiplied by itself (x • x) would be = to your square root.

So for example: Square root of 16 = 4 because 4*4=16

So lets get out numbers:

$√(9) =3$
$√(49)=7$

Now you multiply 3*7 (or 7*3) and you get 21.

Final answer: 21

Well, first, you need to find the square root of the two numbers. To find it, they are the numbers multiplied by each other to get a product. Example: The square root of 49 = 7. Why? Because 7 times 7 = 49. You see how we multiplied 7 by its own self, and how we DIDN'T multiply 7 by any other number BUT itself? See, that's how you find the square root. So, we know that 3 times 3 = 9, and THAT means the square root of 9 = 3. All we have to do now is solve the problem when it says to multiply both of the numbers, (7 times 3), and WHAT DO YOU GET? 21! (Get it? Like the 21 joke-trend?) :D (Laughing emote). :P
Final Answer: 21. :-)

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