Need help in this
Sam has a deck that is shaped like a triangle with a base of 15 feet and a height of 6 feet. He plans to build a 4:5 scaled version of the deck next to his horse's water trough.

Part A: What are the dimensions of the new deck, in feet? Show every step of your work. (4 points)

Part B: What is the area of the original deck and the new deck, in square feet? Show every step of your work. (4 points)

Part C: Compare the ratio of the areas to the scale factor. Show every step of your work. (4 points)

Answer:

[tex]\large\boxed{\textsf{See Below.}}[/tex]

Step-by-step explanation:

[tex]\textsf{We are asked which expressions are equivalent to 10}^{\tt -6}.[/tex]

[tex]\textsf{We are given that we need to use the \underline{Negative Exponent Rule}.}[/tex]

[tex]\large\underline{\textsf{What is the Negative Exponent Rule?}}[/tex]

[tex]\textsf{The Negative Exponent Rule is a rule that describe how to evaluate negative}[/tex]

[tex]\textsf{exponents.}[/tex]

[tex]\large\underline{\textsf{How do we use the Negative Exponent Rule?}}[/tex]

[tex]\textsf{We use the negative exponent rule to multiply the denominator of a number by}[/tex]

[tex]\textsf{itself how many times the value of the exponent is.}[/tex]

[tex]\underline{\textsf{Example of the Negative Exponent Rule;}}[/tex]

[tex]\tt 10^{-2}. \ \textsf{Start with 10}^{\tt 1}, \ \textsf{then continue.}[/tex]

[tex]\tt 10^{1} = \frac{10}{1} \rightarrow 10^{\tt 0} = \frac{10}{1 \times 10} = \frac{10}{10} \rightarrow 10^{\tt -1} = \frac{10}{10 \times 10} = \frac{10}{100} \rightarrow 10^{\tt -2} = \frac{10}{100 \times 10} = \boxed{ \frac{10}{1000} }[/tex]

[tex]\large\underline{\textsf{Use the Negative Exponent Rule for our given expressions;}}[/tex]

[tex]\tt \frac{1}{10 \times 10 \times 10 \times 10 \times 10 \times 10} \overset{\textsf{is the same as}} \rightarrow \frac{1}{10^{6}}[/tex]

[tex]\textsf{There is a fraction for this expression, meaning that the exponent is negative.}[/tex]

[tex]\tt \frac{1}{10^{6}} = 10^{\tt -6}[/tex]

[tex]\large\boxed{\tt \frac{1}{10 \times 10 \times 10 \times 10 \times 10 \times 10} = 10^{\tt -6}}[/tex]

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[tex]\tt 10^{\tt -3} \times 10^{\tt 2}[/tex]

[tex]\textsf{Remember that when exponents multiply, they're going to add together due to}[/tex]

[tex]\textsf{this expression having at least 2 constants.}[/tex]

[tex]\tt 10^{\tt -3} \times 10^{\tt 2} \rightarrow 10^{\tt -3+2} \rightarrow 10^{\tt -1}[/tex]

[tex]\large\boxed{\tt 10^{\tt -3} \times 10^{\tt 2} \neq 10^{\tt -6}}[/tex]

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[tex]\tt 10^{\tt -3} + 10^{\tt -3}[/tex]

[tex]\textsf{We should know that adding exponents is not like adding whole numbers/terms.}[/tex]

[tex]\textsf{We will need to evaluate 10}^{\tt -3} \ \textsf{using the Negative Exponent Rule.}[/tex]

[tex]\tt 10^{\tt 0} = \frac{10}{10} \rightarrow \tt 10^{\tt -1} = \frac{10}{10 \times 10} = \frac{10}{100} \rightarrow \tt 10^{\tt -2} = \frac{10}{100 \times 10} = \frac{10}{1000} \rightarrow \tt 10^{\tt -3} = \frac{10}{1000 \times 10} = \boxed{\frac{10}{10000}}[/tex]

[tex]\tt \frac{10}{10000} \ \textsf{can reduce to} \ \boxed{\tt \frac{1}{1000}}[/tex]

[tex]\underline{\textsf{We are now adding;}}[/tex]

[tex]\tt \frac{1}{1000} + \frac{1}{1000} = \frac{2}{1000} \rightarrow \boxed{\frac{1}{500} }[/tex]

[tex]\textsf{This does \underline{not} evaluate to 10}^{\tt -6}[/tex]

[tex]\large\boxed{\tt 10^{\tt -3} + 10^{\tt -3} \neq 10^{\tt -6}}[/tex]

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[tex]\tt \frac{1}{10^{\tt 6}}[/tex]

[tex]\textsf{Because there's a fraction, the exponent is negative.}[/tex]

[tex]\large\boxed{\tt \frac{1}{10^{\tt 6}} = 10^{\tt -6}}[/tex]

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[tex]\tt \frac{10^{\tt 3}}{10^{\tt 9}}[/tex]

[tex]\textsf{Remember that when dividing exponents, they are going to subtract due to both}[/tex]

[tex]\textsf{of these numbers are constants.}[/tex]

[tex]\tt \frac{10^{\tt 3}}{10^{\tt 9}} \rightarrow \tt 10^{\tt 3-9} = 10^{\tt -6}[/tex]

[tex]\large\boxed{\frac{10^{\tt 3}}{10^{\tt 9}} = 10^{\tt -6}}[/tex]

[tex]\large\underline{\textsf{Hence;}}[/tex]

[tex]\large\boxed{\tt \frac{1}{10 \times 10 \times 10 \times 10 \times 10 \times 10} = 10^{\tt -6}}[/tex]

[tex]\large\boxed{\tt 10^{\tt -3} \times 10^{\tt 2} \neq 10^{\tt -6}}[/tex]

[tex]\large\boxed{\tt 10^{\tt -3} + 10^{\tt -3} \neq 10^{\tt -6}}[/tex]

[tex]\large\boxed{\tt \frac{1}{10^{\tt 6}} = 10^{\tt -6}}[/tex]

[tex]\large\boxed{\frac{10^{\tt 3}}{10^{\tt 9}} = 10^{\tt -6}}[/tex]

Answer:

  p = 12s -25

Step-by-step explanation:

You want an expression for Haddie's profit from the sale of s scarves when she has revenue of $12 each and a cost of $25.

Profit is the difference between revenue and cost. Haddie's revenue from sale of s scarves is ...

  revenue = 12s

Haddie's cost is the fee she pays for the booth rental:

  cost = 25

Her profit (p) is the difference between these values:

  profit = revenue - cost

  p = 12s -25

Answer: R'(2, 3)

Check the picture below.

so the shape on 2) is simply the shape of a rectangular prism underneath a  right-cylinder, now if we take the cylinder from the prism, we have the picture as you see below, so let's simply get the area of cylinder excepting  the bottom part, and then we'll take the area of the prism excepting the cylindrical part above it.

now, the area of the prism is simply the area of 6 rectangles, and the area of the cylinder is just the area of one circle above and the lateral area of it.

[tex]\stackrel{ \textit{\LARGE area of the prism} }{\stackrel{\textit{front and back}}{(25)(5)}+\stackrel{\textit{left and right}}{(25)(5)}+\stackrel{\textit{top and bottom}}{(25)(25)}~~ - ~~\stackrel{ \textit{excepted area} }{\pi (10)^2}} \\\\\\ 125+125+625~~ - ~~100\pi ~~\approx ~~ 560.84 \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{ \textit{\LARGE area of the cylinder} }{\stackrel{ \textit{circular top} }{\pi (10)^2}~~ + ~~\stackrel{ \textit{lateral area} }{2\pi (10)(5)}}\implies 100\pi +100\pi ~~ \approx ~~ 628.32 \\\\[-0.35em] ~\dotfill\\\\ 560.84~~ + ~~628.32 ~~ \approx ~~ \text{\LARGE 1189.16}~cm^2[/tex]

1189.16 cm²

So the shape on 2) is simply the shape of a rectangular prism underneath a  right-cylinder, now if we take the cylinder from the prism, we have the picture as you see below, so let's simply get the area of cylinder excepting  the bottom part, and then we'll take the area of the prism excepting the cylindrical part above it.

Now, the area of the prism is simply the area of 6 rectangles, and the area of the cylinder is just the area of one circle above and the lateral area of it.

Area of the Prism = (25 * 5) + (25 * 5) + (25 * 25) - (100 * π)

                               = 125 + 125 + 625 - 100 π

                               = 560.84 cm²(Approximately)

Area of the cylinder = (π * 10²) + (2π * 10 * 5)

                                   = 100π + 100π

                                   = 628.32 cm² (Approximately)

Total area = Area of prism + Area of cylinder

                 = 560.84 + 628.32

                 = 1189.16 cm² (Approximately)

Please mark my answer as the BRAINLIEST. Plsssssssssssssssss

Hope my answer helps you.

:)

I am surprised to see that the genius had the same answer as me!!!!!!!

y + 3 = 3/5(x - 6)

Your welcome

Answer:

Each book cost 15 dollars.

Here’s the work: Sara had 136 dollars and spent some money on 8 books. After buying them she had 16 dollars left. So she spent 136 - 16 = 120 dollars on books. Since she bought 8 books with that money, each book cost her 120 / 8 = 15 dollars.

Answer:

Step-by-step explanation:

To start, we need to recognize that absolute value is a way of expressing the magnitude of a number, regardless of its sign. Thus, to get rid of the absolute value, we need to consider the two cases in which the expression can have either a positive or a negative sign.

For the case of a positive sign, we can simply write the expression as: 14-(x-6)

For the case of a negative sign, we can multiply both sides of the equation by -1 to get: -14 + (x-6)

Overall, we can express the expression without the absolute value symbol as:

14-(x-6) or -14 + (x-6)

Answer: B

Step-by-step explanation: it says twice aka 2x the only one that has 2x is B

Answer:

150 inches of string

Step-by-step explanation:

Answer:

The correct answer is B. foot

Heights of mountains are often measured in feet.

Answer:

Budget is the name given for the evaluation or speculative calculation of the cost of a work or service to be provided.

Step-by-step explanation:

The definition of a budget normally takes into account two main characteristics: the revenue, that is, the amount collected or available, and the expense, which would be the amount to be spent for the completion or maintenance of something. Budgets are present in various aspects of everyday life, from planning for a renovation of the house, to the amounts that will be earmarked for the maintenance of public government services, which directly or indirectly affect the lives of citizens.

Balancing a budget seems easy, but it requires a lot of self-control and discipline. Some strategies for achieving this balance are: do not spend more than what you earn, do not buy anything on impulse, do not borrow, renegotiate your debts and save on expenses that are superfluous.

Answer:

¨Isaac has 1.17 pounds of cat food. He uses 0.13 pounds of cat food to feed one cat. How many cats can Isaac feed with the cat food he has?¨ the answer is 9

Answer:

9

Step-by-step explanation:

1.17 divided by 0.13

Step #1: 0.13 x 5 = .65

1.17 - 0.65 = 0.52

Step #2: 0.13 x 4 = 0.52

0.52 - 0.52 = 0

Step #3: 5 + 4 = 9.

Answer:

1/20 is your answer

Step-by-step explanation:

Answer:

0.285

Step-by-step explanation:

radius of a cylinder is The square root if the volume over pie which is 22÷7 multiplied by the height

here we have : square root of 320 divided by 22÷7 × 20cm. the answer is

Answer:

-3|-5| + 2(-5)

= -3(5) + 2(-5)

= -15 + (-10) = -25

Answer:

24 ounce can is the better deal

Step-by-step explanation:

24 ounces has a rate of $ .10 per ounce while 16 has a rate of $ .11 per ounce

Answer:

24 ounce

Step-by-step explanation:

Area formula:

not to confuse with circle B, we will ignore it.

pi r^2

the area is pi × 9^2

or simplified 254.47 (2.dp)

Answer:

false

Step-by-step explanation:

the area of circle A is 83.77

Killer whales in the Pacific are about 2.6 m long at birth. They grow at a rate of about 0.38 m per year, up to the age of 10 or more years. A marine biologist finds and rescues a 5-meter-long killer whale stranded on a beach. Based on this information, how old is the whale?

Length when found is the length at birth plus the product of age and yearly growth.

Use the buttons below to build an equation with words and symbols.

CHECK

Killer whales in the Pacific are about 2.6 m long at birth. They grow at a rate of about 0.38 m per year, up to the age of 10 or more years. A marine biologist finds and rescues a 5-meter-long killer whale stranded on a beach. Based on this information, how old is the whale?

Length when found is the length at birth plus the product of age and yearly growth.

Use the buttons below to build an equation with words and symbols.

CHECK

Killer whales in the Pacific are about 2.6 m long at birth. They grow at a rate of about 0.38 m per year, up to the age of 10 or more years. A marine biologist finds and rescues a 5-meter-long killer whale stranded on a beach. Based on this information, how old is the whale?

Length when found is the length at birth plus the product of age and yearly growth.

Use the buttons below to build an equation with words and symbols.

CHECK

Good luck i hope you pass <3
Answer:

A. n ≤ 10

Step-by-step explanation:

Corinna wants to buy a $229 plane ticket. She currently has $64, so she needs to save up $229 - $64 = $165. Since she earns $15 per hour, we can set up the equation n * 15 = 165, where n represents the number of hours Corinna needs to work. Solving for n, we get n = 11.1, which we can round down to 11 hours. Therefore, Corinna must work at least 11 hours to save up enough money to buy the $229 plane ticket. Answer choice A is the correct answer.

Note: Rounding down to 11 is not required, as long as we do not round up to 12. Rounded or unrounded, 11 is the smallest integer greater than or equal to 11.1, so it is the minimum number of hours Corinna would need to work to save up enough money for the plane ticket.

Answer: 6 cars and 4 larger vehicles:

Step-by-step explanation:

(10×6)+(4×15)= 120

60+60=120

Answer:6 cars and 4 larger vehicles

Step-by-step explanation:

The surface area of a solid is the area of its faces. The surface area of a cube is just 6*side length^2 since the faces are the same and the faces are squares. So, we have 6 * 11^2 = 726.