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2 years ago

8

Megan has3/4 of a cup of powdered sugar. She sprinkles 9/10 of the cup of sugar on to a plate of brownies and sprinkles the rest

on some lemon cookies. How much sugar does Megan sprinkle on the plate of brownies?

1 answer:

natka813 [3]2 years ago

8 0

Megan sprinkled 27/40 of the powdered sugar on the brownies.
3/4 = .75
.75 / 10 = .075
.075 x 9 = .675
.675 = 675/1000
675/1000 = 27/40

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Answer:

Part 1) The scale factor is $2$

Part 2) The dimensions of the enlarged prism are

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b.Width=(2)(2)=4 ft

c.Height=(6)(2)=12 ft

Part 3) The surface area of the smaller rectangular prism is 152 ft^{2}

Step-by-step explanation:

we now that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

Part 1)

Find the scale factor

we know that

If the dimensions of the smaller prism are doubled , then the scale factor from the smaller rectangular prism to the larger rectangular prism is equal to $2$

Part 2)

we know that

To find the dimensions of the enlarged figure, multiply the dimensions of the smaller prism by the scale factor

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Length=(8)(2)=16 ft

Width=(2)(2)=4 ft

Height=(6)(2)=12 ft

Part 3) Find the surface area of the smaller rectangular prism

we know that

The surface area of the rectangular prism is equal to the area of its six rectangular faces

SA=2(8)(2)+2(2)(6)+2(8)(6)=152 ft^{2}

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3 years ago

What is the distance to the earth's horizon from

shepuryov [24]

Answer: 216.2 miles

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Alright, lets get started.

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2 years ago

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Using Pythagoras theorem, we know that 3² + 4² = 5², draw the 3-foot side and the 4-foot side with a right angle between them. The 5-foot side will fit to form a right triangle

<h3>How to use Pythagoras theorem to prove a right triangle?</h3>

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

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1 year ago

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3 years ago

A colony of cats were introduced into a reserve. The number of cats present at timet(measured in years since the colony was intr

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d) 14

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Given the expression for number of cats C present at time t:

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a) To find the number of cats initially on the reserve, let t = 0

Therefore, substitute 0 for t in the equation

$\begin{gathered} C\text{ = }\frac{12.31}{0.05+0.56^0} \\ \text{ = }\frac{12.31}{0.05\text{ + 1}} \\ \text{ = }\frac{12.31}{1.05} \\ =\text{ }11.72 \end{gathered}$

Number of cats initially on the reserve are approximately 12 cats

b) C(10):

$\begin{gathered} C(10)\text{ = }\frac{12.31}{0.05+0.56^{10}}\text{ = 232.12} \\ \end{gathered}$

C(10) = 232

Here, C(10) means that C is a function of 10. This means at time = 10 years

C)Using function notation to express the number of cats present after 17 years, we have:

$C(17)\text{ = }\frac{12.31}{0.05+0.56^{17}}$

$C(17)\text{ = }\frac{12.31}{0.05+0.56^{17}}\text{ = }245.94$

Therefore, number of cats present after 17 years are approximately 246 cats

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d) In this case, first find the number of cats present in the 10th year and subtract from the number of cats present in the 17th year.

$C(10)\text{ = }\frac{12.31}{0.05+0.56^{10}}=\text{ }232.12$

From question C above, we know C(17) = 246

Therefore, the increase in cat population to be expected from the 10th year to the 17th year is:

C(17) - C(10) = 246 - 232 = 14 cats

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7 months ago