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Pavel
18 days ago
8

Jenn will use 18 connecting cubes to make a model of a park. The model will be in the shape of a rectangle and will have a heigh

t of one cube. In how many different ways can Jenn make the model of the park?
Mathematics
1 answer:
Zina [12.3K]18 days ago
3 0
This question asks how many distinct pairs of integers multiply to give 18.

(Put another way: how many rectangular dimensions can Jenn make using 18 blocks with height 1.)

The factor pairs of 18 are:

1 x 18
2 x 9
3 x 6

Therefore, Jenn can construct the park model in 3 different ways.
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To round the figure 47,125 to the closest tenth, hundredth, and thousandth, it's essential to recognize the positions of these places. The tens position is the second digit from the right. The hundreds position is the third, and the thousands position is the digit immediately following the comma. For rounding to the tens place, you must inspect the digit directly behind it (the ones place) and evaluate. If this digit is between 0-4, you won’t round the tens place, but if it falls between 5-9, rounding is permissible. The same regulation applies when rounding up for the hundreds and thousands places. Consequently, the number arrived at is - 47,135. 
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In the diagram, DG = 15, GF = 5, EH = 12, and DE = 8. To prove that △DFE ~ △GFH by the SSS similarity theorem using the informat
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Answer: C) HF measures 4 units and GH is 2 units.

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To demonstrate the similarity of ΔDFE and ΔGFH according to the SSS similarity theorem, we require:

\frac{DF}{GF}=\frac{FE}{FH}=\frac{DE}{GH}\\\\\Rightarrow\frac{DG+GF}{GF}=\frac{FH+EH}{FH}=\frac{DE}{GH}\\\\\Rightarrow\frac{5+15}{5}=\frac{12+HF}{FH}=\frac{8}{GH}\\\\\Rightarrow\frac{20}{5}=\frac{12+HF}{FH}\ and\ \frac{20}{5}=\frac{8}{GH}\\\\\Rightarrrow4HF=12+HF\ and\ GH=\frac{8}{4}\\\\\Rightarrow3HF=12\ and\ GH=2\\\\\Rightarrow HF=4\ and\ GH=2

Thus, to confirm that △DFE is similar to △GFH utilizing the SSS similarity theorem and the data from the diagram, it is essential to establish that HF measures 4 units and GH measures 2 units.

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Sarah invested $2,500 in an account paying an interest rate of 2.1% compounded continuously. Assuming no deposits or withdrawals
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Response:

$3,000

Detailed breakdown:

This scenario is centered around compound interest, with the formula for compound interest defined as

Provided Data

A = final amount  =?

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By inserting our data into the compound interest equation, we can determine the final amount

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