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eduard
3 years ago
6

Elina’s friend Luke said that he could make more rectangles with 24 tiles then Elaine’s 10 tiles do you agree with Luke’s explai

n
Mathematics
2 answers:
icang [17]3 years ago
5 0
No, because it needs to equal 25, not 24.
LuckyWell [14K]3 years ago
4 0

Answer:

Yes, Luke's statement is correct and he could make more rectangles with 24 tiles than than Elaine's 10 tiles.

Step-by-step explanation:

Clearly, a tile is in the shape of a square.

Let 'a' be the side of a tile.

If we place two tiles side by side, we will get a rectangle whose length is '2a' and width is 'a'.

To make a single rectangle, the minimum number of tiles needed = 2.

So, Luke can make a maximum number of \frac{24}{2} = 12 rectangles.

But, Elaine can make \frac{10}{2} = 5 rectangles.

Hence, Luke's statement is correct and he could make more rectangles with 24 tiles than Elaine's 10 tiles.

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How many different 10 person committees can be selected from a pool of 23 people?
Salsk061 [2.6K]

We're going to be using combination since this question is asking how many different combinations of 10 people can be selected from a set of 23.

We would only use permutation if the order of the people in the committee mattered, which it seems it doesn't.

Formula for combination:

C(n,r)=\dfrac{n!}{(n-r)!r!}

Where n represents the number of objects/people in the set and r represents the number of objects/people being chosen from the set

There are 23 people in the set and 10 people being chosen from the set

C(23,10)=\dfrac{23!}{(23-10)!10!}

=\dfrac{23!}{13!\times10!}

Usually I would prefer solving such fractions by hand instead of a calculator, but factorials can result in large numbers and there is too much multiplication. Using a calculator, we get

=1,144,066

Thus, there are 1,144,066 different 10 person committees that can be selected from a pool of 23 people. Let me know if you need any clarifications, thanks!

~ Padoru

4 0
3 years ago
Read 2 more answers
Find an angle between 0 and 360 degrees that is coterminal with 232
chubhunter [2.5K]

Answer:

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Step-by-step explanation:

4 0
2 years ago
What is the volume of the prism?
mezya [45]

Answer:

40 \frac{5}{8} cm^{3}

Step-by-step explanation:

The figure is a rectangular prism, so the formula would be Volume = length x width x height.

length =  6 \frac{1}{2} cm

width  =  2 \frac{1}{2} cm

height  =  2 \frac{1}{2} cm

If you plug everything you have in the problem into the volume equation, you would get : Volume = 6 \frac{1}{2} cm x 2 \frac{1}{2} cm x 2 \frac{1}{2} cm.

Without a calculator, I would first turn the mixed numbers into improper fractions.

  • 6 \frac{1}{2}  = \frac{13}{2}
  • 2 \frac{1}{2} = \frac{5}{2}

Volume = \frac{13}{2} x  \frac{5}{2} x  \frac{5}{2}

When you multiply everything together you should get \frac{325}{8}.

As a mixed number, that would be 40 \frac{5}{8} cm^{3}.

7 0
2 years ago
In Δ ABC, the sum of the measures of ∠A and ∠B is 47°. what is the measure of ∠C?
Tanya [424]
To determine the measure of angle C. You would solve the equation for X. X+47=180. X= 180-47. X= 133. The measure of angle C is 133 degrees.
8 0
3 years ago
Factor 10c^2-60cd +80d^2
ozzi
10c^2-60cd +80d^2

(2c - 8d) (5c -10d)

this  \\ is \\ because...

2c*5c=10c^2

2c * -10d=-20cd \\ -8d*5c=-40cd \\ -20cd-40cd=-60cd

-8d * -10d = 80d
5 0
2 years ago
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