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3 years ago

7

Mari has 28 wooden cubes. She wants to stack them to form a triangle. Each row will have one fewer than the row below it. How ma

ny cubes will be in the bottom row??

2 answers:

RideAnS [48]3 years ago

8 0

There would be seven cubes on the bottom row

krek1111 [17]3 years ago

3 0

Seven cubes on the bottom row

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$FJ=18\ units$

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see the attached figure to better understand the problem

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

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so

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3 years ago

Sodium-24 has a half-life of 15 hours. how many grams of a 900 g sample will remain after 90 hours

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Answer: Option 'B' is correct.

Step-by-step explanation:

Let the initial concentration be

$N_0=900\ g$

Let concentration after t= 90 hours be N

Since we have given that Sodium-24 has a half life of 15 hours i.e.

$t_{\frac{1}{2}}=15$

So, According to question,

$\text{ Number of half lives }=\frac{t}{t_{\frac{1}{2}}}\\\\\text{ Number of half lives }=\frac{90}{15}\\\\\text{ Number of half lives }=6$

As we know that

$\frac{N}{N_0}=(\frac{1}{2})^n\\\\N=N_0\times (\frac{1}{2})^n\\\\N=900\times (\frac{1}{2})^6\\\\N=\frac{900}{64}\\\\N=14.0625\ g$

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3 years ago