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nalin [4]
3 years ago
5

The sides of a triangle measure 7, 4 and 9. If the longest side of a similar triangle measures 36, what is the length of the sho

rtest side of this triangle?
Mathematics
1 answer:
Arada [10]3 years ago
7 0

Answer:

16

Step-by-step explanation:

OK, this might sound a bit confusing but I'll give it my best shot.

1. We know all the sides of one triangle, the smaller one. We know that the largest side of the large triangle is 36, and the largest side of our small triangle is 9. This means that they are related.

2. If we take 36 and divide by 9, it gives us 4. This number tells us how much bigger the large triangle is compared to the smaller triangle.

3. Now, we can take the number we just got, 4 and use it to find the other sides of the large triangle.

4. We need the smallest side of the large triangle. We can get this by taking the smallest side of the small triangle, and multiplying it by 4, since we know that the big triangle is 4 times larger than the small one.

5. 4 is the smallest side of the small triangle. We can multiply by 4, which is 16, and your answer!


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Stan guessed on all 10 questions of a multiple-choice quiz. Each question has 4 answer choices. What is the probability that he
algol13

ANSWER
0.756

EXPLANATION

Let x represent number of correct answers.

We can find

   P(x = 0 \text{ or } x = 1)

which leads us to

   P(x\ge 2) = 1 - P(x = 0\text{ or }x = 1)

which uses the compliment of P(x = 0\text{ or }x = 1) to find the probability of getting at least 2 questions correct.

Note that since P(x=0) and P(x=1) are mutually exclusive, we have

   P(x = 0\text{ or }x = 1) = P(x=0) + P(x=1)

Then P(x=0) = 3^{10}/4^{10} = (3/4)^{10} as we have 3^{10} to answer the questions incorrectly divided by the total 4^{10} to answer the questions.

Exactly 1 answer correct: P(x=1) = {}_{10}C_1 \cdot(3/4)^9(1/4)^1

Therefore

   \begin{aligned}
P(x \ge 2) &= 1 - P(x = 0\text{ or }x =1) \\
&=1 - \big[P(x=0) + P(x=1)\big] \\
&=1 - \left[ (3/4)^{10} + {}_{10}C_1 \cdot (3/4)^9(1/4)^1 \right] \\
&\approx 0.756
\end{aligned}

4 0
3 years ago
Read 2 more answers
Which expression is equivalent ?
muminat

Answer:

Step-by-step explanation:

the given expression is equivalent to (-9/4) / [-2/3]  =  (-9/4)*(3/2) = 27/8

8 0
3 years ago
Please Help Quickly!
marin [14]

He spent $14.44 more on groceries this week than last week

<h3>How to determine the additional amount that was spent this week?</h3>

From the question, the given parameters are

Amount spent last week = $58.34

Amount spent this week = $72.78

The additional amount that was spent at the grocery store this week is calculated by subtracting the amount spent this week from the amount spent last week

This is represented as

Additional amount = Amount spent this week - Amount spent last week

Substitute the known values in the above equation

So, we have

Additional amount = 72.78 - 58.34

Evaluate the difference

Additional amount = 14.44

Hence, an additional of $14.44 was this week

Read more about difference at

brainly.com/question/28643850

#SPJ1

3 0
1 year ago
Simplify 3 1/4 ÷ 5/6<br><br> 6/5<br> 1 1/5<br> 5/6<br> 8/15
marishachu [46]

Answer:

Exact Form:

39 /10

Decimal Form:

3.9

Mixed Number Form:

3   9/10

Step-by-step explanation:

4 0
3 years ago
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Select all the steps to apply when adding mixed numbers
Anika [276]

Answer:

1) Find the Least Common Denominator (LCD)

2) Find the equivalent fractions.

3) Add or subtract the fractions and add or subtract the whole numbers.

4) Write your answer in lowest terms.


3 0
3 years ago
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