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tino4ka555 [31]
3 years ago
15

An acute triangle has side lengths 21 cm, x cm, and 2x cm. if 21 is one of the shorter sides of the triangle, what is the greate

st possible length of the longest side, rounded to the nearest tenth?
Mathematics
2 answers:
madam [21]3 years ago
8 0

Given that the sides of the acute triangle are as follows:
21 cm
x cm
2x cm

Stated that 21 cm is one of the shorter sides of the triangle2x is greater than x, so it follows that 2x MUST be the longest side


For acute triangles, the longest side must be less than the sum of the 2 shorter sides
Therefore, 2x < x + 21cm
2x – x < 21cm
x < 21cm

If x < 21cm, then 2x < 42cm
Therefore, the longest possible length for the longest side is 42cm
sesenic [268]3 years ago
7 0

Answer:

C. 42.0

Step-by-step explanation:

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kykrilka [37]

Answer:

false

Step-by-step explanation:

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the equation y = 1/2x - 5 does not follow this therefore the answer is false

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8 0
2 years ago
The Graduate Management Admission Test (GMAT) is a standardized exam used by many universities as part of the assessment for adm
IgorC [24]

Answer:

16.7% of GMAT scores are 647 or higher

Step-by-step explanation:

The Empirical Rule states that 68% of the values are within 1 standard deviation of the mean(34% above, 34% below). It also considers that 50% of the values are above the mean and 50% are below the mean.

In this problem, we have that the mean \mu is 547 and that the standard deviation \sigma is 100.

a. What percentage of GMAT scores are 647 or higher?

647 is 1 standard deviation above the mean.

So, 50% of the values are below the mean. Those scores are lower than 647.

Also, there is the 34% of the values that are above the mean and are lower than 647.

So, there is a 50% + 34% = 84% percentage of GMAT scores that are 647 or lower.

The sum of the probabilities must be 100

So, the percentage of GMAT scores that are 647 or higher is 100% - 84% = 16%.

3 0
3 years ago
Genevieve is 3 years older than twice her brother’s age. Genevieve is 21 years old. Write an equation to find her brother’s age.
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Answer:

her brother is 9

Step-by-step explanation:

21-3=18   18 divided by 2 = 9

7 0
2 years ago
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