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2 years ago

Both Derek and Sam are 5 feet 10 inches tall. Derek looks at a 10 foot basketball

Mathematics

1 answer:

dusya [7]2 years ago

4 0

Dereck and Sam are standing 3.1 feet apart.

The situation forms two right angle triangle.

<h3>What is a right angle triangle? </h3>

A right angle triangle is a triangle that has one of its angles as 90 degrees.

Derek looks at a 10 foot basketball goal with an angle of elevation of 29°.

Sam looks at the goal with an angle of elevation of 43°.

Sam is directly in front of Dereck. Therefore,

Dereck distance from the base of the basket ball can be found as follows:

tan 29 = opposite / adjacent

opposite side = 10 ft - 5.83 ft = 4.17 ft

tan 29 = 4.17 / x

x = 4.17 / 0.55430905145

x = 7.52287913948

x = 7.523

Sam distance from the base of the basket ball can be found as follows

tan 43 = 4.17 / y

y = 4.17 / 0.93251508613

y = 4.47177752084

y = 4.471

There feet apart = 7.523 - 4.471 = 3.052 = 3.1 feet

learn more on elevation here:brainly.com/question/24442138?referrer=searchResults

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miv72 [106K]

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The slope m is:
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3 years ago

Find irrational number between 5, 25 and 5, 26

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Answer:

The answer is 2.5135145

Step-by-step explanation:

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2 years ago

Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 13. Use the empirical rule

Yuri [45]

Answer:

(a) 68% of people has an IQ score between 87 and 113.

(b) 5% of people has an IQ score less than 74 or greater than 126.

Step-by-step explanation:

Given information:Scores of an IQ test have a bell-shaped distribution,

mean = 100

standard deviation = 13

According to the empirical rule

68% data lies between $\overline{x}-\sigma$ and $\overline{x}+\sigma$ .

95% data lies between $\overline{x}-2\sigma$ and $\overline{x}+2\sigma$ .

99.7% data lies between $\overline{x}-3\sigma$ and $\overline{x}+3\sigma$ .

(a)

$\overline{x}-\sigma=100-13=87$

$\overline{x}+\sigma=100+13=113$

$[\overline{x}-\sigma,\overline{x}+\sigma]=[87,113]$

Using empirical rule we can say that 68% of people has an IQ score between 87 and 113.

(b)

$\overline{x}-2\sigma=100-2(13)=74$

$\overline{x}+2\sigma=100+2(13)=126$

$[\overline{x}-2\sigma,\overline{x}+2\sigma]=[74,126]$

Using empirical rule we can say that 95% of people has an IQ score between 74 and 126.

The percentage of people has an IQ score less than 74 or greater than 126 is

P = 1- percent of people has an IQ score between 74 and 126.

P = 1- 95%

P = 5%

Therefore 5% of people has an IQ score less than 74 or greater than 126.

(c)

$\overline{x}-3\sigma=100-3(13)=61$

$\overline{x}+3\sigma=100+3(13)=139$

$[\overline{x}-3\sigma,\overline{x}+3\sigma]=[61,139]$

Using empirical rule we can say that 99.7% of people has an IQ score between 61 and 139.

The percentage of people has an IQ score less than 61 or greater than 139 is

P = 1- percent of people has an IQ score between 61 and 139.

P = 1- 99.7%

P = 0.3%

The percentage of people has an IQ score greater than 139 is

$P=\frac{1}{2}(0.3\%)=0.15\%$

Therefore 0.15% of people has an IQ score greater than 139.

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3 years ago

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QveST [7]

Answer:

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Step-by-step explanation:

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Sum of the polygon = (5 - 2)*180 = 540°

Therefore, sum of all its interior angles would be:

5x + 150 + (3x - 30) + 70 + (2x - 50) = 540°

Solve for x

5x + 150 + 3x - 30 + 70 + 2x - 50 = 540

Collect like terms

5x + 3x + 2x + 150 - 30 + 70 - 59 = 540

10x + 140 = 540

10x = 540 - 140 (Subtraction property of equality)

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x = 400/10 (division property of equality)

x = 40

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topjm [15]

Answer:

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Step-by-step explanation:

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3 years ago

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