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vivado [14]
3 years ago
13

The angle of the elevation of the sun is 34 degrees. Find the length, l, of a shadow cast by a tree that is 53 feet tall. Round

to 2 dp.

Mathematics
1 answer:
gulaghasi [49]3 years ago
8 0
\tan{34^o}= \frac{53}{x} 
\\
\\x= \frac{53}{\tan{34^o}} 
\\
\\x \approx 78.58

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If the sample variance for a frequency distribution consisting of hourly wages was computed to be 10, what is the sample standar
skad [1K]

The sample standard deviation is (B) $3.16.

<h3>What is the sample standard deviation?</h3>
  • The sample standard deviation is defined as the root-mean-square of the differences between observations and the sample mean: A significant deviation is defined as two or more standard deviations from the mean.
  • The lowercase Greek letter (sigma) for the population standard deviation or the Latin letter s for the sample standard deviation is most commonly used in mathematical texts and equations to represent standard deviation.
  • For example, if the sample variance for a frequency distribution of hourly wages is 10 and the sample standard deviation is $3.16.

Therefore, the sample standard deviation is (B) $3.16.

Know more about sample standard deviation here:

brainly.com/question/475676


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The complete question is given below:
If the sample variance for a frequency distribution consisting of hourly wages was computed to be 10, what is the sample standard deviation?

A. $4.67

B. $3.16

C. $1.96

D. $10.00

7 0
2 years ago
What is the approximate value of 113−−−√ to the nearest tenth?
castortr0y [4]

Answer:

10.6

Step-by-step explanation:

1. First, we need to find which digits √(113) is between, and that would be 10 and 11.

2. Okay, so √(113) is between 10 and 11, meaning 113 is between 100 and 121.

3. Since 113 is a little over half between 100 and 121, let's multiply 10.6 by 10.6 to see how close we are to 113:

  • 10.6 * 10.6
  • 112.36

4. 112.36 is pretty close to 113, therefore, the dot on the number-line should be placed at 10.6.

7 0
3 years ago
Write and solve an equation to find the value of x and the missing angle measures
Alinara [238K]

Answer:

85 degrees

Step-by-step explanation:

its really easy just make them equal to eachother and then solve

9x + 13 = 11x-3

-11x (subtract because 11x is positive)

-2x +13 = -3

-13 (subtract because 13 is positive)

-2x = -16

divide both sides by -2

x= 8

substitute 8 for the x's and you have your answer

8 0
3 years ago
Given the speeds of each runner below, determine who runs the fastest.
Lesechka [4]

Answer:

Debbie runs 9 feet per second: 9 ft/s

Jessica runs 1 mile  in 440 seconds: 414/50 ft/s = 207/25 ft/s = 8 7/25 ft/s

jesssica runs 131 feet in 10 seconds: since 1 mile = 5280 ft we have 1/470 mi/s = 5280/470 ft/s = 528/47 ft/s = 11 11/47 ft/s

ron runs 603 feet in 1 minute: 547 ft/min = 603/60 ft/s = 201/20 ft/s = 10 1/20 ft/s

Since:

11 11/47 > 10 1/20 > 9 > 8 7/25

Emily runs the fastest.

7 0
3 years ago
A truck travels from a factory to a gas station in 2 minutes. It stops at the gas station for 5 minutes. The truck then returns
guapka [62]

Answer:

caluta the answer

Step-by-step explanation:

x=16

6 0
3 years ago
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