Refer to the figure.
Let AB be the height of the pole; CD be the height of the transit; BC is the distance from the base of the pole to the transit.
Triangle ADE is a right triangle with angle D measuring 26 degrees. Using the tangent function, we have
So,
Therefore, the overall height of the pole is
The height of the pole is
66.53 feet.
Answer:
They buy 6 hotdogs and 5 popcorn
Step-by-step explanation:
Assume that they buy x hotdogs and y popcorn
∵ They buy a total of 11 hotdogs and popcorn
∵ The number of hotdogs is x and the number of popcorn is y
∴ x + y = 11 ⇒ (1)
∵ Hot dogs cost $2.50 each
∵ Popcorn costs $1.00 each
∵ They spend $20 on hot dogs and popcorn
→ Multiply x by 2.5 and y by 1, add the products and equate the sum by 20
∴ 2.5(x) + 1(y) = 20
∴ 2.5x + y = 20 ⇒ (2)
Now we have a system of equations to solve it
→ Subtract equation (1) from equation (2)
∵ (2.5x - x) + (y - y) = (20 - 11)
∴ 1.5x + 0 = 9
∴ 1.5x = 9
→ Divide both sides by 1.5 to find x
∴ x = 6
→ Substitute the value of x in equation (1) to find y
∵ 6 + y = 11
→ Subtract 6 from both sides
∴ 6 - 6 + y = 11 - 6
∴ y = 5
∴ They buy 6 hotdogs and 5 popcorn
The sample standard deviation is used to calculate the determine the spread of estimates for a set of observations (i.e., a data set) from the mean (average or expected value).
<h3>What is sample standard deviation?</h3>
The spread of a data distribution is measured by standard deviation. The average distance between each data point and the mean is measured.
The sample standard deviation (s) is a measurement of the variation from the expected values and is equal to the sample variance's square root.
where
s = sample standard deviation
N = the number of observations
= the observed values of a sample item
= the mean value of the observations
Learn more about simple standard deviation, refer:
brainly.com/question/26941429
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Answer:
simplify question is 3a^2 +6a+9ab
Step-by-step explanation: