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lakkis [162]
3 years ago
9

Marcos is flying a kite 35 feet above an oak tree. The angle of elevation to the top of the tree is 16 degrees and the angle of

elevation to the kite is 25 degrees. What id the distance, b, to the nearest foot marcos is standing from the tree?
Mathematics
1 answer:
Elza [17]3 years ago
3 0

9514 1404 393

Answer:

  195 ft

Step-by-step explanation:

The relationship between the horizontal distance, angle, and vertical height is given by ...

  Tan = Opposite/Adjacent

Referring to the attached diagram, we have ...

  tan(16°) = BT/MB

  tan(25°) = BK/MB

Solving for BT and BK, we can describe their difference as ...

  BT = MB·tan(16°)

  BK = MB·tan(25°)

  BK -BT = 35 = MB(tan(25°) -tan(16°))

Dividing by the coefficient of MB gives ...

  MB = 35/(tan(25°) -tan(16°)) = 35/0.179562

  MB = 195 . . . feet

Marcos is standing 195 feet from the base of the tree.

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In a city, 35% of the bus riders with a monthly pass are students. in a random sample of 50 bus riders with monthly passes, 23 a
inessss [21]

Answer:

ρ = 35% or 0.35

ρ with ^ = \frac{23}{50}=0.46 or equivalently 46%

Step-by-step explanation:

ρ represents the population proportion of the bus riders, with a monthly pass, who are students.

The population proportion is simply the percentage of the entire population with a particular characteristic. We have been informed that in a city, 35% of the bus riders with a monthly pass are students. This means that 35% of the whole population of bus riders with a monthly pass are students. Therefore, our ρ is simply 35% or 0.35.

ρ with ^ represents the sample proportion of the bus riders, with a monthly pass, who are students. This is a statistic or an estimator as it is normally used to estimate the value of ρ, the population proportion. It is calculated using the formula;

ρ with ^ = \frac{x}{n}

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Using the above formula and the values given we have;

ρ with ^ = \frac{23}{50}=0.46 or equivalently 46%

3 0
3 years ago
Can someone help me with these please.
ELEN [110]

Answer: Barbara did not include a variable in the term 1.49, which must represents the number of bottles of iced tea she needs to sell.

Step-by-step explanation:

Let be "x" the number of bottle of water Barbara needs to sell and "y"  the number of bottle of iced tea she needs to sell.

She sells iced tea for $1.49 per bottle and water for $1.25 per bottle, so she can write the following equation in order to calculate the number of bottles she needs to sell to earn $100:

1.25x + 1.49y = 100

Since Barbara wrote this equation:

1.25x + 1.49 = 100

We can conclude that the error Barbara made in writing the equation was: She did not include a variable in the term 1.49, which must represents the number of bottles of iced tea she needs to sell.

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3 years ago
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Answer:

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