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40 percent of the ducks included in a certain side effects study were male. If some of the ducks had side effects during the stu

Nezavi [6.7K]

Answer:

12% of male ducks to 42% of female ducks

Step-by-step explanation:

40% of the ducks are male, so 60% are female.

30% of the ducks with side effects are male, so 70% are female

30% of 40% is .3 * .4 = .12 or 12%

70% of 60% is .7 * .6 = .42 of 42%

7 0

3 years ago

Please help meeeeeeeeeeeeeeeeeeeeeeeeeeeee

natulia [17]

Answer:

77 m (nearest metre)

Step-by-step explanation:

Angle of Elevation

If a person stands at a point and looks up at an object, the angle between their horizontal line of sight and the object is called the angle of elevation.

To find how tall the flagpole is, model as a right triangle and solve using the tan trigonometric ratio.

Tan trigonometric ratio

$\sf \\tan(\theta)=\dfrac{O}{A}$

where:

$\theta$ is the angle
O is the side opposite the angle
A is the side adjacent the angle

Given information:

Person height = 1.6 m
Horizontal distance (from person to flagpole) = 35 m
Angle of elevation = 65°

Therefore:

$\theta$ = 65°
O = height of flagpole less height of person
A = 35 m

As the person is 1.6 m tall, we model the line of sight as 1.6 m above ground level. Therefore, when calculating the height of the flagpole, we will need to add the height of the person to the value found using the trig ratio.

Substitute the given values into the formula and solve for O:

$\implies \sf \tan(65^{\circ})=\dfrac{O}{35}$