At a particular time, objects and their shadows are proportionate.
Therefore, in figure,
--- (1)
where AB is the height of the lighthouse, BC, its shadow and FD is the height of Zara and DE is her shadow.
From the given information,
BC = 36 feet
FD = 4 feet and DE = 3 feet
(1) becomes
AB = 48
Hence, the height of the lighthouse is 48 feet.
Answer:
A: The transformations are a rotation and a translation.
Step-by-step explanation:
The function f(x) is shown in the attachment as a dashed red line. The function g(x) is shown as the blue line.
The two lines have different slopes. The change in slope can be accomplished by horizontal or vertical scaling, or by rotation. The offered answer choices only include <em>rotation</em> as an option for changing the slope.
The two lines have different intercepts. To move the line from one intercept to another, generally translation is involved.
The simplest transformation is rotation and translation.
_____
<em>Comment on the answer choices</em>
If the reflection is done across a line other than an axis, or if the rotation is done about a point other than the origin, then <em>any combination of rotation, reflection, and translation can be used to make the transformation seen</em>. (Translation alone is not sufficient.)
For example, reflecting the line across the bisector of the angle between the lines (a line with a slope of (√13 -2)/3 through (5, 5)) will give the desired transformation in one step.
Similarly, a rotation of about 33.69° about the point (5, 5) will give the transformation in on step. (That angle is 45°-arctan(1/5).)
Both the sample can be used to make inferences about the population.
The correct option is D.
Given
Jason and Yolanda both drew a simple random sample from a non-normally distributed population of 25,000.
Jason’s sample consisted of 0.24% of the population, while Yolanda’s sample consisted of 0.32% of the population.
<h3>Percentage;</h3>A percentage is a number or ratio that can be expressed as a fraction of 100.
According to the question
Total number of population = 25000
Percent of a sample of Jason = 0.24%
Percent of the sample of Yolanda's = 0.32%
So, the number of the population according to Jason's sample is given by;
The number of the population according to Yolanda's sample is given by;
Hence, Both the sample can be used to make inferences about the population
To know more about the percentage click the link given below.