Answer:
C. The principal randomly selects homeroom classes and surveys each student in the chosen classes.
Step-by-step explanation:
Middle school is 6-8th. Surveying only the eighth-grade students won't give a representative sample of the whole school only the eighth-graders. Option A is incorrect.
Surveying only the students in detention represents a very small amount of students compared to the school, therefore it is not a representative sample. Option B is incorrect.
Yet again, the students in the math club is a small amount of students compared to the school. It does not represent the entire, or majority of the population. Option D is incorrect.
Picking students from homeroom classes and surveying each will give a wider variation of opinions from each grade and therefore a representative sample. Option C is the correct answer.
Answer:
Step-by-step explanation:
PS and RS are tangents to the circle with center T at points P and R. (given)
TP and TR are radii of the given circle.
(radius is perpendicular to the tangent)
In quadrilateral SPTR
By inscribed angle theorem:
![\orange {\bold {m\angle PQR=68\degree}}](https://tex.z-dn.net/?f=%20%5Corange%20%7B%5Cbold%20%7Bm%5Cangle%20PQR%3D68%5Cdegree%7D%7D)
Both positive, so quadrant I
The width of the rectangle is 42.36 in
<h3>Area of a rectangle</h3>
A rectangle is a 2-dimensional shape have 4 sides
The area of a rectangle is expressed as:
A = lw
where:
- l is the length of the rectangle
- w is the width of the rectangle
In order to get the required width, you will;
Substitute the given parameters
![257 \frac{1}{4} = 10 \frac{1}{2} w\\ \frac{1779}{4} =\frac{21}{2} w\\ w = \frac{1779}{4} \times \frac{2}{21}\\ w = 42.36 in](https://tex.z-dn.net/?f=257%20%5Cfrac%7B1%7D%7B4%7D%20%3D%2010%20%5Cfrac%7B1%7D%7B2%7D%20w%5C%5C%20%5Cfrac%7B1779%7D%7B4%7D%20%3D%5Cfrac%7B21%7D%7B2%7D%20w%5C%5C%20w%20%3D%20%5Cfrac%7B1779%7D%7B4%7D%20%5Ctimes%20%5Cfrac%7B2%7D%7B21%7D%5C%5C%20w%20%3D%2042.36%20in)
Hence the width of the rectangle is 42.36 in
Learn more on the area of rectangle here: brainly.com/question/25292087
It takes 8 dozens of flour.
5x4=20 so the person needs 4 times more than 2 dozens. 2x4=8 therefor, the person needs 8 dozens of flour.