Answer: The most significant angle created during his journey appears at the mall, between his house and the library.
Step-by-step explanation:
Hi, since this scenario forms a right triangle (refer to the attached image), the angle between his house and the library measures 90°.
For a right triangle, the total of its internal angles equals 180°, making the right angle (90°) the largest among them.
Thus, the angle at the mall, between his house and the library, is indeed the largest angle formed during his trip.
If you need further clarification or have questions, feel free to ask!
The Law of Sines can be expressed as
b/sin(B) = c/sin(C)
Next, multiply both sides by sin(B).
This leads to b = (c*sin(B))/sin(C)
Thus, the correct response is C.
Answer: C. (c*sin B)/sin C
Lacking information on the proportion, we will assume the sample proportion is 0.50
thus,
p = 0.50
The margin of error is set at 10 percentage points. This indicates that the error on either side of the population proportion is 5%, so E = 0.05
z = 1.645 (Z value for a confidence level of 90%)
The calculation for the margin of error when estimating population proportions follows:
Consequently, 271 students need to be part of the sample.
We understand that
1 foot corresponds to 12 inches.
Step 1
Dimensions of the plywood needed are
(12+3+3) x (18+3+3)------> 18 inches x 24 inches.
Step 2
Convert inches into feet:
18 in-------> 18/12=1.5 ft.
24 in------> 24/12=2 ft.
Step 3
To calculate the area of plywood needed:
A=b*h------> 1.5*2------> A=3 ft².
The final result is
3 ft²
Answer:
(12, 3), (-2, -5), (1, 15)
Step-by-step explanation:
The line may intersect any point where the x-coordinate is positive and the y-coordinate exceeds -1. Such points include...
(12, 3), (1, 15)
The line can also cross any point where the x-coordinate is negative while the y-coordinate is lower than -1. That point is...
(-2, -5)
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In the provided diagram, the lines colored green demonstrate a positive slope, while the red lines do not.
