Answer:- 1. True. A compass serves the purpose of drawing circles and arcs in geometric constructions.
2. False. A standard geometric construction necessitates the use of a straightedge, compass, and pencil, among other tools, to accurately draw a geometric figure.
3. True. Geometric constructions are crafted using a compass and straightedge.
4. True. Protractors assist in geometric constructions for measuring angles, while rulers are employed to gauge segment lengths.
Answer:
He is dividing the angle BAC into two equal parts.
Step-by-step explanation:
Initially, he places the compass at point A and draws two small arcs intersecting points D and E. Next, setting the compass at D and then at E, he draws two arcs that intersect between the line segments AB and AC.
The bisecting line is drawn from point A through the intersection of these arcs.
Response:
Step-by-step explanation:
Information given:
Objective:
Calculate the maximum and minimum values
The max value is found as follows:
The min value is identified as follows:
Answer:
160/1001, 175/1001
Step-by-step explanation:
i) We calculate:
₈C₁ methods to select 1 new camera from a selection of 8
₆C₃ methods to select 3 refurbished cameras from a selection of 8
₁₄C₄ methods to select 4 cameras from the total of 14 cameras
The probability formula is:
P = ₈C₁ ₆C₃ / ₁₄C₄
P = 8×20 / 1001
P = 160 / 1001
P ≈ 0.160
ii) For at most one new camera, it means we want either one new camera or none at all. We've calculated the probability of selecting one new camera already. The probability of not selecting any new camera is equivalent to selecting 4 refurbished cameras:
P = ₆C₄ / ₁₄C₄
P = 15 / 1001
Therefore, the combined probability is:
P = 160/1001 + 15/1001
P = 175/1001
P ≈ 0.175
In this problem the number we are working with is:
105,159
By definition we note:
thousand place: a five-digit quantity greater than zero.
Moreover, the rounding rule is:
if the digit being removed is 5 or more, increase the kept digit by one.
Therefore, rounding to the nearest ten thousand yields:
105,159 = 110,000
Answer:
105,159 rounded to the nearest ten thousand is:
105,159 = 110,000
