Answer:
(D)The distance between points A and B
Step-by-step explanation:
To copy a segment AB, the first thing is to identify the length of the segment which is the distance between points A and B. It is this distance that will be used to create a new segment at a given point not on the segment.
Midpoints have nothing to do with copying a segment.
<u>The correct option is D.</u>
The bearing of B from C based on the information given will be 40°.
<h3>How to depict the bearing?</h3>
A bearing is an angle measured from the North direction clockwise. Notice that the bearing of B from C is 40° because according to the problem, all four points are on level ground, which means they are coplanar, and the angle between the plane and the North is 40°.
The bearing of A from C is also 110° because it's the bearing of C from A and A from C are same-side internal angles between parallels which must sum 180°.
The bearing of D from C is 40° too because that setup is parallel to the bearing of B from C.
Learn more about bearing on:
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Assuming that the units are in cm
Given,
Diameter of the cone = 12 cm
Using the above, the radius of the cone can be determined, which is half the diameter of the cone
∴ Radius of the cone (r) = 12/2 = 6 cm
Height of the cone (h) = 7 cm
Using the above, slant height (s) = √(r² + h²) = √(6² + 7²) = √36 + 49 = √85 = 9.22 cm
π = 3.14
Now using the above values, we can calculate the total surface area of the cone.
Total surface area of the cone (A) = Lateral surface area of the cone (L) + Base surface area of the cone (B)
Lateral surface area of the cone (L) = π r s = 3.14 x 6 x 9.22 = 173.70 cm²
Base surface area of the cone (B) = π r² = 3.14 x 6² = 113.04 cm²
Total surface area of the cone = L + B = 173.70 + 113.04 = 286.74 cm²
Answer:
15 oz.
Step-by-step explanation:
<u>Rounding to the nearest ounce:</u>
1<u>4</u>.853
<u>Rounding notes:</u>
If the number one place to the right of the rounding number is greater than 5, the number increases by 1.
If the number one place to the right of the rounding number is less than 5, the number stays the same and anything to the right of the rounding number changes to 0.
<u>Work:</u>
4 represents the 'ounces' place value.
To identify the rounding of 4, we need to determine if the value 8 is greater than 5, or less than 5.
8 > 5, meaning 4 increases to 5.
New rounded number = 15 oz.
Answer:
The probability of eating pizza given that a new car is bought is 0.952
Step-by-step explanation:
This kind of problem can be solved using Baye’s theorem of conditional probability.
Let A be the event of eating pizza( same as buying pizza)
while B is the event of buying a new car
P(A) = 34% = 0.34
P(B) = 15% = 15/100 = 0.15
P(B|A) = 42% = 0.42
P(B|A) = P(BnA)/P(A)
0.42 = P(BnA)/0.34
P(B n A) = 0.34 * 0.42 = 0.1428
Now, we want to calculate P(A|B)
Mathematically;
P(A|B = P(A n B)/P(B)
Kindly know that P(A n B) = P(B n A) = 0.1428
So P(A|B) = 0.1428/0.15
P(A|B) = 0.952
