Answer:
Step-by-step explanation:
Q1
Q2
- b) sin = opposite/hypotenuse
Q3
- Cos A = 0.1908
- A = arccos 0.1908
- A = 79° ⇒ Option c)
Q4
- tan A = 16/19
- A = arctan 16/19
- A = 40° ⇒ Option b)
Answer:
-2 5/12 > -2 3/4
-92 < -15/16
Step-by-step explanation:
Answer:
(-1,0)
Step-by-step explanation:
Given that ;
1 minute= 1 revolution
2minutes=2 revolution
30seconds, 0.5 minutes= 1/2 a revolution
Hence;
2 minutes 30 seconds will be two and a half revolutions
2 minutes will complete 2 revolutions to return to point (1,0), then from (1,0), the carousel proceeds to cover the half revolution and complete 2 minutes and 30 seconds
Note the revolutions will be conducted in anticlockwise direction, so the 1/2 revolution will follow the property of rotation in anticlockwise direction about the origin through 180°, starting from point (1,0)
The property states that a points (h,k) rotated about the origin in anticlockwise direction through 180° will be mapped to (-h,-k)
Hence (1,0) will be mapped to (-1,0)
74.6786 m² is the answer.
Step-by-step explanation:
<u>Step 1</u> :
we know that the diameter (D) of the cookie = 32 ft
Converting dimensions from feet (ft) to meter (m)
1 ft = 0.3048 m
32 ft = 32 × 0.3048
= 9.7536 m
<u>Step 2</u> :
To find the surface area of the cookie we have the formula,
<u> Area (A) = π . r²</u>
Diameter (D) = 32 ft
∴ d = 2r
d/2 = r (radius)
32 ÷ 2 = r
<u> r = 16</u> 16 feet = 4.8768 m
π . r² = 3.14 × (4.8768)² = 3.14 × 23.783
= 74.6786 m²
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Answer: The Answer is d
Step-by-step explanation: if you put the point on the line you will see they line up