Step-by-step explanation:
cos θ = 3 / AB
When θ = 28°:
cos 28° = 3 / AB
AB = 3 / cos 28°
AB ≈ 3.4
When AB = 5.2:
cos θ = 3 / 5.2
θ = cos⁻¹(3 / 5.2)
θ ≈ 54.8°
Answer:
50.27 units²
Step-by-step explanation:²
The standard equation of a circle with center at the origin is x² + y² = r², where r is the radius. Substituting 4 for x and 0 for y yields 4² + 0² = r², so we see immediately that r = 4 units.
The formula for the area of a circle is A = πr².
Here, with r = 4, the area is A = π(4 units)² = 16π units², or
50.27 units² to the nearest hundredth.
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Answer:
80
Step-by-step explanation:
28-28=0
0-12= -12
28+12 = 40
28-40 = -12
40 is the increase
40 is half of 80
So, the answer is 80
To check: -12 + 40 (half of a number; 80) = 28
Hope this makes sense. If you require further information, do not hesitate to ask!
The new shower head dispenses 3 gallons of water per minute, as shown in the equation y = 3x.
So, 3 x 8 = 24.
Then, to find out how much he saves each day, you would find how much he used before,
11 x 8 = 88
Next we want to see how much Nathan saved, so we subtract the total,
88 - 24 = 64
Nathan saved 64 gallons.