Answer:
2√2 / 3 (first answer choice)
Step-by-step explanation:
If tan Ф < 0, then Ф must be in either Quadrant II or Quadrant IV.
If sin Ф = +1/3, then Ф (for this problem) is in Quadrant II.
Remembering that sin Ф = opp / hyp = 1 / 3, we use the Pythagorean Theorem to find the adj side:
adj² + 1² = 3², or
adj² + 1 = 9, or adj² = 8. Since Ф is in Quadrant II, adj is negative.
The value of cos Ф = adj / hyp = √8 / 3 = 2√2 / 3
The van needs 21 gallons of gas. Take 16/(320/420)
Answer: The answer is 715 minutes more.
Step-by-step explanation:
1500-785=715
Double check::::::::::::
715+785=1500
Total heads = 10
Total legs = 26
Cat = 4 legs
Birds = 2 legs
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Assumed all birds :
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Total legs = 10 x 2 = 20
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Difference in legs :
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26 - 20 = 6
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Difference in legs between the two animals:
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4 - 2 = 2
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Find number of cats :
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6 ÷ 2 = 3
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Find number of birds :
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10 - 3 = 7
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Answer: There are 3 cats and 7 birds.
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Area of a circle is computed by multiplying pi to the square of the circle's radius.
A = πr²
50m² = 3.14 r²
50m²/3.14 = r²
r² = 15.92m²
r = √15.92m²
r = 3.99m
Diameter is computed by multiplying the radius twice.
d = 2r
d = 2(3.99m)
d = 7.98m or rounded up to 8 m
