Answer:
170°
Step-by-step explanation:
Let a be the distance from Los Angeles to Chicago = 1744 miles, b be the distance from Chicago to New York = 714 miles and c be the distance from New York to Los Angeles = 2451 miles.
A is the angle opposite to side a, B is the angle opposite to side b and C is the angle opposite to side c.
Therefore the angle at Chicago is C.
From cosine rule:
c² = a² + b² - 2ab × cos (C)
2ab × cos (C) = a² + b² - c²
cos (C) = (a² + b² - c²) / 2ab
Substituting:
cos (C) = (1744² + 714² - 2451²) / 2×1744×741
cos (C) = -0.986
C = cos⁻¹ (- 0.986) = 170°
<u>The correct answer</u> is:
4.
Explanation:
In scientific notation, we place the decimal behind the first non-zero digit in the number. For 75,200, this is 7.
We then count the number of places we must move the decimal to place it here. In this problem, we move the decimal 4 places. This is the exponent for 10.
Hello:
Use implicit differentiation : <span>y sin 12x = x cos 2y
y' sin12x+12ycos12x =cos2y -2x y'sin2y
when : x = </span>π/2 and y =π/4<span>
</span>y' sin12(π/2) +12(π/4)cos12(π/2) =cos2(π/4) -2(π/2) y'sin2(<span>π/4)
</span>y' sin(π/6) +(π/3)cos(π/6) =cos(π/2) - π y'sin(π/2)
y' (1/2) +(π/3)(√3/2) = - π
y' (1/2) =-(π/3)(√3/2) - π
y' = -π (1+√3)/3
an equation of the tangent line is : y- π/4 = ( -π (1+√3)/3)(x-<span>π/2)</span>
Answer:
6 work out sessions
Step-by-step explanation:
From the above question, we know that:
Jasmine has a goal to workout a total of at least 6 hours this week.
Her workout sessions are always 3/4 an hour long.
Hence: Her total workout sessions
3/4 hour = 1 workout session
6 hours = x
Cross Multiply
3/4 × x = 6 × 1
x = 6/3/4
x = 6 ÷ 3/4
x = 6 × 4/3
x = 8 work out sessions
We are told that:
She already worked out for 1 1/2 hours.
Hence: if :
3/4 hour = 1 workout session
1 1/2 hours = x
Cross Multiply
3/4 × x = 1 1/2
x = 1 1/2 ÷ 3/4
x = 3/2 ÷ 3/4
x = 3/2 × 4/3
x = 2 work out sessions
Therefore:
the minimum number of workout sessions she would need to complete in order to achieve her weekly goal is calculated as:
8 work out sessions - 2 work out sessions
= 6 work out sessions
Converting this to workout sessions
