Answer:
<u>3.7</u>
Step-by-step explanation:
<u>Given</u>
- sin²θ + cos²θ = 1
- sinθ = 0.27
<u>Solving for cos</u>θ
- cos²θ = 1 - sin²θ
- cos²θ = 1 - (0.27)²
- cos²θ = 0.0729
<u>Finding tan</u>θ
- tanθ = sinθ / cosθ
- tanθ = 0.27 / 0.0729
- tanθ = <u>3.7</u>
<u>Verifying it lies in the range</u>
- θ = tan⁻¹ (3.7)
- θ = 74.88°
- Range is : 0 < θ < π/2 [or 0 < θ < 90°]
- It lies in the range [Verified]
It would be B because you would take amelias age and take two away since todd is five years younger to get the a-5.
hope this helps :)
Answer:
- a) $56000
- b) DA = 2, GA = 10
Step-by-step explanation:
<u>Given</u>
- DA = A + B ⇒ $3000
- GA = A + 2B ⇒ $5000
- Number of A = 12
- Number of B = 22
<u>We can see from the equations that</u>
- GA - DA = B ⇒ $2000 and
- A = $1000 and B = $2000 in terms of profit
<u>So greater use of unit B brings greater profit. We don't want any unit is left over, so get this equation.</u>
Is the equation set to indicate use of the units A and B
<u>Solving we get </u>
<u>It this case all the units are used and profit is maximum</u>
- 2*$3000 + 10*$5000 = $56000
- Number of DA = 2
- Number of GA = 10
Answer:
23 pretzels
Step-by-step explanation:
The range value is obtained by taken the difference between the maximum and minimum values ;
The range = maximum - minimum
From the box and whisker plot attached ; the maximum value = 68
Minimum value = 45
Hence, the range in the number of pretzels :
68 - 45 = 23
