Answer:
The relationship between the number of cups of water and sugar in the recipe is w = ¹/₃(s)
Step-by-step explanation:
Given;
number of cups of sugar = s
number of cups of water = w
The relationship between the number of cups of water and sugar in this recipe is given as;
½ cup of sugar is proportional to 1 ½ cups of water

Therefore, the relationship between the number of cups of water and sugar in the recipe is w = ¹/₃(s)
Answer:
? = 43.8°
Step-by-step explanation:
cos ? = 13/18 = 0.7222
? = 43.8°
We have,
or more generally,

So using that, we find,
, then collect terms with same exponent and get
.
Answer:
Step-by-step explanation:
- <em>Refer to attached. Point J, segment BJ and angle measures added.</em>
<u>Step 1, find BJ</u>
- BJ / AB = sin 20° ⇒ BJ = AB sin 20° ⇒ BJ = 600 sin 20° ≈ 205.2 ft
<u>Step 2, find BP</u>
- BJ/BP = cos 75° ⇒ BP = BJ / cos 75° ⇒ BP = 205.2/cos 75° ≈ 792.8 ft
<u>Step 3, find PQ</u>
- PQ/BP = sin 35° ⇒ PQ = BP sin 35° ⇒ PQ = 792.8 sin 35° ≈ 454.7 ft
<u>Step 4, find the elevation of peak P</u>
- Height above sea level = 6500 + 454.7 ≈ 6955 ft (rounded)