53 + 44 = 97
180 - 97 = 83
Angle of B is 83 degrees
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Answer:
- tan B = 12/5
- cos B = 5/13
- sin B = 12/13
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the applicable ratios:
Tan = Opposite/Adjacent ⇒ tan B = CA/CB = 12/5
Cos = Adjacent/Hypotenuse ⇒ cos B = BC/BA = 5/13
Sin = Opposite/Hypotenuse ⇒ sin B = AC/AB = 12/13
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Answer:
- 160 yd³ must be hauled
- $520 is the cost
Step-by-step explanation:
There are 3 feet in a yard, so the volume of the hole is ...
(45 ft)/(3 ft/yd) × (16 ft)/(3 ft/yd) × (6 ft)/(3 ft/yd)
= (15 × 16/3 × 2) yd³ = 160 yd³ . . . volume to be hauled
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The cost is $13/(4 yd³), so the total cost will be ...
($13/(4 yd³)) × 160 yd³ = $520 . . . cost of hauling
You will need to run around 10 times because 3000m is 3km and 300*10 is 3000 :) i hope i helped
