Answer:
19.72 ft
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation between angles and sides of a right triangle:
Tan = Opposite/Adjacent
Then the relations in the attached drawing are ...
tan(α) = 42/73
tan(α +10.3°) = (42 +SH)/73
Solving the first equation for α, we get ...
α = arctan(42/73)
Solving the second equation for SH, we get ...
73 tan(α +10.3°) = 42 +SH
SH = 73·tan(arctan(42/73) +10.3°) -42 = 73·tan(29.91°+10.3°) -42
SH = 73·0.84547 -42 = 19.720 . . . . feet
The height of the statue is about 19.72 feet.
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For more, see brainly.com/question/13065709
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I will rewrite the question for better understanding:
Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of samples in her neighborhood. It takes Ashley 2/3 of a minute to prepare one bag. It takes each of her friends 75% longer to prepare a bag. How many hours will it take Ashley and 4 of her friends to prepare 1575 bags of samples?
Answer:
- <em><u>5.3 hours</u></em>
Explanation:
<u>1) Time it takes Ashley to preprate one bag: </u>
<u>2) Time it takes each friend of Ashley: 75% more than 2/3 min</u>
- 75% × 2/3 min = 0.75 × 2/3 min = 3/4 × 2/3 min= 2/4 min = 1/2 min = 0.5 min
- 2/3 min + 1/2 min = 7/6 min
<u>3) Time it takes Ashley and the 4 friends working along to prepare one bag:</u>
- Convert each time into a rate, since you can set that the total rate of Ashley along with her four friends is equal to the sum of each rate:
- Rate of Ashley: 1 bag / (2/3) min = 3/2 bag/min
- Rate of each friend: 1 bag / (7/6) min = 6/7 bag/min
- Rate of Ashley and 4 friends = 3/2 bag/min + 4 × 6/7 bag/min = (3/2 +24/7) bag/min = 69/14 bag/min
<u>4) Time of prepare 1575 bags of samples:</u>
- time = number of bags / number of bags per min = 1,575 bags / (69/14) bags/min = 319.56 min
<u>5) Convert minutes to hours:</u>
- 356.56 min × 1 hour / 60 min = 5.3 hours
Caroline should have thought of what she wanted to do first. That way, it reduces Caroline's percentage.
Answer:
Choice 3
Step-by-step explanation:
Using V = πr^2 h
Choice 1. π2^2x6 = 75.4
Choice 2. π2.5^2x5 = 98.17
Choice 3. π3^2x4 = 113.1
Choice 4. π3.2^2x3 = 96.51
