Answer:
Exact form: 32977/100
Decimal form: 829.77
Mixed number form: 829 77/100
Step-by-step explanation:
Answer:
The chef uses 5452.8 grams of butter each day.
Step-by-step explanation:
Given:
Chef use 12 pounds of butter each day.
To find the amount of butter in grams used by chef each day.
Conversion units:
1 pound = 16 ounces
1 ounce = 28.4 grams
Solution:
We need to convert 12 pounds of butter in grams of butter.
We will apply unitary method to carry out the conversion.
If 1 pound = 16 ounces
Then, 12 pounds = 
If 1 ounce = 28.4 grams
Then, 192 ounces = 
Thus, the chef uses 5452.8 grams of butter each day.
Answer:
Option B. Cosec θ = –5/3
Option C. Cot θ = 4/3
Option D. Cos θ = –4/5
Step-by-step explanation:
From the question given above, the following data were obtained:
Tan θ = 3/4
θ is in 3rd quadrant
Recall
Tan θ = Opposite / Adjacent
Tan θ = 3/4 = Opposite / Adjacent
Thus,
Opposite = 3
Adjacent = 4
Next, we shall determine the Hypothenus. This can be obtained as follow:
Opposite = 3
Adjacent = 4
Hypothenus =?
Hypo² = Opp² + Adj²
Hypo² = 3² + 4²
Hypo² = 9 + 16
Hypo² = 25
Take the square root of both side
Hypo = √25
Hypothenus = 5
Recall:
In the 3rd quadant, only Tan is positive.
Therefore,
Hypothenus = –5
Finally, we shall determine Sine θ, Cos θ, Cot θ and Cosec θ to determine which option is correct. This can be obtained as follow:
Opposite = 3
Adjacent = 4
Hypothenus = –5
Sine θ = Opposite / Hypothenus
Sine θ = 3/–5
Sine θ = –3/5
Cos θ = Adjacent / Hypothenus
Cos θ = 4/–5
Cos θ = –4/5
Cot θ = 1/ Tan θ
Tan θ = 3/4
Cot θ = 1 ÷ 3/4
Invert
Cot θ = 1 × 4/3
Cot θ = 4/3
Cosec θ = 1/ Sine θ
Sine θ = –3/5
Cosec θ = 1 ÷ –3/5
Invert
Cosec θ = 1 × –5/3
Cosec θ = –5/3
SUMMARY
Sine θ = –3/5
Cos θ = –4/5
Tan θ = 3/4
Cot θ = 4/3
Cosec θ = –5/3
Therefore, option B, C and D gives the correct answer to the question.
33 divided by 3 is 11 plus 10 is 21 so your answer is 21:)
Perimeter of a square=4 x side
Data:
Perimeter=240 in
Then:
240 in=4* side
side=240 in/4
side=60 in.
answer: The lenght of one side of Steve´s dog pen is 60 in.