Answer:
Step-by-step explanation:
Given
Since, she wants to buy 50 in total; This can be modeled by:
Considering the budget, we have:
Lastly, we have that
i.e. Chicken = ducks
The dimension of the length and width of the rectangle with the given perimeter are 33ft and 16.5ft respectively.
<h3>What are the dimensions of the rectangle?</h3>
Perimeter of rectangle is expressed as;
P = 2( l + w )
Given that;
- Perimeter P = 99ft
- Let width w = x
- Length l = 2x
We substitute into the formular above.
P = 2( l + w )
99ft = 2( x + 2x )
99ft = 2x + 4x
99ft = 6x
x = 99ft/6
x = 16.5ft
Width = x = 16.5ft
Length = 2x = 2( 16.5ft ) = 33ft
Therefore, the dimension of the length and width of the rectangle with the given perimeter are 33ft and 16.5ft respectively.
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Answer:
The answer to your question is letter c and d.
Step-by-step explanation:
A. 15 × 9 = 135 and 135 – 75 = 60 This answer is not correct because it is not necessary to multiply the # members by the cost of each tree, the answer is incorrect.
B. 3 × 15 = 45 and 45 + 15 = 60 This answer is incorrect because it's using a number 3 that is not part of the data.
C. 45 ÷ 9 = 5 and 5 × 15 = 75
. This answer is correct, first finds the number of tree bought by each member and after that multiply it by the cost of each tree.
D. 45 × 15 = 675 and 675 ÷ 9 = 75 This answer is correct, first found the total cost and after divide it by the number of members.
Since cosine is negative in the second and 3rd quadrant, the required angles are 120 and 240 degrees
<h3>Trigonometry identity</h3>
Trigonometry identities are expressed as a function of cosine, sine and tangent.
Given the trigonometry expression shown
4cos2θ+9=−14cosθ
Equate to zero
4cos2θ+9 + 14cosθ = 0
According to trig identity
cos2θ = 2cos²θ - 1
Substitute to have:
4(2cos²θ - 1)+9 + 14cosθ = 0
Expand
8cos²θ - 4 + 9 + 14cosθ = 0
8cos²θ+ 14cosθ + 5 = 0
let P = cosθ to have;
8P² + 14P + 5 = 0
Factorize the result
8P² + 10P + 4P + 5 = 0
2P(4P+5)+1(4P+5)=0
(2P+1) = 0 and 4P+5 = 0
2P = -1 and P = -5/4
P = -1/2 and -5/4
Recall that P = cosθ
If P = -1/2
cosθ = -1/2
θ = -60
Since cosine is negative in the second and 3rd quadrant, the required angles are 120 and 240 degrees
Learn more on trigonometry identity here: brainly.com/question/24349828
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6.4 to the nearest whole number is 6
