Answer:
99in squared
Step-by-step explanation:
Bottom square is 3 by 3, middle is 9 by 6, and trapezoid is 9 by 4.
3*3+9*6+9*4 is 99
Hope this helps plz mark brainliest if correct :D
Answer:
The price of adult's ticket is $ 17.73 And
The price of children's ticket is $ 13.85
Step-by-step explanation:
Given as :
The Prices for adult ticket and child ticket in the city zoo is different
Let the price for adult's ticket = $ A
And The price for child's ticket = $ C
Now, according to question :
3 A + 2 C = $ 80.89 And
2 A + 3 C = $ 77.01
Now solve the both equation
So, 2 × (3 A + 2 C) = 2 × $ 80.89 And
3 × (2 A + 3 C) = 3 × $ 77.01
I.e
6 A + 4 C = $ 161.78 And
6 A + 9 C = $ 231.03
Now, ( 6 A + 9 C ) - ( 6 A + 4 C ) = $ 231.03 - $ 161.78
Or, 5 C = $ 69.25
Or, C = $ 13.85
And Put the value of C in above any eq
6 A + 4 × ($ 13.85) = $ 161.78
Or, 6 A = $ 161.78 - $ 55.4
Or, 6 A = $ 106.38
∴ A = 
Or, A = $ 17.73
Hence The price of adult's ticket is $ 17.73 And
The price of children's ticket is $ 13.85 Answer
The equation of the ellipse in <em>standard</em> form is (x + 3)² / 100 + (y - 2)² / 64 = 1. (Correct choice: B)
<h3>What is the equation of the ellipse associated with the coordinates of the foci?</h3>
By <em>analytical</em> geometry we know that foci are along the <em>major</em> axis of ellipses and beside the statement we find that such axis is parallel to the x-axis of Cartesian plane. Then, the <em>standard</em> form of the equation of the ellipse is of the following form:
(x - h)² / a² + (y - k)² / b² = 1, where a > b (1)
Where:
- a - Length of the major semiaxis.
- b - Length of the minor semiaxis.
Now, we proceed to find the vertex and the lengths of the semiaxes:
a = 10 units.
b = 8 units.
Vertex
V(x, y) = 0.5 · F₁(x, y) + 0.5 · F₂(x, y)
V(x, y) = 0.5 · (3, 2) + 0.5 · (- 9, 2)
V(x, y) = (1.5, 1) + (- 4.5, 1)
V(x, y) = (- 3, 2)
The equation of the ellipse in <em>standard</em> form is (x + 3)² / 100 + (y - 2)² / 64 = 1. (Correct choice: B)
To learn more on ellipses: brainly.com/question/14281133
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Substitute (-1)3-(-1)+(-1)0
multiply (-3)+1+0
simplify. -2
Final Answer: -2