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Answer:
100.27 ft^2
Step-by-step explanation:
The area of each square is ...
A = s^2 = (6 ft)^2 = 36 ft^2
The area of the 1/4 circle is ...
A = 1/4πr^2 = 1/4π(6 ft)^2 = 9π ft^2 ≈ 28.27 ft^2
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The area of the garden is the sum of the areas of the quarter circle and the two squares:
A = 28.27 ft^2 + 2×36 ft^2 = 100.27 ft^2
The area of the garden is about 100.27 square feet.
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Answer:
x=5
Step-by-step explanation:
Congruent triangles mean they have the same side lengths, so the equation here is x^2-7=4x-2. Then, solve the quadratic equation:
x^2-7=4x-2
x^2-4x-5=0
(x-5)(x+1)=0
x=5,-1
Since a side of a triangle can't be negative, the answer is 5.
Answer: the cost of one package of macadamia nut chip cookie dough is $1.5
the cost of one package of triple chocolate cookie dough is $2.5
Step-by-step explanation:
Let x represent the cost of one package of macadamia nut chip cookie dough.
Let y represent the cost of one package of triple chocolate cookie dough.
Mrs. Julien’s class sold 25 packages of macadamia nut chip cookie dough and 30 packages of triple chocolate cookie dough for a total of $112.50. This means that
25x + 30y = 112.5 - - - - - - - - - - - - -1
Mrs. Castillejo’s class sold 8 packages of macadamia nut chip cookie dough and 45 packages of triple chocolate cookie dough for a total of $124.50. This means that
8x + 45y = 124.5 - - - - - - - - - - -2
Multiplying equation 1 by 8 and equation 2 by 25, it becomes
200x + 240y = 900
200x + 1125 = 3112.5
Subtracting, it becomes
- 885y = - 2212.5
y = - 2212.5/- 885
y = 2.5
Substituting y = 2.5 into equation 1, it becomes
25x + 30 × 2.5 = 112.5
25x + 75 = 112.5
25x = 112.5 - 75 = 37.5
x = 37.5/25 = 1.5
The method used is the elimination method. It is more convenient to use.
Answer:
what?
Step-by-step explanation:
STOP WITH THESE