A park has a large circle painted in the middle of the playground area. The circle is divided into 4 equal sections, and each se
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Answer: The correct option is A, i.e., 7.5.
Explanation:
It is given that ABC is a triangle and BD is an altitude.
Since BD is an altitude, therefore the height of the triangle is BD and the base of the triangle is AC.
The distance formula to find the distance between two points is,
First, we find BD, where B(-1,4) and D(2,4).
So, the height of the triangle is 3.
Now, we find the value of AC, where A(2,1) and C(2,6).
So, the base of the triangle is 5.
The formula to find the area of a triangle is,
Therefore, the area of the triangle is 7.5 unit square and the correct option is A.
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Answer:
- white chocolate chip: $17
- gingerbread: $19
Step-by-step explanation:
We can let x and y represent the costs of packages of white chocolate chip and gingerbread cookie dough, respectively. Then the two sales can be represented by ...
11x +2y = 225
8x +10y = 326
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There are several ways a system of equations like this can be solved. One of my favorites is to use a graphing calculator (see attached).
We can also use substitution. We see that the coefficients of y are simply related, so we can use ...
2y = 225 -11x . . . . from equation 1
8x +5(2y) = 326 . . . rearrange equation 2
8x +5(225 -11x) = 326 . . . . substitute for 2y
-47x +1125 = 326 . . . . simplify
799 = 47x . . . . . . . add 47x-326
17 = x . . . . . . . . . . . divide by 47
2y = 225 -11(17) = 38
y = 19 . . . . . . divide by 2
The package costs are ...
white chocolate chip dough: $17
gingerbread dough: $19.
