Answer:
Step-by-step explanation:
To determine the area of the logo you have to calculate the area of the triangle and the square that comform it and then add the four areas.
Area of the square.
To calculate the area of the square you have to calculate the square of one of its sides, following the formula:
Where "a" is the length of one of its side.
The side length of the square is a=7cm, so its area will be:
Area of the triangles.
The three triangles are equal, they have a base equal to the side of the square, i.e. with a length of 7cm, and their height is h=4cm.
To calculate the area of one triangle, you have to multiply its base by its height and divide by 2, following the formula:
The area calculated the correspond to one triangle, since all triangles are congruent, you have to multiply the said area by 3 to determine the area of three figures:
Now that the area of all shape are calculated, you have to add them to determine the area of the logo:
Answer:
12 bouquets
Step-by-step explanation:
Let there be x number of roses and x number of tulips initially at the store. Each bouquet was made with 3 roses and 4 tulips. Assume that y bouquets were made in total.
If each bouquet was made with 3 roses and 4 tulips, then y bouquets will be made with 3y roses and 4y tulips.
After the bouquets were all made, there were 30 roses and 18 tulips left in the store. This means, if we subtract number of roses that were used in bouquets from total number of roses, the result must be 30. Likewise, for tulips the result would be 18. This can be represented as:
x - 3y = 30 Equation 1
x - 4y = 18 Equation 2
Subtracting Equation 2 from Equation 1, we get:
x - 3y - (x - 4y) = 30 - 18
x - 3y - x + 4y = 12
y = 12
Since y represents the number of bouquets made, we can conclude that 12 bouquets were made in the store.
Answer:
(c) III
Step-by-step explanation:
If you simplify the equations and the left side is identical to the right side, then there are an infinite number of solutions: the equation is true for all values of x.
Another way to simplify the equation is to subtract the right side from both sides. If that simplifies to 0 = 0, then there are an infinite number of solutions.
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<h3>I. </h3>
2x -6 -6x = 2 -4x . . . . eliminate parentheses
-4x -6 = -4x +2 . . . . no solutions (no value of x makes this true)
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<h3>II.</h3>
x +2 = 15x +10 +2x . . . . eliminate parentheses
x +2 = 17x +10 . . . . one solution (x=-1/2)
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<h3>III.</h3>
4 +6x = 6x +4 . . . . eliminate parentheses
6x +4 = 6x +4 . . . . infinite solutions
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<h3>IV.</h3>
6x +24 = 2x -4 . . . . eliminate parentheses; one solution (x=-7)
Answer: 
Step-by-step explanation:
The area of a triangle can be calculated with the formula:
The base of the triangle is "b" and the height of the triangle is "h",
In the figure you can observe that the base and the height of the triangle are:
Knowing these values, you can substitute them into .
Therefore, the area of the triangle is:
