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A translation of triangle XYZ is triangle B shifted by 7 units to left.
Given that, triangle XYZ (2, 4), (5, 5) and (3, 0).
<h3>What is translation?</h3>
A translation moves a shape up, down or from side to side but it does not change its appearance in any other way. Translation is an example of a transformation. A transformation is a way of changing the size or position of a shape. Every point in the shape is translated the same distance in the same direction.
We can see from given figure ΔXYZ and the triangle B are alike.
From ΔXYZ translated to triangle B by 7 units left.
Therefore, a translation of triangle XYZ is triangle B shifted by 7 units to left.
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Answer:
Part 1) The area of the structure is
Part 2) The slab will contain of cement
Step-by-step explanation:
Part 1) Find the area of the structure
we know that
The area of the structure is equal to the area of rectangle plus the area of semicircle
<u><em>Find the area of rectangle</em></u>
The area of rectangle is equal to
we have
substitute
<u><em>Find the area of semicircle</em></u>
The area of semicircle is
we have
substitute
<u><em>Find the area of the structure</em></u>
Adds the areas
Part 2) If the structure is 6 in thick, how many cubic feet of cement will the slab contain?
Remember that
Convert inches to feet
<u><em>Find the volume of the structure</em></u>
To obtain the volume , multiply the area by 0.5 ft (thick)
so
55x=330. so x=6 the domain is 6 because its the input and 330 is the range because its the outpt
Answer:
6a^2+108a-10ab-180b
Step-by-step explanation: