The answer is: " 2291 units " .
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Explanation:
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Formula for "Area of a trapezoid" :
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Area = (1/2) * (base length 1 + base length 2) * height;
or: A = (1/2) * (b + B) * h.
We are missing the value for "b" one of the base lengths.
However, since: A = 68² (given) ; B (the other base length) = 21; and the perpendicular height, "h" = 4 ; we can plug this values into the formula, and solve for "b" ;
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A = (1/2) * (b + B) * h ; ↔ 68² = (1/2) * (b + 21) * 4 ;
↔ <span>4624 = 2 (b + 21) = 2b + 42 ;
</span> ↔ <span>4624 = 2b + 42 ;
</span> ↔ <span>2b + 42 = 4624 ;
Subtract "42" from each side of the equation:
2b + 42 - 42 = 4624 - 42 ;
to get: 2b = 4582 ;
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Now, divide each side of the equation by: "2" ; to isolate "b" on one side of the equation; and to solve for "b" ;
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2b / 2 = 4582 / 2 ;
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to get: b = 2291 units.
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A. has mass and takes up space :)
Answer:
y = 4
Step-by-step explanation:
- A line parallel to the x-axis has the same value of the <em>dependent variable (y)</em> for all the values of the <em>independent variable (x)</em>. Hence, the line would be an <u>horizontal line that passes through the y-axis and never meets the x-axis</u>. Since this line satisfies the condition of passing through the coordenates (x,y), (-6,4), then the equation is equal to the value of the coordinate y.
Therefore, the equation of a line that satisfies these two conditions is <em>y = 4</em>.
Answer: 125
Step-by-step explanation:
5^3=5*5*5=125
-5^3=(-5)*(-5)*(-5)=25*(-5)=-125
<span>There are 4 main transformations: Rotation, Translation, Dilation and Reflection. Reflection is a transformation: flipping an object about a line. Reflection is distance-preserving transformation. The image has the same size as the original image ( in this case: ABC = A`B`C` ).The central line is called mirror line and here it is line BC. Answer: B. Reflection over segment BC.</span>
