Suppose f(x)=−2x^2+x−2 . Compute the following:
2 answers:
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Answer:
915 in²
Step-by-step explanation:
The area of the rectangle :
Length = 32 inches
Width = 25 - (10+10) = 25 - 20 = 5 inches
Area of rectangle = Length * width
Area = 32 * 5 = 160 in²
Area of triangle :
Base = 25 inches
Height = (46 - 32) inches = 14 inches
Area of triangle = 1/2 * base * height
Area of triangle = 1/2 * 25 * 14 = 175 in²
Total area = (160 + 175)in² = 335 in²
Total area of cardboard :
50 inches * 25 inches = 1250 in²
Amount of cardboard not used :
(1250 - 335) in² = 915 in²
Let the kite is the quadrilateral ABCD with the two pairs of adjacent congruent sides. (the diagram is also attached)
<span>Now, its given in question, see from figure,
AB is congruent to AD </span>
BC is congruent to DC
Now, let us join the points A & C to form AC ; and points B and D to form BD.
So, AC is common side to triangles ABC and ADC.
So, Because AB ≈AD
BC ≈ DC
And, AC is common, therefore,
<span>triangle ABC is congruent to triangle ADC
</span>
⇒∠ ABC ≈ ∠ADC (These are the angles between the non-congruent sides)
<span>Now, its given in question, see from figure,
AB is congruent to AD </span>
BC is congruent to DC
Now, let us join the points A & C to form AC ; and points B and D to form BD.
So, AC is common side to triangles ABC and ADC.
So, Because AB ≈AD
BC ≈ DC
And, AC is common, therefore,
<span>triangle ABC is congruent to triangle ADC
</span>
⇒∠ ABC ≈ ∠ADC (These are the angles between the non-congruent sides)