Question 14(1 point)Find the rate of change of Pete's height from 3 to 5 years.17.Time (years) 123 4 15 16Height/in.) 27 35 37 4
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1 answer:
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Answer:
269.6 square centimeters
Step-by-step explanation:
<u><em>The correct question is</em></u>
The diagram shows the net of a juice box. the box is a rectangular prism. what is the surface area of the juice box? 6.4 cm 4 cm 10.5 cm
we know that
The surface area of a rectangular prism is equal to
where
B is the area of the base
P is the perimeter of the base
H is the height of the prism
we have
<em>Find the area of the base B</em>
substitute the given values
<em>Find the perimeter of the base P</em>
substitute the given values
<em>Find the surface area</em>
substitute
Check the picture below.
now, we know that the slanted legs are congruent, since it's an isosceles trapezoid, we also know that the bases are the parallel sides, so, the "altitude" or distance from those bases are the same length, for each of those triangles in the picture.
now, the bases are parallel, that means the altitude segment is perpendicular to the base, the longest side at the bottom, so, we end up with a right-triangle that has a Hypotenuse and a Leg, equal to the other triangle's.
thus, by the HL theorem for right triangles, both of those triangles are congruent, and if the triangles are congruent, all their sides are also, including the ones on the base.
now, we know that the slanted legs are congruent, since it's an isosceles trapezoid, we also know that the bases are the parallel sides, so, the "altitude" or distance from those bases are the same length, for each of those triangles in the picture.
now, the bases are parallel, that means the altitude segment is perpendicular to the base, the longest side at the bottom, so, we end up with a right-triangle that has a Hypotenuse and a Leg, equal to the other triangle's.
thus, by the HL theorem for right triangles, both of those triangles are congruent, and if the triangles are congruent, all their sides are also, including the ones on the base.