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4 years ago

Find the total surface area of this object.

Mathematics

1 answer:

oksian1 [2.3K]4 years ago

3 0

Answer:

<h2>528 units^2</h2>

solution,

Total surface area:

$2( \frac{1}{2} \times 6 \times 8) + 6 \times 20 + 8 \times 20 + 10 \times 20 \\ = 48 + 120 + 160 + 200 \\ = 528 \: {units}^{2}$

Hope this helps...

Good luck on your assignment..

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Using scale concepts, it is found that the length of her office is of 10 ft, while the width is of 5 ft.

------------------------

The scale of 6 cm to 15 ft means that each <u>6 cm in the drawing represent 15 ft in actual dimensions</u>.
From this, a rule of three is applied to find the dimensions.

First, we find the actual length:

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Then, we find the actual width:

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3 years ago

How many feet ??? Please help

Ne4ueva [31]

Answer:

11 feet

Step-by-step explanation:

This is a right triangle trig problem with a little geometric twist to it. The angle of depression. If we drew this triangle and the person at the top of it and then drew in a horizontal line from his line of vision, this line of vision is parallel with the ground. The hypotenuse (escalator, here) serves as the transversal cutting these parallel lines. That means that a lot of angle congruencies exist. The angle of depression is alternate interior with the base angle of the triangle (the angle that is NOT the right angle, that is) so that makes them congruent. Therefore, we have that base angle measuring 42.51 degrees (this is the reference angle) and the length of the hypotenuse. We are looking for the height of the triangle, which is also the side across from the reference angle. The trig ratio we need to solve this has to involve the reference angle, the hypotenuse, and the side across from the reference angle. That is the sin ratio. Setting up to solve for the side across from the angle:

$sin(42.51)=\frac{y}{16}$