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3 years ago

What is the area of this rectangular prism?

Mathematics

2 answers:

Pepsi [2]3 years ago

8 0

Area = 2(width length +hight length +hight width)

Alex Ar [27]3 years ago

3 0

Answer:

A rectangular prism's two identical ends are rectangles, and as a result, the four sides between the ends are also two pairs of identical rectangles. Because a rectangular prism has six rectangular faces or sides, its surface area is just the sum of the six faces, and because each face has an identical opposite, you can calculate the surface area with the formula 2 * length * width + 2 * width * height + 2 * height * length, where length, width and height are the prism's three dimensions.

Find the length, width and height measurements of the prism. For this example, let the length be 12, the width be 10 and the height be 20.

Multiply the length and width, then double that product. In this example, 12 multiplied by 10 equals 120, and 120 multiplied by 2 equals 240.

Step-by-step explanation:

Hope this helps :p

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3 years ago

Which additional fact proves that ΔRST and ΔWXY are congruent if ∠T ≅ ∠Y and RT ≅ WY?

sergejj [24]

Answer:

Hence, option A is correct.

Step-by-step explanation:

We are asked to find the fact such that ΔRST and ΔWXY are congruent.

Since, we are given: ∠T ≅ ∠Y and RT ≅ WY.

we are given the following assumptions:

∠W = x + 5

∠X = 3x - 9

∠Y = 2x + 4

as we are given one angle congruent and one side congruent so in order to prove two triangles are congruent we just need to show that one more pair of angles are congruent.

so from the two triangle we could have that ∠W≅∠R

and ∠X≅∠S

Now we will go by options:

if ∠S=2x+20 then as ∠X≅∠S.

3x-9=2x+20

x=29

∠S=∠W=78°.

if ∠R = 2x + 20 then as ∠W≅∠R

⇒ x+5=2x+20

⇒ x= -15 which is not possible as it will make measure of angle W negative (x+5= -15+5= -10)

if ∠S=2x^2+5 then as ∠X≅∠S.

⇒ 3x-9=2x^2+5

⇒ 2x^2-3x+14=0

on solving this quadratic equation we will get complex zeros.

Hence, option (C) is not correct.

if ∠R = 2x

+ 5 then as ∠W≅∠R.

⇒ x+5=

+ 5

⇒ 2x^2-x=0

⇒ x(2x-1)=0

either x=0 or x=1/2 which is not possible.

because by putting this x value in all the angles we see that sum of all the angles of a triangle is not equal to 180°

Hence, option D is not possible.

Hence, option A is correct.

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3 years ago

If the distance from the boat to the lighthouse is 120 meters and the angle of elevation is 40°, which of the following equation

Sidana [21]

You can use the fact that lighthouses are usually standing perpendicular to the ground that smaller distance on earth surface(planes or water bodies like sea or ocean or calm river) acts as if they a straight plane.

The length (y) of the lighthouse is given by:

Option D: tan 40° = y over 120.

<h3>What is angle of elevation?</h3>

What you see something higher than your eye level height, you need to see up, you elevate your head to see that thing. The angle from the straight horizontal level of eye to the current elevated level is measured and named as angle of elevation.

Similarly, there is angle of depression when the observer looks down.

<h3>How to calculate the height of the considered lighthouse?</h3>

See the figure attached below to understand the symbols used in calculations.

Let the boat is on point C, and let the light house be AB.

Then we have:

Length of CA = 120 meters

∠ ACB = 40°

To find: length of AB

By using the trigonometric ratio tangent, we get:

$tan(\angle ACB) = \dfrac{AB}{AC}\\\\tan(40^\circ) = \dfrac{h}{120}$