Find the function value.tan495°

Give a real world example for when you would

Lelechka [254]

Answer:

Let's say that someone was building a yard.

(I tired to make this all connected.)

For Part 1) He wants to put his fence around the yard. If it's a rectangle measuring 45 * 32 ft, he would have to find the perimeter of the rectangle so he could install the correct amount of fences. The perimeter is the measurement 'around' a shape.

For area (part 2), if he wanted to know how much he was able to put stuff inside, he would have to find the area of the rectangle. The area is the space occupied by a 2D shape.

Part 3: The person then wants to paint a box as a decoration. He has a small 3 * 3 *3 box. The person needs to find how much paint he needs to cover the box appropriately, or the surface area of the box. Surface area is the total measurement of the surface in a 3D figure.

Part 4: He then wants to put something in the box. He does not know how much can he fit in it, so he would have to find the volume of the box. The volume of a 3D figure is the measurement of how much it can 'fill' the shape.

Hope this helps.

8 0

2 years ago

The Washington Monument in Washington, D.C., is about 556 ft. tall. A three-dimensional puzzle of the Washington Monument is 24

Umnica [9.8K]

Set up a ratio. But first convert the height of the puzzle to feet so we are comparing the same unit of measure.

STEP 1
convert 24 inches to feet

12 inches= 1 foot

24 inches= 2 feet

STEP 2
set up ratio.

= 2 feet/556 feet or 2:556
simplify both by 2

= 1 ft/278 ft or 1:278

ANSWER: 1/278 or 1:278 (can be written either way)

Hope this helps! :)

8 0

3 years ago

a street light is at the top of a 18 ft tall pole. a woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a s

shutvik [7]

The most appropriate choice for similarity of triangles will be given by -

Speed of tip of the shadow of woman = 6 ft/s

What are similar triangles?

Two triangles are said to be similar, if the corrosponding angles of the triangles are same and the corrosponding sides of the triangles are in the same ratio.

Here,

The diagram has been attached here

Let the distance of woman from the pole be x ft and the distance of tip of the shadow to the pole be y ft.

Height of street light = 18 ft

Height of woman = 6ft

The two triangles are similar [As height of woman is parallel to the height of pole]

$\frac{y - x}{6}=\frac{y}{18}\\18y - 18x = 6y\\18y - 6y = 18x\\12y = 18x\\y = \frac{18}{12}x\\y = \frac{3}{2}x\\$