What is the area of the composite figure above?

Mathematics

2 answers:

slega [8]3 years ago

5 0

Answer:

18550cm²

Step-by-step explanation:

140×110=15400

½×70×90=3150

15400+3150=18550

marissa [1.9K]3 years ago

5 0

Answer:A composite figure is made up of several simple geometric figures such as triangles, rectangles, squares, circles, and semicircles. To find the area of a composite figure, separate the figure into simpler shapes whose area can be found. Then add the areas together.

Step-by-step explanation:For example, figure ABCD is a composite figure as it consists of two basic figures. That is, a figure is formed by a rectangle and triangle as shown below. The area of a composite figure is calculated by dividing the composite figure into basic figures and then using the relevant area formula for each basic figure.

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The symmetry of a hyperbola with a center at (h, k) only occurs at y = k and x = h.

allsm [11]

The correct answer is false. The symmetry of a hyperbola with a center at (h, k) do not occurs only at y = k and x = h. The axis of symmetry occurs through each focus making right angles to the directrix. The axis of symmetry is a line that divides a graph or something into two congruent figures.

8 0

3 years ago

A ship is moving at a speed of 30 km/h parallel to a straightshoreline. The ship is 6 km from the shore and it passes alighthous

natita [175]

Answer:

A) S = f(d) = √(36 + d²)

B) d = g(t) = 30t

C) f o g = √(36 + 900t²)

Explanation:

A) Express the distance s between the lighthouse and the ship as a function of d, the distance the ship has traveled since noon;that is, find f so that s = f(d)

Refer to the attached image and observe that ship starts moving from point I towards point N which represents the position of ship at noon.

From point I to point N ship covers the distance d.

From point I to point L (lighthouse) the distance is S.

A triangle is formed and we want the distance S so we will apply the Pythagorean theorem

IL² = NL² + IN²

S² = 6² + d²

S = √(36 + d²)

Therefore, the function is S = f(d) = √(36 + d²)

B) Express d as a function of t, the time elapsed since noon;that is, find g, so that d = g(t)

Since the ship is moving at a speed of 30 km/h and let t represents the time taken to move from I to N then

d = 30t

d = g(t) = 30t

C) Find f o g. What does this function represent?

Since we have already found f(d) and g(t) we can find f o g.

f(d) = √(36 + d²) and d = g(t) = 30t

substitute d = g(t) = 30t into f(d)

f o g = √(36 + (g(t))²)

f o g = √(36 + (30t)²)

f o g = √(36 + 900t²)

This function simply represents the distance from point I to point N to point L which is the longer distance from the initial position of ship to the lighthouse.