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3 years ago

What is the surface area of the given figure

Mathematics

1 answer:

Ad libitum [116K]3 years ago

5 0

Answer:

1,728cm square

Step-by-step explanation:

Surface area=sum of all faces of a polygon

Let's do the biggest ones: 32•20=640

32•16=512

Now the rest:

12•32=384

16•12=192 192÷2=96

Now add it all up: 640+512+384+96+96=1,728cm square

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to estimate the height of the jin mao tower in shanghai , a tourist sights the top of the tower form a mirror that is 86.7 meter

Ray Of Light [21]

Answer:

The height of the tower = 420.48 meters

Step-by-step explanation:

For better understanding of the solution, see the figure attached below :

Let the height of the tower be x meters

Now, using the laws of reflection : angle of reflection = angle of incidence

Also, both the tower and the tourist are standing parallel to each other

⇒ ∠A = ∠i ( Alternate interior angles are equal)

Similarly, ∠D = ∠r ( Alternate interior angles)

But, ∠i = ∠r

⇒ ∠A = ∠D

Also, the tourist and the tower is perpendicular to the ground surface.

⇒ m∠B = m∠E = 90°

Now, in ΔABC and ΔDEC

∠A = ∠D (Proved above)

m∠B = m∠E = 90°

So, by AA postulate of similarity of triangles, ΔABC ~ ΔDEC

As the sides of similar triangles are proportional to each other

$\frac{AB}{DE}=\frac{BC}{EC}\\\\\implies\frac{1.92}{x}=\frac{0.4}{87.6}\\\\\implies x=\frac{87.6\times 1.92}{0.4}\\\\\bf\implies x = 420.48\textbf{ meters}$

Hence, The height of the tower = 420.48 meters

5 0

3 years ago

A buoy moves up and down with the waves in simple harmonic motion. This buoy moves a total of 12 feet from its minimum position

Lana71 [14]

That was rude of him

3 0

3 years ago

4^3 > 6^2 Is this right or not right if not what other sign needs to go there.

Bess [88]

Answer:

that is right

Step-by-step explanation:

because 4×4×4 equals 64 and 6×6 equals 37 so it is 4^3>6^2

6 0

2 years ago

Read 2 more answers

What are the X and Y intercepts of y= -2(x-4)2 +3

kari74 [83]

Answer: x-intercepts are ( 2.775,0) and (5.225,0)

And y-intercept is (0,-29)

Step-by-step explanation:

Here the given equation is,

$y = -2(x-4)^2+3$

For x-intercept, y = 0,

Put y = 0 in the above equation of parabola,

We get, $-2(x-4)^2 + 3 = 0$

$-2(x^2+16+8x) + 3 = 0$

$-2x^2-32-16x + 3 = 0$

$-2x^2-16x -29 = 0$

By solving this equation,

We get, x = 2.775 or x = 5.225

Therefore, x-intercept of the given parabola are (2.775, 0) and (5.225,0)

Now, for y-intercept, x = 0

By putting x = 0 in the given equation of parabola,

We get, y = -29

Thus, y-intercept of the given parabola = (0,-29)

4 0

3 years ago

How many 0.4-liter glasses of water does it take to fill up a 3.4-liter pitcher. SHOW YOUR WORK!!!!!!!!!!

bulgar [2K]

To get the result we just have to divide 3.4 liter by 0.4 liter.
3.4:0.4=8.5 - its our result.
To better undestand lets think that u have 4 piece of cake and 2 person. To know how much u can give each person u have to divide 4 piece by 2 person. Its similar situation here.

5 0

3 years ago

Read 2 more answers