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2 years ago

¿Cuántas esferas hay en la figura 20?

Mathematics

1 answer:

scoundrel [369]2 years ago

8 0

Answer:

418

Step-by-step explanation:

fig 2 = fig 1 + 5

fig 3 = fig 2 + 7 or fig 1 +5+7 16

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

4+5+7+9+11+13+15+17+18+19+21+23+25+27+29+31+33+35+37+39

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Find three consecutive integers whose sum is 51.

Julli [10]

Answer:

16,17,18

your welcome

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2 years ago

Which of the following statements best describes theorems

insens350 [35]

Answer:

The answer to your question is the first option.

Step-by-step explanation:

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2 years ago

3 1183 long division

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2 years ago

From a point A that is 8.20 m above level ground, the angle of elevation of the top of a building s 31 deg 20 min and the angle

Mariulka [41]

Answer:

30.11 meters ( approx )

Step-by-step explanation:

Let x be the distance of a point P ( lies on the building ) from the top of the building such that AP is perpendicular to the building and y be the distance of the building from point A, ( shown in the below diagram )

Given,

Point A is 8.20 m above level ground,

So, the height of the building = ( x + 8.20 ) meters,

Now, 1 degree = 60 minutes,

⇒ $1\text{ minute } =\frac{1}{60}\text{ degree }$

$20\text{ minutes }=\frac{20}{60}=\frac{1}{3}\text{ degree}$

$50\text{ minutes }=\frac{50}{60}=\frac{5}{6}\text{ degree}$

By the below diagram,

$tan ( 12^{\circ} 50') = \frac{8.20}{y}$

$tan(12+\frac{5}{6})^{\circ}=\frac{8.20}{y}$

$tan (\frac{77}{6})^{\circ}=\frac{8.20}{y}$

$\implies y=\frac{8.20}{tan (\frac{77}{6})^{\circ}}$

Now, again by the below diagram,

$tan (31^{\circ}20')=\frac{x}{y}$

$tan(31+\frac{1}{3})=\frac{x}{y}$

$\implies x=y\times tan(\frac{94}{3})=\frac{8.20}{tan (\frac{77}{6})^{\circ}}\times tan(\frac{94}{3})^{\circ}=21.9142943216\approx 21.91$

Hence, the height of the building = x + 8.20 = 30.11 meters (approx)

8 0

2 years ago

A circular race track has a radius of 200 feet a car drives 50 laps around the track approximately how many miles does the car t

bazaltina [42]

Answer:

11.9 miles

Step-by-step explanation:

The length of the track is ...

C = 2πr = 2π(200 ft) = 400π ft

Then the length of 50 laps will be ...

50C = 50·(400π ft) = 20,000π ft ≈ 62,831.9 ft

The number of miles (m) this is can be found from ...

m(5280 ft) = 62,831.9 ft

m = 62,831.9/5280 ≈ 11.90 . . . . miles

50 laps is about 11.9 miles.

4 0

2 years ago