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RoseWind [281]
3 years ago
9

What comes next in the sequence? 10, 30, 90, __, __, __

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
7 0
<h2>Hello!</h2><h2>\boxed{\boxed{\bf THEME:\:NUMBER\:\:SEQUENCES}}</h2>

Answer:

It is 270, 810 and 2430

Step-by-step explanation:

10 x 3 = 30

30 x 3 = 90

90 x 3 = 270

270 x 3 = 810

810 x 3 = 2430

--------------------------------------------------------------------------------------------------------------

\heartsuit Greetings \heartsuit

Sincerely: <em><u>anapaulacbellido</u></em>

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4 years ago
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A triangle cannot have more than one obtuse angle true or false
anastassius [24]
The answer is true;
 because if a triangle had more than one obtuse angle it would become like a rhombus or something else so it is not possible to remain a triangle and have more than one obtuse angle c:
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A water tank is in the shape of a right circular cone as shown above. The diameter of the cone is 10 feet, and the height is 15
Vsevolod [243]

Answer:

The rate at which the height of the water tank is changing is approximately 0.4244 ft/hour

Step-by-step explanation:

The given parameters are;

The diameter of the cone = 10 feet

The height of the cone = 15 feet

The rate at which water is leaking from the tank, (dV/dt) = 12 ft³/h

The volume of water in the tank = 27·π cubic feet

The volume V of a right circular cone with radius r and height h = 1/3×π×r²×h

The rate of change of the volume, dV, with time dt is given as follows;

The radius of the cone when the volume of the water in the tank is 27·π cubic feet is given as follows;

1/3×π×r²×h = 27·π ft³

The ratio of the height to the radius of the cone is h/r = 15/5 = 3

h/r = 3

∴ r =h/3

The volume of the cone, V = 1/3×π×r²×h = 1/3×π×(h/3)²×h = 1/27×π×h³ =  h³/27×π

dV/dt = dV/dh × dh/dt

Which gives;

12 = d(h³/27×π)/dh × dh/dt = π×h²/9 × dh/dt

dh/dt = 12/(π×h²/9)

At 27·π ft³ = 1/27×π×h³ ft³, we have;

27 = 1/27×h³

27² = h³

h = ∛27² = 9

∴ dh/dt = 12/(π×h²/9) = 12/(π×9²/9) = 12/(π×9) = 4/(3·π) ≈ 0.4244 ft/hour

The rate at which the height of the water tank is changing ≈ 0.4244 ft/hour.

6 0
3 years ago
A chef at a restaurant uses pounds of butter each day. About how many grams of butter does the chef use each​ day? Use the conve
Vadim26 [7]

Complete question :

A chef at a restaurant uses 12 pounds of butter each day. About how many grams of butter does the chef use each day? use the conversion factors 16 oz/1 lb and 28.35 grams/1oz

Answer:

5,424 grams

Step-by-step explanation:

To convert using the conversion factor :

Number of pounds of butter * (16 oz/1) * (28.35) /1

Hence,

12 * 16oz/ 1 * 28.35/1

(12 * 16 * 28)

= 5,424 grams

7 0
3 years ago
Can someone please help its due soon.ill give brainliest!
Yanka [14]

Answer:

x = 9.6 in

Step-by-step explanation:

The scale factor is 8:10 (difference in length.) This is simplified down to 4:5.

Method 1 (easier):

4/5 × 12 = 9.6 in.

Method 2 (harder but more comprehensive):

\frac{10}{12}  \times  \frac{8}{x}

<em>cross-multiply</em>

<em>10x = 96 \\ x = 9.6</em>

8 0
3 years ago
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