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siniylev [52]
3 years ago
15

An Open rectangular tank of length 18 cm and breadth 16 cm contains water to a depth of 13 cm. The water is poured into a cylind

rical container of diameter 17 cm. Find,
1. The volume of water in the tank,
2. The height of water in the cylindrical container,
3. The surface area of the cylindrical container that is in contact with the water.
Mathematics
1 answer:
san4es73 [151]3 years ago
4 0

Answer:

Step-by-step explanation

Volume of tank = l* b*h

= 18*16*13

=3744 cubic cm

Volume of cylinder = volume of tank

πr²h = 3744

3.14* (17/2)² * h = 3744

h= 3744 *2 *2/*17*17*3.14

h=16.5 cm

 

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Select the correct answer from each drop-down menu.
Ahat [919]

Answer:

Cos θ  = -4/5

Tan θ = -3/4

Step-by-step explanation:

The question is as following:

Select the correct answer from each drop-down menu.

Angle θ lies in the second quadrant, and sin θ =3/5.

cos θ = -4/5, -3/5, 3/5, 4/5

tan θ = -4/3, -3/4, 3/4, 4/3

==================================================

Since, the angle lies in second quadrant (negative x axis and positive y axis) we can deduce that cos θ is negative and tan θ is also negative.

If sin θ =3/5

cos \  \theta =\sqrt{1-sin^2 \theta} = \sqrt{1-(\frac{3}{5} )^2} =\sqrt{1-\frac{9}{25} }=\sqrt{\frac{16}{25} } =\frac{4}{5}

∴ Cos θ = -4/5 ⇒ because θ lies in the second quadrant.

And

Tan θ = (sin θ)/(cos θ) = (3/5) / (-4/5) = -3/4.

3 0
3 years ago
In the image below, ABC ~ DEF What is the length of EF and the measure of D
Gwar [14]
If triangle ABC is congruent to triangle DEF, then EF = BC = 27
This is because BC and EF are the last two letters of ABC and DEF respectively. They match up and correspond, being congruent by CPCTC

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

Similarly, if triangle ABC is congruent to triangle DEF, then angle D = angle A = 49 degrees

The letter D and the letter A are the first letters of DEF and ABC respectively. So they match up and are congruent by CPCTC

CPCTC = Corresponding Parts of Congruent Triangles are Congruent

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

So in short, the answer is choice B) 27; 49

7 0
3 years ago
How can I find the volume of a cone 9 radius and 18 height​
Anastasy [175]

Answer:

V = 486\pi, or approx. 1,526.814

Step-by-step explanation:

V = \pi*r²*(h/3)

plug in the numbers: V = \pi * (9)² * (18/3)

simplify: V = \pi * 81 * 6

simplify: V = 486\pi, or approx. 1,526.814

6 0
3 years ago
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Oduvanchick [21]
1/12 is 10/120 is simplest form
6 0
3 years ago
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Does anyone know how to find a in this please ??
Airida [17]

Answer:

Step-by-step explanation:

180 - 67 = 113

180 - 113 - 42 = 25

α = 25º

8 0
3 years ago
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