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2 years ago

If you answer God will bless you:

Mathematics

1 answer:

VashaNatasha [74]2 years ago

6 0

Answer:

600 m³

Step-by-step explanation:

Given:

length of swimming pool = 30 m
width of swimming pool = 10 m
depth at deep end = 3 m
depth at shallow end = 1 m

To find the volume of the water in the pool, find the area of a cross section (see attached image) and multiply it by the width of the pool.

Area of cross section

= area of rectangle - area of triangle

= (3 × 30) - [1/2 × 30 × (3 - 1)]

= 90 - 30

= 60 m²

Volume of pool

= area of cross section × width

= 60 × 10

= 600 m³

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Vesnalui [34]

Answer: $3\dfrac{1}{4}$ hours

Step-by-step explanation:

Let x be the time ( in hours ) you feel good and y be the time ( in hours ) that you get tired.

As per given , we have

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So , we have

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According to the given question , we have the following system of equations ,

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Multiply 12 on both sides of equation (1) , we get

$12x+12y=96------------(3)$

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3 0

3 years ago

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mariarad [96]

Answer:

$JK=2.25\ units$

Step-by-step explanation:

we know that

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3 years ago

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2 years ago

Expand and simplify (x+2)(x+4)(x+6)

Deffense [45]

Answer:

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Collect the like terms together to give you:

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5 0

3 years ago

A horse corral is situated on a triangular plot of land. Two sides of the plot are 150 feet long and they meet at an angle of 55

Brrunno [24]

Answer : d. 438.5 ft

The diagram for the given statement is attached below.

Two sides AB and AC are equal so the angle B = angle C

WE know sum of three sides of a triangle = 180

angle A + angle B + angle C = 180

55 + B + C = 180

B + C = 180 -55 = 125

B and C are equal so we divide 125 by 2

angle B = 62.5 and angle C = 62.5

Now we apply sin law

$\frac{sin A}{a} = \frac{sin B}{b}$

$\frac{sin 55}{a} = \frac{sin 62.5}{150}$

150 * sin(55) = sin(62.5) * a

122.8728066 = sin(62.5) * a

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a= 138.52 feet

To find perimeter we add all the sides

150 + 150 + 138.52 = 438.52 feet

5 0

4 years ago