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3 years ago

A water tank contains 12 1/2 ltres of water. Two-fifth of it was (1 mark) consumed. How much of it was left?

Mathematics

1 answer:

SVEN [57.7K]3 years ago

4 0

Answer:

7 1/2

Step-by-step explanation:

A water tank contains 12 1/2 liters

= 25/2

Two fifth of it was consumedd

= 25/2 ×2/5

= 50/10

= 5

12.5-5

= 7.5

= 7 1/2

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Jason and Alison are hiking in the woods when they spot a rare owl in a tree. Jason stops and measures an angle of elevation of

Shalnov [3]

Answer:

$Owl= 67.14ft$

Step-by-step explanation:

See comment for complete question.

The given information is represented in the attached figure.

First convert 22°8'6'' and 30° 40’ 30” to degrees

$22^{\circ} 8'6'' = 22 + \frac{8}{60} + \frac{6}{3600}$

$22^{\circ} 8'6'' = 22.135^{\circ}$

$30^{\circ} 40'30'' = 30 + \frac{40}{60} + \frac{30}{3600}$

$30^{\circ} 40'30'' = 30.675^{\circ}$

Considering Jason's position:

$tan(22.135^{\circ}) = \frac{H}{x + 48}$

Where x = distance between the tree and Alison

Make H the subject

$H = (x + 48)tan(22.135^{\circ})$

Considering Alison's position

$tan(30.675^{\circ}) = \frac{H}{x}$

Make H the subject

$H = xtan(30.675^{\circ})$

$H = H$

$(x + 48)tan(22.135^{\circ}) = xtan(30.675^{\circ})$

$(x + 48) *0.4068 = x* 0.5932$

Open bracket

$x *0.4068 + 48 *0.4068 = 0.5932x$

$0.4068x + 19.5264 = 0.5932x$

Collect Like Terms

$-0.5932x+0.4068x = -19.5264$

$-0.1864x = -19.5264$

$0.1864x = 19.5264$

Make x the subject

$x = \frac{19.5264}{0.1864}$

$x = 104.76$

Substitute 104.76 for x in $H = xtan(30.675^{\circ})$

$H = 104.76 * tan(30.675^{\circ})$

$H = 104.76 * 0.5932$

$H = 62.14$

The above represents the height of the tree.

The height of the owl is:

$Owl= H + 5$

$Owl= 62.14 + 5$

$Owl= 67.14ft$

7 0

2 years ago

Which fraction is not equivalent to 9/12 15/20 24/32 6/8 16/24

s2008m [1.1K]

Answer:

16/24

Step-by-step explanation:

9/12–> simplify to 3/4

3/4=15/20

24/32=3/4

6/8=3/4

16/24 is not equal

6 0

2 years ago

Read 2 more answers

How many terms are in the expression a3 + 3a2b - 4b - 11b + 7 5 6 4 7

Contact [7]

Answer:

there are 5 terms!

Step-by-step explanation:

trust me

6 0

2 years ago

What is 0.987 tenths?

almond37 [142]

Answer:

0.0987

Step-by-step explanation:

6 0

3 years ago

1. How many groups of days are in 1 week?

wolverine [178]

Answer:

(14 groups)

14 divided by 7 = 2

Therefore 14 is your answer

Step-by-step explanation:

lol that's all I got

3 0

3 years ago