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suter [353]
2 years ago
11

Please answer with steps

Mathematics
2 answers:
lidiya [134]2 years ago
6 0

Answer:

9 litres

Step-by-step explanation:

the volume (V) of the tank is calculated as

V = lbh ( l is length, b is breadth , h is height )

here l = 60 cm, b = 15 cm, h = 10 cm , then

V = 60 × 15 × 10 = 9000 cm³

using the conversion 1 litre = 1000 cm³ , then

V = 9000 ÷ 1000 = 9 litres

oee [108]2 years ago
4 0

Answer:

  9 liters

Step-by-step explanation:

It is often convenient to make use of the fact that 1 liter is 1000 cm³, or 1 dm³, where 1 dm = 10 cm. Expressing the tank dimensions in decimeters, we see they are ...

  L = 6 dm, W = 1.5 dm, H = 1.0 dm

Then the volume is ...

  V = LWH

  V = (6 dm)(1.5 dm)(1.0 dm) = 9.0 dm³ = 9 L

9 liters of water are needed to fill the empty tank.

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What is the measure of z?
Ymorist [56]

Solving a system of linear equations, we conclude that the measure of side Z is 2√13

<h3>How to find the measure of side Z?</h3>

Remember the Pythagorean theorem. It says that the square of the hypotenuse is equal to the sum of the squares of the legs.

In the image, we can identify 3 right triangles, and with the Pythagorean theorem, we can write a system of 3 equations.

x^2 = y^2 + 4^2

z^2 = y^2 + 9^2

(4 + 9)^2 = z^2 + x^2

We want to solve that for z.

Now, the second equation can be rewritten to:

y^2 = z^2 - 9^2

Now let's replace the first equation into the third one, so we get:

(4 + 9)^2 = z^2 + (y^2 + 4^2)

Now we can replace y^2 by z^2 - 9^2

(4 + 9)^2 = z^2 + ((z^2 - 9^2) + 4^2)

Now we can solve this:

(13)^2 = z^2 + z^2 - 9^2 + 4^2

(13)^2 + 9^2 - 4^2 = 2*z^2

104/2 = z^2

52 = z^2

√52 = z

√(4*13) = z

√4*√13 = z

2√13 = z

We conclude that the measure of side Z is 2√13

If you want to learn more about systems of equations:

brainly.com/question/13729904

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8 0
2 years ago
Mark is 4 year older than 2 times his sister Helena's Age. Let h represent Helena's age and m represent Mark's age. Write an equ
andreyandreev [35.5K]
<span>2h + 4 = m (twice the value of Helena's age plus 4 will equal Mark's age) 3j - 6 = g (three time John's age minus 6 will equal Glenn's age) 3.35s + .80b = 11.75</span>
7 0
3 years ago
Which relationship describes angles 1 and 2?
Sholpan [36]

Answer:

vertical angles and complementary

6 0
3 years ago
What is a formula for the nth term of the given sequence?<br> 20,50, 125...
loris [4]

Answer:

a(n) = 20*2.5^(n - 1)

Step-by-step explanation:

Note that 50 is 2.5 times 20, and that 125 is 2.5 times 50.  Thus the common factor is 2.5.  The formula for the nth term is

a(n) = a(1)*r^(n - 1)  => a(n) = 20*2.5^(n - 1)

3 0
3 years ago
What is the length of AC?
natima [27]

7/x = 84 / (156 -x)
84x = 7(156 -x)
84x = 1092 - 7x
91x = 1092
x = 12

AC = 156 - 12 = 144

answer
D. 144
3 0
3 years ago
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