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Leviafan [203]
3 years ago
13

8)Reduce a las unidades indicadas: a)18 cm 3 a dm 3

Mathematics
1 answer:
lys-0071 [83]3 years ago
7 0

Answer:

(a) 0.018 dm^3

(b) 20 x 10^15 ml^3

Step-by-step explanation:

a) 18 cm^3 to dm^3

1 cm = 0.1 dm

So,

1 cm^3 = 0.001 dm^3

So, 18 cm^3 = 18 x 0.001 dm^3 = 0.018 dm^3

b) 20 hl^3 to ml^3

1 hl = 100000 ml

So, 1 hl^3 = 10^15 ml^3

So,

20  hl^3 = 20 x 10^15 ml^3.  

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Find the value of each variable<br> x= <br> y=<br> z=
zvonat [6]

Answer:

Step-by-step explanation:

A 45 degree angle in a right triangle produces 2 equal sides. In this case z and the perpendicular line are equal. So that's were we'll start. Then you move on to the 60 degree angle to get x and y.

Finding z

z^2 + z^2 = (24√2)                    Combine the left

2z^2 = 24^2 * 2                         Divide both sides by 2

2z^2/2 = 24^2/2

z^2 = 24^2                                 Take the square root of both sides

√z^2 = √24^2

z = 24

Finding x and y

The perpendicular = 24. Because it is a 60 degree angle that's given, we can do this without a calculator.

Tan 60 = opposite over adjacent

sqrt(3) = Perpendicular / z                      Multiply both sides by z

z*sqrt(3) = perpendicular

The above calculation tells us the perpendicular is 24

z*sqrt(3) = 24                                           Divide by sqrt 3

z = 24/√3

z = 24/1.73

z = 8√3

Finding x

Use Pythagoras to determine x

Perpendicular^2 + (8√3)^2 = x^2

24^2 + 8^2*3 = x^2

576 + 192 = x^2

768 = x^2

√x^2 = √768

x = 27.71

7 0
2 years ago
A- 15 √11<br> B- 30 √22<br> C- 30 √11<br> D- 15 √22
ANTONII [103]

Answer:

C

Step-by-step explanation:

3\sqrt{50} * \sqrt{22} \\3 \sqrt{50 * 22} \\3\sqrt{1100} \\3\sqrt{11 * 10 * 10}\\3*10\sqrt{11}\\30\sqrt{11}

8 0
4 years ago
Read 2 more answers
I NEEEEEED HEEEEEEEP PLZZZZZZZZ
Tema [17]

So, since the student makes $30 each week, we can disregard the number of hours.


So, we can model this situation by the following equation

9.5h+30


So, if he works 10.25 hrs (15 minutes = .25 of 1 hr) we just plug that number in

9.5h+30\\9.5(10.25)+30\\127.275

Since it's money we round to the nearest cent

So he will make $127.28 Next week

6 0
3 years ago
Find the quotient simplify your answers a+3 over a divided by 8 over a
mihalych1998 [28]
ANSWER

\frac{a + 3}{8}



EXPLANATION

We want to simplify

\frac{a + 3}{a}  \div  \frac{8}{a}


We multiply the first fraction by the reciprocal of the second fraction to obtain,



\frac{a + 3}{a}   \times  \frac{a}{8}


We cancel the common factors to get,


\frac{a + 3}{1}   \times  \frac{1}{8}

This gives us,

\frac{a + 3}{8}
4 0
3 years ago
A school has 510 male students and 850 female students. If a student from the school is selected at random, what is the probabil
Colt1911 [192]

Answer:

0.375

Step-by-step explanation:

510 male out of a total of 1360

510/1360 = 0.375

5 0
3 years ago
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