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2 years ago

Answer and explain please

Mathematics

1 answer:

Sonja [21]2 years ago

8 0

Answer:

You only need to add more tick marks and you also can multiply by three. 20 times 3 is 60 and 170 times 3 is 360.

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A ship is sailing on the sea. It travels 50 miles at 60° to the horizontal. Then the ship travels 90 miles at 30° to the horizon

pav-90 [236]

Answer:

$(25\sqrt{3}+45)\ miles$

Step-by-step explanation:

we know that

The total vertical distance (total miles North) traveled is equal to

$d=50sin(60^o)+90sin(30^o)$

Remember that

$sin(60^o)=\frac{\sqrt{3}}{2}$

$sin(30^o)=\frac{1}{2}$

substitute

$d=50(\frac{\sqrt{3}}{2})+90(\frac{1}{2})$

$d=(25\sqrt{3}+45)\ miles$

7 0

3 years ago

Solve the simultaneous equations

Contact [7]

Answer:

The solution for given system of equations is: x = 6 and y = 3

(6,3)

Step-by-step explanation:

Given equations are:

$3x+4y=30\ \ \ Eqn\ 1\\3x-y=15\ \ \ \ Eqn\ 2$

There are three methods to solve simultaneous equations

Elimination
Substitution
Co-efficient method

We will use the elimination method as the coefficients of x in both equations are already same

Subtracting equation 2 from equation 1

$3x+4y - (3x-y) = 30-15\\3x+4y-3x+y = 15\\5y = 15\\\frac{5y}{5} = \frac{15}{5}\\y = 3$

Putting y = 3 in equation 2

$3x-3 = 15\\3x = 15+3\\3x = 18\\\frac{3x}{3} = \frac{18}{3}\\x = 6$

Hence,

The solution for given system of equations is: x = 6 and y = 3

(6,3)

7 0

2 years ago

If 5 times a number is subtracted from 3 times its<br>square, the result is 2. Find the number.

grandymaker [24]

Answer:

x = 2 or x = - 1/3

Step-by-step explanation:

3x² - 5x = 2

3x² - 5x - 2 = 0

(x - 2) (3x + 1) = 0

x = 2 or x = - 1/3

5 0

2 years ago

If there is 520 grams of radioactive material with a half-life of 12 hours, how much of the radioactive material will be left af

AURORKA [14]

This is a fairly easy half-life problem
Each half-life reduces the radioactive material by one half.
So after 72 hours the radioactive material would have undergone 6 half-lives.
2^6 = 64.
So, there will be one sixty-fourth of the material left.
520 / 64 = 8.125 grams will remain.
radioactive decay is an exponential decay function.

Source:
http://www.1728.org/halflife.htm

3 0

2 years ago

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3÷3912.00 carry to the hundreth

irga5000 [103]

7.67 is your answer. hope this helps, let me know if you need more help

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2 years ago

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