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4 years ago

Write 18% as a fraction

Mathematics

2 answers:

Mekhanik [1.2K]4 years ago

6 0

Answer9/50:

Step-by-step explanation:

18/100

18÷2

100÷2

9/50

Charra [1.4K]4 years ago

5 0

Hi there!

$18$ % $= \frac{9}{50}$

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1. A boat is 18 ft away from a point perpendicular to the shoreline. A person stands at a point down the shoreline so that a 68°

slega [8]

Answer:

19.4 feet

Step-by-step explanation:

When calculating distances using perpendicular angles, we use trig functions such as Sin, Cos, and Tan.

Sine is defined in a perpendicular triangle as the ratio of the opposite side to the angle over the hypotenuse.
Cosine is defined in a perpendicular triangle as the ratio of the adjacent side to the angle over the hypotenuse.
Tangent is defined in a perpendicular triangle as the ratio of the opposite side over the adjacent side.

Because our angle and know side value are across from each other and we need to know the hypotenuse, we chose to use Sine.

We set up the equation $sin (68) = \frac{18}{h}$ .

We isolate h by multiplying h across the equal sign and dividing sin (68) across as well. $sin (68) = \frac{18}{h}\\hsin (68) = \frac{18}{h}*h\\hsin (68) = 18\\\frac{hsin (68)}{sin (68)} =\frac{18}{sin (68)} \\$

And finally we have $h=\frac{18}{sin (68)}$ . We input to calculator.

$h=\frac{18}{0.92718} \\h=19.4 feet$

See the attached picture below showing the shore with the boat out at sea and the position of the person.

8 0

3 years ago

The vertex of this parabola is at (2, -4). When the y-value is -3, the x-value is -3. What is the coefficient of the squared ter

lyudmila [28]

Answer:

The squared term is 1/25

Step-by-step explanation:

The parabola equation in the vertex form is

$y = a \times (x - h)^2 + k$

where point (h,k) is the vertex and a is the squared term. In this case h = 2 and k = -4. On the other hand, we know that y = -3 and x = -3 are in the parabola. Replacing these values in the formula gives

$-3 = a \times (-3 - 2)^2 - 4$

Solving for a

$-3 + 4 = a \times (-5)^2$

$1 = a \times 25$

$a = \frac{1}{25}$

6 0

3 years ago

Write the value of the 4. 6.54

larisa [96]

Answer:

Hundredths place

Step-by-step explanation:

6 in 6.54 is ones place

5 in 6.54 is tenths place

4 in 6.54 is hundredths

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7 0

3 years ago

Rob laid three sticks end to end. The lengths of the sticks were 45 millimeters, 32 centimeters, and 4 decimeters. How long, in

Oksanka [162]

Answer:

<u>0.765 meters</u> long were the sticks when laid end to end.

Step-by-step explanation:

Given:

Rob laid three sticks end to end. The lengths of the sticks were 45 millimeters, 32 centimeters, and 4 decimeters.

Now, to find the length in meters of the sticks when laid end to end.

The lengths of the sticks are:

1st stick - 45 millimeters.

2nd stick - 32 centimeters.

3rd stick - 4 decimeters.

So, we convert the units of sticks into meters by using conversion factor:

1st stick:

1 millimeter = 0.001 meter.

45 millimeters = 0.001 × 45

45 millimeters = 0.045 meter.

2nd stick:

1 centimeter = 0.01 meter.

32 centimeters = 0.01 × 32

32 centimeters = 0.32 meter.

3rd stick:

1 decimeter = 0.1 meter.

4 decimeters = 0.1 × 4

4 decimeters = 0.4 meter.

Now, adding all the three sticks length to get the the length in meters of the sticks when laid end to end:

$0.045+0.32+0.4\\\\=0.765\ meters.$

Therefore, 0.765 meters long were the sticks when laid end to end.

5 0

4 years ago

How do I solve this question ??????

Vlada [557]

Since you have 4 people total splitting the money, you can find the total amount made in the two months by: 184(4)=736
Since you want the total profit in the second month, subtract the total amount by the profit in the first month: 736-438=298
So the answer is $298

3 0

3 years ago