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3 years ago

Convert the fractions to decimals.

1 answer:

5 0

<span>3/20: 0.15
7/50: 0.14
9/25: 0.36
4/15: 0.266667
1/9: 0.111111
9/40: 0.225
5/16: 0.3125
7/9: 0.777778
13/20: 0.65
37/50: 0.74
11/30: 0.366667
19/40: </span>0.475

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7.Find the lengths of the missing sides in the triangle. If your answer is not an integer, leave it in simplest radical form. Th

Fed [463]

Here a right angled triangle given. one angle with measure $45^o$ given. The three sides of the triangle given 4, x, y.

We have to find, the sides which is opposite, adjacent and hypotenuse here.

We know that the side opposite to right angle is always hypotenuse. So, hypotenuyse = y.

The side adjacent to the given angle $45^o$ is x. So, here adjacent = x.

The opposite side is opposite to the given angle. So, opposite = 4.

Now we will use SOHCAHTOA that is $sin(x) =\frac{Opposite}{Hypotenuse} , cos(x) =\frac{Adjacent}{Hypotenuse} , tan(x) =\frac{Opposite}{Adjacent}$ , where x is the angle given.

To get x, we will use tan. So we will get,

$tan(45^o) = \frac{4}{x}$

We know the value of $tan(45^o) = 1$ . By substituting the value we will get,

$1 =\frac{4}{x}$

To find x, we have to move x here to the left side by multiplying it to both sides. We will get,

$(1)(x) = (\frac{4}{x}) (x)$

$x = 4$

So we have got the value of x here.

Now to find y, we will use the trigonometric function sine.

$sin(45^o) =\frac{4}{y}$

we know the value of $sin(45^o) =\frac{\sqrt{2}}{2}$

By substituting the value we will get,

$\frac{\sqrt{2}}{2} = \frac{4}{y}$

By cross multiplying we will get,

$(\sqrt{2}) (y) = (4)(2)$

$\sqrt{2}y = 8$

We will get y by dividing both sides by $\sqrt{2}$ , we will get,

$\frac{\sqrt{2}y}{\sqrt{2}} =\frac{8}{\sqrt{2} }$

$y =\frac{8}{\sqrt{2} }$

Now we will rationalize the denominator by multiplying $\sqrt{2}$ to the top and bottom.

$y =\frac{8\sqrt{2}}{(\sqrt{2})(\sqrt{2})}$

$y =\frac{8\sqrt{2}}{2}$

$y = 4\sqrt{2}$

So we have got the required values of x and y.

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3 years ago

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Boy Scouts Popcorn Sales

Karolina [17]

Answer:

Step-by-step explanation:

5 plus 4 is nine.

I based everything on how much times more it was at first, and did that times 9 for every name.

I added up how much more boxes they got in total and got 60.

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2 years ago

What is 8 minus 2.5 and explain how u got your answer.

Bess [88]

8-2.5 is 5.5 because when you subtract 2 from 6 you get 6b and when you subtract .5 from 6 you get 5.5

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3 years ago

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Explain how the number line can

DochEvi [55]

9514 1404 393

Answer:

points closest to zero will give the least change; those farthest away will give the greatest change. Listing the points in order by distance from 0 will put them in order by amount of change.

Step-by-step explanation:

The amount of change is the absolute value of the number on the number line. That value is the (positive) distance from 0. The numbers will most easily be compared if they are all put on one side of zero. For example, -1.75 and 1.75 are the same distance from zero, as are -3.25 and 3.25.

Listing the points in order by distance from 0 will put them in order by amount of change. In order, least change to greatest change, the numbers are ...

-1.75, 2.50, -3.25, -3.50, 4.75

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3 years ago

The English Alphabet has 20 letters more than one-fourth the number of letters in the Greek Alphabet. The English Alphabet has 2

KengaRu [80]

we are given that the English Aplhabet has 26 letters. we let g represent the number of letters in the Greek alphabet. From the statement given, English alphabet which is 26 = 20 + 1/4 *g. The expression which is similar to this is in option A. 1/4g + 20 = 26.

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3 years ago