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4 years ago

How do u write 37.025 in word form

Mathematics

2 answers:

stiv31 [10]4 years ago

5 0

<span>Thirty Seven and Twenty-Five Thousandths.</span>

makkiz [27]4 years ago

4 0

Thirty seven and twenty five thousands

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What is the area figure

pantera1 [17]

The area of a triangle is:
$A= \frac{1}{2}bh$

To solve for the base, you'll have to use trigonometric ratios. Since thee base is the opposite of the angle we are given, the trigonometric ratio that deals with opposite is sin(x), which is opposite/hypotenuse. So, let's set it up (x is the base):
$sin(45) = \frac{x}{24}$

Solve for x:
$24sin(45) = x$

Simplify (sin of 45 is a common ratio):
$x = \frac{24 \sqrt{2} }{2} = 12 \sqrt{2}$

Then, for the height, it's the side adjacent to angle given. We could use the Pythagorean theorem, but it's much easier and faster to use another trigonometric ratio. Unless you are told to use the Pythagorean Theorem, in which case tell me. So, the trigonometric ratio that deals with adjacent and hypotenuse is cos(x), which is adjacent over hypotenuse. Let's set it up (x is the height):
$cos(45) = \frac{x}{24}$

Simplify and solve for x:
$x = 24cos(45)$

Simplify (cos of 45 is also a common ratio):
$x = \frac{24 \sqrt{2} }{2} = 12 \sqrt{2}$

So, now we are ready to solve for the area. We know the base and the height! Let's plug everything in the formula:
$A = \frac{1}{2}(12 \sqrt{2})(12 \sqrt{2}) = \frac{1}{2}(144)(2) = 144$

So, the area of the triangle is 144 ft²

For these types of problems, you need to know all the trigonometric ratios. A good way to memorize it is using a mnemonic device like SohCahToa. The Soh stand for "Sine Opposite Hypotenuse", the Cah stands for "Cosine Adjacent Hypotenuse" and the Toa stands for "Tangent Opposite Adjacent". There are a lot more trigonometric ratios including inverse trigonometric ratios, reciprocal trigonometric ratios, hyperbolic trigonometric ratios (which show up during differential calculus), and the inverse and reciprocal of hyperbolic trigonometric ratios. Hope my answer helps! If anything doesn't make sense, please make sure you tell me!

7 0

3 years ago

4x + 5y = 102<br> 7y + 5y = 126

galina1969 [7]

Answer:

hope you like my question

Step-by-step explanation:

Hi -

What you want to do here is solve the equation by substitution.

To do that, you solve one of the equations for y. then plug that into the other equation so you have an equation with only x as the variable.

1) Solve either equation for y. Lets go with the first one:

4x+5y=102

Subtract 4x from each side:

5y=102-4x

Divide both sides by 5

y=(102-4x)/5

2) Plug this value for y into the other equation we started with:

7x+5y = 126

7x + 5((102-4x)/5) = 126

3) Solve the resulting equation for x.

Since we are multiplying and dividing (102-4x) by 5 the 2 5s cancel each other out

7x + 5((102-4x)/5) = 126

7x + 102 - 4x = 126

Combine the 2 x terms:

3x+102=126

subtract 102 from each side:

3x = 24

Divide both sides by 3:

x=8

Once we have a value for x, we can plug that number into either one of our starting equations to solve for y.

4x + 5y = 102; if x = 8

32+5y = 102

subtract 32 from each side:

5y = 70

Divide both sides by 5:

y = 14

So x = 8 and y = 14.

You can check your work by plugging these numbers both into your 2 initial equations.

4x+5y=102; 4*8+5*14 = 102

7x+5y=126; 7*8 +5*14 = 126

3 0

3 years ago

Match the pre-image, and its clockwise rotation, with the coordinates of its image. 1. (5, 2); 90° (-2, -5) 2. (5, 2); 180° (2,

lawyer [7]

1. (2,-5)
2. (-5,-2)
3. (-2,5)
4. (2,5)
5. (5,-2)
6. (-2,-5)
7. (5,2)
8. (-5,2)

Each 90° clockwise turn takes a point (x,y) and transforms it to (y,-x). For a 180° turn you would do this process twice in a row; for a 270° turn, three times in a row.

5 0

4 years ago

What is the equation of the function shown in the graph

Vinvika [58]

Answer:y=2x-1 is the right answer.

6 0

3 years ago

Solve for the rational equation 1/x = x/x+1

babymother [125]

Answer:

the answer is x=1/2

Step-by-step explanation:

hope this helps if not let me know have a blessed day

8 0

2 years ago