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3 years ago

Simplify 0.75 : 2 5/16

1 answer:

4 0

To start this is a ratio, and the goal is to get at least 1 to be a whole number so first lets get the number below 1 to 1.

0.75 : 2 5/16 ---> (x1.3333 on both sides) ---> 1 : 3 1/12.

Next, if needed for your answer, lets get the other number to be a whole number as well. We can do this my multiplying both sides by 12 since the fraction on 3 1/12 is 1/12.

1 : 3 1/12 --> (x12 on both sides) ---> 12 : 37

Your final answer will either be 1 : 3 1/12 or 12 : 37, depending on the formatting expected for your homework assignment.

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Lapatulllka [165]

Answer:

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Step-by-step explanation:

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2 years ago

Write each of the following as a function of theta.<br> 1.) sin(pi/4 - theta) 2.) tan(theta+30°)

Paladinen [302]

Step-by-step explanation:

Let x represent theta.

$\sin( \frac{\pi}{4} - x )$

Using the angle addition trig formula,

$\sin(x - y) = \sin(x) \cos(y) - \cos(x) \sin(y)$

$\sin( \frac{\pi}{4} ) \cos(x) - \cos( \frac{\pi}{4} ) \sin(x)$

$( \frac{ \sqrt{2} }{2}) \cos(x) - (\frac{ \sqrt{2} }{2} )\sin(x)$

Multiply one side at a time

Replace theta with x , the answer is

$\frac{ \sqrt{2} \cos(x) }{2} - \frac{ \sin(x) \sqrt{2} }{2}$

2. Convert 30 degrees into radian

$\frac{30}{1} \times \frac{\pi}{180} = \frac{\pi}{6}$

Using tangent formula,

$\tan(x + y) = \frac{ \tan(x) + \tan(y) }{1 - \tan(x) \tan(y) }$

$\frac{ \tan(x) + \tan( \frac{\pi}{6} ) }{1 - \tan(x) \tan( \frac{\pi}{6} ) }$

Tan if pi/6 is sqr root of 3/3

$\frac{ \tan(x) + ( \frac{ \sqrt{3} }{3} ) }{1 - \tan(x) (\frac{ \sqrt{3} }{3} ) }$

Since my phone about to die if you later simplify that,

you'll get

$\frac{(3 \tan(x) + \sqrt{3} )(3 + \sqrt{3} \tan(x) }{3(3 - \tan {}^{2} (x) }$

Replace theta with X.

4 0

3 years ago

Simplify:

OLEGan [10]

15x4y2 letter B is your answer

6 0

3 years ago

Read 2 more answers

Can someone plz explain how to do this Algebra 1 A=1/2(a+b)h for h

Alex_Xolod [135]

<span>A=1/2(a+b)h for h.

First, you need to get rid of 1/2, so divide both sides by 1/2.
A/(1/2) = (a + b)h

You can simplify the </span>A/(1/2) by multiplying by the reciprocal of 1/2, so 2/1.

2A = (a + b)h

Now divide both sides by (a+b).

2A/(a+b) = h

6 0

3 years ago

Simplify 0.75 : 2 5/16​

Simplify 0.75 : 2 5/16