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horrorfan [7]
3 years ago
5

Find the reference angle given: t = −76°

Mathematics
2 answers:
fiasKO [112]3 years ago
6 0
This angle t= -76º lies on the IV quadrant, so the reference angle is the acute positive angle fron this angle to x-axis, so in this case the reference angle is 76º. (if better if you can draw it).
Because, the formula for this quadrant is: Ref angle= 360º - given angle (but given angle has to be positive so for -76º turned positive is 284º) now you can apply the formula Ref angle= 360º - 284º= 76º
Morgarella [4.7K]3 years ago
3 0

Answer:  The required reference angle for the angle t is 284°.

Step-by-step explanation:  We are given to find the reference angle for the following angle t :

t = -76°.

We know that

any two reference angles differ by a measurement of 360°.

So, if s represents one of the reference angles for t, then we get

    s = t + 360°

⇒  s = -76° + 360°

⇒  s = 284°.

Thus, the required reference angle for the angle t is 284°.

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<span> 3.1 </span>  Subtracting a whole from a fraction 

Rewrite the whole as a fraction using <span> 5 </span> as the denominator :

-15 -15 • 5 -15 = ——— = ——————— 1 5

<span>Equivalent fraction : </span>The fraction thus generated looks different but has the same value as the whole 

<span>Common denominator : </span>The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

<span> 3.2 </span>      Adding up the two equivalent fractions 
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(p+10) - (-15 • 5) p + 85 —————————————————— = —————— 5 5 <span>Equation at the end of step  3  :</span> p + 85 —————— = 0 5 <span>Step  4  :</span>When a fraction equals zero :<span><span> 4.1 </span>   When a fraction equals zero ...</span>

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the <span>denominator, </span>Tiger multiplys both sides of the equation by the denominator.

Here's how:

p+85 ———— • 5 = 0 • 5 5

Now, on the left hand side, the <span> 5 </span> cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
   p+85  = 0

Solving a Single Variable Equation :

<span> 4.2 </span>     Solve  :    p+85 = 0<span> 

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 </span>                     p = -85 

One solution was found :                  <span> p = -85</span>
7 0
3 years ago
Solve for the given time.
LenaWriter [7]

Answer:

8851.86

Step-by-step explanation:

100-4.3= 95.7%

15000(.957)^12

5 0
3 years ago
The sum of 30 and twice a number is 48. Find the number?
lesya [120]

Answer:

9 is the number

Step-by-step explanation:

Let's call this number x

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subtract 30 from both sides and you get

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3 0
3 years ago
What is the period of the function f(x)=sin(x/3) ?
vitfil [10]
<h3>Answer: 6pi radians</h3>

(this is equivalent to 1080 degrees)

======================================

Explanation:

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is the same as

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and that is in the form

f(x) = A*sin( B(x-C) )+D

The letters A,B,C,D are explained below

A = helps find the amplitude

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All we care about is the value of B as that is the only thing that is connected to the period T

--------

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3 years ago
I need help with geometry
satela [25.4K]

Answer:

45 is the answer

Step-by-step explanation:

first you have to know the sum of interior angle of that pentagon (540)

then add the all angle.

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hope it will help you☺✌

6 0
3 years ago
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