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luda_lava [24]
3 years ago
11

What is the measure of angle 1?

Mathematics
1 answer:
Tju [1.3M]3 years ago
8 0
The measure of ∠1 is 125° .
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how can you use the sine and cosine ratios and their inverses in calculations involving right triangles
Marysya12 [62]

Answer:

Step-by-step explanation:

I will show you by example.  For the sin ratio, we have that the sin of the reference angle is equal to the side opposite the angle over the hypotenuse of the right triangle.  We use this example for finding the ratio, knowing the angle:

sin(60)=.866025 found on your calculator.  Because this is a special angle in a right triangle, we can also say, by looking at a 60 degree reference angle that the side across from the angle measures square root of 3, and the hypotenuse measures 2.  So in terms of a radical,

sin(60)=\frac{\sqrt{3} }{2}

If we don't know the angle, we use the 2nd button on our calculator to find it.  For example, if our problem looked like this:

sin\theta=\frac{1}{2},

we are asked what angle has a sin ratio of 1/2.  We find this angle by pressing the 2nd button on our calculator, then the sin button and you will see this on your screen:

sin^{-1}(

Enter either a .5 or a 1/2 after that open parenthesis and hit enter and you'll get the angle measure.  That's how you use the inverses to solve for missing angles.

3 0
4 years ago
The Gulf Stream flows along the North Carolina coast at 90 million cubic meters per second and at 40 million cubic meters per se
ruslelena [56]
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7 0
3 years ago
ABC is a right triangle. If AC = 12 and BC = 13, find AB.
AysviL [449]
Since BC is the hypotenuse...

α = 12
c = 13

Hence..

13² = 12² + ß²
ß = √(13² - 12²)
= √(169 - 144)
= √25
= 5

Hence, AB = 5

I hope this helps!
3 0
3 years ago
Read 2 more answers
The measure of an angle is 6° less than the measure of its complement.
kogti [31]
It’s 3 less then measure of its complement 6°
7 0
3 years ago
zacharias is using the quadratic formula to solve the equation 0 = –2x2 5x – 3. he begins by substituting as shown. quadratic fo
Mice21 [21]
<span>the equation -2x² + 5x -3=0, we notice that the sum of the coefficient equals 0, -2+5-3=0, if such a case happens, the solution of the previous equation will be, x=1 (always) and x= c/a, a=-2, and c=-3, so x=-3/-2, finally, the answer is: the 2 in the denominator should be -2</span>
6 0
3 years ago
Read 2 more answers
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