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olasank [31]
4 years ago
12

Can you help me find the values of x and y. Please

Mathematics
1 answer:
ivanzaharov [21]4 years ago
5 0
When a triangle has angles 30°, 60°, and 90°, its side lengths are related to each other by a special ratio.

This ratio is such that the side opposite the 30°-angle is 1, the hypotenuse is 2, and the side opposite the 60°-angle is √3. This gives a ratio 1:2:√3.

Now, if we put in 7 for the side length opposite the 30°-angle, then the hypotenuse y must be 2 · 7, or 14, and the unknown leg x must be 7√3.

In sum: x=7 \sqrt{3}, y=14.
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Trig///HELPP PLEASE!! i’ve been stuck on this for 30 minutes!!
ddd [48]

Answer: There are two solutions and they are

theta = 135

theta = 225

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

Explanation:

Recall that x = cos(theta). Since the given cosine value is negative, this indicates x < 0. Theta is somewhere to the left of the y axis, placing it in quadrant 2 or quadrant 3.

It turns out there are two solutions, with one solution per quadrant mentioned above. Use the unit circle to find that the two solutions are:

theta = 135

theta = 225

You're looking for points on the unit circle that have x coordinate equal to x = -sqrt(2)/2. Those two points correspond to the angles of 135 and 225, which are in quadrants 2 and 3 respectively.

--------

I recommend using your calculator to note that

-sqrt(2)/2 = -0.70710678

cos(135) = -0.70710678

cos(225) = -0.70710678

The decimal values are approximate. Make sure your calculator is in degree mode. Because those three results are the same decimal approximation, this indicates that cos(135) = cos(225) = -sqrt(2)/2.

8 0
3 years ago
Factor this expression
Julli [10]

Answer:

6(6x^2-4x-3)

Step-by-step explanation:

pull out the gcf which is 6 and it is complete because it is impossible to factor 6x^2-4x-3

5 0
2 years ago
Read 2 more answers
Determine the measure of x
grigory [225]

Answer: 43 degrees

Step-by-step explanation:

3 0
3 years ago
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2 boxes of tea weigh 3 oz. The Tea Time Tasty Tea Company packs 112 boxes in a case of tea. How many pounds does each case weigh
Nookie1986 [14]
112 / 2 = 56
56 x 3 = 168
168 / 16 (16 Oz. in a lbs.) = 10.5 or 10 1/2
A case weighs 10.5 lbs

6 0
3 years ago
System of equations needs to be answered in substitution I’ll give five stars
attashe74 [19]
The answer is (-3,-6)
3 0
3 years ago
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