Ascalene triangle has the lengths 6, 11, and 12. keyla uses the law of cosines to find the measure of the largest angle. complete her work and find the measure of angle y to the nearest degree.1.  122 = 112 + 62 − 2(11)(6)cos(y)2. 144 = 121 + 36 − (132)cos(y)3. 144 = 157 − (132)cos(y)4. −13 = −(132)cos(y) degrees

The measure of angle Y is 84°.

Step-by-step explanation:

The side of a triangle are 6, 11, and 12.

Keyla uses the law of cosines to find the measure of the largest angle.

Law of cosine:

where, a,b, c are sides and A is angle.

Let a=12, b=11, c=6 and angle A=\angle Y

Using law of cosine, we get

Subtract 157 from both sides.

Divide both sides -132.

Taking cos⁻¹ both sides.

Therefore the measure of angle Y is 84°.

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.

0.85 or 85%

step-by-step explanation:

1) divide 23 by 27

2) round the decimal to the nearest 10

3) so your answer would be 0.85 or 85%