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Softa [21]
3 years ago
12

Find two triangles with the given angle measure and side lengths. Round side lengths to the nearest tenth and angle measures to

the nearest degree.
A = 61°, a = 14, b = 15
Mathematics
2 answers:
Nostrana [21]3 years ago
6 0
The right answer is A
mestny [16]3 years ago
3 0

Answer:

its A

Step-by-step explanation:

b^2 = 6^2 + 11^2 - 2*6*11cos 109  =   199.97

b =  14.1  to nearest tenth.

now use sine rule to find the value of < A

14.14 / sin 109 = 6 /  sin A

<A =  24 degrees

<C = 180 - 24 - 109  = 47 degrees

<3

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Suppose a and b are the solutions to the quadratic equation 2x^2-3x-6=0. Find the value of (a+2)(b+2).
KonstantinChe [14]

Answer:

(a+2)(b+2) = 4

Step-by-step explanation:

We are given the following quadratic equation:

2x^2-3x-6=0

Let a a and b be the solution of the given quadratic equation.

Solving the equation:

2x^2-3x-6=0\\\text{Using the quadratic formula}\\\\x = \dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\text{Comparing the equation to }ax^2 + bx + c = 0\\\text{We have}\\a = 2\\b = -3\\c = -6\\x = \dfrac{3\pm \sqrt{9-4(2)(-6)}}{4} = \dfrac{3\pm \sqrt{57}}{4}\\\\a = \dfrac{3+\sqrt{57}}{4}, b = \dfrac{3-\sqrt{57}}{4}

We have to find the value of (a+2)(b+2).

Putting the values:

(a+2)(b+2)\\\\=\bigg(\dfrac{3+\sqrt{57}}{4}+2\bigg)\bigg(\dfrac{3-\sqrt{57}}{4}+2\bigg)\\\\=\bigg(\dfrac{11+\sqrt{57}}{4}\bigg)\bigg(\dfrac{11-\sqrt{57}}{4}\bigg)\\\\=\dfrac{121-57}{156} = \dfrac{64}{16} = 4

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What is 3(exponent 2) multiplied by 3(exponent 3) ????
rusak2 [61]

                                                   \huge\boxed{243}

___________________________________________________________

                                             \boxed{Explanation}

So, we have the following equation...

3^2*3^3=(?)

Remember 3^2 and 3^3 is the following...

3^2=3*3\\3^3=3*3*3

Therefore, 3*3=9\\3*3*3=27\\9*27=243

So, your final answer is \boxed{243}.

___________________________________________________________

<em>Glad to help!</em>

\huge\boxed{Thanks,\;Plip.}

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