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3 years ago

A conjecture and the flowchart proof used to prove the conjecture are shown.

Mathematics

2 answers:

ivann1987 [24]3 years ago

3 0

B
For the following reasons:

.

iogann1982 [59]3 years ago

3 0

B is going to be your answer

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Find the solutions for a triangle with a = 16, c =12, and B = 63º.

maks197457 [2]

Answer:

b. A = 71.6°; C = 45.40°; b =15.0

Step-by-step explanation:

The missing values can be found with the help of the Law of Cosine and properties of triangles:

Side b (Law of Cosine)

$b = \sqrt{a^{2}+c^{2}-2\cdot a \cdot c \cdot \cos B}$

$b = \sqrt{16^{2}+12^{2}-2\cdot (16)\cdot (12) \cdot \cos 63^{\circ}}$

$b \approx 15.022$

Angle A (Law of Cosine)

$\cos A = -\frac{a^{2} - b^{2}-c^{2}}{2\cdot b \cdot c}$

$\cos A = - \frac{16^{2}-15.022^{2}-12^{2}}{2\cdot (15.022)\cdot (12)}$

$\cos A = 0.315$

$A= \cos^{-1} 0.315$

$A \approx 71.639^{\circ}$

Angle C (Sum of internal angles in triangles)

$C = 180^{\circ} - 63^{\circ} - 71.639^{\circ}$

$C = 45.361^{\circ}$

Hence, the right answer is B.

6 0

3 years ago

If susan is charged $175, how many days did susan rent A ski lift pass

Fudgin [204]

Answer:

Step-by-step explanation:

three days?

4 0

3 years ago

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When 50 pounds of a compound are produced, the manufacturing cost is described by x

Paraphin [41]

Answer:

Step-by-step explanation:

i don't know

4 0

3 years ago

3 On a coordinate grid, the location of a lighthouse is at L, and the location of a buoy is at B. At noon, a ship is at the midp

Zarrin [17]

Answer:

$(\frac{1}{2}, 2)$

Step-by-step explanation:

Using the midpoint formula, $M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})$ , we can find the coordinates that represents the position of the ship at noon.

Let $L(-4, 7) = (x_1, y_1)$ (given on the coordinate plane)

$B(5, -3) = (x_2, y_2)$ (given also)

Plug in the values into the formula and solve as follows:

$M(\frac{-4 + 5}{2}, \frac{7 +(-3)}{2})$

$M(\frac{1}{2}, \frac{7 - 3}{2})$

$M(\frac{1}{2}, \frac{4}{2})$

$M(\frac{1}{2}, 2)$

Position of the ship at noon is best represented at $(\frac{1}{2}, 2)$

5 0

4 years ago

Find f(5). f(x) = x2 + 2x A)15 B)20 C)30 D)35

inysia [295]

f(5) means to replace x in the equation with 5 then solve.

f(x) = x^2 +2x

f(5) = 5^2 + 2(5)

f(5) = 25 +10

f(5) = 35

The answer is D)35

7 0

3 years ago