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2 years ago

6

The walking paths at a park meet each other as shown. What is the measure of the angle between the Second Path and Third Path (r

ound to the nearest hundredth position)?

1 answer:

jeka57 [31]2 years ago

7 0

Answers:

41.25°

Step-by-step explanation:

Second path ahd third path intersecting form the angle with measure 3x-1.

Three angles 3x-1, 9x-7 and 19° together form straight angle.

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Identify the factors of the terms of the expression of 13m-2n

Alex Ar [27]

Hi it is 7n I hope I was right

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2 years ago

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.

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3 years ago

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Genrish500 [490]

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2 years ago

What is the inverse of the function f(x) = x +3?

Yanka [14]

Answer:

C)h(x) = x-3

Step-by-step explanation:

To find the inverse of a function, switch the "x" and "y" values, then isolate for "x".

f(x) is the y value.

y = x + 3

x = y + 3 Switch x and y

x - 3 = y Subtract 3 from both sides to isolate

y = x - 3 Change back to function of h

h(x) = x - 3

8 0

3 years ago

Read 2 more answers

Marshall drove to work in rush hour traffic, going just 27 miles in 1 hour and 20 minutes. Later that day, he left work early to

iragen [17]

Answer:

The average speed of Marshall is 29.7 mph

Step-by-step explanation:

Given;

distance traveled to work, d₁ = 27 miles

distance traveled back home, d₂ = 27 miles

initial time taken, t₁ = 1 hour and 20 minutes

final time taken, t₂ = 29 minutes

Total distance traveled, d = d₁ + d₂ = 27 miles + 27 miles = 54 miles

Total time taken for the journey, t = t₁ + t₂ = 1 hour + ( 20 mins + 29 mins)

t = 1 hour + 49 mins = 1 hour + 0.817 hour = 1.817 hour

The average speed is given by;

v = total distance / total time

v = 54 miles / 1.817 hour

v = 29.7 mph

Therefore, the average speed of Marshall is 29.7 mph

8 0

3 years ago