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Irina-Kira [14]
2 years ago
7

What is the length of the missing side of the triangle?

Mathematics
1 answer:
tia_tia [17]2 years ago
8 0

Answer:

nonw of the above?????

Step-by-step explanation:

15 m and 8m add up to 23 meaning that side must be less than 23

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gizmo_the_mogwai [7]

Answer:

α = π/3

γ = 2

x = -3π/4, -5π/12, π/4, 7π/12

Step-by-step explanation:

Easiest way to do this is in reverse.

γ sin(2x − α)

Angle sum/difference formula:

γ (cos α sin(2x) − sin α cos(2x))

Distribute:

γ cos α sin(2x) − γ sin α cos(2x)

Matching the coefficients:

γ cos α = 1

γ sin α = √3

Solve the system of equations.  Divide to eliminate γ:

tan α = √3

α is between 0 and π/2, so:

α = π/3

γ = 2

sin(2x) − √3 cos(2x) = 1

Using the identity from before:

2 sin(2x − π/3) = 1

Solving:

sin(2x − π/3) = 1/2

2x − π/3 = π/6 + 2kπ or 5π/6 + 2kπ

2x = π/2 + 2kπ or 7π/6 + 2kπ

x = π/4 + kπ or 7π/12 + kπ

x is between -π and π, so:

x = -3π/4, -5π/12, π/4, 7π/12

7 0
3 years ago
Santiago is building a skateboarding ramp by propping the end of a piece of wood on a cinder block. If the ramp begins 63 centim
tensa zangetsu [6.8K]

Answer:

65 cm

Step-by-step explanation:

See the attached image.  The Pythagorean Theorem says in a right triangle, (leg)^2 + (leg)^2 = (hypotenuse)^2.

16^2+63^2=x^2\\256+3969=x^2\\4225=x^2\\x=\sqrt4225}\\x=65

3 0
3 years ago
Does anyone know the answer to this?
Dvinal [7]
Here, Take any two coordinates: (0, 1) & (4, -2)
Slope, m = y2 - y1 / x2 - x1
m = 1 - (-2) / 0 - 4
m = 3/-4
m = -3/4

In short, Your Answer would be Option D

Hope this helps!
3 0
3 years ago
Choose all that give the correct equation of the line parallel or perpendicular to the given line passing through the point.
andriy [413]

Answer:

A and B

Step-by-step explanation:

Parallel lines are lines which have the same slope. Perpendicular lines have negative reciprocal slopes.

For the options:

A. Both equations have 7/5 as the slope. They are parallel.

B. The slopes are 1 and -1. These are perpendicular.

C. The slopes are 9/2 and are parallel.

D. The slopes are 7/3 and -3/7. They are perpendicular.

The solution is A and B.

7 0
3 years ago
PLEASE ANSWER FAST AND CORRECTLY, WORTH 74 POINTS!!!! An architect built a scale model of a sports stadium using a scale in whic
Marina86 [1]
It is 12 inches long
3 0
3 years ago
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