Answer:
m∠1 = 94°
m∠2 = 43°
m∠3 = 50°
m∠4 = 50°
m∠5 = 130°
m∠6 = 130°
Step-by-step explanation:
Answer:
y = - x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 1, thus
y = - x + c ← is the partial equation
To find c substitute (2, 0) into the partial equation
0 = - 2 + c ⇒ c = 0 + 2 = 2
y = - x + 2 ← equation of line
Answer:
<em>y=2 cos (π/4x-π/4)</em>
Step-by-step explanation:
<em>Given</em>
<em>A cosine function has an amplitude of 2, a midline of 5 and a period of 8.</em>
<em>To find: </em>
<em>A cosine function.</em>
<em>Explanation:</em>
<em>Let the function be,</em>
<em></em>
<em>Since amplitude is 2.</em>
<em>Then,</em>
<em></em>
<em>Also, since the period is 8.</em>
<em>Then,</em>
<em></em>
<em>And, since midline is 5.</em>
<em>Hence, the cosine function is,</em>
<em>y=2 cos (</em>
<em>x-</em>
<em></em>
Answer:
the submarine is 92.994 feet ≈ 93 feet deep from the surface of the water
Step-by-step explanation:
We can think in a triangle where the hypotenuse is the detection distance and the angle with the horizontal surface of water is the depression angle, then the underwater distance is the vertical side of the triangle.
If we denote Ф as the angle of depression ,d as the detection distance and x as the unknown depth of the submarine, using trigonometry:
x = d* sin Ф
thus
x= d * sin Ф = 238 feet * sin 23° = 92.994 feet ≈ 93 feet
When you subtract an integer from an integer you add it Ex: -30-40=-70
