Step-by-step explanation:
law of sine :
a/sinA = b/sinB = c/sinC
with the sides and the associated angles being opposite in the triangle.
the angle opposite to the ladder is the right angle.
the height of the ladder touch point is opposite of the 78° angle.
so, we get
10/sin(90) = height/sin(78)
10/1 = height/sin(78)
10 = height/sin(78)
height = 10×sin(78) = 9.781476007... ft ≈ 9.8 ft
so, B is the right answer
Answer:
A
Step-by-step explanation:
y = (-2/5)x + 1
By inspection of the equation, the slope of the line is -2/5 and the y-intercept is 1.
Therefore, we can immediately discount option B and D, as their y-intercepts are NOT 1.
Find the point where the line crosses the x-axis by setting the equation to 0 and solving for x:
0 = (-2/5)x + 1
⇒ -1 = (-2/5)x
⇒ -5 = -2x
⇒ x = 5/2
Therefore, the line of the function intersects the x-axis at x = 5/2 = 2.5
From inspection of the graphs, the line in option A intersects the x-axis at 2.5. Therefore, this is the correct graph.
X + y = 61
y - 3x = 5...y = 3x + 5
x + (3x + 5) = 61
4x + 5 = 61
4x = 61 - 5
4x = 56
x = 56/4
x = 14
y - 3x = 5
y - 3(14) = 5
y - 42 = 5
y = 42 + 5
y = 47
ur 2 numbers are 14 and 47
Answer:
46.2 or 46.1
Step-by-step explanation:
use sohcahtoa
tan(39) x 57 = 46.1576
to the nearest tenth 46.2
Currency, such as a dollar can not be a percent. Do you mean 76.186?
