Which choice is equivalent to the expression below? -81
1 answer:
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Given: In Δ ABC, ∠B =90° , ∠C = 30° , ∠A = 60° and Hypotenuse AC = 10 inches
It has been described in the attachment.
Now, we shall calculate side AB and BC by using Trigonometric Ratios.
Sin 30° = AB / AC
or, AB = 10 × Sin 30° = 10 × 0.5 = 5 inches
And, Cos 30° = CB / AC
or, CB = 10 × Cos 30° = 10 × 0.866 = 8.66 inches
Now, we shall calculate the perimeter of the given triangle
Perimeter of the triangle = AB + BC + CA
or, = (5.0 + 8.66 + 10.0 ) inches
or, = 23.66 inches ≈ 23.7 inches
Hence, the best estimate for the perimeter of the triangle ( round to the nearest tenth will be 23.7 inches.
Answer:
Step-by-step explanation:
<u>slope-intercept </u><u>form</u>
y= mx +c, where m is the slope and c is the y-intercept
Given line: y= 2x +2
slope= 2
The product of the slopes of perpendicular lines is -1. Let the slope of the unknown line be m.
m(2)= -1
m= -1 ÷2
m= -½
Substitute the value of m into the equation:
y= -½x +c
To find the value of c, substitute a pair of coordinates.
When x= 4, y= 3,
3= -½(4) +c
3= -2 +c
c= 3 +2
c= 5
Thus, the equation of the line is y= -½x +5.