Use the sine function.
sine = opposite side of triangle divided by the hypotenuse.
Here is the set up:
sin(50°) = BC/3
sin(50°)/3 = BC
Use your calculator to simply left side.
Take it from here.
First write the equation in slope-intercept form which is more commonly known as <em>y = mx + b</em> form where the <em>m </em>or the coefficient of the x term represents the slope of the <em>b</em> or the constant term represents the y-intercept.
Subtract 2x from both sides to get <em>y = -2x - 4</em>.
I put the x term first because that's how it is in y = mx + b form.
Now we can see that the <em>b</em> or the constant term is -4.
We can write this as the ordered pair (0, -4).
Keep in mind when writing a y-intercept as an ordered pair, your x-coordinate will always be 0 in the ordered pair.
Answer:
43.8°
Step-by-step explanation:
Applying,
Cosine rule,
From the diagram attached,
x² = y²+z²-2yxcos∅.................... Equation 1
where ∅ = ∠YXZ
Given: x = 8.7 m, y = 10.4 m, z = 12.4 m
Substitute these values into equation 1
8.7² = 10.4²+12.4²-[2×10.4×12.4cos∅]
75.69 = (108.16+153.76)-(257.92cos∅)
75.69 = 261.92-257.92cos∅
collect like terms
257.92cos∅ = 261.92-75.69
257.92cos∅ = 186.23
Divide both sides by the coefficient of cos∅
cos∅ = 186.23/257.92
cos∅ = 0.722
Find the cos⁻¹ of both side.
∅ = cos⁻¹(0.7220)
∅ = 43.78°
∅ = 43.8°
Answer:
A = 5.76 cm²
Step-by-step explanation:
3.2 cm x 1.8 cm = 5.76 cm²
Circumference = 2(pi)r
Area = (pi)r^2
r = 5
5 * 2 = 10
Circumference = 10π
5 * 5 = 25
Area = 25π
Using 3.14 as pi substitute:
5 * 3.14 = 15.7
15.7 * 2 = 31.4
Circumference = 31.4
5 * 5 = 25
25 * 3.14 = 78.5
Area = 78.5
