Answer:
8a. x = 16√3
8b. y = 8√3
Step-by-step explanation:
8a. Determination of the value of x
Adjacent = 24
Hypothenus = x
Angle θ = 30°
The value of x can be obtained by using cosine ratio as illustrated below:
Cos θ = Adjacent /Hypothenus
Cos 30 = 24 / x
√3/2 = 24/x
Cross multiply
x × √3 = 2× 24
x × √3 = 48
Divide both side by √3
x = 48/√3
Rationalise
x = 48/√3 × √3/√3
x = 48√3 / √3 × √3
x = 48√3 / 3
x = 16√3
8b. Determination of the value of y
Opposite = y
Adjacent = 24
Angle θ = 30°
The value of y can be obtained by using Tan ratio as illustrated below:
Tan θ = Opposite / Adjacent
Tan 30 = y / 24
1 / √3 = y /24
Cross multiply
y × √3 = 1 × 24
y × √3 = 24
Divide both side by √3
y = 24 /√3
Rationalise
y = 24 /√3 × √3/√3
y = 24 ×√3 / √3 × √3
y = 24√3 / 3
y = 8√3
The altitude might be another name for a height of a pyramid, lol, hope this helps
Answer:
I think it's A AND C. The diameter is just the radius multiplied by 2 at the end of the day.B is just wrong.
-8 -8 = -16
You add -8 to -8
Answer:
2
Step-by-step explanation:
First, we need to find out the length of the third side of the triangle. (The right side of the Y-axis) We use the pythagorean theorem to find it. 4²+2² = 20 find the square root of 20 √20 = ~4.5 so with this in mind, lets find the length of the whole triangle. 8²+4²=80 then √80 = ~9 with this, we can say that since the length of one of the legs has increased by 2, and so has the length of the base, and also the length of the hypotenuse, the scale factor must be 2.
