Answer:
x=21.38602241
Step-by-step explanation:
Given: sin(3x)cos(6x) - cos(3x)sin(6x) = -0.9
Rewrite as difference identity: sin(3x-6x)=-0.9
Combine like terms in parentheses: sin(-3x)=-0.9
Take the inverse sine of both sides: -3x=-64.15806724
Divide both sides by -3: x=21.38602241
Refer to the sheet to see all trigonometric identities
<span> 5.927 × 10<span>^-3 is your answer</span></span>
The answer is 5000 ft
His displacement is actually the hypotenuse (c) of the triangle with sides 6 blocks and 8 blocks.
According to the Pythagorean theoreme:
c² = a² + b²
c² = 6² + 8²
c² = 36 + 64
c² = 100
c = √100
c = 10 blocks
Since 1 block is 500ft long, then 10 blocks are 5000 ft long:
1 : 500ft = 10 : x
x = 10 * 500ft / 1 = 5000 ft
<span>So we want to know how much clay did Joseph add after he built the cone. So the formula for the volume of the cone is V=(1/3)*pi*r^2*h where r is the radius and h is height. We know h1=12cm and r1=6cm, r2=6cm and h2=18 cm. So to get the amount of added clay Va we simply subtract the volume of the clay of the first cone V1 from the volume of the second cone V2: Vd=V2-V1=(1/3)*pi*(r1^2)*h1 - (1/3)+pi*(r2^2)*h2. Va=678.24 cm^3-452.39 cm^3= 266.08 cm^3.</span>
The answer is 1224. You do 70.5 + 65.5, divided by two, then you take that answer and multiply by 18 to get 1224
