The scientist can use only the angle x and the distance y to calculate the distance between the Earth and the Sun using the cosine function.
cos x = BC / y
Solving for BC
BC = y cos x
BC is the distance between the Earth and the Sun :D
1/8 vanilla, 3/8 almonds, 1/2 pineapple.....ratio : 1/8,3/8,1/2
bottle 1 bottle 2 bottle 3
vanilla : 1 2 1 1/2
almond : 3 6 4 1/2
pineapple : 4 8 6
Please use " ^ " to denote exponentiation: <span>f(x) = 4x^2 + 2x -5. To find the vertex form of this equation, complete the square:
f(x) = 4x^2 + 2x - 5
= 4(x^2 + (2/4)x) - 5
= 4(x^2 + (1/2)x ) -5
= 4(x^2 + (1/2)x + 1/16 ) - 4/16 - 5
= 4(x+1/4) - 21/4 <= in vertex form
Here h= -1/4 and k = -21/4. The vertex is at (-1/4, -21/4)</span>
Answer: 31.18
Step-by-step explanation:
The problem is focused on mainly the right triangle made up of points M, Q, and R. This problem can be solved with the base formula, <em>b</em> = <em>a</em> · tan(β) where <em>a</em> = the length of line MR, β = m∠MQR, and <em>b</em> is the unknown length of RQ.
Given:
RQ = 18 · tan(60°)
Point M is the midpoint of line PM and line MR. Since MP is equal to 18, MR has to be 18 as well. This means that the value of <em>a</em> is 18.
The vertex of ∠MQR is Q, which is 60°.
Step 1: Find the tangent of 60°
The tangent of 60° is √3
Step 2: Solve
RQ = 18 · √3
18 · √3 = 31.18
RQ is equal to 31.18
Answer:
B would be -7
Step-by-step explanation:
Because 6 times -7 equals -42
