Solve the equation for x, where x is restricted to the given interval. y= 8 cos 3x, for x in[0, pi/3] x = 1/3 y/8 x= 1/8 y/3 x= 5 y/3 x= 3 y/8 Use a calculator to give the value to the nearest degree. theta - sin^-1(0.8830) 57 degree 62 degree 60 degree 118 degree Write the product as a sum or different of trigonometric functions. 2 sin 2x sin 12 x cos 14x + cos 10x 1/2(cos 14x + cos 10x) sin 14x + sin 10x cos 10x - cos 14x Find the value of the real number y. y = cos^-1[squarerrot 2/2] pi/4 11 pi/6 7 pi/4 pi/6 Use Identities to find the exact value. cos 165 degree - squareroot 6 - squareroot 2/4 squareroot 2 - squareroot 6/4 squareroot 6 - squareroot 2/4 squareroot 6 + squareroot 2/4
Three equivalent ratios of 48:36 are 12:9 ,24:18 ,16:12.
Answer:
Elga is 32 years old.
Step-by-step explanation:
Let Alvin's age = A
Let Elga's age = E
Alvin is 10 years younger than Elga, so A = E - 10
The sum of their ages is 54, so A + E = 54
Replace the A in the second equation with E - 10, then solve for E.
A + E = 54 becomes (E - 10) + E = 54
Combine like terms
2E - 10 = 54
Add 10 to both sides
2E = 64
Divide both sides by 2
E = 32
Answer:
y= 10x-38
Step-by-step explanation:
Equation of a line is usually written in the form of y=mx+c, where m is its gradient and c is its y-intercept.
Given that m=10,
y= 10x +c
Now substitute the coordinates into the equation.
When y=12, x=5,
12= 10(5) +c
12= 50 +c
c= 12 -50
c= -38
Thus the equation of the line is y= 10x -38
