Answer:
x <= - 4 2/3
Step-by-step explanation:
3(x-4) ≥ 6x+2
Distributive property
3x - 12 ≥ 6x+2
-12 ≥ 3x + 2
re-write
3x + 2 <= -12
3x <= -14
x <= -14/3
x <= - 4 2/3
ANSWER
The smaller number is 7.
EXPLANATION
Let the numbers be x and y.
Then we have;
y-3x=3... eqn (1)
If the sum of the numbers is 3 then,
y+x=31... eqn (2)
Eqn(2) - Eqn (1)
x--3x=31-3
Divide both sides by 4,
We put x=7 into the second equation,
y+7=31
y=31-7
y=24
The smaller of the two numbers is 7.
Answer:
50
Step-by-step explanation:
(8)/4+(8)(6)
2+48
50
Answer:
Circumference: 47.1 inches Area: 176.71 inches ²
Step-by-step explanation:
To find the circumference of a circle, you multiply the diameter(15) to pi (3.14).
To find the area of a circle, you find the radius of the circle, which is half of the diameter (7.5), square it, which equals 56.25, multiply that by pi (3.14) and there is your area. Make sure to write your answer to area in square inches.
9514 1404 393
Answer:
x = 2
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relations between trig functions and angle.
Tan = Opposite/Adjacent
tan(θ) = y/x
Sin = Opposite/Hypotenuse
sin(θ) = y/4
The given relation is ...
tan(θ) = 2·sin(θ)
y/x = 2(y/4)
2 = x . . . . . . . multiply by (2x/y)
_____
<em>Additional comment</em>
Then the angle can be found from the relation ...
Cos = Adjacent/Hypotenuse
cos(θ) = x/4 = 2/4 = 1/2
θ = arccos(1/2) = 60°
and the value of y is ...
y = 4·sin(60°) = 2√3
