3/(x+2) = 2/x
multiply both fractions by x(x+2) to cancel out the bottoms
so it becomes 3x = 2x+4
ow subtract 2X from both sides and you get
x = 4
so it took Juan 4 hours
it took Yumi 2 hours more so 4+2 = 6 hours
The surface area (SA) of a cube can be written as:
SA = 6s²
From here we can write, the length of the side s as:
For cube with surface area of 1200 square inches, the side length will be:
inches
For cube with surface area 768 square inches, the side length will be:
inches
The difference in side lengths of two cubes will be:
Rounding to nearest tenth of an integer, the difference between the side lengths of two cubes will be 2.8 inches.
Answer: The base is 18.3ft
Sam wants to build a wooden deck on his patio, which is in the shape of a parallelogram. The area of the patio is 280 ft2. Find the base. Round your answer to the nearest foot. (height=5x)(base=6x)
Step-by-step explanation:
Given;
Area = 280ft^2
height = 5x
Base = 6x
The area of the parallelogram A can be written as;
Area = base × height
A = b×h
Substituting the values of Area, base and height.
280 = 5x × 6x
280 = 30x^2
x^2 = 280/30
x = √(280/30)
Since the base = 6x ;
Substituting the value of x.
Base = 6x = 6(√(280/30))
Base = 18.3ft
The base is 18.3ft
This revolves around exact trig values - no easy way to say this, you just need to memorise them. They are there for sin cos and tan, but I will give you the main tan ones below - note this is RADIANS (always work in them when you can, everything is better):
tan0: 0
tanpi/6: 1/sqrt(3)
tanpi/4: 1
tanpi/3: sqrt(3)
tanpi/2: undefined
Now we just need to equate -2pi/3 to something we understand. 2pi/3 is 1/3 of the way round a circle, so -2pi/3 is 1/3 of the way round the circle going backwards (anticlockwise), so on a diagram we already know it's in the third quadrant of the circle (somewhere between pi and 3pi/2 rads).
We also know it is pi/3 away from pi, so we are looking at sqrt(3) or -sqrt(3) because of those exact values.
Now we just need to work out if it's positive or negative. You can look up a graph of tan and it'll show that the graph intercepts y at (0,0) and has a period of pi rads. Therefore between pi and 3pi/2 rads, the values of tan are positive. Therefore, this gives us our answer of sqrt(3).
