Answer:
You can break the figure up into 3 rectangles which I have colored red, yellow and pink.
The red rectangle will be 5m x 9m
the yellow rectangle will be 4m by (14m - 5m -5m) which equals 4m x 4m
and the pink rectangle is the same as the red rectangle - 5m x 9m
the area of the red rectangle is 5x9 = 45m2
the area of the yellow rectangle is 4x4=16m2
the area of the pink rectangle is 5x9=45m2
the area of the figure is 45+16+15=106m2
Step-by-step explanation:
<h3>Given</h3>
- length, width, and height of a cuboid are x, x, and 2x, respectively
- the cuboid's surface area is 129.6 cm²
- dx/dt = 0.01 cm/s
<h3>Find</h3>
- dV/dt for the given conditions
<h3>Solution</h3>
The equation for surface area can be written
... A = 2(LW +H(L +W))
Substituting the given values gives an equation that we can solve for x
... 129.6 = 2(x·x +2x(x +x)) = 10x²
... x = √(129.6/10) = 3.6 . . . . . . . cm
The equation for volume can be written
... V = LWH
Substituting the given values gives an expression for volume in terms of x.
... V = x·x·2x = 2x³
Then the rate of change of volume is
... dV/dt = 6x²·dx/dt
... dV/dt = 6·(3.6 cm)²·(0.01 cm/s)
... dV/dt = 0.7776 cm³/s
Answer:
Step-by-step explanation:
We can use the square property to find the product or just use the distributive property to find the given product. Result will be the same in both cases.
Using the square property:
Using this rule on given expression, we get:
Thus the product of given expression is:
The six trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecant. This is a first quadrant angle. sine of -17 pi over 3 is equal to square root of 3 over 2, cosine of -17 pi over 3 is equal to 1/2. tan -17 pi over 3 is equal to square root of 3. cosecant-17 pi over 3 is equal to 2/sqrt3, secant of -17 pi over 3 is 2 while cotangent -17 pi over 3 is equal to 1/sqrt 3