Answer:
Step-by-step explanation:
Given
Two sides of triangle of sides 5 ft and 7 ft
and angle between them is increasing at a rate of 0.9 radians per second
let 
is the angle between them thus
Area of triangle when two sides and angle between them is given
Differentiate w.r.t time
at 
Answer: 0, 1, -3
Step-by-step explanation:
f(x) = x^3 +2x^2 -3x
f(x) = x(x^2 +2x-3)
f(x) = x(x-1)(x+3)
to find zeroes, plug into f(x) and solve for each value of x. doing this gives 0, 1, and -3
Hi!
To solve this, let's divide
625/250 = 2.5
So is the pattern.. x/2.5 = x2/2.5 = x3/2.5...
We can test this theory by multiplying
100 x 2.5 = 250
Since 250 comes before 100 in the sequence then our theory is correct!
So to find the next numbers, divide:
40/2.5 = 16
16/2.5 = 6.4
6.4 = 2.56
The answer is C.
Hope this helps! :)
Answer:
158.76 cm²
Step-by-step explanation:
Quadrilateral ABCD is composed of 2 right triangles
Construct the line BD, then
Δ ABD and Δ BCD are the 2 right triangles.
The area (A) of a triangle is calculated using
A = 
bh ( b is the base and h the perpendicular height )
Δ ABD with b = 18 and h = 7.5
A = × 18 × 7.5 = 9 × 7.5 = 67.5 cm²
Δ BCD with b = 15.6 and h = 11.7
A = × 15.6 × 11.7 = 7.8 × 11.7 = 91.26 cm²
Thus
area of ABCD = 67.5 + 91.26 = 158.76 cm²
If you would like to know the real length of the insect's wing, you can calculate this using the following steps:
1/20 of 4 cm = 1/20 * 4 = 4/20 = 1/5 cm = 0.2 cm
The correct result would be 0.2 cm.
