Answer:
20 cm
Step-by-step explanation:
So from the problem we get that the two sides of the rctangle are 16 cm 12 cm which are base perpendicular of the right angle triangle. H = 20 cm. So the diagonal of the rectangle = 20 cm.
Answer:
Step-by-step explanation:
P=5/25=1/5=0.20
Answer:
= 8sqrt2
Step-by-step explanation:
Area of a trapezium is given by the formula;
1/2(a+b)h
;
Where a and b are the parallel sides and h is the perpendicular height.
a = 3 cm, b= 5 cm
To get; h, we use the Pythagoras theorem;
h² = 3² - 1²
h² = 8
h = √8
= √4√2
= 2√2
Thus;
Area = 1/2(3 +5) 2√2
= 1/2 ×8 × 2√2
<u> = 8√2 cm² or 8sqrt2 cm²</u>
Answer:
Here we have the function:
S(t) = 500 - 400*t^(-1)
Then the rate of change at the value t, will be:
S'(t) = dS(t)/dt
This differentiation will be:
S'(t) = -400/t^2
Then:
a) the rate of change at t = 1 is:
S'(1) = -400/1^2 = -400
The rate of change after one year is -400
b) t = 10
S'(10) = -400/10^2 = -400/100 = -4
The rate of change after 10 years is -4, it reduced as the years passed, as expected.
Answer:
The matched options to the given problem is below:
Step1: Choose a point on the parabola
Step2: Find the distance from the focus to the point on the parabola.
Step3: Use (x, y).
Find the distance from the point on the parabola to the directrix.
Step4: Set the distance from focus to the point equal to the distance from directrix to the point.
Step5: Square both sides and simplify.
Step6: Write the equation of the parabola.
Step by step Explanation:
Given that the focus (-1,2) and directrix x=5
To find the equation of the parabola:
By using focus directrix property of parabola
Let S be a point and d be line
focus (-1,2) and directrix x=5 respectively
If P is any point on the parabola then p is equidistant from S and d
Focus S=(-1,2), d:x-5=0]
