Answer:
The correct answer is option D. 5.7 units
Step-by-step explanation:
It is given a square, Its diagonals meet to form four right angles
<u>To find the value of x</u>
From the figure we can see that the triangle with sides x, x, 8 have angles 45°,45° and 90°
If the angles are 45°,45° and 90° then sides are in the ratio 1 : 1 : √2
Here x : x : 8 = 1 : 1 : √2
Therefore x = 8√2 = 8/1.414 = 5.6577 ≈ 5.7 units
Therefore the correct answer is option D 5.7 units
Answer:
9
Step-by-step explanation:
Y=x^2+4
dy/dx=2x
d2y/dx2=2
So the vertex is at an absolute minimum at (0,4)
Answer:
a) 21 mm
b) 39 cm^2
Step-by-step explanation:
a) The ratio of the diameter from A to B is 5:3
Let the diameter of B be x
If 35 is the radius of A, then its diameter is 35 * 2 = 70 mm
Thus;
5/3 = 70/x
5* x = 70 * 3
5x = 210
x = 210/5
x = 42 mm
So the radius of circle B will be 42/2 = 21 mm
b) The area of circle A
Mathematically we apply the area of a circle formula here
A = pi * r^2
A = 22/7 * 35 * 35
A = 3,850 mm^2
To convert this to cm^2, we will
need to divide by 100
That would be 3850/100 = 38.5 cm^2 = 39 cm^2
Answer:
h^2+1/2 bh = 80
Step-by-step explanation:
Area of a square= l x w --> h x h or h^2
Area of a triangle= 1/2 base x height --> b is the base h is the height --> 1/2 bh
Since both of them added together equals 80, the answer is h^2+1/2 bh = 80