Answer:
Option 4, 64 cm^2
Step-by-step explanation:
The polygon in the shape of a star can be made to be easier to find the area of by cutting it into triangle. For all the "point edges" of the star, we can cut them in half from the vertex to create two right-angled triangles at each edge.
The formula of the area of a triangle is bh/2: the height is given as 6cm, the base is 4cm /2 (after you cut it in half) and so is 2 cm. Since the edges can be cut into two, there are 8 right angled triangles at the edges in total.
To find the area of them:
A=8(bh/2)=8(2*6/2)=48 cm^2
However, we are still missing the part at the centre we haven't found the area of, the square. The area of a square is given by the square of the side length(4cm). Thus, A=4*4=16cm^2
Adding the areas of all the edges and the square:
48 + 16 = 64cm^2
Hence, the area of the polygon is 64cm^2
Depends on the size of the lock, some locks go to 50 while others got to 40 it would 20/40
Answer:
The answer is 45,000
Step-by-step explanation:
I hope this helps
m∠QPS=90° , m∠QPR=7x−9, m∠RPS=4x+22
From the triangle , m ∠QPR = 40°
Given :
m ∠QPS=90°
m ∠QPR=7x−9
m ∠RPS=4x+22
From the diagram we know that
Substitute the angles inside the equation
Now substitute x by 7 and find out m<QPR
m ∠QPR = 40°
Learn more : brainly.com/question/24720748
Constant of proportionality is the constant value of the two proportional quantities, in this problem p and s, where 4 is the factor of proportionality because it is constant or k.
In simple terms, p is in direct proportion to s wherein the increase or decrease in value of s results to the increase or decrease in value of p with 4 the only factor remaining unchanged.
In the above problem, the number 4 is derived from the word square. We all know that a square has 4 sides of equal lengths, therefore, the perimeter is equivalent to the product of 4 and its lenght.