Answer:
S = 85cm^2
Step-by-step explanation:
The surface area of a square pyramid is given by the following formula:
![S=2hb+b^2](https://tex.z-dn.net/?f=S%3D2hb%2Bb%5E2)
where it has taken into account the sum of the area of a square and four triangles:
![4(\frac{hb}{2})+b*b=2bh+b^2](https://tex.z-dn.net/?f=4%28%5Cfrac%7Bhb%7D%7B2%7D%29%2Bb%2Ab%3D2bh%2Bb%5E2)
h: slant height = 6cm
b: base = 5cm
By replacing in the formula you obtain:
![S=2(5cm)(6cm)+(5cm)^2=85cm^2](https://tex.z-dn.net/?f=S%3D2%285cm%29%286cm%29%2B%285cm%29%5E2%3D85cm%5E2)
hence, the surface area is 85cm^2
Let's start by understanding that the graph is a linear line. We have a common difference if 4.5 for every 10x we have more.
We can start by finding the gradient, using rise over run. Let's take (10, 4.5) and (20, 9)
Our rise is 9 - 4.5 = 4.5 and our run is 10. Then, our gradient becomes 4.5/10 = 0.45
Now, we can substitute points using the point-slope form.
y - 4.5 = 0.45(x - 10)
y - 4.5 = 0.45x - 4.5
Hence, our line becomes y = 0.45x and you can verify by substituting in points from the table.
Answer:
You can use the Pythagorean Theorem to find the length of the hypotenuse of a right triangle if you know the length of the triangle's other two sides, called the legs. You can use the Pythagorean Theorem to find a value for the length of c, the hypotenuse.
Answer:
The fourth line will have 15 marbles
Step-by-step explanation:
The third line has 7 marbles. So, you double that and add one in order to find the number of marbles in the fourth line.
7*2=14
14+1=15