A: Universe (It surrounds everything) B: Galaxy (Smaller than the universe but larger than the rest) C: Solar System D: Mars
Cant help you for number 2 though. Hope this helps :)
Gideon is painting all sides thus we find the overall area of the square pyramid given in the picture. A square pyramid is a polyhedron that consists of a square and 4 triangles. To solve the area that Gideon will have to paint, we can calculate the area of the square and the area of the triangles then add these two values of area. We proceed as follows:
Area of the square = s^2 where s is the measure of the side
Area of the square = 4^2 = 16 in^2
Area of the triangle= 1/2 bh where b is the base of the triangle and h is height of the triangle
Area of the triangle = 1/2 (4) (5) = 10 in^2
We multiply the area of the triangle to four in order to obtain the total area of the triangles.
Total area of the triangles = 4 x 10 = 40 in^2
We then add the two areas,
Total Area = 16 + 40 = 56 in^2
Thus the total area that Gideon will have to paint for one square pyramid is 56 in^2.
Answer:
![|A| = - 28](https://tex.z-dn.net/?f=%7CA%7C%20%3D%20-%2028)
Step-by-step explanation:
Given
![A = \left[\begin{array}{cc}-2&6\\3&5\end{array}\right]](https://tex.z-dn.net/?f=A%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-2%266%5C%5C3%265%5Cend%7Barray%7D%5Cright%5D)
Required
Determine the determinant
For a two by two matrix, A such that:
![A = \left[\begin{array}{cc}a&b\\c&d\end{array}\right]](https://tex.z-dn.net/?f=A%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Da%26b%5C%5Cc%26d%5Cend%7Barray%7D%5Cright%5D)
The determinant |A| is:
![|A| = a * d - b * c](https://tex.z-dn.net/?f=%7CA%7C%20%3D%20a%20%2A%20d%20-%20b%20%2A%20c)
So, in
![A = \left[\begin{array}{cc}-2&6\\3&5\end{array}\right]](https://tex.z-dn.net/?f=A%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-2%266%5C%5C3%265%5Cend%7Barray%7D%5Cright%5D)
The determinant is:
![|A| = -2 * 5 - 6 * 3](https://tex.z-dn.net/?f=%7CA%7C%20%3D%20-2%20%2A%205%20-%206%20%2A%203)
![|A| = -10 - 18](https://tex.z-dn.net/?f=%7CA%7C%20%3D%20-10%20-%2018)
![|A| = - 28](https://tex.z-dn.net/?f=%7CA%7C%20%3D%20-%2028)
Answer:
$223,600
Step-by-step explanation:
1. Multiply 520000 by 0.19 and get an answer of 98800. This is how much by which the car depreciates every year.
2. Now multiply 98800 by 3 (years). Now your answer would be 296400.
3. Now minus the depreciated value from the original value which is 520000-296400=223600.
Not sure about the answer but I hope this helped a bit
Answer:
y = 9x + 175
Step-by-step explanation:
Choose one value for y in the table, for example, 211. All the equations have 9x, so multiply the corresponding x for 9:
9•4 = 36
Now make the value of y - 36:
211 - 36 = 175
Now you have the equation:
y = 9x +175