Here are all the correct answers in the order they are asked.
1. Sphere - all the points from the center create a rounded space
2. Triangular pyramid - A triangular base and three triangular lateral faces
3. Cube all six faces are squares
4. Triangular prism - two triangular bases and four rectangular lateral faces
5. Cylinder two circular bases and a rounded lateral face
6. Rectangular pyramid -rectangular base and four triangular lateral faces
7. Cone- One circular base 1 rounded space that comes to a point.
8. Rectangular prism - 6 rectangular faces
<span>The correct answer is: 21
Explanation:
Let's first assume few variables!
x = Ishann's age (in years)
y = Christopher's age (in years)
1. Ishann is 3 times as old as Christopher can be represented mathematically as:
x = 3y ---- (1)
2. Ishann is 14 years older than Christopher can be represented mathematically as:
x = y + 14 ---- (2)
Get the value of y from Equation (1) and plug it in Equation (2):
(2) => x = (x/3) + 14
3x = x + 42
2x = 42
x = 21
Hence Ishann is 21 years old!</span>
Answer:
g(x)= 9 cos (x - 
) +7
Step-by-step explanation:
What is given is f(x) = g cos (x - pi/2) + 3
Note that the standard form of cosine function is a cos (bx + c) + d
a= amplitude
-c/b = phase shift
d = vertical shift
After moving pi/6 to the left --
x = pi/2 - pi/6 = pi/3
once moving pi/6 left, it is at pi/3
moving 4 units up just means adding 4 + 3, and that equals 7, that would be the vertical shift once applied.
So the equation that represents g(x) is C. 9 cos (x - pi/3) + 7
Answer:
A. 56.52 cm
Step-by-step explanation:
Formula:
Circumfrence= 2πr
r (radius) = 9 cm
C = 2πr
C = 2 x 3.14 x 9 cm
C = 6.28 x 9 cm
C = 56.52 cm
Circumfrence is 56.52 cm
Answer:
4x+2
Step-by-step explanation:
assuming x represents the unknown number
