Answer:
c
Step-by-step explanation:
The volume (V) of a square based pyramid is calculated as
V = 
Ah ( A is the area of the base and h is the height )
Here V = 1350, thus
× 15²h = 1350 ( multiply both sides by 3 to clear the fraction )
225h = 4050 ( divide both sides by 225 )
h = 18 ft → c
Answer
Equation : x + 1 + 3x = 7
Miles Lissette biked : 3/2 miles
Step-by-step explanation:
Step 1: Determine the total number of miles biked.
From my understanding. 7 miles is the total number of miles biked by both.
Step 2: Assume the values
Miles Lissette biked = x
Miles Shane biked = 1 + 3x
Step 3: Add miles biked by Lissette and Shane which will be equal to total miles.
Equation for miles Lissette biked: x + 1 + 3x = 7
4x + 1 = 7
x = 6/4
Step 4: Simplify
x = 6/4
x = 3/2
Therefore, the equation for miles Lissette biked is x + 1 + 3x = 7 and Lissete biked for 3/2 miles.
Hope it helped if yes mark me BRAINLIEST
Tysmm
Answer:
the value of x is
115°+y=180 (being linear pair)
y =180°-115°
therefore, the value of y is 65°.
now again x=y=65°(being corresponding angle)
so, the value of x is 65°.
hope u understood..
Answer:
g(x)=x² -3
Step-by-step explanation:
Vertical and horizontal translations are the displacements of a function in the coordinate system (x, y). By transferring the graphical representation of a given function, we obtain representations of related functions. The graph of the translated function will always be the same as the original.
When performing a vertical translation of a function, the graph will move from one point to another determined point in the direction of the "y" axis, that is, up or down.
So, the algebraic expression of the parabola that results from moving the parabola f (x) = x² vertically is f (x) = x² + q
-
If q> 0, the parabola moves q units up.
-
If q <0, the parabola moves q units down.
So the vertex of the parabola is at the point (0, q).
So if the function f (x) = x² is translated 3 units down, the function g (x) will be:
<u><em>g(x)=x² -3</em></u>
<h3>
Answer: 30 feet</h3>
===================================================
Explanation:
He has 90 feet of fencing overall. This is the perimeter of the rectangle as its the distance around all four sides.
Two of the opposite sides are the width = 15 ft. So we have 15+15 = 30 feet taken up and 90-30 = 60 feet left for the other two opposite sides to add to. Call each of those sides x
x+x = 60
2x = 60
x = 60/2
x = 30
The other side must be 30 feet long.
This rectangle is 30 by 15
perimeter = 30+15+30+15 = 45 + 45 = 90
which helps confirm we have the right answer
---------------
Or you can solve this way
P = 2*(L+W) is the perimeter of a rectangle with length L and width W
Plug in the perimeter P = 90 and the width W = 15. Solve for L
P = 2*(L+W)
90 = 2*(L+15)
2(L+15) = 90
L+15 = 90/2
L+15 = 45
L = 45-15
L = 30
