Answer:
Height of bigger square pyramid = 3.072 meter
Step-by-step explanation:
Using equivalent ratios to find the side of the bigger square prism
128:8 = 250:X
X = (250 x 8) ÷ 128 = 15.625
Volume of a square pyramid = a x a x h/3
Hence to evaluate the height
250 = 15.625 x 15.625 x h/3
H = 3.072 meters
Answer:
Infinitely many solutions
Step-by-step explanation:
Step 1- Distribute into the parenthesis.
2x+12= 2(x+6)
2x+12= (2)x+(2)6
Step 2- Multiply
2x+12= 2x+12
Since they are equal, they are infinite.
Slope is known as rise over run. Because the line is pointing "\", it is negative.
The rise, the distance from one point to another, specifically from (0,4) to (1,1) is 3, as 4-1=3. your run is 1-0=1.
So your rise over run is -3/1 or, -3.
Your y-int is where when x=0, y=?
In this case y=4 when x=0.
Your equation is
y=-3x+4
Total number of ice cream flavors = 4
(chocolate,vanilla,mint chip, coconut)
Number of toppings = 2
(hot fudge , caramel).
Different sundaes could Maggie create using one scoop of ice cream and one toppings = {(chocolate, hot fudge),(chocolate, caramel), (vanila, hot fudge),(vanilla,caramel), (mint chip, hot fudge), (mint chip,caramel), (coconut,hotfudge),(coconut,caramel) }= 8
Answer:
± 27.33 ft
Step-by-step explanation:
For the given problem, we can estimate the initial and final coordinates of the line of the ball path as (-40,-50) and (0,0). Therefore, the slope is:
(-50-0)/(-40-0) = 50/40 = 1.25
Similarly, we can estimate the slope of a perpendicular line to the line of the ball path as: -1*(1/1.25) = -0.8.
Therefore, using (0,0) and the slope -0.8, the equation of the perpendicular line is: -0.8 = (y-0)/(x-0);
-0.8 = y/x
y = -0.8x
Furthermore, we are given the circle radius as 35 ft and we can use the distance formula to find the two points 35 ft far from the origin:
35^2 = x^2 + y^2
y = -0.8x
35^2 = x^2 + (-0.8x)^2
1225 = (x^2 + 0.64x^2)
1225 = 1.64x^2
x^2 = 1225/1.64 = 746.95
x = sqrt(746.95) = ± 27.33 ft
