Answer:
Step-by-step explanation:
By applying Pythagoras theorem in the given right triangles,
(Hypotenuse)² = (leg 1)² + (leg 2)²
a). (123.1)² = x² + (48.7)²
x² = 15153.61 - 2371.69
x² = 12781.92
x = 113.06 cm
b). (117)² = (82)² + x²
x² = 13689 - 6724
x = 83.46 mm
C). (117)² = t² + (10.3)²
t² = 13689 - 106.09
t² = 13582.91
t = 116.55 cm
Given that <span>the area of the playground is 910 square feet, let the length of the playground be x, then the width of the playground is given by
</span>Given that <span>the fence along three of the sides costs $5 per foot and </span>the fence along the fourth side, which will be made of brick, costs $15 per foot. <span>Let the side with the brick fence be the side which measures x feet.
</span>
Then the cost for fencing the entire playground is given by
For, minimum cost,
But x can't be negative.
Therefore, <span>the length of the brick fence that will minimize the cost of enclosing the playground is 21.33 feet.</span>
Answer:
1,280 cubic meters
Step-by-step explanation:
Length x Width x Height = Volume
The box on the left:
8m x 5m x 22m = 800
Box on the right:
12m x 5m x 8m = 480
Add them:
800 + 480 = 1,280
The volume of the figure is 1,280 cubic meters
Answer:
Okay, I am going to solve the problem assuming that we are finding u.
Step-by-step explanation:
v² = u² + 2as
We minus 2as on each side to keep u² by itself.
u² = v² - 2as
u = sqrt( v² - 2as )
Answer:
No solution
Step-by-step explanation:
Combine like terms on the right hand side of equation
3x + 2 = 3x -1
This cannot be simplified so there are no solutions.