Answer:
8N-2=33+N
Step-by-step explanation:
A right triangle is formed with the ladder as the hypotenuse. Since the angle made by the ladder with with ground is given, we can use trigonometric functions to solve for the height of the house.
If we let x be the height of the house and using sine function:
sin 24 = x/30
x = 30 sin 24
x = 12.20 ft
Therefore, the house is 12.20 ft tall
Given:
Dimensions of rectangular garden are (-7x-3) feet by (9x+2) feet.
Cost of oak fencing = $11 per foot
To find:
The cost of total oak fencing around her garden.
Solution:
Let,
Length of the garden, l = (-7x-3) feet
Width of the garden, w = (9x+2) feet
So, the perimeter of garden is (4x-2) fee.
Cost of oak fencing is $11 per foot. So, total cost is
Therefore, the total cost of oak fencing is 44x-22x.
Lets see if the gallon fill the paint tray or not.For that purpose we need to find out the volume of the paint tray and compare it with the volume of the gallon.Given:Length = 14 inchesWidth = 10 inchesDepth = 4 cm = 1.57 inches
Volume = length x width x depthVolume = 14 x 10 x 1.57 = 220.47 inches cubeVolume of Gallon = 231 inches cubeComparing the two volumes:231 inches cube - 220.47 inches cube = 10.52 inches cubeHence,The paint will not fill the tray by 10.53 in3.
