Answer:
y = 8
Step-by-step explanation:
Line1 with points (4, 1) and (0, 0):
slope = (y₂ - y₁) / (x₂ - x₁)
= (0 - 1) / (0 - 4)
= 1/4
Perpendicular line is opposite inverse so original slope 1/4 becomes -4/1 or simply -4.
Line2 with points (1, 0) and (-1, y):
slope = (y₂ - y₁) / (x₂ - x₁)
= (y - 0) / (-1 - 1)
= y / -2
y must equal to 8 for the slope to be -4 as stated above.
Answer:
1310.8 feet^3 to nearest tenth.
Step-by-step explanation:
To find the volume we need to find the depth.
The length of the diagonal helps us to do this. We apply the Pythagoras theorem to the triangle formed by the length, the diagonal and the depth (d):
17.8^2 = d^2 + 16.6^2
d^2 = 17.8^2 - 16.6^2
d^2 = 41.28
So the depth d = 6.42 feet.
Thus, the volume = 16.6 * 12.3 * 6.42
= 1310.8 feet^3.
4/5 is greater than 0.75. That is because, if you turn 4/5 into a decimal, them that decimal will be equal to 80/100. 0.75 is 75/100 as a fraction. 80/100 (4/5 simplified) compared to 75/100 is greater. The answer is yes.
The answer would actually be a 110 units because the bottom left corner had 20 units and the bigger square had 90.
Answer:
Step-by-step explanation:
Area of room = 6×9.5=57m2
Area of room including verandah = 12×8.5=102m2
So area of verandah = 102−57=45m2
So cost of cementing the floor of this verandah = 45×80=3600rupees
