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Answer:
4
Step-by-step explanation:
If the slope is 0, the line is horizontal and the y-coordinate is 4 for all x values.
Thus the missing y-coordinate is 4.
Answer:
95 in.²
Step-by-step explanation:
Total surface area of the rectangular pyramid = 4(area of triangle) + area of rectangle
Area of triangle = ½*base*height
base = 5 in.
height = 7 in.
Area of triangle = ½*5*7 = 17.5 in.²
Area of rectangle = Length*width = 5*5 = 25 in.²
Plug in the values
Total surface area of the rectangular pyramid = 4(17.5) + 25
= 95 in.²
Answer:
84 (nearest whole number)
Step-by-step explanation:
If x = 10,
Longest leg = (7 x 10) + 4 = 74
Shortest leg = 4 x 10 = 40
Using Pythagoras' Theorem a² + b² = c² (where a and b are the legs and c is the hypotenuse of a right triangle):
⇒ 74² + 40² = c²
⇒ 7076 = c²
⇒ c = √7076 = 84.11896...
⇒ hypotenuse = 84 (nearest whole number)
Answer:
Step-by-step explanation:
We are told that the perimeter is 48 = 2L + 2W. This reduces to
24 = L + W. Next, substitute, one by one, the 3 widths 10 cm, 3.6 cm and w cm:
a) If W = 10 cm, 24 = L + W becomes 24 = L + 10, or L = 14 cm
b) If W = 3.6 cm, 24 = L + W becomes 24 = L + 3.6, or L = 20.6 cm
c) If W = w, 24 L + W becomes 24 = L + w, so that L = (24 - w) cm