Need help GET BRAINLISTS #8
1 answer:
Answer: 6.7 mm
Step-by-step explanation:
The area of a square is equal to side(side), but is also equal to 1/2(apothem)(perimeter).
The apothem is the perpendicular distance from the center of the square to the midpoint of its side.
We can use these formulas to find the apothem and use the pythagorean theorem to find the hypotenuse (slant height).
Area of square = 9(9) = 81
Area of square = 1/2(apothem)(perimeter)
Perimeter = 4(9) = 36
81 = 1/2(apothem)(36)
162 = apothem(36)
apothem = 4.5
Pythagorean theorem:
Plug the apothem and the given height into the equation:
(x being the slant height)
20.25 + 25 =
x =
x ≈ 6.7
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Answer:
Area = 492.4 m²
Explanation:
The area of the triangle can be calculated using the side-angle-side method as follows:
Area = 0.5 * first side * second side * sin(angle included between these two sides)
This rule is illustrated in the attached image.
Now, we have:
AB = 40 m
BC = 25 m
angle B which is the angle included between AB and BC = 80 degrees
The given angle is included between the two given sides, therefore, we can apply the above rule to get the area.
Area of triangle = 0.5*40*25*sin(80)
Area of triangle = 492.4 m²
Hope this helps :)
Area = 492.4 m²
Explanation:
The area of the triangle can be calculated using the side-angle-side method as follows:
Area = 0.5 * first side * second side * sin(angle included between these two sides)
This rule is illustrated in the attached image.
Now, we have:
AB = 40 m
BC = 25 m
angle B which is the angle included between AB and BC = 80 degrees
The given angle is included between the two given sides, therefore, we can apply the above rule to get the area.
Area of triangle = 0.5*40*25*sin(80)
Area of triangle = 492.4 m²
Hope this helps :)