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: ![a^{2} + b^{2} = c^{2}](https://tex.z-dn.net/?f=a%5E%7B2%7D%20%2B%20b%5E%7B2%7D%20%20%3D%20c%5E%7B2%7D)
Plug the apothem and the given height into the equation:
(x being the slant height)
20.25 + 25 = ![x^{2}](https://tex.z-dn.net/?f=x%5E%7B2%7D)
x = ![\sqrt{45.25}](https://tex.z-dn.net/?f=%5Csqrt%7B45.25%7D)
x ≈ 6.7
I can help you but what is the operation of math
Really,
![310 - 49 = 261](https://tex.z-dn.net/?f=310%20-%2049%20%3D%20261)
Simple Calculator Calculation
Answer:
A: 71°
Explanation:
The interior angles of a triangle must always equal 180°.
We have two of the angles, and if we add them up and subtract it from 180°, we can get the missing angle.
49+60+x=180
Add 49 and 60
109+x=180
Isolate the x, so subtract 109 from 180
x=71°
Answer:
f⁻¹(7) = 1
Step-by-step explanation:
Step 1: Write out function
f(x) = 3x + 4
Step 2: Find f⁻¹(x) (or known as inverse f(x))
y = 3x + 4
x = 3y + 4
-3y + x = 4
-3y = 4 - x
y = -4/3 + x/3
Step 3: Plug in 7 into inverse f(x)
f⁻¹(7) = 7/3 - 4/3
f⁻¹(7) = 3/3
f⁻¹(7) = 1