Answer:
The lateral surface area of a square pyramid is the sum of the areas of the side faces only, whereas the surface area is the lateral area + area of the base. The lateral area of a square pyramid = 2al (or) 2a√[(a 2 /4) + h 2]. To get the surface area, we need to add the area of the base (which is a 2) to each of these formulas.The surface area of a square pyramid = a 2 + 2al (or) a 2 + 2a[(a 2 /4) + h 2]. where, a = Length of the base (square) l = slant height; h = height of the pyramid.
Step-by-step explanation:
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Answer:
The inverse is
f^-1(x) = (1/√2)x^¼
And it is a function
Step-by-step explanation:
Given f(x) = 4x^4
Let y = f(x), so that
y = 4x^4
Then dividing both sides by 4
x^4 = y/4
Taking the fourth root of both sides
x = (y/4)^¼
x = (1/√2)y^¼ = f^-1(y)
Put y = x
y = (1/√2)x^¼ = f^-1(x)
This is the inverse.
f^-1(x) is a function.
For the given triangle, m∠G° = 51°, HI = 23.3 units, and GH = 18.9 units.
Step-by-step explanation:
Step 1:
In the triangle, the given angle is 39°, the hypotenuse side's length is 30 units. Assume the opposite side's length is x units.
To determine the opposite side's length, we determine the sin of the angle. To calculate the sin of an angle, we divide the opposite side's length by the hypotenuse's length.
GH measures 18.879 units. Rounding this off, we get 18.9 units.
Step 2:
Assume the side HI measures y units. According to Pythagoras' theorem,
So HI measures 23.314 units. Rounding this off, we get 23.3 units.
Step 3:
GHI is a triangle and all triangles have a total angle of 180°.
So ∠G° measures 51°.
What do you mean? At first it was 4 times as old, then it's twice her age?
Answer:
1.61904761905
Step-by-step explanation:
