12 I got it form Socratic
For the given figure, x = 34.640 units.
Step-by-step explanation:
Step 1:
The formulae needed to solve this question are:
The triangle containing x can be split into two right-angled triangles.
So the hypotenuse of the triangle containing the length x and the already given right angle triangle's hypotenuse is the same length.
Step 2:
First, we calculate the hypotenuse of the given triangle.
The angle of the triangle is 45°, the adjacent side's length = 10√3 units. Assume the hypotenuse's length to be a units.
units.
Step 3:
For the split triangle, we have the angle as 45°, the opposite side measuring units (only half of x is in each triangle) and the hypotenuse measuring 24.498 units.
So x measures 34.640 units.
Answer:
(- 42.8π/√232)m²
Step-by-step explanation:
For any function, y = f(x), we approximately from a to a + ∆x
We can make use of the formula
∆y = f'(a)∆x
Where S = πr√(r² + h²)
We are asked to find S
h = 6m
r = decreases from 14m to 13.9
S = d/dr[ πr√(r² + h²)] ×(13.9 - 14)
Where h = 36m
S = π d/dr [ r √(r² + 6²)] × (13.9 - 14)
S = π d/dr [ r √(r² + 36)] × (13.9 - 14)
Where r = 14m
S = π [√(r² + 36) + r²/√(r² + 36)] × (13.9 - 14)
S = π [√(14²+ 36) + 14²/√(14² + 36)] × (13.9 - 14)
S = π [√(196+ 36) + 196/√(196 + 36)] × (13.9 - 14)
S = π[√232 + 196/√232] × (13.9 - 14)
S = π × - 0. 1 [√232 + 196/√232]
Collecting like terms
S = π × - 0. 1 × 1/√232 [232 + 196]
S = π × - 0. 1 × 1/√232[428]
S =(- 42.8π/√232)m²
Answer: 4h - 3
<u>Step-by-step explanation:</u>
replace "x" with "h - 1" and simplify
f(x) = 3x + h
f(h - 1) = 3(h - 1) + h
= 3h - 3 + h
= 4h - 3
Answer:
-9
Step-by-step explanation:
Substitute -7 for x. So we get ((-7)^2+5)/(-7+1). We start with the exponent. (-7)^2 is 49. Then we add 5 to that, and get 54. -7+1 is -6. So we have 54/-6, which is equal to -9.