Answer:
hypotenuse:2 (AB)
adjacent side: 1 (AD)
opposite side:√3(BD)
Step-by-step explanation:
-->AB is hypotenuse cuz it's opposite to right angle (90°)
-->AD is adjacent,cuz it's adjacent to reference angle(60°)
-->BD is opposite side,cuz it's opposite to the reference angle(60°)
✌️:)
9514 1404 393
Answer:
geometric sequence
Step-by-step explanation:
The terms of the sequence have a common ratio of -12/3 = -4, so the sequence is geometric. The general term is ...
an = 3(-4)^(n-1)
so the sum can be written as ...

(Note the summation starts at n=0, corresponding to a first term of 3.)
Answer:
32. ∛((x-7)/4) = f^(-1)(x)
33. -10x - 9
Step-by-step explanation:
32. We want to switch f(x) and x, and then solve for f(x) to get the inverse.
x = 4f(x)³ + 7
subtract 7 from both sides
x -7 = 4f(x)³
divide both sides by 4
(x-7)/4 = f(x)³
cube root both sides
∛((x-7)/4) = f(x)
make f(x) f^(-1)(x) because this is now the inverse
∛((x-7)/4) = f^(-1)(x)
the second answer is correct
33. for composition, we can treat (f · g) (x) as attached picture (content filter!), so we plug g(x) into f(x). This results in
2(-5x-7) + 5
expand
-10x - 14 + 5
add
-10x - 9
the second answer is correct
Answer: 0.8
Step-by-step explanation:
given data:
uncertainity = 4g
bias = 2g
solution:
σX =0.2 and σY = 0.4
σcX
= 3σX
= 4(0.2)
= 0.8
Answer:
Step-by-step explanation:
formula for cylinder:V=πr2h
shape of the base: circle
formula for circle: A=πr2
radius: 6.5cm
height: 16cm
V=3.14x6.5^2x16
2122.64cm^3