Answer:
aₙ = 4(5)ⁿ⁻¹
Explanation:
To identify a geometric series: second term = √(first term * third term)
Here given:
check ============
20 = √(100*4)
20 = √400
20 = 20 Hence its a geometric term.
Find common difference (r):
20/4 = <u>5</u> or 100/20 = <u>5</u>
Geometric term formula:
aₙ = a₁(r)ⁿ⁻¹ [where a1 is the 1st term, r is common difference]
<u>insert values found</u>
aₙ = 4(5)ⁿ⁻¹ ......this is the nth term.
Answer:
42.3°
Step-by-step explanation:
Use SOH-CAH-TOA (O=opposite, A=adjacent, H=hypotenuse) we see that they give us the angle missing, x, but we first need to identify what method to use. They give us the opposite side from the angle, and they also give us the adjacent side from the angle, so TOA=tan.
now plug it in, since there is no angle then we plug it in as 
in the calculator, (be sure to be in degree mode)
x= 42.3°
(does that make sense)
Answer:
the value is 0.707
Step-by-step explanation:
The computation is shown below:
Tan (x) = sen (x) ÷ cos (x)
Tan 45° = sen 45° ÷ cos 45° = 1
Now
Sen^2 (x) + cos^2 (x) = 1
Sen^2 (x) + sin^2 (x) = 1 (As sen (x) = u)
2u^2 = 1
u = √1 ÷ √2
= √2 ÷ 2
= 0.707
Hence, the value is 0.707
4205 is the answer I think
These equations calculate kinetic energy and gravitation potential energy.
Kinetic energy (KE) is the energy an object has because of its motion. That’s why it’s calculated using its mass and speed.
Gravitational potential energy (CPE) is the energy an object has due to its position in the gravitational field. This is the energy that can be converted by dropping it or letting it fall which is why the gravitational constant and height as well as mass are needed.
If you have any equations needed to be calculated, I’d be happy to help.