Answer:
Pendulum will swing by an angle 0.666π
Step-by-step explanation:
We have given arc = 
And length of the pendulum l = 150 cm
Length of the pendulum will be equal to radius of the pendulum so r = 150 cm
Arc is given by 
So 

So pendulum will swing by an angle 0.666π
Answer:
he is incorrect.
Step-by-step explanation:
It would be 5 and 38 HUNDRETHS because the first number after the decimal is the tenths.
800-20 is 780. A third of 780 is 780(1/3) = 260. 780 - 260 = 520. 25% of $520 is 0.25(520) = 130. 520 - 130 = 390. One sixth of 390 is 390(1/6) = 65. 390 - 65 = 325. So, Bob kept $325 for himself.
Given:

Solution:
Complex formula:

Let us simplify one by one.


|3 + 4i| = 5


|3 - 4i| = 5


|-3 + 4i| = 5


|-3 - 4i| = 5
Substitute these in the given expression:


The solution of the expression is 20.
<u>Ashely have </u><u>56 ways</u><u> to choose from</u>
This question can be solved using a system in mathematics called Permutation and it's in a topic of mathematics called combinatorics.
<h3 /><h3>Permutation</h3>
This is the process of arranging a particular set of data in different ways.
Since Ashely is choosing 3 desserts out of 8 in no specific ways

Where n = total number of ways available
r = total numbers that would be selected.
Data given
Let's substitute these values into the equation.

From the calculation above, Ashley have 56 ways in which can choose 3 dessert from an 8 choice.
Learn more about permutation here;
brainly.com/question/11871015