Answer:
Step-by-step explanation:
Note that the entire segment RT is the combined lengths of RS and ST. So:
We know that RT is 108, RS is (9y+5), and ST is (3y+7). Substitute:
On the right, combine like terms:
Add:
Subtract 12 from both sides. The right cancels:
Divide both sides by 12:
So, the value of y is 8.
To find RS and ST, substitute 8 for y. So:
Substitute 8 for y:
Multiply:
Add:
Do the same for ST:
Substitute 8 for y:
Multiply:
Add:
Answer:
Option b.
Step-by-step explanation:
We can easily solve this problem by using a graphing calculator or plotting tool.
The function is
h(t) = cos (t +1)
Please, see attached picture below.
By looking at the picture, we can tell that the amplitude is equal to 1
The function has a period of T = 2π
We can see there is no vertical shift.
It has a phase shift of +1. (Which moves the graph to the left)
Answer:
Option b.
Answer :
<h3>Step-by-step explanation:
Given that a multiple-choice test contains 10 questions and there are 4 possible answers for each question.
∴ Answers=4 options for each question.
<h3>To find how many ways a student can answer the given questions on the test if the student answers every question :</h3>Solving this by product rule
Product rule :
<u>If one event can occur in m ways and a second event occur in n ways, the number of ways of two events can occur in sequence is then m.n</u>
From the given the event of choosing the answer of each question having 4 options is given by
The 1st event of picking the answer of the 1st question=4 ,
2nd event of picking the answer of the 2nd question=4 ,
3rd event of picking the answer of the 3rd question=4
,....,
10th event of picking the answer of the 10th question=4.
It can be written as by using the product rule
Answer:
Step-by-step explanation:
bisects
and
.
Solve for m.
Subtract 3m from both sides.
Divide both sides by 3.
Calculate .
Put m = 7.