1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sweet [91]
3 years ago
10

If the nth term is 299find the value of n while arthmetic sequence is 13,24,35..

Mathematics
1 answer:
Art [367]3 years ago
3 0
Aritmetic
an=a1+d(n-1)
a1=first term
d=common differnce

common differnce is a term minus pervious term
24-13=11
d=11
a1=first term=13

13+11(n-1)
the nth term
299=13+11(n-1)
solve
distribute
299=13+11n-11
299=11n+2
minus 2 both sides
297=11n
divide both sides by 11
27=n
it is the 27th term
You might be interested in
What is the surface area of the cube with the given edge length, s?
babymother [125]

Answer:

Step-by-step explanation: 6a squared

7 0
4 years ago
Let theta be an angle in quadrant II such that cos theta = -2/3
Iteru [2.4K]

Answer:

So we have \csc(\theta)=\frac{3 \sqrt{5}}{5} \text{ and } \tan(\theta)=\frac{-\sqrt{5}}{2}.

Step-by-step explanation:

Ok so we are in quadrant 2, that means sine is positive while cosine is negative.

We are given \cos(\theta)=\frac{-2}{3}(\frac{\text{adjacent}}{\text{hypotenuse}}).

So to find the opposite we will just use the Pythagorean Theorem.

a^2+b^2=c^2

(2)^2+b^2=(3)^2

4+b^2=9

b^2=5

b=\sqrt{5}  This is the opposite side.

Now to find \csc(\theta) and \tan(\theta).

\csc(\theta)=\frac{\text{hypotenuse}}{\text{opposite}}=\frac{3}{\sqrt{5}}.

Some teachers do not like the radical on bottom so we will rationalize the denominator by multiplying the numerator and denominator by sqrt(5).

So \csc(\theta)=\frac{3}{\sqrt{5}} \cdot \frac{\sqrt{5}}{\sqrt{5}}=\frac{3 \sqrt{5}}{5}.

And now \tan(\theta)=\frac{\text{opposite}}{\text{adjacent}}=\frac{\sqrt{5}}{-2}=\frac{-\sqrt{5}}{2}.

So we have \csc(\theta)=\frac{3 \sqrt{5}}{5} \text{ and } \tan(\theta)=\frac{-\sqrt{5}}{2}.

7 0
3 years ago
Read 2 more answers
How can you use the Distributive Property to solve multistep equations?
Ad libitum [116K]

Answer:

just distibute the propertys to other propertys

Step-by-step explanation

3 0
3 years ago
Pleas help me answer this. Question 2 please.
tamaranim1 [39]

Answer: A

We could solve it but it's easier to just check the given solutions.

A. (7,1)

2y + 5 = 2(1)+5 = 7 = x, good

x/3-y = 7/3 - 1 = 4/3, good

B. (-3,8)

2y + 5 = 2(8)+5 = 21 not x=-3, doesn't check

C. Can't be true because we found a solution

D.  Infinitely many solutions not true because the lines have different slopes

8 0
3 years ago
You are arranging a meeting for 56 people. You want 8 people at each table. How many tables do you need?
Lubov Fominskaja [6]

to figure out how many tables we need, we need to split 56 into groups of 8

we can do this by dividing

56 ÷ 8 = 7

you will need 7 tables

8 0
4 years ago
Read 2 more answers
Other questions:
  • What are the solutions to the following system?
    14·1 answer
  • Find the area A of triangle JKL with the vertices J(5,8), K(0,7), and L(5,4)
    10·1 answer
  • shoebat two pairs of jeans and a belt that cost 6.95 dollars the tax on the items was 5.85 to pay the cashier $70 how much money
    8·1 answer
  • Describe the solutions of 5
    15·1 answer
  • In a group of 10 people, there are 4 people that have the flu virus. Suppose we pick 3 random persons to test in order to determ
    9·1 answer
  • What is the product of the polynomials?
    5·1 answer
  • Edison is a hard-working college junior. On Saturday, he decides to work nonstop until he has answered 100 practice problems for
    14·1 answer
  • If an relationship is proportional what is the missing value from the table?​
    15·1 answer
  • When you accrue interest , what does that mean? Only answer if you know pls !
    5·1 answer
  • At the park there is a pool shaped like a circle with diameter 24 yd. A ring-shaped path goes around the pool. Its width is 5 yd
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!