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3 years ago

Find the third, fifth, and tenth terms of the sequence described by the rule.

Mathematics

1 answer:

kap26 [50]3 years ago

8 0

Answer:

Step-by-step explanation:

A(n) = - 9+ (n - 1)(6)

A(3) = -9 + (3-1)*6 = -9 + 2*6 = -9 +12 = 3

A(5) = -9 + 4*6 = -9 + 24 = 15

A(10) = -9 + 9*6 = -9 + 54 = 45

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For a standard-position angle determined by the point (x, y), what are the values of the trigonometric functions?

Travka [436]

The measure of the cscθ and secθ are 5/4 and 5/3 respectively option (A) is correct.

<h3>What is trigonometry?</h3>

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a standard-position angle determined by the point (x, y).

The point is (9, 12)

From the Pythagoras theorem, we can find the hypotenuse(h):

h = √(9²+12²)

h = 15

cscθ = hypotenuse/opposite = 15/12 = 5/4

secθ = hypotenuse/adjacent = 15/9 = 5/3

Thus, the measure of the cscθ and secθ are 5/4 and 5/3 respectively option (A) is correct.

Learn more about trigonometry here:

brainly.com/question/26719838

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4 0

3 years ago

Write 286,200 in scientific notation.

Paul [167]

Answer:

2.862*10^5

Step-by-step explanation:

First, move the decimal place until you have a number between 1 and 10. If you keep moving the decimal point to the right in 286200 you will get 2.862.

next, since you moved the decimal place to the left 5 times, the xoonent would be a positive 5.

Therefore, the answer is 2.862*10^5

7 0

4 years ago

What is the sum of the rational expressions below?

Anna71 [15]

Answer:

4x^2-x/x^2+x-2

Step-by-step explanation:

3 0

3 years ago

William has 15 3/5 quarts of paint. He equally divided the paint into 3 gallon-sized

Vikki [24]

Answer:

He has left 1.3 gallons of paint

Step-by-step explanation:

* Lets explain how to solve the problem

- William has 15 3/5 quarts of paint

- He divided the amount of paint equally into 3 gallon-sized containers

- He used 2 containers

- We need to find how many gallons of paint is left

* Lets use the information above to solve the problem

∵ William has 15 3/5 quarts of paint

∵ 15 3/5 = 15.6 quarts as a decimal

∵ 4 quarts = 1 gallon

∴ 15.6 quarts = 15.6 ÷ 4 = 3.9 gallons

∵ He divided the paint equally into 3 gallon-sized containers

∴ Each container has = 3.9 ÷ 3 = 1.3 gallons

∴ Each container has 1.3 gallons of paint

∵ He used 2 of them

∴ He used ⇒ 2 × 1.3 = 2.6 gallons

∴ The third container is left

∵ The container has 1.3 gallons

∴ He has left 1.3 gallons of paint

4 0

3 years ago

Will mark brainliest Question is in attachment

Nadusha1986 [10]

Answer:

x = 49

Step-by-step explanation:

The angles are complementary so they add to 90 degrees

41+x = 90

Subtract 41 from each side

41+x-41 = 90-41

x = 49

7 0

4 years ago

Read 2 more answers