All categories

3 years ago

Find the 89th term of the arithmetic sequence 25, 35, 45, ...

Mathematics

1 answer:

Eddi Din [679]3 years ago

8 0

Answer:

905

Step-by-step explanation:

arithmetic sequence are in form

a(n)=a(0)+d(n-1)

a(0)=25

common difference: d=35-25=10

a(n)=25+10(n-1)

a(89)=25+10(88)=905

You might be interested in

HELP!! PLEASE!! NEED DONE ASAP I WILL GIVE 100 POINTS AND MORE IF YOU CAN GET ALL 3 QUESTIONS DONE!! THANK YOU!! I WILL ALSO MAR

VARVARA [1.3K]

Answer:

I answered the questions but that formatting is very confusing and discourages anyone for trying to answer.

The last question is confusing. If I got it wrong, tell me. I will try to answer in the comment section then.

Step-by-step explanation:

Kayson is looking at two buildings, building A and building B, at an angle of elevation of 73°. Building A is 30 feet away, and building B is 35 feet away. Which building is taller and by approximately how many feet?

$\text{tan}\theta=\frac{h_{A}}{30} \Rightarrow h_{A}=\text{tan}73\º \cdot 30 \Rightarrow h_{A}\approx 98.12 \text{ feet}$

$\text{tan}\theta=\frac{h_{B}}{35} \Rightarrow h_{B}=\text{tan}73\º \cdot 35 \Rightarrow h_{B}\approx 114.47 \text{ feet}$

$\text{Difference} \approx 16.35$

Building B is around 16.35 feet taller than building A.

A Look at the figure below: an image of a right triangle is shown with an angle labeled y If sin y° = a divided by 6 and tan y° = a divided by b, what is the value of cos y°?

$\text{sin}(y)=\frac{a}{6}$

$\text{tan}(y)=\frac{a}{b}$

a is the opposite side; 6 is the hypotenuse; b is the adjacent side.

Therefore,

$\text{cos}(y)=\frac{b}{6}$

If sin f° = eight ninths and the measure of segment YW is 24 units, what is the measure of segment YX? triangle XYW in which angle W is a right angle, angle X measure f degrees, and angle Y measures d degrees.

This seems a bit confusing. The angles don't match. We have $90\º+62\º +21\º \approx 173\º$

$\text{sin}(f)=0.888...$

$f \approx 62\º$

YX is the hypotenuse of the right triangle.

$\text{cos}(21\º)=\frac{24}{YX}$

$YX \approx 25.7$

Considering $f \approx 69\º$

$\text{sin}(69\º)\approx\frac{24}{YX}$

$YX \approx 25.7$

4 0

3 years ago

Read 2 more answers

You take a three-question true or false quiz. You guess on all the questions. What is the probability that you will get a perfec

elena-14-01-66 [18.8K]

The probability that you will guess the first answer correctly = 1/2 = 0.5
The probability that you will guess the second answer correctly = 1/2 = 0.5
The probability that you will guess the third answer correctly = 1/2 = 0.5

The probability that you will guess all three answers correctly is

(0.5) x (0.5) x (0.5) = 0.125 = 12.5% .

============================

Here are all the ways your answer sheet could wind up:
(R = a right answer. W = a wrong answer.)

W W W
W W R
W R W
W R R
R W W
R W R
R R W
R R R

Number of possible ways to score 0 right out of 3 questions: 1 way
Number of possible ways to score 1 right out of 3 questions: 3 ways
Number of possible ways to score 2 right out of 3 questions: 3 ways
Number of possible ways to score 3 right out of 3 questions: 1 way

Statistically, if your answers are all pure guesses,
then on the average, the score you expect is

(0 + 33-1/3 + 33-1/3 + 33-1/3 + 66-2/3 + 66-2/3 + 66-2/3 + 100) / 8

= 400 / 8

= 50% .

If you're happy with that score, great !
Go to the movies the night before the test,
and start guessing.

5 0

3 years ago

3eighths - negitive 5 and 1 fourths

WITCHER [35]

Sorry, what exactly is the question?

8 0

3 years ago

Read 2 more answers

An account earns interest. Find the interest earned 650$ 2% 6 years

Temka [501]

650* 2/100* 6
= 78
Ndnsjmzzmmzmzmzzmmzmz

5 0

3 years ago

Read 2 more answers

a group friends ordered 3 burgers and 3 medium fries for a total of 20.25 .Another group of friends ordered 5 burgers and 8 medi

matrenka [14]

Answer: a burger is $5.25, fries are $1.50

b = burger, f = fries
3b + 3f = 20.25
5b + 8f = 38.25

First, solve for b in terms of f
3b = 20.25 - 3f
b = 6.75 -f

Then substitute that for b in the other equation to solve and get a numerical value for f.

5(6.75 -f) + 8f = 38.25
33.75 -5f +8f = 38.25
33.75 + 3f = 38.25
3f = 4.5
f = 1.5

Now substitute that in to get a numerical value for b
b = 6.75 - 1.5
b = 5.25

Checking the math:
3b + 3f = 20.25
3(5.25) + 3(1.5) = 15.75 + 4.5 = 20.25

5 0

3 years ago