Two angle measures of a triangle are 62° and 28°. What is the measure of the third angle?

Can someone help idk if this is right

navik [9.2K]

Answer:

$a_n=-3 \cdot a_{n-1}$

$a_1=2$

You gave the explicit form.

Step-by-step explanation:

You gave the explicit form.

The recursive form is giving you a term in terms of previous terms of the sequence.

So the recursive form of a geometric sequence is $a_n=r \cdot a_{n-1}$ and they also give a term of the sequence; like first term is such and such number. All this says is to get a term in the sequence you just multiply previous term by the common ratio.

r is the common ratio and can found by choosing a term and dividing by the term that is right before it.

So here r=-3 since all of these say that it does:

-54/18

18/-6

-6/2

If these quotients didn't match, then it wouldn't be geometric.

Anyways the recursive form for this geometric sequence is

$a_n=-3 \cdot a_{n-1}$

$a_1=2$

5 0

2 years ago

Tina is saving to buy a notebook computer. She has two options. The first option is to put $500 away initially and save $10 ever

Alexxandr [17]

Answer:

Tina would save the same amount using either option after 20 months.

With either option, Tina would save $700.

Step-by-step explanation:

This problem can be modeled by a first order equation:

Where Tina's saved money after n months is:

S(n) = S(0) + rn, where S(0) is the money put away initially and r is how much she saves every month.

The first option is to put $500 away initially and save $10 every month, so:

$S_{1}(n) = 500 + 10n$

The second option is to put $100 away initially and save $30 every month, so:

$S_{2}(n) = 100 + 30n$

After how many months would Tina save the same amount using either option?

It will happen at the month n in which $S_{1}(n) = S_{2}(n)$ , so:

$S_{1}(n) = S_{2}(n)$

500 + 10n = 100 + 30n

500 - 100 = 30 - 10n

400 = 20n

20n = 400

$n = \frac{400}{20}$

n = 20.

Tina would save the same amount using either option after 20 months.

How much would she save with either option?

We can choose $S_{1}(20)$ or $S_{2}(20)$ , since they are equal

$S_{1}(20) = 500 + 10(20) = 500 + 200 = 700$

With either option, Tina would save $700.

3 0

3 years ago

Solve F(x) for the given domain

PilotLPTM [1.2K]

Answer:

The correct answer is A) 2

Step-by-step explanation:

In order to find this, input 1 into the equation for each value of x that you see.

f(x) = x^2 + 3x - 2

f(1) = 1^2 + 3(1) - 2

f(1) = 1 + 3 - 2

f(1) = 2

6 0

2 years ago

How many times can 1000000000000 go into 10

makkiz [27]

Answer:

10 million (10,000,000) tens can go into 100,000,000

Step-by-step explanation:

4 0

2 years ago

Emily's bill for dinner at a restaurant was $61. She left an 18% tip. What was the amount of the tip?

UkoKoshka [18]

You cross multiply. So 61 over 18 = x over 100. You multiply 61 and get the answer of 1600. Now with what you have left, you divide that with 18 and you should get your answer of <span>338.888889. Make sure to round it to whatever it tells you to round to!</span>

7 0

3 years ago