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Aleks [24]
3 years ago
11

PLEASE HELP IM STUCK... How do you find the length of CD?

Mathematics
2 answers:
evablogger [386]3 years ago
8 0

what math class is this

pogonyaev3 years ago
6 0
You have to complete the first one(abc) then go and do acd so find all the measurements for abc first
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The nth term of a sequence is 3n^2- 1
Thepotemich [5.8K]

Answer: The number that belongs to both sequences is 26.

Step-by-step explanation:

We have two sequences, let's call one as A and the other as B.

The n-th term of sequence A is written as:

aₙ = 3*n^2 - 1

the nth term of sequence B is written as:

bₙ = 30 - n^2

We want to find a term that belongs to both sequences, (it can be for different integers, we can use n for sequence A and x for sequence B)

Then we want to find:

aₙ = bₓ

where n and x are integer numbers.

Then we will heave:

3*n^2 - 1 = 30 - x^2

To find the pair, we could isolate one of the variables, then input different integers in the other variable and see if the outcome is also an integer.

Let's isolate n.

3*n^2 = 30 - x^2 + 1

3*n^2 = 31 - x^2

n^2 = (31 - x^2)/3

n = √(  (31 - x^2)/3)

Now let's input different values for x, and see if the outcome is also an integer, notice that x is in a negative term inside a square root, then we have only a few values of x such that the equation can be true.

Then let's start with x = 1.

n(1) = √(  (31 - 1^2)/3) = √(30/3) = √10

We know that √10 is not an integer.

now with x = 2,

n(2) = √(  (31 - 2^2)/3)  = √( (31 - 4)/3) = √(27/3) = √9 = 3

then if x = 2, we have n = 3.

Both of them are integers, then we get:

a₂ = 3*(3)^2 - 1 = 27 - 1 = 26

b₃ = 30 - 2^2 = 30 - 4 = 26

The number that belongs to both sequences is 26.

5 0
2 years ago
A temperature recorded in Antarctica was −123°F. The temperature recorded in the Sahara Desert was 135°F. How many degrees warme
Mashcka [7]

Answer:

<em>The Sahara Desert is 258 °F warmer that Antarctica.</em>

<em></em>

Step-by-step explanation:

Temperature at Antarctica = -123 °F

Temperature at the Sahara desert = 135 °F

The difference in temperature = 135 - (-123) = 135 + 123 = 258 °F

This means that the Sahara Desert is 258 °F warmer that Antarctica.

8 0
3 years ago
_a and .bare complementary angles. Za measures 59"<br> What is the measure of b?
sergeinik [125]

Answer:

Step-by-step explanation:

When two angles add up to 90, they are complementary angles

∠a + ∠b = 90

59 + ∠b = 90

∠b = 90 - 59

∠b = 31°

7 0
3 years ago
You've run 250 ft of cable that has a loss rate of 3.6 dB per 100 ft. what is your total loss?
Leviafan [203]

Answer:

2.5 dB/100 ft

Explanation:

If 5 dB was lost after 200 ft of cable and 100 ft is half of 200 ft, then the rate of loss should be 2.5 dB per 100 ft.

Step-by-step explanation:

5 0
3 years ago
On his first three tests, Justin scored 99, 93, and 86. What score must he get on his fourth test to have an average (mean) of
ser-zykov [4K]

Answer:

hi

Step-by-step explanation: uhh you are correct hope i can bring up your confidence for the finnal test if you have one

3 0
3 years ago
Read 2 more answers
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