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Sauron [17]
3 years ago
13

Need help with 8 plz help me thx

Mathematics
1 answer:
Vlada [557]3 years ago
4 0
Angel was trying to fit her new twin-size bed into her room. Her bed has 4 right angles, yet has 2 pairs of parallel sides. What shape is Angel's bed? (A rectangle)
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Write a rule for the nth term of the sequence.
Helga [31]

Answer:

The rule for given sequence is: a_n = -27+16n

And the 100th term is: 1573

Step-by-step explanation:

Given sequence is:

-11, 5, 21, 37, 53, ...

Here

a_1 = -11\\a_2 = 5\\a_3 = 21\\a_4 = 37

First of all, we have to find if this is an arithmetic sequence

For that purpose, the common difference has to be found. Common difference, denoted by d, is the difference between consecutive terms of an arithmetic sequence

So,

d = a_2 -a_1 = 5-(-11) = 5+11 = 16\\d = a_3 -a_2 = 21-5 = 16\\d = a_4-a_3 = 37-21 = 16

As the common difference is same, the sequence is an arithmetic sequence

General rule for arithmetic sequence is:

a_n = a_1+(n-1)d

Putting values

a_n = -11+(n-1)(16)\\a_n = -11+16n-16\\a_n = -27+16n

For 100th term,

Putting n=100

a_{100} = -27+16(100)\\a_{100} = -27+1600 = 1573

Hence,

The rule for given sequence is: a_n = -27+16n

And the 100th term is: 1573

6 0
3 years ago
A gourmet pizza café sells three sizes of pizza: small, medium and large. To buy all three sizes, it costs a total of 46.95. If
sveta [45]

Answer:

its gowing to be eleven dollars an 46 sent11.46

6 0
3 years ago
A group of health care workers were asked how many times per week they visited a gym. The data is shown on the dot plot. Select
Yakvenalex [24]
the correct answer is B &/or D, hope this helped (:
7 0
3 years ago
Read 2 more answers
Which of the following sets of lengths can Sean use to make a right triangle?
Aleks [24]

Answer:

{8 cm, 15 cm, 17 cm}

Step-by-step explanation:

we know that

The length sides of a right triangle must satisfy the Pythagoras Theorem

so

c^2=a^2+b^2

where

c is the greater side (the hypotenuse)

a and b are the legs (perpendicular sides)

<u><em>Verify each case</em></u>

case 1) we have

{5 cm, 15 cm, 18 cm}

substitute in the formula

18^2=5^2+15^2

324=250 ----> is not true

therefore

Sean cannot make a right triangle with this set of lengths

case 2) we have

{6 cm, 12 cm, 16 cm}

substitute in the formula

16^2=8^2+12^2

256=208 ----> is not true

therefore

Sean cannot make a right triangle with this set of lengths

case 3) we have

{5 cm, 13 cm, 15 cm}

substitute in the formula

15^2=5^2+13^2

225=194 ----> is not true

therefore

Sean cannot make a right triangle with this set of lengths

case 4) we have

{8 cm, 15 cm, 17 cm}

substitute in the formula

17^2=8^2+15^2

289=289 ----> is true

therefore

Sean can make a right triangle with this set of lengths

6 0
3 years ago
In a class of 40 students, 5 like neither Nokia nor
Vikki [24]

Answer:

No student liked only Nokia

Step-by-step explanation:

The information can be illustrated as shown on the Venn diagram.

The number of students who liked only Nokia is x.

The sum of all regions in the Venn diagram should be 40.

We add all to get:

5 + 5 + 30 + x = 40

40 + x = 40

x = 40 - 40

x = 0

Therefore no one liked only Nokia

8 0
3 years ago
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