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3 years ago

What is the missing term of the arithmetic sequence? 6, ______, 30

Mathematics

1 answer:

Andrei [34K]3 years ago

3 0

Let k = the constant amount added to the sequence since this is an arithmetic sequence

x = missing number

You have to formulate an equation based on the sequence:

6 + k = x or k = x – 6

x + k = 30

Substitute the value of k to the second formula:

x + x – 6 = 30

2x = 36

x = 18

Therefore, the missing number is 18.

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Find the value of x help

Temka [501]

Answer:

6.7

Step-by-step explanation:

This is trigonometry. We will have to find the opposite leg and the hypotenuse is given to us as 10. So we will have to use sin.

Soh in Soh cah toa

So sin(42)=x/10

10 times sin(42)=x

Evaluate using a calculator=6.69130606 and so on

Rounded to the nearest tenth is 6.7

So the answer is 6.7

5 0

2 years ago

a study indicated that the citizens of Morristown waste and 5840 gallons of water last year this year they wasted 15% more than

joja [24]

Answer-

The total amount of water wasted this year is 6716 gallons.

Solution-

A study indicated that the citizens of Morris-town wasted 5840 gallons of water last year.

This year they wasted 15% more than that amount they wasted previous year.

15% of 5840 is,

$5840\times \frac{15}{100}=876$

The total amount of water wasted this year =

The amount of water wasted previous year + 15% more of the amount of that

= 5840 + 876

= 6716 gallons

Therefore, the total amount of water wasted this year is 6716 gallons

8 0

3 years ago

Read 2 more answers

What is the answer plz help

seropon [69]

Answer:

y = 5x + 4

Step-by-step explanation:

The slope always goes before the x and your y-intercept is plus or minus depending on weather it is positive or negative. Your parent function or standard equations) is y = mx + b, so just plug your variable into there.

6 0

3 years ago

$2,000 loan at 8% for 5 years.

Harman [31]

Answer:

$2,800 = Principle + Interest

Step-by-step explanation:

Using PRT/100, let's find the interest.

=> 2,000 x 8 x 5/100
=> 20 x 8 x 5
=> $800

Conclusion:

Therefore, the interest plus principle is 2,000 + 800, which is $2,800.

Hoped this helped.

$BrainiacUser1357$

8 0

2 years ago

Read 2 more answers

One of the legs of a right triangle measures 7 cm and its hypotenuse measures 12 cm.

Oksana_A [137]

Answer:

AC ≈ 9,7sm

Step-by-step explanation:

AB=7 One side of a right triangle

BC=12 Hypotenuse of a right triangle

AC=?=x The other side of a right triangle

x²+7²=12²

x²=144-49

x²=95

x=√(95) ≈ 9,7

AC ≈ 9,7sm

3 0

2 years ago