1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Firlakuza [10]
1 year ago
9

Find a 20 given that a 3 = 9 and a 8 = 24

Mathematics
1 answer:
Nimfa-mama [501]1 year ago
8 0

Answer:

<u>a₂₀ = 60</u>

Step-by-step explanation:

<u>Given :-</u>

a₃ = 9

a₈ = 24

<u>To find :-</u>

a₂₀

<u>Solving :-</u>

Expand the given values.

a + 2d = 9 -(1)

a + 7d = 24 -(2)

Now subtract (1) from (2).

=> 5d = 15

=> d = 3

a = 9 - 2d

a = 9 - 6

a = 3

<u>Final answer :-</u>

a₂₀

= a + 19d

= 3 + 19(3)

= 3+ 57

= 60

<u>a₂₀ = 60</u>

You might be interested in
If w varies jointly as x and y when w = 12, x = 2, and y = 18, what is the value of y when w = 16 and x = 6?
hichkok12 [17]
Joint variation means that w=kxy where k is constant.
Finding k:
12=k*2*18
12=36k
k=1/3

Now plug in second set of values
16= 1/3*6*y
16=2*y
y=8

Final answer: 8
7 0
3 years ago
Read 2 more answers
Please solve with explanation (high points)
IgorLugansk [536]

So, we know that:

A=\dfrac{1}{2}ab\\P=a+b+c\\a^2+b^2=c^2

We also know that (a+b)^2=a^2+2ab+b^2. We will use that fact to find c in terms of A and P.

A=\dfrac{1}{2}ab\Rightarrow 2ab=4A\\P=a+b+c\Rightarrow a+b=P-c

Therefore:

(P-c)^2=c^2+4A\\P^2-2cP+c^2=c^2+4a\\2cP=P^2-4A\\c=\dfrac{P^2-4A}{2P}

7 0
2 years ago
Suppose you are asked to find the area of a rectangle that is 2.1-cm wide by 5.6-cm long. Your calculator answer would be 11.76
IRINA_888 [86]

Answer:

The area of the rectangle is 12 cm² (to two significant figures)

Step-by-step explanation:

To determine the area of a rectangle that is 2.1-cm wide by 5.6-cm long,

The area of a rectangle is given by

Area = l × w

where l is the length

and w is the width

From the question,

l = 5.6 cm

and w = 2.1 cm

Hence, Area of the given rectangle will be

Area = 5.6 cm × 2.1 cm

Area = 11.76 cm²

Now, we will convert the answer to two significant figures

Then,

Area = 12 cm²

Hence, the area of the rectangle is 12 cm² (to two significant figures)

3 0
3 years ago
Simplify (−4k4+14+3k2)+(−3k4−14k2−8). Write answer in standard form.
marissa [1.9K]

Answer:

−7k^4−11k^2+6

Step-by-step explanation:

−4k^4+14+3k^2−3k^4−14k^2−8

(−4k^4+−3k^4)+(3k^2+−14k^2)+(14+−8)

−7k^4−11k^2+6

...

8 0
2 years ago
Solve the following system of equations:
Akimi4 [234]
It would have no solutions that's your answer.
6 0
2 years ago
Other questions:
  • What is the median of 5, 2, 9, 21, 12, 3
    8·2 answers
  • Anyone know the answer to this algebra 2 question?
    6·1 answer
  • Ricky is filling an 8 inch by 4 1/2 inch rectangular box with packing peanuts. The peanuts are cubes that come in two different
    10·1 answer
  • Fiona wants to buy a computer that costs $300. if she gets a discount of $80, and she saves $20 a week from her tutoring job, ho
    10·1 answer
  • A factory worker packed 12 boxes at a constant rate, took a 30-minute break, and then continued packing the boxes at twice the r
    6·1 answer
  • Given that 9 x − 4 y = 20 Find y when x = − 2 Give your answer as an improper fraction in its simplest form
    9·1 answer
  • How old is the earth​
    10·1 answer
  • ∠A is an acute angle in a right triangle.
    7·1 answer
  • Given m || n, find the value of x and y.<br> m(7x+13)<br> n(3y-17) (9x-19)
    6·1 answer
  • Please answer Thai question quickly I am giving 20 points and to ever answers
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!