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3 years ago

Find the 14th term of the geometric sequence 3,6,12,24.

1 answer:

5 0

An=a1(r)^(n-1)
a1=first term
r=common rati

common ratio is a term divded by previous term
6/3=2
r=2

first term is 3

an=3(2)^(n-1)
14th term
a14=3(2)^(14-1)
a14=3(2)^13
a14=3(8192)
a14=24576

the 14th term is 24576

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Find the area of the triangle

BARSIC [14]

Answer:

The Area of Δ ABC = 219.13

Step-by-step explanation:

The hard part about this problem is finding the area without the height

The formula to do this is Area = $\sqrt{S(S-A)(S-B)(S-C)}$

A, B, C represent the sides

S represents $\frac{1}{2}$ (A + B + C)

In this equation, we will make the base be A, and the other two sides will be B and C

Sides B and C are the same length because they meet at a 90° angle

Lets plug the numbers into the variables

A = 28

B= 21

C= 21

Remember: S represents $\frac{1}{2}$ (A + B + C)

S = $\frac{1}{2}$ (28 + 21 + 21)

S = $\frac{1}{2}$ (70)

S = 35

Lets plug the numbers into the Area Formula now!

Area = $\sqrt{35(35 - 28)(35 - 21)(35 - 21)}$

According to the order of operations, we need to do the calculations in parentheses first

35 - 28 = 7

35 - 21 = 14

14 x 14 x 7 = 1372

1372 x 35 = 48020

$\sqrt{48020}$ = 219.13

The Area of Δ ABC = 219.13

3 0

2 years ago

Yall know the anwser to this

Olenka [21]

-1(-1-9)= -1*-10= 10

6 0

3 years ago

Yes we did learn 1 and 2 step equation this should be a piece of cake

ANTONII [103]

What do you need help with?

6 0

2 years ago

Conner works 8 1/2 hours and earns $80.75. If Zoey makes an hourly rate that is proportional and earns $118.75, how many hours d

Reptile [31]

Answer:

Step-by-step explanation:

In 8 hours 30m Corner earns $80.75

In how many hours Zoey earns $118.75

Hours Zoey works= 510*118.75/80.75(converted 8hours into minutes by multiplying with 60)

Solving we get 12 hours 30m.

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3 years ago

F(x)=x^2. what is g(x)? point given is (4,1)

svetoff [14.1K]

Answer:

It is (a)

$g(x) = ( { \frac{1}{4} x})^{2}$

Step-by-step explanation:

I hope that is useful for you :)

6 0

2 years ago