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dolphi86 [110]
2 years ago
11

What are the values of a 1 and r of the geometric series? 1 3 9 27 81 a 1 = 1 and r = one-third a 1 = one-third and r = 1 a 1 =

1 and r = 3 a 1 = 3 and r = 1.
Mathematics
1 answer:
Paha777 [63]2 years ago
6 0

Answer:

a₁ = 1

r = 3

Step-by-step explanation:

Since it’s a geometric series then

a₁ = 1 ( because 1 is the first term of the series)

3/1 = 9/3 = 27/9 = 81/27 = 3 then r=3.

Step-by-step explanation:

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Sam drove for 2 hours at 45 mph. He has the same distance remaining. How fast should he drive to make his average speed 60 mph?
Goshia [24]
Speed (S) = Distance (D) / time (t)

First stretch

45 = D / 2

D = 45*2

D = 90 mp

How is the same distance:

Second stretch

S = 90 / t

Average speed (AS):

AS = (S1+S2) / 2

60 = [45+(90/t)] / 2

120 = 45+90/t

120-45 = 90/t

75 = 90/t

t = 90/75

t = 1,2 h

________________________

And now:

S = 90 / t

S = 90 / 1,2

S = 75 mph
8 0
3 years ago
angle K and angle L are complementary angels. If the measurement of angle K =(3x+3) and the measurement of angle L =(10x-4).what
spayn [35]

The measurement of two angles is 24° and 66°

Step-by-step explanation:

First of all, let us define complementary angles

The angles whose sum is 90° are called complementary angles

Given

∠K = (3x+3)

∠L = (10x-4)

According to the definition,

K+L = 90\\3x+3 + 10x-4 = 90\\13x -1 = 90\\13x-1+1 = 90+1\\13x = 91

Dividing both sides by 13

\frac{13x}{13} = \frac{91}{13}\\x = 7

So,

∠K = 3x + 3 = 3(7) + 3 = 21+3 = 24°

∠L = 10x - 4 = 10(7) -4 =70 -4 = 66°

Hence,

The measurement of two angles is 24° and 66°

Keywords: Complementary angles, Angles

Learn more about complementary angles at:

  • brainly.com/question/5756316
  • brainly.com/question/5751004

#LearnwithBrainly

3 0
4 years ago
A kilometer is more than one half a mile true or false!
Orlov [11]
The answer is true.
1 Kilometer is 0.621371 miles
4 0
3 years ago
Read 2 more answers
Determine the kinetic energy of a 100-kg roller coaster car that is moving with a speed of 20.0/ms.
rjkz [21]

Answer:

The kinetic energy is 20,000\ J

Step-by-step explanation:

The kinetic energy of a body is defined as:

k = \frac{1}{2}ms ^ 2

Where <em>m</em> is the mass of the roller coaster car

<em>s</em> is the speed and <em>k</em> is the kinetic energy

We know that s = 20\ m/s

m = 100\ kg

Then the kinetic energy of the roller coaster car is:

k = \frac{1}{2}(100)(20) ^ 2\\\\k = 50(20) ^ 2\\\\k = 50 * 400\\\\k = 20,000\ J

3 0
3 years ago
How many kilometers are there ??
irinina [24]

Answer:

20

Step-by-step explanation:

1 hour=2 kg

10 hrs=10×2=20

Mark as brainliest please!

5 0
3 years ago
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