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ArbitrLikvidat [17]

3 years ago

6

WHAT IS THE DIFFERENCE BETWEEN ARITHMETIC AND GEOMETRIC SEQUENCES AND SERIES'?

1 answer:

uysha [10]3 years ago

8 0

A sequence<span> is a set of numbers.
</span>If the difference between two consecutive terms is constant, then the sequence is called arithmetic and th<span>e difference is called the common difference.
</span><span>If the numbers in the sequence follow a pattern were the next term is found by multiplying by a constant called the common ratio, r, then the sequence is geometric sequence.</span>

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Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AD = 4

Vinil7 [7]

Answer:

BD = 6

Step-by-step explanation:

Theorem: The altitude to the hypotenuse of a right triangle is the mean proportional between the segments of the hypotenuse.

So, $\frac{4}{BD} = \frac{BD}{9}$

$BD^{2} = 36$

BD = 6

See how easy that is IF you know the theorem.

4 0

3 years ago

Please hurry Solve: -23 = x - 23 *

Monica [59]

Answer:

x = 0

Step-by-step explanation:

add 23 on both side and x equals zero

substitute x for 0, and the equation is still correct

7 0

3 years ago

Read 2 more answers

A=lw+wh+lh, solve for w

KIM [24]

Subtract what is to the right of the equal sign form both side of the equation but any way the answer is 0

6 0

2 years ago

Read 2 more answers

on a certain hot Summer's Day 613 people use the public swimming pool the daily prices are $1.75 for children $2.25 for adults t

Elodia [21]

389 children and 224 adults were at the pool that day.

Step-by-step explanation:

Cost of one child ticket = $1.75

Cost of one adult ticket = $2.25

Total people = 613

Total receipts worth = $1184.75

Let,

Number of children = x

Number of adults = y

According to given statement;

x+y=613 Eqn 1

1.75x+2.25y=1184.75 Eqn 2

Multiplying Eqn 1 by 1.75

$1.75(x+y=613)\\1.75x+1.75y=1072.75\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(1.75x+2.25y)-(1.75x+1.75y)=1184.75-1072.75\\1.75x+2.25y-1.75x-1.75y=112.00\\0.50y=112.00$

Dividing both sides by 0.50

$\frac{0.50y}{0.50}=\frac{112.00}{0.50}\\y=224$

Putting y=224 in Eqn 1

$x+224=613\\x=613-224\\x=389\\$

389 children and 224 adults were at the pool that day.

Keywords: linear equation, subtraction

Learn more about linear equations at:

#LearnwithBrainly

6 0

3 years ago

Lucy wants to be exempt from her semester exam. In order for that to happen, she has to average an 85 over 3 test grades. Her fi

anastassius [24]

Answer:

<em>Grades to be scored in 3rd exam = 88</em>

Step-by-step explanation:

Given that average of 3 numbers is 85.

First two numbers are 81 and 86.

To find:

3rd number so that average is 85

Solution:

Let the third number = $x$

Formula for average is:

$Average = \dfrac{Sum\ of\ numbers}{Total\ count\ of\ numbers}$

Here, sum of numbers = $81+86+x =167+x$

Total count of numbers = 3

$85 = \dfrac{167+x}{3}\\\Rightarrow x=255-167\\\Rightarrow \bold{x=88}$

<em>Grades to be scored in 3rd exam = 88</em>

8 0

3 years ago