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3 years ago

The formula for the area of a trapezoid with altitude k and bases m and n is . A=k/2 (m+n) solve for m..

Mathematics

2 answers:

SashulF [63]3 years ago

5 0

Answer:

$m=A\times\frac{2}{k}-n$

Step-by-step explanation:

Given : The formula for the area of a trapezoid with altitude k and bases m and n is $A=\frac{k}{2}(m+n)$

We have solve for m .

Consider the given formula $A=\frac{k}{2}(m+n)$

Multiply both side by $\frac{2}{k}$ , we have,

$A\times\frac{2}{k}=m+n$

Now subtract n both side, we have,

$A\times\frac{2}{k}-n=m$

Thus, $m=A\times\frac{2}{k}-n$

bija089 [108]3 years ago

3 0

Answer:

When solving for m we get $m=\frac{2A}{k}-n$

Step-by-step explanation:

Given: Formula for Area of trapezoid, $A\:=\:\frac{k}{2}(m+n)$

k is height of the trapezoid and m & n are bases of trapezoid.

We have to solve the formula for m.

Consider the formula,

$A=\frac{k}{2}(m+n)$

$A\times\frac{2}{k}=m+n$

$\frac{2A}{k}=m+n$

$\frac{2A}{k}-n=m$

$m=\frac{2A}{k}-n$

Therefore, When solving for m we get $m=\frac{2A}{k}-n$

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Use the Euclidean Algorithm to compute the greatest common divisors indicated. (a) gcd(20, 12) (b) gcd(100, 36) (c) gcd(207, 496

coldgirl [10]

Answer:

(a) $gcd(20, 12)=4$

(b) $gcd(100, 36)=4$

(c) $gcd(496,207 )=1$

Step-by-step explanation:

The Euclidean algorithm is an efficient method for computing the greatest common divisor of two integers, without explicitly factoring the two integers.

The Euclidean algorithm solves the problem:

Given integers $a, b$ , find $d=gcd(a,b)$

Here is an outline of the steps:

Let $a=x$ , $b=y$ .
Given $x, y$ , use the division algorithm to write $x=yq+r$ .
If $r=0$ , stop and output $y$ ; this is the gcd of $a, b$ .
If $r\neq 0$ , replace $(x,y)$ by $(y,r)$ . Go to step 2.

The division algorithm is an algorithm in which given 2 integers N and D, it computes their quotient Q and remainder R.

Let's say we have to divide N (dividend) by D (divisor). We will take the following steps:

Step 1: Subtract D from N repeatedly.

Step 2: The resulting number is known as the remainder R, and the number of times that D is subtracted is called the quotient Q.

(a) To find $gcd(20, 12)$ we apply the Euclidean algorithm:

$20 = 12\cdot 1 + 8\\ 12 = 8\cdot 1 + 4\\ 8 = 4\cdot 2 + 0$

The process stops since we reached 0, and we obtain $gcd(20, 12)=4$ .

(b) To find $gcd(100, 36)$ we apply the Euclidean algorithm:

$100 = 36\cdot 2 + 28\\ 36 = 28\cdot1 + 8\\ 28 = 8\cdot 3 + 4\\ 8 = 4\cdot 2 + 0$

The process stops since we reached 0, and we obtain $gcd(100, 36)=4$ .

(c) To find $gcd(496,207 )$ we apply the Euclidean algorithm:

$496 = 207\cdot 2 + 82\\ 207 = 82\cdot 2 + 43\\ 82 = 43\cdot 1 + 39\\ 43 = 39\cdot 1 + 4\\ 39 = 4\cdot 9 + 3\\ 4 = 3\cdot 1 + 1\\ 3 = 1\cdot 3 + 0$

The process stops since we reached 0, and we obtain $gcd(496,207 )=1$ .

3 0

3 years ago

Suppose $1750 is put into an account that pays an annual rate of 4.5%

Yanka [14]

Answer:

The amount in the account after six years is $2,288.98

Step-by-step explanation:

In this question, we are asked to calculate the amount that will be in an account that has a principal that is compounded quarterly.

To calculate this amount, we use the formula below

A = P(1+r/n)^nt

Where P is the amount deposited which is $1,750

r is the rate which is 4.5% = 4.5/100 = 0.045

t is the number of years which is 6 years

n is the number of times per year, the interest is compounded which is 4(quarterly means every 3 months)

we plug these values into the equation

A = 1750( 1 + 0.045/4)^(4 * 6)

A = 1750( 1 + 0.01125)^24

A = 1750( 1.01125)^24

A = 2,288.98

The amount in the account after 6 years is $2,288.98

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