When embedding fraction addition problems in familiar contexts, the lowest common denominator for parts of a dozen is

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Answer 1

Answer:

Answer:

The lowest common denominator for parts of a dozen is 12.

Step-by-step explanation:

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Find the values of cosΘ and tanΘ, given that sinΘ = 8/9 and Θ is in quadrant I

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$sin^2 \alpha +cos^2 \alpha =1\ \ \ and\ \ \ tan \alpha = \frac{\big{sin \alpha }}{\big{cos \alpha }} \n\nsin \alpha = (8)/(9)\n\n \Rightarrow\ \ \ ((8)/(9))^2+cos^2 \alpha =1\ \ \ \Rightarrow\ \ \ cos^2 \alpha =1- (64)/(81) \ \ \ \Rightarrow\ \ \ cos^2 \alpha = (17)/(81) \n\n \alpha \ \in\ (0^0;90^0)\ \ \ \Rightarrow\ \ \ cos \alpha >0\ \ \ \Rightarrow\ \ \ cos \alpha = ( √(17) )/(9) \n\n$

$tan \alpha = (8)/(9): ( √(17) )/(9) =(8)/(9)\cdot (9)/(√(17))= (8)/(√(17))= (8\cdot √(17))/(√(17)\cdot √(17))=(8\cdot √(17))/(17)$

If √5 is ≈ 2.236, find DE to nearest tenth. (AD=4, DB=5, ΔACB is right with CD perpendicular to hypotenuse AB, AE bisects angle CAD)

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Use mathway .com it shows to how to do your work and also gives you the answer

Is this proportional or non proportional ???

Answers

Answer:

non-proportional

Step-by-step explanation:

non-proportional because it doesn't pass through the origin.

For a client, a landscaper purchases 3 oak trees and 4 maple trees for $380. For his own home, the landscaper purchases 2 oak trees and 5 maple trees for $370. Which augmented matrix represents the situation?

Answers

You don't have any choices here, but it's easy to determine what your matrix would look like by first writing the equations. Oak trees is x and maple trees is y. The first of our equations then is 3x + 4y = 380 and the second is 2x + 5y = 370. In matrix form, that would be $\left[\begin{array}{ccc}3&4\n2&5\end{array}\right]= \left[\begin{array}{ccc}380\n370\n\end{array}\right]$

The augmented matrix represents the situation that will be, $\left[\begin{array}{ccc}3&4\n2&5\n\end{array}\right]$ .

What is an augmented matrix?

The columns of two matrices are combined to create a new matrix known as an augmented matrix.

When using matrices to solve straightforward linear equations, the augmented matrix is a crucial tool. The number of variables in the linear equation is the same as the number of rows in the augmented matrix.

Let us consider x is the oak tree and y is the maple tree then;

⇒3 oak trees and 4 maple trees for $380;

⇒3x+4y = 370

⇒Purchases 2 oak trees and 5 maple trees for $370;

⇒2x+5y=370

The two equations are expressed in the matrixas;

$\left[\begin{array}{ccc}3&4\n2&5\n\end{array}\right]$

Hence, the augmented matrix represents the situation that will be, $\left[\begin{array}{ccc}3&4\n2&5\n\end{array}\right]$ .

To learn more about the augmented matrix refer;

brainly.com/question/16796667

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Clare made $160 babysitting last summer. She put the money in a savings account that pays 3% interest per year. If Clare doesn't touch the money in her account, she can find the amount she'll have the next year by multiplying her current amount by 1.03. How much will she have in 30 years

Answers

Answer:

$388.36

Step-by-step explanation:

let us assume that the amount in her accounts compounds annually

Given data

principal p= $160

interest rate r= 3%= 0.03

time t= 30 years

At the end of 30 years the money she will will have can be expressed as

A= P(1+r)^t

A= 160(1+0.03)^30

A= 160(1.03)^30

A= 160*2.42726

A= $388.36

in 30 years she will have $388.36

What is the solution of the equation
7x + 3 = 2x + 13

Answers

Answer:

Step-by-step explanation:

7x + 3 = 2x + 13

5x + 3 = 13

5x = 10

x = 2

Answer:

x = 2

Step-by-step explanation:

given

7x + 3 = 2x + 13 ( subtract 2x from both sides )

7x - 2x + 3 = 2x - 2x + 13 ( simplify both sides )

5x + 3 = 13 ( subtract 3 from both sides )

5x + 3 - 3 = 13 - 3 ( simplify both sides )

5x = 10 ( divide both sides by 5 )

$(5)/(5)$ x = $(10)/(5)$ , that is

x = 2

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