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3 years ago

The lengths of the sides of a triangle are 2a 3, a – 2, and 3a. Write a simplified expression for the perimeter of the triangle.

Mathematics

2 answers:

ipn [44]3 years ago

3 0

Answer:

2a+3+a-2+3a

6a+1

Step-by-step explanation:

fenix001 [56]3 years ago

3 0

Answer:

The perimeter of a triangle is the measure of side 1 + measure of side 2 + measure of side 3. To find the perimeter of the triangle, simply add these sides together.

(9x - 7w) + (4x + 6y) + (5y + 5w)

Remove the parenthesis

9x - 7w + 4x + 6y + 5y + 5w

Arrange the order so that like terms are together

9x + 4x +6y + 5y -7w + 5w

Combine like terms

13x + 11y - 2w

Step-by-step explanation:

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A store is having a 25•/• off sale on all shirts. show two ways to calculate the sale price for a shirt that normally costs $24.

tia_tia [17]

24 x .25 is 6, so 24 - 6 is $18.00.

I don't know another way sorry.

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4 years ago

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Ruby want to teach a hip-hop dance workshop. the cost of renting a dance studios 109.50 plus $15 per person attending the worksh

Ymorist [56]

Answer:

Ruby can have at most, 13 people attend the workshop.

Step-by-step explanation:

6 0

3 years ago

Please help me with this problem.

Alik [6]

We're going to use the equation given but let's first make sure we understand what the equation IS saying:

Area of a kite= [(1st diagonal) × (2nd diagonal)]/2

Now, let's find the 2 diagonals. In the case of kite shapes one of the diagonals is the line that goes from W to Y and the other is the line going from X to Z. In a kite they will always cross (no matter their lengths).

Now that we know the diagonals we can add the lengths that are given for each line to know what to multiply.

Line W to Y: 20+12= 32

Line X to Z: 12+12= 24

Now let's plug these numbers into the equation (it doesn't matter the order of the diagonals because we're just gonna be multiplying them either way!)

So...

(32×24)/2= 384 units squared (because it is area)

8 0

3 years ago

The time, t, required to complete a job

tigry1 [53]

Answer:

19 hrs

Step-by-step explanation:

t varies inversely with number of people p

t = k/p

If it takes 7.125 hrs for 8 workers to do the job

K = tp

= 7. 125 x 8

= 57

How many hours will it take if there are 3 workers .

Recall t = k/p

t = 57/3

= 19 hrs

Therefore, It’ll take 19 hrs to Complete the job if there are only three workers.

3 0

3 years ago

I guess I'm lacking in differential equations. I couldn't solve this question. Can you help me?

Sonja [21]

Answer:

See Explanation.

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Reciprocals

Algebra II

Log/Ln Property: $ln(\frac{a}{b} ) = ln(a) - ln(b)$

Calculus

Derivatives

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Chain Rule: $\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Derivative of Ln: $\frac{d}{dx} [ln(u)] = \frac{u'}{u}$

Step-by-step explanation:

Step 1: Define

$ln(\frac{2x-1}{x-1} )=t$

Step 2: Differentiate

Rewrite: $t = ln(\frac{2x-1}{x-1})$
Rewrite [Ln Properties]: $t = ln(2x-1) - ln(x - 1)$
Differentiate [Ln/Chain Rule/Basic Power Rule]: $\frac{dt}{dx} = \frac{1}{2x-1} \cdot 2 - \frac{1}{x-1} \cdot 1$
Simplify: $\frac{dt}{dx} = \frac{2}{2x-1} - \frac{1}{x-1}$
Rewrite: $\frac{dt}{dx} = \frac{2(x-1)}{(2x-1)(x-1)} - \frac{2x-1}{(2x-1)(x-1)}$
Combine: $\frac{dt}{dx} = \frac{-1}{(2x-1)(x-1)}$
Reciprocate: $\frac{dx}{dt} = -(2x-1)(x-1)$
Distribute: $\frac{dx}{dt} = (1-2x)(x-1)$

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3 years ago

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