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3 years ago

Jared wrote an equation for the perimeter of an equilateral triangle as 3x = 20. What does x represent in his equation?

2 answers:

7 0

The perimeter of an object is equal to its sides added up. Because this is a triangle, it will have 3 equal sides. Since the triangle has 3 equal sides, its perimeter will be equal to one of its side lengths * 3.

Because the perimeter will be equal to one of its side lengths * 3, x is equal to one of the triangle's side lengths.

kumpel [21]3 years ago

5 0

X is the variable for the length of the sides.

Because a equalilateral ∆ has 3 equal sides, they can be represented by one term (x)

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Monica is making a recipe that uses 5 cups of beans in 2 cups of carrots which combination below uses the same ratio of beans

lbvjy [14]

Answer: 10 to 4

Step-by-step explanation:

Since the starting ratio is 5 to 2 then you just need to multiply 5*2=10 and 2*2= 4

hope this helps

4 0

3 years ago

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Two trains leave stations 304 miles apart at the same time and travel toward each other. one train travels 85 miles per hour whi

lukranit [14]

Answer:

22min

Step-by-step explanation:

7 0

2 years ago

Natasha places an online order for plate holders to display her antique plates. She chooses a specific site because it has a pro

Sunny_sXe [5.5K]

Answer:

Total online purchase is $26.473 .

Step-by-step explanation:

As given

Natasha places an online order for plate holders to display her antique plates.

Natasha orders 3 large holders for $4.95 each, 2 medium holders for $3.25 each and 2 small holders for $1.75 each.

Thus

Total purchase of Natasha = Number of large holders × Cost of each large holder + Number of medium holders × Cost of each medium holder + Number of small holders × Cost of each small holder .

Put all the values in the above

Total purchase of Natasha = 3 × $4.95+ 2 × $3.25 + 2 × $1.75

= $14.85 + $6.5 + $3.5

= $ 24.85

As given

Site has a promotional offer of 15% off on all purchases.

15% is written in the decimal form

$= \frac{15}{100}$

= 0.15

Discount amount = 0.15 × Total purchase of Natasha .

= 0.15 × $24.85

= $ 3.7275

Thus

Total purchase of Natasha after discount = Total purchase of Natasha - Discount amount .

= $24.85 - $3.7275

= $ 21.1225

As given

Natasha must pay a flat rate of $5.35 for shipping and handling.

Thus

Total online purchase of Natasha = Total purchase of Natasha after discount + Flat rate for shipping and handling .

Total online purchase of Natasha = $21.1225 + $5.35

= $ 26.4725

= $26.473 (Approx)

Therefore the total online purchase is $26.473 .

5 0

3 years ago

Read 2 more answers

What is the amplitude, period, and phase shift of f(x) = −4 sin(2x + π) − 5?

Nostrana [21]

Answer:

Amplitude = -4; period = π; phase shift: x = π/2

Step-by-step explanation:

* Lets revise the trigonometry translation

- If the equation is y = A sin (B(x + C)) + D

* A is the amplitude

- The amplitude is the height from highest to lowest points and

divide the answer by 2

* The period is 2π/B

- The period is the distance from one peak to the next peak

* C is the horizontal shift (phase shift)

- The horizontal shift is how far the function is shifted to left

(C is positive) or to right (C is negative) from the original position.

* D is the vertical shift

- The vertical shift is how far the function is shifted vertically up

(D is positive) or down (D is negative) from the original position.

* Now lets solve the problem

∵ f(x) = A sin (B(x + C)) + D

∵ f(x) = -4 sin (2x + π) - 5 ⇒ take 2 from the bract (2x + π) common factor

∴ f(x) = -4 sin 2(x + π/2) - 5

∴ A = 4 , B = 2 , C = π/2 , D = -5

∵ A is the amplitude

∴ The amplitude is -4

∵ The period is 2π/B

∴ The period = 2π/2 = π

∵ C is the horizontal shift (phase shift)

∴ The phase shift π/2 (to the left)

* Amplitude = -4; period = π; phase shift: x = π/2

4 0

2 years ago

The graph above represents a step function. A graph of a step function resembles steps of a staircase because it does not repres

ira [324]

Answer:

We have been given the step function:

We need to find the function from the given graph

The function will be $3\left \lceil \frac{x}{2} \right \rceil$

Whenever we put different values of y we will get the values of y which should be the value according to the graph.

We will convert 121 min in hours since, graph shows the x-axis in hours.

$121\text{minutes}=\frac{121}{60}=2.01$ hours

So, since we need to find cost to park for 121 minutes or 2.01 hours we will put x=2.01 in the formed function above:

$3\left \lceil \frac{2.01}{2} \right \rceil$

$3\left \lceil 1.005 \right \rceil$

And $\left \lceil 1.005 \right \rceil=2$ being a floor function which always consider the next integer to the decimal inside the function.

$3\cdot 2$

$6$ is the cost for 121 minutes or 2.01 hours

Therefore, option c is correct that is $6.

5 0

3 years ago

Read 2 more answers