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Kruka [31]
3 years ago
13

A triangle has an area of 30 cm². The base and height are scaled by a factor of 3.

Mathematics
1 answer:
tatuchka [14]3 years ago
4 0
Area of a triangle:
A = a * h / 2
where a is the base and h is the height.
For a new triangle:
A ( new ) = 3 a * 3 h / 2 = 9 * a * h / 2 = 9 A
A ( new ) = 9 * 30 = 270 cm²
Answer: The area of resulting triangle is 270 cm² .
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On a number line what is the distance between -3/2 and 6?
sesenic [268]

Answer:

  • 7.5 units

Step-by-step explanation:

The distance is always positive and is same as the absolute value of subtraction of the two numbers on the line.

<u>This can be shown as:</u>

  • |-3/2 - 6| =
  • |-1.5 - 6| =
  • |-7.5| =
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or

  • | 6 - (-3/2)| =
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ΔABC with vertices A(-3,-3), B(6,3), and C(6,-9) is dilated by a scale factor of 1/3 from the origin. What are the coordinates o
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Step-by-step explanation:

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3 years ago
A manufacturer has fixed costs of $16,000 per month and can produce w widgets at a cost of 0.1w^(2) + 20w. How many widgets shou
musickatia [10]
Consider c as the cost of the widget so that our given equation is
c = 0.1w^2 + 20w
Take the derivate of the equation.
d/dt (c = 0.1w^2 + 20w)
dc/dt = 0.2w + 20
Given dc/dt = $16000 per month, the number of widgets would contain:
16000 = 0.2w + 20
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HELP URGENT STEP FUNCTIONS!!!!!!! Used books cost $2.25 each. Which expression represents the total number of books that can be
irinina [24]

Answer:

A. \left \lfloor \frac{10}{2.25} \right \rfloor

Step-by-step explanation:

We are given,

The cost of one book = $2.25

Since, it takes $2.25 to buy 1 book.

The, for $10, we can get \frac{1}{2.25}\times 10 i.e. \frac{10}{2.25} = 4.44

Since, number of books cannot be in decimals.

So, the closest integer to 4.44 is 4.

Hence, we can buy 4 books from $10.

Now, according to the options:

A. \left \lfloor \frac{10}{2.25} \right \rfloor = \left \lfloor 4.44\right \rfloor = 4

B. \left \lceil \frac{10}{2.25} \right \rceil = \left \lceil 4.44 \right \rceil=5

C. \frac{10}{\left \lceil 2.25\right \rceil} =\frac{10}{3} =0.33

D. \frac{10}{\left \lfloor 2.25\right \rfloor} = \frac{10}{2} = 5

Hence, we see that from the options, A is correct.

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