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3 years ago

In March, Delphine's house had 40% more snowfall than in February. Delphine's house had f centimeters of snowfall in February.

Mathematics

2 answers:

slamgirl [31]3 years ago

4 0

Answer: Options 'C' and 'E' are correct.

Step-by-step explanation:

Since we have given that

Quantity of snowfall in February at Delphine's house be f centimeters

Quantity of snowfall in March at Delphine's house be 40% more than in February.

According to question,

$40\%\ of\ f=0.4f\\\\Therefore,\\\\f+0.4f=1.4f$

So, Options 'C' and 'E' are correct.

i.e. C) 1.4f

E) $\frac{4}{10}f+f$

Amanda [17]3 years ago

3 0

the answer is C and E

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42. Which matrix represents the image of the triangle with vertices at (-2,0), (1,5), and (4,-8) when dilated by a scale factor

jasenka [17]

The second matrix $\left[\begin{array}{ccc}-6&3&12\\0&15&-24\end{array}\right]$ represents the triangle dilated by a scale factor of 3.

Step-by-step explanation:

Step 1:

To calculate the scale factor for any dilation, we divide the coordinates after dilation by the same coordinated before dilation.

The coordinates of a vertice are represented in the column of the matrix. Since there are three vertices, there are 2 rows with 3 columns. The order of the matrices is 2 × 3.

Step 2:

If we form a matrix with the vertices (-2,0), (1,5), and (4,-8), we get

$\left[\begin{array}{ccc}-2&1&4\\0&5&-8\end{array}\right]$

The scale factor is 3, so if we multiply the above matrix with 3 throughout, we will get the matrix that represents the vertices of the triangle after dilation.

Step 3:

The matrix that represents the triangle after dilation is given by

$3\left[\begin{array}{ccc}-2&1&4\\0&5&-8\end{array}\right] = \left[\begin{array}{ccc}3(-2)&3(1)&3(4)\\3(0)&3(5)&3(-8)\end{array}\right] = \left[\begin{array}{ccc}-6&3&12\\0&15&-24\end{array}\right]$

This is the second option.

4 0

3 years ago

in a recent season NASCAR driver Jimmie Johnson won 6 of the 36 total races held to the nearest thousand ,find the part of races

castortr0y [4]

So, the fraction of races that he won was:

$\frac{6}{36}$ : you need ti divide the number of occurrences by the number of possibilities.

We can simplify this:
$\frac{1}{6}$ .

When we write it in decimals until the closest place, it's:

0.167 or 16.667%

5 0

3 years ago

Read 2 more answers

Find the area of the parallelogram with a base of 12 units and height of 8 units. Use your rectangle from the previous question

Troyanec [42]

Answer:

96 units^2

Step-by-step explanation:

A of parallelogram =base×height

12×8= 96 units^2

8 0

2 years ago