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spayn [35]
3 years ago
14

The cost of hot drinks in a café is shown:

Mathematics
1 answer:
aksik [14]3 years ago
7 0

Answer:

10.8

Step-by-step explanation:

2.40+2.60= 5

2.00(2)+1.80=5.8

5+5.8= 10.8

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What is the volume of the cone to the nearest cubic millimeter? (Use ​π = 3.14)
rjkz [21]

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given:

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radius [r]=5mm

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3 years ago
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Graph the image of this figure after a dilation with a scale factor of 13 centered at the point (4, −2) .
Sonja [21]

Answer:

From the given triangle figure;

Labelled the triangle as A , B and C.

The coordinates of this triangle ABC  are;

A = (1, 10) ,

B = (-2, 4)

C = (7, 4).

Given : Scale factor(k) = \frac{1}{3} and centered at point (4, -2).

The rule of dilation with k= \frac{1}{3} and center at point (4,-2) is:

(x, y) \rightarrow (\frac{1}{3}(x-4)+4 , \frac{1}{3}(y+2)-2)

(x, y) \rightarrow (\frac{1}{3}x-\frac{4}{3}+4 , \frac{1}{3}y+\frac{2}{3}-2)

or

(x, y) \rightarrow (\frac{1}{3}x+\frac{8}{3} , \frac{1}{3}y-\frac{4}{3})

then, the dilation of the given figure are;

A(1, 10) \rightarrow (\frac{1}{3}\cdot 1+\frac{8}{3} , \frac{1}{3} \cdot 10-\frac{4}{3}) = (\frac{1}{3}+\frac{8}{3} , \frac{10}{3}-\frac{4}{3}) =(\frac{9}{3} , \frac{6}{3}) = A'(3 , 2)

B(-2, 4) \rightarrow (\frac{1}{3}\cdot -2+\frac{8}{3} , \frac{1}{3} \cdot 4-\frac{4}{3}) =(-\frac{2}{3}+\frac{8}{3} , \frac{4}{3}-\frac{4}{3}) =(\frac{6}{3} , \frac{0}{3}) =B'(2 , 0)

C(7, 4) \rightarrow (\frac{1}{3}\cdot 7+\frac{8}{3} , \frac{1}{3} \cdot 4-\frac{4}{3}) =(\frac{7}{3}+\frac{8}{3} , \frac{4}{3}-\frac{4}{3}) =(\frac{15}{3} , \frac{0}{3}) = C'(5 , 0)

The coordinates of dilation images are:

A' = (3,2) , B' = (2, 0) and C' = (5, 0)

You can see the graph of the dilated image as shown below:

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3 years ago
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