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ladessa [460]
2 years ago
5

What is the value of -16 divided by 2.5

Mathematics
1 answer:
tamaranim1 [39]2 years ago
8 0
Hey the answer to your question is -6.4
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The point A = (7,4) is dilated from the origin by a scale factor r = 3. What are the coordinates of A' ?
fomenos

Given:

The coordinates of point A are (7,4).

It is dilated from the origin by a scale factor r = 3.

To find:

The coordinates of A'.

Solution:

If a figure is dilated from the origin by a scale factor k, then

(x,y)\to (kx,ky)

Here, the figure is dilated from the origin by a scale factor 3, so the rule of dilation is given by:

(x,y)\to (3x,3y)

Using this rule, we get

A(7,4)\to A'(3(7),3(4))

A(7,4)\to A'(21,12)

Therefore, the coordinates of point A' are (21,12).

6 0
2 years ago
The lateral area of a cylinder is 100pi in^2. If its dimensions are reduced to one-fifth their original length, what would its n
Tamiku [17]

Answer:

4pi in^2

Step-by-step explanation:

Lateral surface area of a cylinder = 2πrh

π = pi

r = radius

h = height

Let me illustrate with an example

A cylinder has the following dimensions

r = radius = 20  

h = height  = 10

lateral area = 2 x π x 20 x 10 = 400π

If dimensions are reduced to one-fifth their original length, new dimensions are

r = radius = 20  x 1/5 = 4

h = height  = 10 x 1/5 = 2

New lateral area = 2 x 4 x 2 x π = 16π

change in lateral area = 400π / 16π = 25

If dimensions are reduced by 1/5, lateral area would reduce by 25

100 pi / 25 = 4

4 0
3 years ago
The admission prices for a small fair are $1.50 for children and $4.00 for adults. In one day there was $5050 collected. If we k
aliina [53]

Answer: 475 adults paid admission

Step-by-step explanation:

1.50c+4a=5050 (1.50 per child and 4 per adult)

1.50(2100)+4c=5050 (2100 children times 1.5 each)

3130+4a=5050

4a=1900

a=475

3 0
3 years ago
Rewrite as a positive exponent 5 – 2
Vadim26 [7]
To express
5
−
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x
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5
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5 0
3 years ago
Convert the units.<br> ____ mL = 2L
almond37 [142]

Answer:

2000mL=2L

Step-by-step explanation:

8 0
3 years ago
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