Ask question

Ask question

All categories

3 years ago

7

Triangle ABC has sides measuring 18 centimeters, 16 centimeters, and 10 centimeters. Which could be the side lengths of a dilati

on of ABC?

1 answer:

Nookie1986 [14]3 years ago

7 0

Answer:

The sides could be 9, 8, and 5 cm respectively.

Step-by-step explanation:

You might be interested in

find three consecutive even integers such that the sum of the smallest integer and twice the median integer is 20more than the l

3241004551 [841]

X = smallest; x + 2 = middle, and x + 4 = largest
x + 2(x+2) = 20 + x + 4
x + 2x + 4=24 +x
3x + 4 = 24 + x
2x = 20
x = 10
so the three integers are 10, 12, and 14

3 0

4 years ago

Help will mark Brainliest

Rufina [12.5K]

Answer:

4.03 < 16.5

Step-by-step explanation:

Four and three hundreths = 4.03

sixteen and five-tenths = 16.5

4.03 < 16.5

5 0

2 years ago

Match the value to the correct image. Not all values will be used.

tresset_1 [31]

The <em>approximate surface</em> areas of corresponding prisms are listed below:

<em>A = 108 units²</em>
<em>A = 229 units²</em>
<em>A = 454 units²</em>

<h3>How to match given surface areas with given figures</h3>

The <em>surface</em> area of the each figure ( $A$ ), in square units, is equal to the sum of the <em>surface</em> area of the two bases ( $A_{b}$ ), in square units, and the <em>surface</em> areas of the <em>lateral</em> sides ( $A_{l}$ ), in square units. Since bases are <em>regular</em> polygons, <em>base surface</em> area can be determined by this expression:

$A_{b} = \frac{l^{2}\cdot n }{4\cdot \tan \frac{180}{n} }$ (1)

Where:

<em>l</em> - Side length, in units
<em>n</em> - Number of sides

The area of one lateral side is expressed by this expression:

$A_{l} =h\cdot l$ (2)

Where <em>h</em> is the height of the rectangle, in units.

The total surface area is defined by the following formula:

$A = 2\cdot A_{b} + n\cdot A_{l}$ (3)

Now we proceed to calculate each surface area:

<h3>Case I ( $l = 2$ , $n = 6$ , $h = 9$ )</h3>

$A = 2\cdot \left[\frac{2^{2}\cdot (6)}{4\cdot \tan \left(\frac{180}{6} \right)} \right]+6\cdot (2)\cdot (9)$

<em>A = 108.136 units²</em>

<h3>Case II ( $l = 4\sqrt{3}$ , $n = 3$ , $h = 9$ )</h3>

$A = 2\cdot \left[\frac{(4\sqrt{3})^{2}\cdot (3)}{4\cdot \tan \left(\frac{180}{3} \right)} \right]+3\cdot (4\sqrt{3})\cdot (9)$

<em>A = 228.631 units²</em>

<h3>Case III ( $l = 6$ , $n = 5$ , $h = 11$ )</h3>

$A = 2\cdot \left[\frac{6^{2}\cdot (5)}{4\cdot \tan \left(\frac{180}{5} \right)} \right]+5\cdot (6)\cdot (11)$

<em>A = 453.874 units²</em>

The <em>approximate surface</em> areas of corresponding prisms are listed below:

<em>A = 108 units²</em>
<em>A = 229 units²</em>
<em>A = 454 units²</em>

To learn more on surface areas, we kindly invite to check this verified question: brainly.com/question/2835293

3 0

2 years ago

What is 5 to the fourth power

Ivahew [28]

Answer:

5^4 is 625

Step-by-step explanation:

5×5=25

25×5=125

125×5=625

1. 2. 3. 4. =

5×5×5×5=625

8 0

3 years ago

Read 2 more answers

You saved 300 to spend over summer. You decide to budget 50 to spend each week. Write and equation that represents the situation

Anestetic [448]

Y=300-50x
Y= total $
X= number of weeks

5 0

3 years ago

Read 2 more answers