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Lisa [10]
4 years ago
14

How do I do this? Help

Mathematics
1 answer:
Aliun [14]4 years ago
8 0
Since each point of the triangle is going to be 1.5 times as far from the center of dilation, each side will increase by a factor of 1.5..

3 x 1.5 = 4.5m
4 x 1.5 = 6m
5 x 1.5 = 7.5m

So the perimeter of the new triangle will be 4.5 + 6 + 7.5 = 18 meters
 
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The additional cost per month of a sunroof, spoiler and stereo is represented by three consecutive even integers, respectfully.
lesya [120]

Answer:

16

Step-by-step explanation:

First of all, I think it was "respectively", not "respecfully", =))). A noticeable point.

From the problem, three item's costs are represented by three consecutive even integer.

Thus, we can call cost of spoiler is x, sunroof is x-2, stereo is x + 2. It is conditioned that x is an even number.

Since the sum of the three is 48, we have

(x-2) + x + (x+2) = 48

x+x+x -2 +2 = 48

3x =48

x=16

So the spoiler is 16; thus, the sunroof is 14 and the stereo is 18

3 0
3 years ago
A tree is leaning at a 5° angle from vertical, making an 85° angle with the ground. When the sun is at a 65° angle of elevation,
Vinvika [58]
D = 25 ft is the length of a shadow. L -  the length of a tree.
Two angles are 85° and 65° and the third is 180° - ( 65° + 85° ) =
= 180° - 150° = 30°.
We will use the Sine Law:
25 / sin 30° = L / sin 65°
25 / 0.5 = L / 0.9063
25 * 0.9063 = 0.5 L
22.6577 = 0.5 L
L = 22.6577 : 0.5
L = 45.3 ft.
Answer: the approximate length of the tree is 45.3 ft.


3 0
3 years ago
During the 2010 baseball​ season, the number of wins for three teams was three consecutive integers. Of these three​ teams, the
elena55 [62]

Answer:

Step-by-step explanation:

Let x represent the number of wins of the least team.

The number of wins for three teams was three consecutive integers. Of these three​ teams, if the first team had the most wins and the last team had the least wins. It means that the number of wins of the second team would be x - 1

The number if wins on the last team would be x - 2

The total number of wins by these three teams was 243. It means that

x + x - 1 + x - 2 = 243

3x - 3 = 243

3x = 243 + 3 = 246

x = 246/3 = 82

The first team had 82 wins

The second team had 82 - 1 = 81 wins

The last team had 82 - 2 = 80 wins

5 0
3 years ago
Write three rational expressions that simplify to (x+1)/(x-1)
Dmitry [639]

Answer:

x^2 / x(x+1)

x^3 / x^2(x+1)

2x / 2(x+1)

Step-by-step explanation:

5 0
4 years ago
Please help me simplify these expressions
vaieri [72.5K]

Answer:

6p^5 q^3

Step-by-step explanation:

download the app cymath for these types of questions

this (^) means exponents

-----

Number 5:

2p^2qx3p^3q^2

Take out the constants (2x3)p^2p^3qq^2

Simplify 2x3 to 6, 6p^2p^3qq^2

6p^2+^3q^1+^2

simplify 2+3 to 5, 6p^5q^1+^2

simplify 1+2 to 3

6p^5 q^3

4 0
4 years ago
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