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bezimeni [28]
3 years ago
11

the lengths of the sides of a triangle are consecutive even integers. the perimeter is 42. what is the length of the longest sid

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Mathematics
1 answer:
Alex3 years ago
5 0

Answer:

Assuming x as the length of the longest side, x is 16 units.

Step-by-step explanation:

x+(x-2)+(x-4)=42\\3x-6=42\\3(x-2)=42\\x-2=14\\x=16

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Why is this graph proportional?
Anastasy [175]

Answer:

The graph represents a linear function that passes through the origin.

Step-by-step explanation:

Proportional functions can be represented by y=kx, where k is some constant. They form a straight line that always pass through the origin (0,0). We can see all these characteristics in the graph, thus the graph is proportional.

8 0
2 years ago
#20
yKpoI14uk [10]

0.48 miles

Step-by-step explanation:

Step 1

It is given that the grade(slope) is 4%. This means that for every 100 miles traveled, the elevation changes by 4 miles.

Step 2

Hence for a distance of 12 miles , the elevation changes by 12*4/100 = 48/100 = 0.48 miles. [Using direct proportion]

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3 years ago
Morgan's mom wants to borrow $720 to buy a new computer. The store will charge her 8% simple interest for one year. How much wil
Afina-wow [57]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
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What are the next three terms in the pattern 2, 6, 18, 54, ...?
castortr0y [4]

Answer:

OPTION B: 162, 486, 1458

Step-by-step explanation:

The given sequence is 2, 6, 18, 54, . . .

It is a geometric sequence and the common difference is 3.

The general form of a geometric sequence is: a, ar, ar², ar³, . . .

Here a = 2 and r = 3.

$ n^{th} $ term of a Geometric progression is $ ar^{n - 1} $.

Note that the fourth term is 54.

i.e., $ ar^3 = 54 $

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Similarly, $ ar^6 = 162 \times 3 = 486 $.

Also, $ ar^7 = ar^6 . r = 486 \times 3 = 1458 $.

Hence, OPTION B is the answer.

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2 years ago
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Need help please<br> please use the image below to answer
spayn [35]

Answer:

Step-by-step explanation:

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