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alukav5142 [94]
3 years ago
14

Steve is trying to increase his average pace per mile by running hills. The hill on 1st Avenue rises 3 vertical feet for each ho

rizontal foot. The hill on 16th Avenue rises 1 vertical foot for every 3 horizontal feet.
Which hill will be more difficult for Steve to run up? Explain your reasoning.

Mathematics
2 answers:
marissa [1.9K]3 years ago
7 0
1st Avenue would be more difficult because it’s rise and run is for every one foot forward it is 3 feet up. Meanwhile avenue 16th would start at (3,1) and the rise and run would be for every 3 feet it would go up 1 foot.
Liula [17]3 years ago
7 0

Answer:

The first Avenue will be more difficult  for Steve to run up.

Step-by-step explanation:

Before to get started, please take a look  at the attached sketch below.

Take in account that slope is a number that describes the steepness of a line. It  can be computed   through the ratio of the vertical change to the horizontal change.

According to this, the slope of the first avenue is 3/1 and the slope of the 16th avenue is 1/3. Therefore, the first avenue inclination is greater than 16 th avenue. This means that the first avenue requires  more effort  to be run up.

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Three support beams form a pair of complementary angles (x+3 (2x-3). Find the measure of each angle.
german

Answer:

33°, 57°

Step-by-step explanation:

The sum of angle measures is 90°, so we can write ...

(x +3) + (2x -3) = 90

3x = 90 . . . . . . . . . . . . simplify

x = 30 . . . . . . . . . . . . . divide by 3

The first angle is 30+3 = 33 degrees.

The second angle is 2·30-3 = 57 degrees.

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Check:

33° +57° = 90°

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2 years ago
A regular hexagon has an apothem measuring 14 cm and an approximate perimeter of 96 cm.
WINSTONCH [101]
Given:
hexagon
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perimeter of the hexagon: 96 cm

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4 0
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Hope this helps!

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7 added to the product of 14 and f
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