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Ne4ueva [31]
3 years ago
6

Andrea runs 4 miles every day, but she wants to increase her distance in order to run a 26 mile marathon. She decides to add 2 m

iles each day to her distance until she achieves her goal. If she starts with 6 miles today, how many miles will she have run in total, by the time she achieves her 26 mile goal? The correct answer is 176 miles.
Mathematics
1 answer:
Doss [256]3 years ago
6 0

Answer:

By the time she achieves her 26 mile goal Andrea will have run 176 miles.

Step-by-step explanation:

Since Andrea runs 4 miles every day, but she wants to increase her distance in order to run a 26 mile marathon and she decides to add 2 miles each day to her distance until she achieves her goal, to determine, if she starts with 6 miles today, how many miles will she have run in total, by the time she achieves her 26 mile goal the following calculation should be performed:

6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 + 22 + 24 + 26 = X

14 + 22 + 30 + 38 + 46 + 26 = X

36 + 68 + 72 = X

36 + 140 = X

176 = X

So, by the time she achieves her 26 mile goal Andrea will have run 176 miles.

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Answer:

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Step-by-step explanation:

using the cosine and tangent ratio in the right triangle and the exact values

cos45° = \frac{1}{\sqrt{2} } and tan45° = 1 , then

cos45° = \frac{adjacent}{hypotenuse} = \frac{5\sqrt{2} }{m} = \frac{1}{\sqrt{2} } ( cross- multiply )

m = 5\sqrt{2} × \sqrt{2} = 5 × 2 = 10

-----------------------------------------

tan45° = \frac{opposite}{adjacent} = \frac{n}{5\sqrt{2} } = 1 , then

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2 years ago
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qwelly [4]

Hey there!!

Steps to get into equation which is perpendicular:

  • Change the slope
  1. The slope of a perpendicular line is always negative reciprocal.
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'm' is the slope.

We have the slope as 1/3

The perpendicular slope would be -3.

Point slope:

The point = (-2,2)

y - 2 = -3( x - (-2) )

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<em>Hence, the equation would be : </em>

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spin [16.1K]

Answer:

  B.  y = x +3

Step-by-step explanation:

The fastest way to find this answer is to substitute offered values of x and y into the given equations to see if they are true.

<h3>Substitution</h3>

Using the first line in the table, (x, y) = (2, 5), we have ...

  A  5 = 2(2) . . . . false

  B  5 = 2 +3 . . . . true

  C  5 = 3(2) . . . . false

  D  5 = 2 +1 . . . . false

__

<em>Additional comment</em>

Checking answer choices against the problem statement is one of many possible strategies for answering multiple-choice questions.

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Answer:

B

Step-by-step explanation:

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