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3 years ago

Write the integer that represents the opposite of each situation. Explain what zero means in each situation.

Mathematics

1 answer:

zlopas [31]3 years ago

3 0

Answer:

The correct answers are:

a) -100

b) +32

c) +25

Step-by-step explanation:

a) The integer that represents '100 feet above sea level' is +100. The opposite integer is -100. In this case zero means sea level, so:

above sea level the quantities are positive
below sea level the quantities are negative

b) The integer that represents '32°C below zero' is -32. The opposite integer is +32. In this case zero means 0°C which is the water melting temperature (temperature when water passes from solid to liquid), so:

above zero the quantities are positive

below zero the quantities are negative

c) The integer that represents 'a withdrawal of $25' is -25. The opposite integer is +25. In this case zero means no entrances and no withdrawals, so:

entrances are positive
withdrawals are negative

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Miranda and cyndi start hiking from the same point. miranda hikes at a heading of , or due west, and cyndi hikes at a heading of

igomit [66]

They are both 6.9 miles apart after one hour if they both hike 4 miles/hour

The correct option is (B)

<h3>What is the triangle?</h3>

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

<h3>According to the given information:</h3>

Miranda and Cyndi start hiking from the same point. Miranda hikes at a heading of 270° or due west, and Cyndi hikes at a heading of 30°

<h3>From the isosceles triangle:</h3>

h = 4sin30

h = 4(1/2)

h = 2 miles

<h3>From Pythagoras theorem:</h3>

x² = 4² - h² = 4² - 2²

x = √12

x = 3.46 miles

Total distance = 2×3.46 = 6.9 miles

Thus, they are both 6.9 miles apart after one hour if they both hike 4 miles/hour option (B) 6.9 miles is correct.

Learn more about the triangle here:

brainly.com/question/25813512

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I understand that the question you are looking for :

Miranda and Cyndi start hiking from the same point. Miranda hikes at a heading of , or due west, and Cyndi hikes at a heading of , or n e. if they both hike 4 miles/hour, approximately how far apart are they after one hour?

A) 4.3 miles. .

B) 6.9 miles

C) 8.0 miles

D) 5.7 miles

4 0

1 year ago

The graph shows the relationship between the United States dollar and the euro, the currency of the European Union, in December

olasank [31]

The graph is missing, so i have attached it;

Answer:

Constant of proportionality = 0.75

Step-by-step explanation:

From the graph attached, we are given 3 coordinate points of (x, y) namely;

(120, 90), (250, 187.5), (400, 300)

Now, constant of proportionality for each coordinate point is simply;

k = y/x

Thus, for first coordinate point (120, 90),

k1 = 90/120

k1 = 0.75

For 2nd coordinate point (250, 187.5),

k2 = 187.5/250

k2 = 0.75

For third coordinate point (400, 300),

k3 = 300/400

k3 = 0.75

From each of the 3 points, we can see the constant of proportionality is the same and equal to 0.75.

6 0

2 years ago