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The actual distance between two cities is 1250 mi. the shortest distance between the two cities on a map is 10 in. what is the s

Varvara68 [4.7K]

So the scale is usually ine inch of the map to actual distance right?we
So we need to calculate how much one inch is.
So we are told 10 inches is 1250 miles right?
So for one inch we need to divide the number of inches for the equivalent distance.
In this case it is 10 and 1250 miles.
So dividing 1250 by 10 gives you 125 right?
That means for every one inch on the map it is 125 miles right.
This can be written like 1:125.
This is how they write scales in the map.
It means for one unit in the map it is 125 units in real life

6 0

3 years ago

Find the slope of the line. On a coordinate plane, a line goes through (0, negative 6) and (2, 0). a. Negative one-third c. 3 b.

statuscvo [17]

The slope of the line that passes through between (0, -6) and (2, 0) is: C. 3.

<h3>What is the Slope of a Line?</h3>

The slope of a line can be defined as the measure of the ratio of the vertical distance to the horizontal distance that exists between two points on a coordinate plane.

<h3>How to Find the Slope of a Line?</h3>

If we are given two points on a line, (x1, y1) and (x2, y2), the slope (m) is the rise/run = change in y / change in x = (y2 - y1)/(x2 - x1).

Given the following coordinates of two points as follows, (0, -6) and (2, 0), let:

(0, -6) = (x1, y1)

(2, 0) = (x2, y2)

Plug in the values into the slope formula to find the slope:

Slope (m) = (0 - (-6)) / (2 - 0)

Slope (m) = (0 + 6) / (2 - 0) [minus multiplied by minus is plus]

Slope (m) = (6) / (2)

Slope (m) = 3

Thus, the slope of the line that passes through between (0, negative 6) and (2, 0) is calculated as: C. 3.

Learn more about slope on:

brainly.com/question/3493733

#SPJ1

5 0

2 years ago

Between a and b is 10 between a and c 6 these are for the small triangle

stiks02 [169]

Answer:

m=15

Step-by-step explanation:

since side QS is 9 and side AC is 6 which is 1.5 times bigger so there is a dilation of 1.5 meaning all sides are 1.5 times bigger on the right triangle than the left triangle. Side AB is 10 so 1.5 times 10 is 15 so m=15

4 0

2 years ago

Which expression models the rental cost after n hours?

Licemer1 [7]

Can you show the models?

7 0

3 years ago

Sam attempts a 42-yard field goal in a football game. For his attempt to be a success, the football needs to pass through the up

Zigmanuir [339]

Answer:

The correct option is;

The kick is good! The ball clears the crossbar by nearly 15 feet.

Step-by-step explanation:

Here we have;

Velocity of ball = 70 ft/s

Angle of motion = 50°

Therefore;

Vertical component of velocity, $v_y$ = v×sinθ = v×sin×50 = 53.62 ft/s

$v_y$ = u $_y$ - g·t

At maximum height $v_y$ = 0, therefore;

u $_y$ = g·t and

t = u $_y$ /g

Where:

u $_y$ = Initial vertical velocity = 53.62 ft/s

g = Acceleration due to gravity = 32.1740 ft/s²

∴ t = 53.62/32.1740 = 1.66666 s

Total time of flight = 2 × 1.66666 = 3.33332 s

Max height is given by the following relation;

v $_y$ ² = u $_y$ ² - 2·g·s

v $_y$ = 0 ft/s at maximum height, therefore;

u $_y$ ² = 2·g·s

53.62² = 2×32.1740×s

s = 53.62² ÷(2×32.1740) = 44.69 ft

Horizontal velocity = 70×cos(50) = 44.995 ft/s

Hence the time it takes the ball to reach 42 yards is given by the following relation;

42 yards = 126 ft

$Time, t = \frac{Distance}{Velocity} = \frac{126}{44.995} = 2.8 \, s$

Height of ball at 2.8 s is given by;

Direction of ball at 2.8 s = downwards

Hence time after peak = 2.8 - 1.666 = 1.1336429 s

Position at 2.8 s is given by

s = u $_y$ ·t + 1/2·g·t²

u $_y$ = 0 ft/s as ball is on second half of flight

∴ s = 1/2·g·t² = 1/2×32.1740×1.1336429²= 20.674 ft below maximum height

∴ Height above ground = Maximum height - 20.674 ft = 44.69 - 20.674

Height above ground = 24.01 ft

Hence the ball clears the crossbar by 24.01 - 10 = 14.01 ft

The best option is therefore;

The kick is good! The ball clears the crossbar by nearly 15 feet.

8 0

4 years ago