I need help finding the area of a composed figure

Mathematics

1 answer:

snow_tiger [21]3 years ago

6 0

You have a trapezoid and a triangle...

area of a trapezoid=height*(base1+base2)/2

a1=3(12+8)/2=30 ft^2

area of triangle=hb/2

a2=4(12-8)/2=8 ft^2

a1+a2=38 ft^2

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a group of hikers park there trail head and hike into the forest to a campsite. The next morning they head out on a hike from th

tiny-mole [99]

Answer: The campers will be $40\ miles$ from their car after 12 hours.

Step-by-step explanation:

<h3> The missing graph is attached.</h3>

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" the y-intercept.

We can pick two points on the line graphed and substitute the coordinates into this formula to find the slope:

$m=\frac{y_2-y_1}{x_2-x_1}$

Choosing the points (0,4) and (2,10), we get:

$m=\frac{4-10}{0-2}=3$

We can susbstitute the point (0,4) and the slope into $y=mx+b$ and solve for "b":

$4=3(0)+b\\\\b=4$

Then, the equation of this line is:

$y=3x+4$

Since the distance in miles is represented on the y-axis and the time in hours is represented on the x-axis. we can rewrite the equation as:

$d=3h+4$

Finally, in order to calculate the distance in miles that the campers will be from their car after 12 hours, we need to subsitute $h=12$ into the equation and evaluate. Then we get: