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Leto [7]
3 years ago
10

A park near Raphael's home is shaped like a trapezoid. To find its area, Raphael walked along the short base and measured it. Th

en he walked at a right angle and measured the distance to the other side of the park. Finally he measured the long distance of the base. Use Raphael's measurements shown below to find the area of the park. Enter your answer in the box.
Mathematics
1 answer:
QveST [7]3 years ago
8 0

Answer:

A = h * (a + b) / 2

Step-by-step explanation:

Raphael measured all the measurements necessary to calculate the area of a trapezoid.

First, the short part that we will call "a", then when he walks at a right angle to the other side would be the height, which we will call "h" and lastly he measured the longest side which we will call "b"

The trapezium has as area:

A = h * (a + b) / 2

Therefore, although the problem does not give the values, it is only to replace the values as shown in the previous formula and it can be solved.

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
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2 years ago
A horse ran 800 meters in 40 seconds , 1200 meters in 60 seconds , and 480 meters in 24 seconds . Is this a proportional relatio
frosja888 [35]

Answer:

This is a proportional relationship, the constant of proportionality is 20m/s and it represents that the horse can run 20 meters every second.  

Equation:  d = 20s, where d=distance and s=number of seconds.

Step-by-step explanation:

In order to find out whether this relationship is proportional, you need to see if the rate at which the horse runs is constant (the same).  If you look at the three sets of data (24, 480), (40, 800) and (60, 1200) where the pair is (seconds, meters), you can see that for any two sets of data the change in meters divided by the change in seconds is consistently 20m/s.  For example:

\frac{1200-800}{60-40}=\frac{400}{20}=20

Since the constant is 20, we know that the horse can run 20 meters every second.  To find the horse's total distance, we need to multiply the rate by the number of seconds that it runs:

d = 20s

8 0
3 years ago
Find the solution to the system of equations: x + 3y = 7 and 2x + 4y = 8 1. Isolate x in the first equation: 2. Substitute the v
klemol [59]
X + 3y = 7
x = -3y + 7

2x + 4y = 8
2(-3y + 7) + 4y = 8
-6y + 14 + 4y = 8
-2y = 8 - 14
-2y = - 6
y = -6/-2
y = 3

x + 3y = 7
x + 3(3) = 7
x + 9 = 7
x = 7 - 9
x = -2

solution is (-2,3)
6 0
3 years ago
Read 2 more answers
Can someone please help me on this one
Artemon [7]

Answer:  78.5 units^2

Step-by-step explanation:

The area of the circle is equal to pi*radius^2.

The diameter is double the radius, which means the radius is 10/2 = 5.

Therefore, the area is pi*5^2 = 25pi.

We use 3.14 for pi and we get 25*3.14 = 78.5 units^2

7 0
2 years ago
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