The area of a trapezoid is 216 in2 and it two bases are 14 and 22 inches long. Find the height of the trapezoid.

Mathematics

1 answer:

artcher [175]3 years ago

6 0

Answer:

12 inches

Step-by-step explanation:

The formula for a trapezoid is

A = 1/2(a +b)h

The formula to find the height =

h = 2A/a + b

A= 216 in²

a =14 in

b = 22 in

Hence,

h = 2 × 216/14 + 22

h = 12 inches

The height of the trapezoid = 12 inches

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Janice is 7 years older than Tam. Complete the table, and then graph this situation.

qwelly [4]

Answer:

The table in the exercise can be completed with the next results:

x y
2 9
4 11
6 13
8 15

Step-by-step explanation:

As in the exercise Janice is 7 years older than Tam, to obtain the result in the table, you must add 7 to each age in the column x, with this we can make the next formula:

y = x + 7

Remember that x is Tam's age, and y is Janice's age, so, you must replace the x variable in each case to obtain the result to y:

When x is 2:

y = 2 + 7
y = 9

When x is 4:

y = 4 + 7
y = 11

When x is 6:

y = 6 + 7
y = 13

When x is 8:

y = 8 + 7
y = 15

At last, to obtain the graph you can use the formula made: y = x + 7, and you'll obtain a graph like the attached picture, where each time x obtain a unit, the y variable obtain a unit too maintaining the diference of 7.