A 7 foot by 3 foot doorway is to be cut into the trapezoid shaped wall. What is the area of the wall without the doorway

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Answer:

96 cubic feet

Step-by-step explanation:

The volume calculation for the dimensions of 16 ft by 18 ft by 1/3 ft is as follows:

V = LWH

V = (16 ft)(18 ft)(1/3 ft) = 96 ft³

Thus, 96 cubic feet of concrete will be required.

...z........................

The formula for the sum of an arithmetic series is expressed as:
Sn=n/2(a1+an)
where:
n=total terms
a1=the initial term
an=the final term
given
n=18, an=275, Sn=4185
substituting these values into the equation results in:
4185=18/2(a1+275)
after simplification, we obtain:
4185=9(a1+275)
dividing by 9 yields:
465=a1+275
therefore
a1=465-275
a1=190

Conclusion: the first term is 190

Result: OPTION D.

Step-by-step reasoning:

The total cost for Lindy can be calculated employing the expression given in the task:

Here, "d" signifies the drinks ordered and "t" represents the toppings on a medium pizza she selects.

Since she and her friends order 4 drinks alongside a medium pizza that includes 3 toppings, you can derive the total cost by substituting these values into the provided expression.

The values are:

Upon substituting into the expression and performing the calculations, the result is: