Answer:
The area of the figure is 63.25 square feet
Step-by-step explanation:
we know that
The area of the figure is equal to the area of semicircle plus the area of triangle
step 1
Find the area of semicircle
The area of semicircle is

we have
----> the radius is half the diameter

substitute


step 2
Find the area of the triangle
The area of triangle is equal to

we have

substitute


step 3
The area of the figure is equal to

substitute

Sets A and I are defined as follows. A = { − 1 , 0 , 1 , 2 , 4 , 6 , 7 } I = { − 2 , − 1 , 1 , 2 , 8 } Find the intersection of
mars1129 [50]
<h3>
Answer: {-1, 1, 2}</h3>
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Explanation:
Start with set A and circle any value that you find in set I. Those values are -1, 1, and 2. These elements are found in both sets at the same time, hence they are in the intersection of set A and set I
Refer to the Venn diagram below. We have the values -1, 1, and 2 in the blue overlapped region. A value like 4 is only found in set A, so it's inside circle A, but outside circle I. On the flip side, a value like 8 is found outside of circle A but inside circle I.
The use of curly braces in the answer tells the reader we're dealing with a set of values. The order doesn't matter for any given set. Often it's helpful to put it in order from smallest to largest.
Answer:
II case.
Step-by-step explanation:
Given that a catering company prepared and served 300 meals at an anniversary celebration last week using eight workers.
The week before, six workers prepared and served 240 meals at a wedding reception.
Productivity is normally measured by number of outputs/number of inputs
Here we can measure productivity as
no of meals served/no of workers
In the I case productivity =
In the II case productivity = 
Obviously II case productivity is more as per worker 40 meals were served which is more than 37.5 meals per worker in the I case.
This is a right angle triangle and you use the Pythagorean theorem to solve for the hypotenuse (the diagonal)
A^2 + B^2 = C^2
8^2 + 8^2 = C^2
64 + 64 = C^2
128 = C^2
C = square_root (128)
C = 11 (to the nearest whole number)
The diagonal is 11 feet (to the nearest whole number)
Answer:
8.25*10^24
Step-by-step explanation:
1000*.25= 250 (this converts the .25 into milliliters)
250(3.3 * 10^22)
= 8.25*10^24