Answer:
77.74 square feet
Step-by-step explanation:
1. We have to keep the triangle and the rectangle apart and find the area of each separately then add the areas together.
The formula for the area of a rectangle is height x width = area
So, 6.5 feet x 10.4 feet = 67.6 feet squared
The formula for the area of a triangle is height x width x (1/2) = area
So, 5.2 feet x 3.9 feet x (1/2) = 10.14 feet squared
Now, add the two areas together.
10.14 square feet + 67.6 square feet = 77.74 square feet
Answer:
Domain → 0 < x < 5
Step-by-step explanation:
Sasha sells T-shirts and earns a fixed amount plus a commission by selling each shirt. (As given in the table)
Table attached shows a linear function (A regular increase in total pay with the increase in number of shirts sold)
So the input values of the table (Number of shirts sold) will represent the domain of the linear function.
Hence, reasonable domain for the function will be → 0 < x < 5
If you notice the picture below, the amount of fencing, or perimeter, that will be used will be 3w + 2l
now

solve for "w", to see what critical points you get, and then run a first-derivative test on them, for the minimum
notice the

so. you can pretty much skip that one, though is a valid critical point, the width can't clearly be 0
so.. check the critical points on the other
The simplified expression is 
Step-by-step explanation:
Here, the total number of cards in a given deck = 52
let E : Event of drawing a first card which is King
Total number of kings in the given deck = 4
So,
= 
Now, as the picked card is NOT REPLACED,
So, now the total number of cards = 52 - 1 = 51
Total number of queen in the deck is same as before = 13
let K : Event of drawing a second card which is queen
So,
= 
Now, the combined probability of picking first card as king and second as queen = P(E) x P(K) = 
Hence, the simplified expression is 