Answer:
Area = 209.5 ft² (nearest tenth)
Cost = $505 (approximated)
Step-by-step explanation:
Step 1: convert the inches to be in feet by dividing length in inches by 12.
17 feet 10 inches => 
11 feet 9 inches => 
Step 2: Find the area of the floor of the dinning room
Area = 17.83*11.75 = 209.5 ft² (nearest tenth)
Step 3: Find the cost of the work.
Cost = 209.5 ft² × $2.41 = $505 (approximated)
Answers:
x = 2√2 units
y = 2√6 units
Explanation:
The given diagram is a right-angled triangle. This means that the special trig functions can be applied.
These functions are as follows:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
For getting x and y, we can choose to either work with θ = 30 or θ = 60.
I will work with 30.
1- For x:
We have:
θ = 30
x is the opposite side to θ
4√2 is the hypotenuse
Therefore, we can apply the sine function as follows:
sin θ = opposite / hypotenuse
sin (30) = x / 4√2
x = sin (30) * 4√2
x = 2√2 units
2- For y:
We have:
θ = 30
x is the adjacent side to θ
4√2 is the hypotenuse
Therefore, we can apply the cosine function as follows:
cos θ = adjacent / hypotenuse
cos (30) = y / 4√2
y = cos (30) * 4√2
y = 2√6 units
Hope this helps :)
Answer:
a) -12
b) 8+11x+11b-3x^2-3b^2-6xb
c)-52
Step-by-step explanation:
in a) we have to substitute the value of x with 5
in b) we substitute the value of x with (x+b) and then simplify
in c) just have to substitute x with -3
Answer:
Step-by-step explanation:
Yasmina:
5.25 x 5 = 26.25 per week
5.25 x 20 = 105 per month
5.25 x 260 = 1365 per year
Camila:
9.75 x 35 = $ 341.25 earnings per week
341.25 x 0.20 = 68.25 saves per week
9.75x35x 4= 1365 earnings per month
1365 x 0.20 = 273 saves per month
9.75 x 35 x 52 = 17745 earnings per year
17745 x 0.20 = 3549 saves per year
get a common denominator which is 24
3 7/8 = 3 21/24
6 /4 = 6 6 /24
3 21/24 - 6 6 /24
big number minus small number take sign of larger
6 6/24
- 3 21/24
-------------
5 30/24
3 21/24
--------------
2 9/24
2 3/8
the sign of the larger is negative
-2 3/8
