Answer:
<h2>A = 82.5 in²</h2>
Step-by-step explanation:
The formula of an area of a trapezoid:
b₁, b₂ - bases
h - height
We have b₁ = 10in, b₂ = 5in and h = 11in. Substitute:
Step-by-step explanation:
Everything is solve by ABi Nandan.....
Given y=6-[sqrt(4-3x)], focus on the sqrt function: sqrt(4-3x). Since the input of this function cannot be negative, any x-value used must pass the test 4-3x>0. This is equivalent to 4>3x, or 3x<4, or x < 4/3. This eliminates choice E.
Second, if the y value is an integer, then sqrt(4-3x) must be an integer.
Checking answers A through D:
A: sqrt(4-3) = sqrt(1) = 1 (OK) Then y=6-[sqrt(1)] = 5 (NO)
B: sqrt(4-0) = 2 (OK) Then y=6-2 = 4 (NO)
C: sqrt(4-0) = 2 (OK) Then y=6-2 = 4 (NO)
D: sqrt(4-15) Not OK; eliminate
Correct answer: F: None of the above answers are correct
Answer:
perimeter of the fountain = 15π ft. or 47.1 ft. to the nearest 10th
Step-by-step explanation:
The semicircles have a circumference of 1/2πd = 1/2π(10) = 5π
Both semicircles together have a length of 5π + 5π = 10π
The radius of the 1/4 circle is 10, so the diameter is 20
The length of the 1/4 circle's arc is 1/4 times the circumference of its circle
So, the length of that arc is 1/4π(20) = 5π
Now the perimeter of the fountain is 10π + 5π = 15π
340,000 : 5= 68,000
68,000 x 2 =136,000
so 2/5 of 340000 is 136,000