Answer:
x = 5
Step-by-step explanation:
The area (A) o a rectangle is calculated as
A = lb ( l is length and b the breadth ), thus
x² + x - 12 × 
= 126 ← factor the quadratic
(x + 4)(x - 3) × = 126 ← cancel the common factor (x - 3)
(x + 4)(x + 9) = 126 ← expand factors using FOIL
x² + 13x + 36 = 126 ( subtract 126 from both sides )
x² + 13x - 90 = 0 ← in standard form
(x + 18)(x - 5) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 18 = 0 ⇒ x = - 18
x - 5 = 0 ⇒ x = 5
However x > 0 ⇒ x = 5
The answer is C. when you have questions like these, its best to plug in an easy number and test it out.
Say the original radius was 2. That means the area of that sprinkler was 12.56 (if you use the formula Pi(radius)squared.
a number 3 times bigger then 2, is 6. (2 times 3 = 6) There fore, following the same formula as before, you plug that number in and get 113.04 as the area of the new sprinkler.
113.04 divided by 12.56 is 9
8 inches is the answer first you divide 23 by 2 which gives you 11.5 then 92÷11.5=8 you do it this way because of the formula you use for area with a triangle 1/2 base times height
Answer: 6.28 feet
Step-by-step explanation:
Area of the lens= πr^2
Since area has been given as 3.14
3.14 = πr^2
Note that π = 3.14
3.14 = 3.14r^2
r^2 = 3.14/3.14
r^2 = 1
r = ✓1
r = 1
The radius of the lens is 1
Circumference of the lens= 2πr
= 2 × 3.14 × 1
= 6.28 feet
Answer:
Hey!
10,000 less than 30,427.169 is 20,427.169
Step-by-step explanation:
We just do 30,427.169 - 10,000 which gives us 20,427.169
30,427.169
- 10,000.000 (make sure to have the columns aligned...)
_______________
20,427.169 (subtract all the numbers from 30,427.169)
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