P = 2(L + W)
L = W + 5
A = 4P + 2
P = 2(W + 5 + W)
P = 2(2W + 5)
P = 4W + 10
A = 4P + 2
A = 4(4W + 10) + 2
A = 16W + 42
A = L * W
A = W(W + 5)
A = W^2 + 5W
W^2 + 5W = 16W + 42
W^2 + 5W - 16W - 42 = 0
W^2 - 11W - 42 = 0
(W + 3)(W - 14) = 0
W - 14 = 0
W = 14 <==
L = W + 5
L = 14 + 5
L = 19 <==
P = 2(19 + 14)
P = 2(33)
P = 66
A = L * W
A = 19 * 14
A = 266
answer : length = 19, width = 14....perimeter = 66....area = 266
Answer:
x+16=4x-5. {being vertically opposite angle}
16+5=4x-x
21=3x
or, 21/3=x
hence, x=7
Answer:
D. 108 liters
Step-by-step explanation:
Given that the leak is ;
5 drops = 5 minutes
?= 4 weeks
Find number of hours in 4 weeks
1 week=7days
4 weeks=?--------------cross multiply
4×7=28 days
1 day=24 hours
28 days=?--------------cross multiply
28×24=672 hours
Hour= 60 minutes
672 hours=?
672×60=40320 minutes
Finding the leakage in 4 weeks
80 drops= 5 minutes
?=40320 minutes------------cross multiplication
(40320×80)÷5 =645120 drops
Finding the liters of water wasted in 4 weeks
60 drops of water= 10 milliliters
645120 drops of water=?-------------cross multiply
(645120×10)÷60 =107520 milliliters
But you know
1 milliliter=0.001 liters
107520 milliliters=?-----------cross multiply
107520×0.001
=107.52 liters
=108 liters
Answer:
x = 85
Step-by-step explanation:
x - 20 = 62
add the 20 on both sides x - 20 = 62
+20 +20
add 62+20 to get 85 x = 85
Option A) Center: (2,5) & Radius=7 is the correct one.
<u>Step-by-step explanation:</u>
The general form of the equation of the circle is given as :
⇒ (x-h)² + (y-k)² = r²
where,
- (h, k) are coordinates of the center point of the circle.
- r is the radius of the circle.
Therefore, you need to compare the given equation with the general equation of the circle.
The given equation of circle is (x-2)² + (y-5)² = 49
From the given equation, it can be determined that
h = 2 and y = 5 and r² = 49
The center (h,k) of the circle is (2,5).
<u>To find the radius r :</u>
⇒ r² = 49
⇒ r = 7
The radius of the circle is 7.
∴ Option A) Center: (2,5) & Radius=7 is the correct one.
