Dimensions of the rectangle (width and length) are 19 cm and 31 cm respectively.
Step-by-step explanation:
- Step 1: Given that the perimeter = 100 cm, let width be x cm and then length = 12 + x.
Perimeter of a rectangle = 2(length + width)
100 = 2(x + 12 + x)
100 = 4x + 24
4x = 100 - 24 = 76
∴ x = 76/4 = 19 cm
∴ Length = 19 + 12 = 31 cm
150 more male bats need to be tagged
if you want 2/5 to be female you divide the 260 (<160+100) by 2 to get 130
then you multiply 130 by 3 to get the total amount of male bats that need to be tagged
130*3=390
then you subtract 240 from the 390 to find out how many more bats need to be tagged
390-240=150
we have that
Applying proportion
x/9=5.5/3
solve for x
x=9*(5.5/3)
x=16.5 ft
therefore
<h2>the answer is 16.5 ft</h2>
Answer:
12, 8, and 4
Step-by-step explanation:
a + d + a + a - d = 24
3a = 24 ⇒ [ a = 8 ]
and (a + d)² + a² + (a - d)² = 224
3a² + 2d² = 224
2d² = 224 - 192 = 32
d² = 16
[ d = ±4 ]
∴ The first three terms to A.P are
a + d = 8 + 4 = 12
a - = 8
a - d = 8 - 4 = 4
∴ Three terms are 12 , 8, and 4
