<span><span>L
* W = 300 sq ft
</span><span>
Length is 10 ft greater than twice the width.
L = 2W + 10
Substituting
(2W+10)*W = 300
2W^2 + 10W = 300
Divide both sides by 2
W^2 + 5W = 150
W^2 + 5W - 150 = 0
Factor
(W +15)(W -10) = 0</span></span>
<span>
<span>
Roots are W=-15 and W=10.
A negative width is impossible, so W=10
L = 2W + 10
L = 2(10) + 10
L = 30</span></span>
length = 30 feet, width = 10 feet
<span> Check:
30*10 = 300</span>
Answer:
a = 12 and b = 18
Step-by-step explanation:
Given that,
8,a,b,27 are in geometric sequence.
For a GP, the nth term is given by :
Put n = 4
Put n = 2,
Put n = 3
So, the values of a and b is 12 and 18 respectively.
Short Answer: A
Remark
C
Let's start with the false choices.
If they were colinear, then if AB + BC would = 5 or 1 depending on the location of C. Answer C is not correct.
B
a b and c do not form a right triangle. a^2 + b^2 ≠ c^2
2^2 + 3^2 = 13 not 16 (which is what c^2 or 4^2 = )
D
D is false. Equilateral triangles have 3 equal sides.
A is true. Since A and C are opposites and you have eliminated C by arguing A. Then A must be the answer.
Answer:
450*3x x = each year
Step-by-step explanation:
450*3*5=6750
